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This top-of-the-line software is like having your math professor on call 24/7...
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Locations of Instructional Materials

Instructional Materials: Math

Students often find it helpful to review mathematical concepts repeatedly or from multiple points of view.  The Center for Learning Enhancement has a variety of materials presenting concepts in various ways by different instructors. If one resource isn't particularly helpful, alternatives are almost always available.  To locate a math resource which is stored on the Center's open shelves, go to .  To get access to CDs and other  instructional software, see a CLE staff member.


Arem, C. (1993). Conquering math anxiety: A self-help workbook.  Pacific Workbook Icon Grove, CA: Brooks/Cole.


Smith, R. M. (1991). Mastering mathematics: How to be a great math student (2nd ed.).  Belmont, CA: Wadsworth.
Open Book Icon Tips on how to adjust your attitude toward math, how to study most effectively, and how to prepare for math tests.  

Studying the Content Areas, Mathematics (H&H Publishing, 1988, 35 min.videos + workbook + audiocassette)

VHS Tape IconTape Icon These materials address basic study skills useful in any math course.  

          1.  Surveying Textbooks (~17 min.)
          2.  Surveying Textbook Chapters (~17 min.)
          3.  Reading and Marking Textbook Chapters (~18 min.)
          4.  Using Maps, Diagrams, Graphs, and Tables  (~18 min.)
          5.  Solving Word Problems (12 min.)
          6.  Taking Tests (19 min.)
          7.  Using the Library (21 min.)

Basic Math

Basic Mathematics (Accelerated Learning Systems, 1987, video)
VHS Tape Designed as a stand-alone telecourse, the ALS series is a carefully sequenced and detailed explanation of basic mathematics.  Diagnostic tests of content mastery are included.  The video cases of the ALS basic math tapes are coded with a pink dot.
1. Addition facts  (45 min.)




Basic Mathematical Skills (PWS/Educational Video Resources, 1994, 25 min.videos) 
VHS Tape Icon This instructional series is helpful to students currently enrolled in a basic mathematical skills course or a pre-algebra mathematics course, or for anyone wanting to review basic mathematical skills. Elayn Martin-Gay from the University of New Orleans teaches a variety of topics common to most basic courses. For a detailed description of each module,
Instructor Picture
        1001. Whole numbers- place value, addition, subtraction, rounding 
           1002. Whole numbers- multiplication order of operation
           1003. Whole numbers- division
           1004. Factors and multiples
           1005. Fractions, equivalent fractions, and mixed numbers
           1006. Fractions- multiplication and division
           1007. Fractions- least common denominators, addition
           1008. Decimals- addition, subtraction, multiplication and rounding
           1009. Decimals- division, converting to fractions
           1010. Percent and applications
           1011. Percent and application II
           1012. Perimeter and area
           1013. Operations with signed numbers
           1014. Solving equations
           1015. Exponents
           1016. More exponents and introduction of radicals
           1017. Estimating
           1018. Applications with fractions
           1019. Ratios and proportions
           1020. Applications of proportions
           1021. Comfortable with percents
           1022. U.S. customary system
           1023. Metric system
           1024. Thinking metric
           1025. Order of operations
           1026. Introduction to variables
           1027. Applications of linear equations

Bobrow, J. (1995). Basic math and pre-algebra (Cliff's Quick Review Series).  Open Book Icon Lincoln, NB: Cliffs Notes.

Brooks, L.D. (1991). Math for workplace success: General business.  Eden Open Book Icon Prairie, MN: Paradigm.

Lerner, J.J., & Zima, P. (1985). Theory and problems of business mathematics Open Book Icon (Schaum's Outline Series). New York: McGraw-Hill.

Rich, B. (1977). Review of elementary mathematics (Schaum's Outline Series). Open Book Icon New York: McGraw-Hill.

Slater, J. (2000). Practical business math procedures (Brief 6th ed.). Boston: Open Book Icon Irwin.


Studying the Content Areas/Mathematics: Solving Word Problems
(H&H Publishing, 1988, 35 min.video) 
VHS Tape Icon Word problems are presented as written text and diagrams as the narrator explains how to work through the logical processes needed to solve them. 

Westbrook, P. (1999). Mathsmart for business: Essentials of managerial Open Book Icon finance (The Princeton Review Series).  New York: Random House.

Wheeler, R.E., & Wheeler, E.R. (1995). Modern mathematics (9th ed.). Pacific vOpen Book Icon Grove, CA: Brooks/Cole. 

Wheeler, R.E., & Wheeler, E.R. (1995). Instructor's manual for Workbook Icon Modern mathematics (9th ed.). Pacific Grove, CA: Brooks/Cole. 


Wood, M.M., & Capell, P. (1995). Developmental mathematics (5th ed.). Open Book Icon Boston: PWS.

Wood, M.M., & Capell, P. (1995). Instructor's manual for Workbook IconDevelopmental mathematics (5th ed.). Boston: PWS.


MathQuest
(PWS, 1995, software)
Computer Icon DOS-based interactive software corresponding to the 5th edition of Developmental Mathematics by Wood & Capell. Feedback is given for correct and incorrect answers.

Developmental Mathematics (College of Charleston, n.d., video series)
VHS Tape Icon Designed to accompany the Wood & Capell text, this set of short videos demonstrates key concepts in Math 0096 and Math 0097. Hope Florence, Director of the Math Lab at the College of Charleston, works through a series of math problems illustrating fundamental math topics.
          Vol. 1: Arithmetic
          Vol. 2: Polynomials
             Vol. 3: Linear equality and inequality
             Vol. 4: Graphs and systems of equations
             Vol. 5: Intermediate algebra

Algebra

Basic Algebra (Accelerated Learning Systems/Learned & Tested, 1987, video series)
VHS Tape Icon Designed as a stand-alone telecourse, the ALS series is a carefully sequenced and detailed explanation of basic algebra.  Diagnostic tests of content mastery are included. The video cases of the ALS algebra tapes are coded with a blue dot.

1. Introduction to integers and rational numbers (60 min.)
Beginning Algebra:  Series II (Dekalb College, 1988, video) 
VHS Tape Icon A videotape series showing faculty teaching the various topics listed below.  Preferred over ALS videos by some people with math anxiety because of the human element included in the instruction.  Less detailed than the ALS video series and no mastery tests are provided.  Content spans Math 0096-Math 0099 courses. The video cases of the Dekalb algebra tapes are coded with a yellow dot. Older versions of the Dekalb tapes are coded with an orange dot.
          1.(558) Reducing, Multiplying, and Dividing Fractions  (14 min.)
          2. (559) Adding and Subtracting Fractions  (14 min.)
          3. (560) Algebraic Symbols  (13 min.)
          4. (561) Introduction to Exponents  (6 min.)
          5. (562) Order of Operations  (10 min.)
          6. (563) Variables:  Evaluating Algebraic Expressions  (7 min.)
          min.)
         35. (592) Dividing Polynomials and Monomials  (12 min.)
         36. (593) The Quotient of Two Polynomials  (19 min.)
         37. (594) Factors and Prime Factored Form  (11 min.)
         38. (595) Greatest Common Factors  (20 min.)
         39. (596) Factoring by Grouping  (15 min.)
         40. (597) Factoring Trinomials:  Part I  (21 min.)
         41. (598) Factoring Trinomials:  Part II (16 min.)
         42. (599) Factoring:  Difference of Two Squares/Perfect Square Trinomials  (14 min.)
         43. (600) Factoring:  Sum and Difference of Cubes  (13 min.)
         44. (601) Steps in Factoring  (14 min.)
         45. (602) Solving Quadratic Equations by Factoring  (16 min.)
         46. (603) Applications of Quadratic Equations  (13 min.)
         47. (604) Reducing Rational Expressions  (16 min.)
         48. (605) Multiplication and Division of Rational Expressions  (23 min.)
         49. (606) Least Common Denominators  (15 min.)
         50. (607) Addition and Subtraction of Rational Expressions  (22 min.)
         51. (608) Complex Fractions  (16 min.)
         52. (609) Equations Involving Rational Expressions  (22 min.)
         53. (610) Ratio and Proportion  (12 min.)
         54. (611) Applications of Rational Expressions:  Part I  (14 min.)
         55. (612) Applications of Rational Expressions:  Part II  (9 min.)
         56. (613) Linear Equations in Two Variables:  Ordered Pairs  (14 min.)
         57. (614) Graphing Ordered Pairs  (13 min.)
         58. (615) Graphing Linear Equations:  Part I  (17 min.)
         59. (616) Graphing Linear Equations:  Part II  (13 min.)

Bobrow, J. (1994). Algebra I (Cliffs Quick Review Series).  Lincoln, NB: Cliffs Open Book Icon Notes.


Johnson, M. (1976). How to solve word problems in algebra: A solved problem Open Book Icon approach.  New York: McGraw-Hill.

The Math Tutor: Algebra Series (Video Tutorial Service, 1998, video)
VHS Tape Icon A five-part video review of algebra for students who want to refresh their understanding of material learned in the past.  Particularly helpful for students who had algebra courses in high school and who are preparing for placement exams.
          Part 1. Algebraic terms and operations (50 min.)
             Part 2. Solving algebraic equations of the first degree and inequalities (60 min.)
             Part 3. Factoring and solving quadratic equations (30 min.)
             Part 4. Solving simultaneous equations and inequalities algebraically and
                         geometrically (30 min.)
             Part 5. Verbal problems and introduction to trigonometry (45 min.)

Mini-Courses in Math:  Algebra Series (Educulture, 1974, audiocassettes + workbook)

Tape IconWorkbook Icon Each modular lesson uses a cassette tape and a response manual to help students learn and review.  The format is to listen, read a little,
answer questions or work exercises, and find out whether the answers are right or wrong. Interaction with the material is required, promoting active learning.
          Module 1. Polynomial arithmetic
             Module 2. Factoring I
             Module 3. Factoring II
             Module 4. Algebraic fractions I
             Module 5. Algebraic fraction II
             Module 6. Exponents and radicals
             Module 7. Linear equations and inequalities in one variable 
             Module 8. Quadratic equations and inequalities in one variable
             Module 9. Functions, relations, and inverses
             Module 10. Graphs and variations
             Module 11. Linear relations
             Module 12. Quadratic relations
             Module 15. Logarithms
             Module 16. Sequences and series
             Module 17. Probability
             Module 19. Field axioms and elementary proof

Kohn, E. (1995). Algebra II (Cliffs Quick Review Series). Lincoln, NB: Cliffs Open Book Icon Notes.


Mayes, R.L., & Lesser, L.M. (1998). ACT in algebra: Applications, concepts, and technology in learning algebra. New York: WCB/McGraw-Hill.
Open Book Icon This text emphasizes expressing and analyzing relationships in real world situations. Readers will critically analyze data, induce patterns, discover relationships, and define modeling functions. The TI-92 graphing calculator and computer algebra systems are used as tools for exploring mathematical concepts and relationships.  

Ross, D.A. (1996). Master math: Algebra. Franklin Lakes, NJ: Career Press.
Open Book Icon

Intermediate Algebra by McKeague 4/e (Harcourt, 2002, 4.5 hour video) 
VHS Tape Icon The core concepts for each of the first seven chapters of Intermediate Algebra: Concepts and Graphs, 4/e, are presented by the author, Charles P. McKeague.  This instructional presentation is divided into 50 problem-solving lessons useful in preparing for class, clarifying homework problems, and reviewing for tests.

Intermediate Algebra by McKeague 4/e (Harcourt, 2002, CD-ROM)
Computer Icon This CD which accompanies the textbook of the same name is a clearly organized set of video lessons by Charles McKeague.  The author systematically works through specific problems correlated with each chapter of the text. 

 

Book Cover
CD-ROM Cover
Intermediate Algebra by McKeague 3/e (Saunders, 1999, videos)
VHS Tape Icon These instructional materials correspond with material included in the McKeague textbook used in Math 0099.  McKeague is currently a full-time writer of college level math textbooks, having written a total of ten math textbooks ranging from basic mathematics through trigonometry. In addition to writing, he teaches at Cuesta College in San Luis Obispo, California
        
1. Basic definitions and properties
            2. Equations and inequalities in one variable
            3. Equations and inequalities in two variables
            4. Rational expressions
            5. Rational exponents and roots
            6. Quadratic equations
            7. Systems of linear equations in two variables
            8. Exponential and logarithmic functions
            9. Sequences and series
           10. Conic sections

 

McKeague Picture  
Intermediate Algebra by McKeague (Saunders, 1994, videos)
VHS Tape Icon These are older instructional materials which roughly correspond with material included in the McKeague textbook used in Math 0099. McKeague is currently a full-time writer of college level math textbooks, having written a total of ten math textbooks ranging from basic mathematics through trigonometry. In addition to writing, he teaches at Cuesta College in San Luis Obispo, California.
         
1. Basic properties and definitions
             2. Linear equations and inequalities in one variable
             3. Exponents and polynomials
             4. Rational expressions
             5. Equations and inequalities in two variables
             6. Rational exponents and roots
             8. Systems of linear equations
             9. Relations, functions, and conic sections
            10-11. Logarithms/Sequences and series

McKeague Picture
Intermediate Algebra: Concepts & Graphs by McKeague (Saunders, 1998, 4 hr. video)
VHS Tape Icon The core concepts for each of the first seven chapters of Intermediate Algebra: Concepts & Graphs, Third Edition, are presented by the author.  This video may be used to prepare for class, to clarify homework problems, or to review for tests.
McKeague Picture


McKeague, C.P. (1998). Intermediate algebra: Concepts and graphs (3rd ed.) Open Book Icon Orlando, FL: Saunders/Harcourt Brace.

Garlow, J. (1998). Student solutions manual to accompany Workbook Icon McKeague's Intermediate algebra: Concepts and graphs (3rd ed.). Orlando, FL: Saunders/Harcourt Brace.

McKeague, C.P. (1998). Instructor's answer manual to accompany Workbook Icon McKeague's Intermediate algebra: Concepts and graphs (3rd ed.). Orlando, FL: Saunders/Harcourt Brace.

Intermediate Algebra by Larson & Hostetler (Heath, 1992, video)
VHS Tape Icon Dana Mosely, the video instructor, has over fifteen years of classroom teaching experience and twelve years of video teaching experience, from junior high school through junior college levels. Dana's teaching style is relaxed and easy to understand. He has a knack for explaining difficult math topics using living room conversation, and in so doing he takes the anxiety out of the most intimidating topics. The video cases are coded with a small red dot on a larger blue dot.          
             1. Introduction to algebra
             2. Linear equations and inequalities
             3. Polynomials and factoring
             4. Rational expressions
             5. Radicals and complex numbers
             6. Quadratic expressions and inequalities
             7. Introduction to analytic geometry
             8. Functions and mathematical models
             9. Systems of equations and inequalities
Math Instructor Picture

Larson, R.E., & Hostetler, R.P. (1992). Intermediate algebra. Lexington, MA: D.C. Open Book Icon Heath.

Vidrine, G.C. (1992). Complete solutions guide to Workbook Icon Larson/Hostetler's Intermediate algebra.  Lexington, MA: D.C. Heath.


Martin-Gaye, K.E. (1997). Intermediate algebra (2nd ed., Annotated Open Book Icon instructor's ed.) Upper Saddle River, NJ: Prentice Hall.

Intermediate Algebra (PWS/Educational Video Series, 1994, 25-30 min.videos)
VHS Tape IconThis series is helpful to students currently enrolled in an intermediate algebra course, reviewing before enrolling in a college algebra course, or for anyone wanting to refresh their intermediate algebra skills.  Elayn Gay-Martin from the University of New Orleans teaches a variety of topics common to most intermediate algebra courses.  Many of the topic titles are the same as for the beginning algebra series, but at a level consistent with intermediate algebra courses.  The video cases are coded with a small green dot on a larger yellow dot.  For a detailed description of each module,         3001. Solving linear equations
           3002. Applications that lead to linear equations
           3003. Solving linear equations
           3004. Solving absolute value equations
           3005. Compound inequalities
           3006. Solving absolute value inequalities
           3007. Exponents
           3008. Addition, subtraction, and multiplication of polynomials
           3009. Greatest common factor and factoring trinomials
           3010. Factoring binomials
           3011. General factoring
           3012. Solving quadratic equations by factoring
           3013. Multiplication and division of rational expressions
           3014. Addition and subtraction of rational expressions
           3015. Complex fractions
           3016. Division of rational expressions
           3017. Equations involving rational expressions
           3018. Applications that lead to equations involving rational expressions
           3019. Rational exponents
           3020. Simplifying radicals
           3021. Addition and subtraction of radical expressions
           3022. Multiplication and division of radical expressions
           3023. Radical equations
           3024. Miscellaneous quadratic equations solved by factoring
           3025. Solving quadratic equations by completing the square
           3026. Solving quadratic equations by the quadratic formula
           3027. Applications that lead to quadratic equations
           3028. Intercepts, distance, midpoint
           3029. Slope and equations of straight lines
           3030. Functions and graphs of linear inequalities
           3031. Simultaneous equations

Instructor Picture

Streeter, J., Hutchison, D., & Hoelzle, L. (1998). Intermediate algebra (3rd ed.). Open Book Icon Boston: WCB/McGraw-Hill.

Wood, M.M., Capell, P., & Hall, J.W. (1982). Intermediate algebra. Boston: Open Book Icon PWS-Kent.

College Algebra (Prentice Hall, 1988, video)
VHS Tape Icon This series of videos is explicitly designed to supplement classroom learning in Math 0099 and Math 1101. Roger Breen is currently a math professor at the Florida Community College at Jacksonville.  The video cases are coded with a reddish dot.
         
1A. Introduction/Uses of interval notation
             1B. Introduction to relations and functions
             2A. Inverse exponential and logarithmic functions
             2B. Graphing rational functions
             3A. Circle, ellipse, hyperbola
             3B. Systems of equations
             4A. Matrices and determinants
             4B. Solving systems of equationa using matrices and determinants
             5A. Introduction to theory of equation
             5B. Sequences and series

Algebra Lessons for the Deaf (Math Learning Center, 1992, video)
VHS Tape Icon Paul Peterson signs selected algebra lectures for deaf students in this video series.
         
            VF-464-3   Solving literal equations
            VF-465-3   Key number factoring of trinomials
            VF-466-3   Addition and subtraction of algebraic fractions
            VF-467-3   Introduction to graphing (Algebra 2B Modules 1, 2, 3)

Aufmann, R.N., & Nation, R.D. (1995). Solutions manual with instructor's Workbook Icon resource manual.  Boston: Houghton Mifflin.


Computer Tutor:  College Algebra and Trigonometry 2/e
(Houghton Mifflin, 1993, DOS 3.5" disks)
Computer Icon These software disks provide exercises with feedback corresponding to topics covered in the Aufmann, Barker, & Nation College Algebra and Trigonometry 2/e textbook.

Barnett, R.A., Ziegler, M.R., & Byleen, K.E. (2000). College algebra: A graphing Open Book Icon approach.  Boston: McGraw-Hill.

Hall, J.W. (1992). College algebra with applications (3rd ed.). Boston: PWS Open Book Icon Publishing.


Interactive Tutorials for Mathematics:  Earth Algebra-College Algebra with Applications to Environmental Issues
(HarperCollins, 1995, 3.5" disks)
Computer Icon These tutorials allow students to review important concepts in mathematics and to practice problem-solving. The use of randomly generated numbers allows students to use the tutorials repeatedly to obtain as much practice as they need.  Full solutions are provided for all problems, and students may print out a record of the work they have done on each section.

Kime, L.A.,& Clark, J. (1998). Explorations in college algebra. New York: Open Book Icon Wiley.

 

College Algebra by Larson & Hostetler 2/e (Heath, 1991, video)
VHS Tape Icon With over fifteen years of classroom teaching experience and twelve years of video teaching experience,  from junior high school through junior college levels. Dana Mosely's teaching style is relaxed and easy to understand. He has a knack for explaining difficult math topics using living room conversation, and in so doing he takes the anxiety out of the most intimidating topics.  These videos roughly correspond with the material covered in Math 0099.  The video cases are coded with a red dot.
         1. Review of fundamental concepts of algebra
            2. Algebraic equations and inequalities
            3. The Cartesian plane and graphs of equations
            4. Functions and graphs
            5. Finding zeroes of polynomial functions
            6. Exponential and logarithmic functions
            7. Systems of equations and inequalities
            8. Matrices and determinants
            9. Sequences, counting principles, and probability
            10. Sections 4.3-4.4
Instructor Picture

Larson, R.E., & Hostetler, R.P. (1989). College algebra (2nd ed.). Lexington, MA: Open Book Icon D.C. Heath.

Larson, R.E., Hostetler, R.P., & Edwards, B.H. (1993). Algebra and trigonometry: Open Book Icon A graphing approach. Lexington, MA: D.C. Heath.

Edwards, B.H., & Zook, D.L. (1993). Study and solutions guide for Workbook Icon Larson, Hostetler, & Edwards' Algebra and trigonometry: A graphing approach. Lexington, MA: D.C. Heath.

Schaufele, C., & Zumoff, N. (1995). Earth algebra: College algebra with Open Book Icon applications to environmental issues. New York: HarperCollins.

Schaufele, C., Zumoff, N., & Straley, T.H. (1995). Instructor's guide Workbook Icon to Earth algebra: College algebra with applications to environmental issues. New York: HarperCollins.

Schmidt, P. (1991). 2500 solved problems in college algebra and trigonometry Open Book Icon (Schaum's Solved Problems Series). New York: McGraw-Hill.

Spiegel, M.R. (1991). Theory and problems of college algebra (Schaum's Open Book Icon Outline Series). New York: McGraw-Hill.

Wells, D., & Schmitt Tilson, L.(1997). College algebra: A view of the world Open Book Icon around us. Upper Saddle River, NJ: Prentice Hall.

Wells, D., & Schmitt, L. (1996). College algebra: A view of the world around us Open Book Icon (preliminary ed.). Upper Saddle River, NJ: Prentice Hall.

College Algebra: In Simplest Terms (Annenberg/CPB, 1991, 30 min.videos)
VHS Tape Icon Series host Sol Garfunkel explains why the algebra branch of mathematics is necessary for solving real-world problems. With this "textbook on film," repeated exposure to concepts and visually oriented presentations improve comprehension. The series includes applications in geometry and calculus instruction.

1: Introduction. Introduces several mathematical themes and emphasizes why algebra is important in today's world.

2: The Language of Algebra. Examines the vocabulary of mathematics, properties of the real number system, and basic axioms and theorems of algebra.

3: Exponents and Radicals. Explores properties and equations of rational numbers and square roots and their applications to positive numbers and the Pythagorean theorem.

4: Factoring Polynomials. Discusses how the distributive property is used to factor common monomial factors, the difference of two squares, trinomials as a product of two binomials, sum and difference of two cubes, and regrouping of terms.

5: Linear Equations. Covers how solutions are obtained, what they mean, and how to check them using one unknown.

6: Complex Numbers. Complex numbers and their use in basic operations and quadratic equations are the focus of this program.

7: Quadratic Equations. Stresses the quadratic formula--how it is used to complete a square, and how it is expressed as the difference or sum of two squares.

8: Inequalities. Develops the basic properties and examines how to solve inequalities using polynomial and rational expressions.

9: Absolute Value. Defines this concept, enabling students to use it in equations and inequalities.

10: Linear Relations. Linear equations are used to develop and give information about two quantities. Their applications to the slope of a line are also shown.

11: Circle and Parabola. Using conic sections, this episode takes a detailed look at circles and parabolas. Terminology and formulas for equations are discussed for each.

12: Ellipse and Hyperbola. Discusses the equations for ellipses and hyperbolas, and demonstrates graphically how to develop the equation from each definition.

13: Functions. Defines a function, develops an equation from real situations, and discusses domain and range. Cryptographic functions--such as Caesar's code--and DNA codes are explored.

14: Composition and Inverse Functions. Graphics are used to introduce composites and inverses of functions as applied to cost and production level.

15: Variation. Many types of variation are covered, including direct, inverse, and joint variation with applications from chemistry, physics, astronomy, and the food industry.

16: Polynomial Functions. How to recognize, graph, and determine all of the intercepts of a polynomial function, as applied to banking, medicine, and energy production.

17: Rational Functions. The properties of rational functions are developed by investigating several graphs to determine the intercepts, symmetry, and asymptotes. Applications demonstrate double time for simple interest, average cost function, and tax rates.

18: Exponential Functions. Covers graphing and developing the equation for an exponential function. Applications include bacteria growth, population growth, and radioactive decay.

19: Logarithmic Functions. Understanding the logarithmic relationship, the use of logarithmic properties, and the handling of a scientific calculator are addressed. How radiocarbon dating and the Richter scale depend on the properties of logarithms is explained.

20: Systems of Equations. Elimination and substitution methods are used to solve problems with systems of studying linear and nonlinear equations. Their applications to supply and demand and to cost and revenue are demonstrated.

21: Systems of Linear Inequalities. This program sets up a problem, finds a solution, develops linear inequalities, graphs these solutions, and forms a region of feasible solutions.

22: Arithmetic Sequences and Series. Uses applications such as linear depreciation and fixed annual raise to develop the basic properties and formulas for arithmetic sequences.

23: Geometric Sequences and Series. Focuses on these concepts and determining the sum of their functions. Calculating the size of retirement savings illustrates their use.

24: Mathematical Induction. This segment exhibits special cases, looks at patterns of numbers that develop, relates the patterns to Pascal's triangle and factorials, and develops the general form of this theorem.

25: Permutations and Combinations. Techniques for counting the number of ways that collections of objects can be arranged, ordered, and combined are demonstrated.

26: Probability. Beginning with games-of-chance, shows how the subject of probability has evolved to include application in such areas as genetics, social science, and medicine.

Lindstrom, P.A. (1992). Study guide for the television course Workbook IconCollege Algebra: In simplest terms. Lexington, MA: COMAP.

Geometry

Coxeter, H.S.M., & Greitzer, S.L. (1967). Geometry revisited.  New York: Open Book Icon Random House/Singer.

Geometry: Right Triangles (Educational Video Resources, 1992, 28 min.video)VHS Tape Icon


The Geometer's Sketchpad
(Key Curriculum Press, 1993, Windows + reference manual).
Computer Icon The student is able to explore geometry through logical abstractions (words) as well as with pictures (graphs).   

The Math Tutor: Geometry Series (Video Tutorial Service, 1998, videos)
VHS Tape Icon Selected topics in geometry, designed for students who want to refresh their understanding of material learned in courses taken in the past.
                Part 1. Introduction to geometric terms, angles, and triangles (35 min.)
                     Part 2. The geometry of parallel lines, geometric figures, the parallelogram, and
                           circles (38 min.)

Statistics

Against All Odds: Inside Statistics (Annenberg/CPB, 1989, 30 min.videos + telecourse study guide)  
VHS Tape Icon With an emphasis on "doing" statistics rather than on passive learning, this series goes on location to help uncover statistical solutions to the puzzles of everyday life. You learn how data collection and manipulation--paired with intelligent judgment and common sense--lead to greater understanding of the world.

1: What is Statistics? Discover how this complex discipline has evolved.

2: Picturing Distributions. Construct stemplots and histograms, and understand the importance of pattern deviation.

3: Describing Distributions. Examine the difference between mean and median and learn of quartiles, box-plots, interquartile range, and standard deviation.

4: Normal Distributions. Shows the progression from histogram to a single normal curve for standard measurement.

5: Normal Calculations. Emission standards and cholesterol studies give examples of normal calculations at work.

6: Time Series. Statistics identify patterns over time, answering questions about stability and change, as seen in the stock market.

7: Models for Growth. Topics include linear growth, least squares, exponential growth, and straightening an exponential growth curve by logic.

8: Describing Relationships. Scatterplots, smoothing scatterplots of response versus explanatory variables by median trace, and least squares regression lines are covered.

9: Correlation. How to derive and interpret the correlation coefficient using the relationship between a baseball player's salary and his home run statistics.

10: Multidimensional Data Analysis. This program recaps the data analysis by showing computing technology at Bell Communications Research.

11: The Question of Causation. The relationship between smoking and lung cancer is examined, and a study of admissions data illustrates Simpson's paradox.

12: Experimental Design. Distinguish between observational studies and experiments, and learn the basic principles of design, including comparison, randomization, and replication.

13: Blocking and Sampling. Understand random sampling and the difference between single-factor and multi-factor experiments.

14: Samples and Surveys. Stratified random sampling is explained. A 1936 Gallup election poll yields information about undercoverage.

15: What Is Probability? Distinguishes between deterministic phenomena and random phenomena.

16: Random Variables. Topics covered include independence, the multiplication rule for independent events, and discrete and continuous random variables.

17: Binomial Distributions. Calculate the mean and standard deviation of binomial distributions, and see a representative example of binomial distribution.

18: The Sample Mean and Control Charts. Roulette and business demonstrate the use of the central limit theorem, control chart monitoring of random variation, creation of x-bar charts, and definitions of control limits.

19: Confidence Intervals. Explains the confidence interval using population surveys to show how margin of error and confidence levels are interpreted.

20: Significance Tests. A hiring discrimination case illustrates the basic reasoning behind tests of significance.

21: Inference for One Mean. Study inference about the mean of a single distribution, with an emphasis on paired samples and the t confidence interval and test.

22: Comparing Two Means. Learn to recognize a two-sample problem and to distinguish it from one- and paired-sample situations.

23: Inference for Proportions. See confidence intervals and tests for comparing proportions applied in government estimates on unemployment.

24: Inference for Two-Way Tables. The chi-square test and the relationship between two categorical variables are covered.

25: Inference for Relationships. Understand inference for simple linear regression, emphasizing slope, and prediction.

26: Case Study. See planning data collection, collecting and picturing data, drawing inferences, and evaluating conclusions.

Moore, D.S. (1993). Telecourse study guide for Against all odds: Workbook Icon Inside statistics and introduction to the practice of statistics (2nd ed.). New York: W.H. Freeman.

Aliaga, M., & Gunderson, B. (1998). Interactive statistics: Preliminary edition. Open Book Icon Upper Saddle River, NJ: Prentice Hall.

Aliaga, M., & Gunderson, B. (1998). Interactive statistics. Prentice Hall; Upper Open Book Icon Saddle River, NJ.

Brase, C.H., & Brase, C.P. (1995). Understandable statistics: concepts and Open Book Icon methods (5th ed.). Lexington, MA: D.C. Heath.

Farber, E. (1995). Study and solutions guide for Brase/Brase Workbook Icon Understandable statistics (5th ed.). Lexington, MA: D.C. Heath. 


Brase, C.H., & Brase, C.P. (1995). Technology guide to accompany Workbook Icon Understandable statistics (5th ed.) Lexington, MA: D.C. Heath
Exercises using TI-82 graphics calculator and MINITAB.

ConStatS:  Software for Conceptualizing Statistics (Prentice-Hall, 1997, 3.5" disks + manual).
Computer Icon Designed to be used as a supplement in one-semester statistics courses, ConStatS requires only high school algebra as background.  The program includes four units on representing data, two on probability, three on sampling, two on the elements of statistical inference, and one on conducting experiments. 

Freund, J.E., & Simon, G. A. (1997). Modern elementary statistics (9th ed.). Open Book Icon Upper Saddle River, NJ: Prentice Hall.

Hanke, J. E., & Reitsch, A. G. (1994). Understanding business statistics (2nd Open Book Icon ed., instructor's edition).  Burr Ridge, IL: Irwin.

Hartman, W., & Van Ness, P.D. (1994). Study guide for use with Workbook Icon Hanke & Reitsch Understanding business statistics (2nd ed.). Burr Ridge, IL: Irwin.

Kazmier, L.J. (1988). Theory and problems of business statistics with computer Open Book Icon applications (2nd ed., Schaum's Outline Series).  New York: McGraw-Hill.

Khazanie, R. (1990). Elementary statistics in a world of applications (3rd ed.). Open Book Icon New York: HarperCollins.

Mason, R.D., & Lind, D.A. (1996). Statistical techniques in business and Open Book Icon economics (9th ed.). Chicago: Irwin.

Mason, R.D., & Lind, D.A. (1996). Study guide for use with Mason Workbook Icon & Lind's Statistical techniques in business and economics (9th ed.). Chicago: Irwin.

McClave, J.T., & Sincich, T. (1997). A first course in statistics (6th ed.). Upper Open Book Icon Saddle River, NJ: Prentice Hall.

Shafer, N.J. (1989). Solutions manual for McClave & Dietrich, A Workbook Icon first course in statistics (3rd ed.). San Francisco: Dellen.


McClave, J.T., Dietrich, F.H., & Sincich, T. (1997). Statistics (7th ed.). Upper Open Book Icon Saddle River, NJ: Prentice Hall.

Moore, D.S. (1992). Statistics: Decision through data video applications Open Book Iconlibrary.  Lexington, MA; COMAP.

Moore, D. S. (1997). The active practice of statistics: A text for multimedia Open Book Icon learning. New York: W.H. Freeman.  (Text for use with ActivStats CD-ROM.)

Moore, D. S. (2000). The basic practice of statistics (2nd ed.). New York: W. H. Open Book Icon Freeman. 

Moore, D. S., & McCabe, G. P. (1993). Introduction to the practice of statistics Open Book Icon(2nd ed.). New York: W. H. Freeman.

Moore, D.S. & McCabe, G.P. (1999). Introduction to the practice of statistics Open Book Icon (3rd ed.) New York: W. H. Freeman.  

Rossman, A.J. (1996). Workshop statistics: Discovery with data. New York: Open Book Icon Spring-Verlag. 

Spiegel, M. R. (1988). Theory and problems of statistics (2nd ed., Schaum's Open Book IconOutline Series). New York: McGraw-Hill.

Statistics, Unit I:  Descriptive Statistics and Probability Distributions (Educulture, 1979, audiocassettes + workbooks)

Tape IconWorkbook Icon The Statistics series is written especially for students who require a knowledge of statistics but do not have a strong background or 
ability in mathematics.  Abstraction and symbolism are kept to a minimum, yet the series is not a "cookbook" course.  All concepts, generalizations, rules, and processes are well-motivated and well-illustrated.  Teaching is done inductively and in the context of ongoing problem-solving.  Modular tests and scoring keys are provided.
                   1. Intro to frequency distributions and graphs
                         2. Special frequency distributions and frequency polygons
                         3. Measures of central tendency
                         4. Measures of variability
                         5. Basic probability
                         6. The binomial distribution
                         7. The normal distribution

Statistics, Unit II:  Inferential Statistics  (Educulture, 1979, audiocassettes + workbooks)

Tape IconWorkbook Icon The Statistics series is written especially for students who require a knowledge of statistics but do not have a strong background or 
ability in mathematics.  Abstraction and symbolism are kept to a minimum, yet the series is not a "cookbook" course.  All concepts, generalizations, rules, and processes are well-motivated and well-illustrated.  Teaching is done inductively and in the context of ongoing problem-solving.  Modular tests and scoring keys are provided.
                  8. Sampling and sample statistics
                        9. Hypothesis testing
                       10. Estimation of population parameters
                       11. The t distribution
                       12. Linear correlation
                       13. Linear regression

Statistics: Decisions Through Data (COMAP, 1992, 60 min.videos + workbooks)

VHS Tape IconWorkbook Icon This video series is an introductory statistics course which unravels the statistical arguments behind surveys, polls, experiments, and 
product claims. Each episode begins with a documentary segment that engages students' interest, and then teaches skills to gather data, analyze patterns, and draw conclusions about real-world issues.
Hour 1:  Basic Data Analysis
     Unit 1. What is Statistics?
     Unit 2. Stemplots.
     Unit 3. Histograms and Distributions.
     Unit 4. Measures of Center
     Unit 5. Boxplots
     Unit 6. The Standard Deviation
Hour 2:  Data Analysis for One Variable
     Unit 7. Normal Curves
     Unit 8. Normal Calculations
     Unit 9. Straight-Line Growth
     Unit 10. Exponential Growth
Hour 3:  Data Analysis for Two Variables
     Unit 11. Scatterplots
     Unit 12. Fitting Lines to Data
     Unit 13. Correlation
     Unit 14. Save the Bay
Hour 4:  Planning Data Collection
     Unit 15. Designing Experiments
     Unit 16. The Question of Causation
     Unit 17. Census and Sampling
     Unit 18. Sample Surveys
Hour 5: Introduction to Inference
     Unit 19. Sampling Distributions
     Unit 20. Confidence Intervals
     Unit 21. Tests of Significance

Understanding Business Statistics (Irwin, 1994, videos)
VHS Tape Icon This 5-video lecture series, given by Dr. Arthur Reitsch, Professor of Decision Science well known for his work in business forecasting, is designed to supplement the first 10 chapters of the textbook by Hanke & Reitsch.  These lectures are intended to help students become better decision-makers and better managers.

Technical Mathematics

Austin, J.C., Gill, J.C., & Isern, M. (1988). Technical mathematics (4th ed.) Philadelphia: Saunders. 
Open Book Icon Includes an assortment of applied math topics, including: applied geometry, basic algebraic operations, linear equations, factoring, exponents and scientific notation, roots and radicals, quadratic equations, logarithms, and trigonometry.

Calter, P. (1979). Theory and problems of technical mathematics (Schaum's Open Book Icon Outline Series). New York: McGraw-Hill.

Davis, L. (1990). Technical mathematics. Columbus, OH: Merrill.
Open Book Icon

Davis, L. (1990). Study guide to accompany Technical Workbook IconMathematics. Columbus, OH:  Merrill.


Dossey, J.A., Otto, A.D., Spence, L.E., & Vanden Eynden, C. (1993). Discrete Open Book Icon mathematics (2nd. ed.). New York: HarperCollins.

Trigonometry

Ayres, F., Jr., & Moyer, R.E. (1990). Theory and problems of trigonometry (2nd Open Book Icon ed., Schaum's Outline Series). New York: McGraw-Hill.

Bittinger, M.L.,  Beecher, J.A., Ellenbogen, D., & Penna, J.A. (1998). Open Book IconTrigonometry: Graphs and models. Reading, MA: Addison-Wesley.

Penna, J.A. (1998). Student's solutions manual for Trigonometry: Workbook Icon Graphs and models. Reading, MA: Addison-Wesley.


Penna, J.A. (1998). Graphing calculator manual for Trigonometry: Workbook Icon Graphs and models. Reading, MA: Addison-Wesley.


Mini-Courses in Math: Trigonometry
(Educulture, 1975, audiocassettes + workbooks)

Tape IconWorkbook Icon Each modular lesson uses cassette tapes and a response manual to help students learn or review.  Students listen, read a little, answer 
questions or work exercises, and find out whether they are right or wrong.  
         1. Circular functions
            2. Graphs of circular functions
            3. Identities and proofs
            4. Inverse functions and conditional equations
            5. Right angle trigonometry
            6. The solution of right triangles
            7. Polar coordinates and parametric equations
            8. Vectors
            9. Complex numbers

Trigonometry (GPN, University of Nebraska-Lincoln, 1990, <30 min.videos)
VHS Tape IconAward-winning mathematics instructor Elayn Gay and Dr. Maurice Dupre give students the opportunity to master mathematical skills in this video series which helps seventh-grade through college students review and learn difficult mathematical concepts.
          Angles, degrees, and radians
             Introduction to trigonometric functions
             Trigonometric functions of general angles
             Evaluating trigonometric functions
             Graphing trigonometric functrions I
             Graphing trigonometric functions II
             Trigonometric equations
             Right angle applications

Precalculus

Schmidt, P. (1989). 3000 solved problems in precalculus (Schaum's Solved Open Book Icon Problems Series). New York: McGraw-Hill.

Varberg, D., & Varberg, T.D. (1995). Precalculus: A graphing approach. Open Book Icon Englewood Cliffs, NJ: Prentice Hall.

Varberg, D., & Varberg, T.D. (1995). Instructor's solution manual Workbook Icon for Precalculus: A graphing approach. Englewood Cliffs, NJ: Prentice Hall.

Varberg, D., & Varberg, T.D. (1995). Student solutions manual for Workbook IconPrecalculus: A graphing approach. Englewood Cliffs, NJ: Prentice Hall.

 

Calculus

Anton, H. (1992). Calculus (4th ed.). New York: John Wiley.
Open Book Icon


Barker, W. H., & Ward, J. E. (1992). The calculus companion to Workbook Icon accompany Anton's Calculus with analytic geometry (4th ed., Vol. 1). New York: John Wiley.

Barker, W. H., & Ward, J. E. (1995). The calculus companion to Workbook Icon accompany Anton's Calculus with analytic geometry (5th ed.). New York: John Wiley.

Herr, A. (1992). Student's solutions manual to accompany Anton's Workbook Icon Calculus with analytic geometry (4th ed.). New York:  John Wiley.


Bradley, G.L., & Smith, K.J. (1995). Calculus (Instructor's Edition). Englewood Open Book Icon Cliffs, NJ: Prentice Hall.

Smith, K.J. (1995). Student mathematics handbook and integral Workbook Icon table for Bradley & Smith's Calculus. Englewood Cliffs, NJ: Prentice Hall.


Calculus
(GPN, University of Nebraska-Lincoln, 1990, <30 min.videos)
VHS Tape IconAward-winning mathematics instructor Elayn Gay and Dr. Maurice Dupre give students the opportunity to master mathematical skills in this video series which helps seventh-grade through college students review and learn difficult mathematical concepts.
           Limits of Continuity
                        1. Definition of limit (16 min.)
                        2. The limit theorem (14 min.)
                        3. Limits at infinity (13 min.)
                        4. Continuity (16 min.)
              The Derivatives
                        5. The tangent problem (12 min.)
                        6. The derivative (13 min.)
                        8. Product and quotient rules for derivatives (17 min.)
                        9. The chain rule for derivatives (18 min.)
             Applications of Derivatives
                       13. Derivatives and curve sketching (20 min.)
                       14. Maximum-minimum problems (24 min.)
             The Integral
                       17. Implicit differentiation (14 min.)
                       20. Velocity, acceleration, related rates (17 min.)
                       21. Antiderivatives (20 min.)
                       22. The indefinite integral (26 min.)
                       23. The area problem (21 min.)
                       24. Definite integrals and areas (18 min.)

Carpenter, L.L. (1997). Instructor's guide with complete answer key to Open Book Icon accompany Calculus concepts: An informal approach to the mathematics of change (preliminary ed.). Lexington, MA: D.C. Heath.

CD Calculus for Windows (Wiley, 1994, CD-ROM)
Computer Icon The CD is a complete textbook and a wealth of additional learning material.  The electronic study environment lets the student design and create her own custom study system.

Connally, E. Hughes-Hallett, D., Gleason, A. M. et al. (2000). Functions modeling Open Book Icon change: A preparation for calculus.  New York: John Wiley.

Dowling, E.T. (1990). Theory and problems of calculus for business, economics, Open Book Icon and the social sciences (Schaum's Outline Series).  New York: McGraw-Hill.

Hughes-Hallett, D., & Gleason, A.M., et al. (1994). Calculus. New York: Wiley.
Open Book Icon


Ching, K., Connally, E., Mallozi, S. A., Mitzenmacher, M., & Wang, A. Workbook Icon H.  (1994). Student solutions manual to accompany Hughes-Hallett, D., & Gleason, A.M., Calculus. New York: John Wiley.

LaTorre, D.R., Kenelly, J.W., Fetta, I.B., Harris, C.R., & Carpenter, L.L. (1995). Open Book IconCalculus concepts: An informal approach to the mathematics of change (preliminary ed.). Boston: Houghton Mifflin.

LaTorre, D.R., Kenelly, J.W., Fetta, I.B., Carpenter, L.L., & Harris, C.R. (1998). Open Book IconCalculus concepts: An informal approach to the mathematics of change (brief 1st ed.). Boston: Houghton Mifflin.

Lial, M.L., & Miller, C.D. (1989). Calculus with applications (4th ed.). Glenview, Open Book Icon IL: Scott, Foresman.

Lial, M.L. (1993). Student's solution manual to accompany Workbook Icon Calculus with applications (5th ed.) New York: HarperCollins.


Lial, M.L. (1993). Instructor's answer manual to accompany Workbook Icon Calculus with applications (5th ed.) New York: HarperCollins.


Lial, M.L. (1993). Instructor's guide and solutions manual to Workbook Icon accompany Calculus with applications (5th ed.) New York: HarperCollins.


Mazur, J. (1994). How to study calculus. Dubuque, IA: Wm. C. Brown.
Open Book Icon


Mendelson, E. (1985). Theory and problems of beginning calculus (Schaum's Open Book Icon Outline Series).  New York: McGraw-Hill.

Mendelson, E. (1988). 3000 solved problems in calculus (Schaum's Solved Open Book Icon Problems Series). New York: McGraw-Hill.

Stewart, J. (1998). Calculus: Concepts and contexts. Pacific Grove, CA: Brooks/Cole.
Open Book Icon


Stewart, J. (2001). Calculus: Concepts and contexts (2nd ed.) Pacific Grove, CA: Open Book Icon Brooks/Cole.

Burton, R., & Garity, D. (2001). Study guide for Stewart's Single Workbook Icon Variable Calculus: Concepts and contexts (2nd ed.). Pacific Grove, CA: Brooks/Cole. 

Cole, J.A. (1998). Student solutions manual for Stewart's Workbook Icon Calculus: Concepts and contexts. Pacific Grove, CA:  Brooks/Cole.


Clegg, D. (1998). Student solutions manual for Stewart's Workbook Icon multivariable Calculus: Concepts and contexts.  Pacific Grove, CA: Brooks/Cole.

Integrated Content

Britton, J.R., & Bello, I. (1989). Topics in contemporary mathematics (4th ed.). San Francisco: Dellen.
Open Book Icon Topics covered include: sets; logic; numeration systems; rational numbers; the metric system; equations, inequalities, and problem solving; functions and graphs; geometry; matrices; probability and statistics; and consumer math.

For All Practical Purposes (Annenberg/CPB, 1987, 30 min.videos)
VHS Tape Icon Real-life examples help teach a basic understanding of mathematics and its relationship to other areas of study. Mathematical problem solving is shown to influence everything from the success of savvy entrepreneurs to the fairness of voting practices. Examples are pulled from management science, social science, design, and computer science. The modular construction of the series is useful across the curriculum.

1: Overview. Examines how management science concepts help our society run more efficiently.

2: Street Smarts. Cities and towns can make best use of their limited resources by graphing an "Euler circuit" to find the most efficient routes.

3: Trains, Planes and Critical Paths. Various algorithms introduced can aid in solving complex routing problems.

4: Juggling Machines. List processing algorithms and bin-packing, or how to use the least space to accommodate the most objects, are discussed.

5: Juicy Problems. Linear programming techniques such as the corner principle, the simplex method, and the Karmarkar algorithms are covered.

6: Overview. This program explains how to understand what data is and how it is collected, organized, and analyzed.

7: Behind the Headlines. Statisticians demonstrate the use of random sampling methods and randomized comparative experiments.

8: Picture This. Graphs, histograms, and box plots reveal changes and patterns that help define mean, median, quartile, and outlier.

9: Place Your Bets. Techniques of sampling distributions, normal curves, standard deviations, expected value, and the central limit theorem are examined.

10: Confident Conclusions. Explains statistical inference and how it is based on calculations of probability.

11: Overview. Mathematics makes our decisions quantifiable in areas as diverse as game theory and social choices.

12: The Impossible Dream. Not all voting methods are fair, as seen by looking at five different methods.

13: More Equal than Others. Mathematics and statistics are key to issues of weighted voting and winning coalitions.

14: Zero Sum Games. Game theory offers strategies to resolve disputes, and zero sum games and game matrices provide mathematical solutions to real problems.

15: Prisoner's Dilemma. The games of "chicken" and "prisoner's dilemma" illustrate issues in corporate takeovers and labor relations.

16: Overview. This program draws upon historical examples of geometric applications.

17: How Big Is Too Big. Geometric similarity and scale help mathematically balance the tensile strength of the materials with the size of the structure.

18: It Grows and Grows. How population grows mathematically and the importance of calculating growth.

19: Stand up Conic. The use and importance of conic sections in the design of twentieth-century inventions.

20: It Started in Greece. The mathematical tool of Euclidean geometry explains the congruence of triangles, the Pythagorean theorem, and similarity.

21: Overview. The history of the computer points out the relationship and interdependence between mathematics and computers.

22: Rules of the Game. Computer users must understand algorithms to analyze, choose, and apply the best type for a given problem.

23: Counting by Twos. Computers store, process, and reproduce information via codes.

24: Creating a Code. Encoding information for a computer requires the best and most efficient code.

25: Moving Picture Show. Visit Symbolics, Inc., to let the experts explain computer graphics.

26: Summing Up. Emphasizes the real-world applications of mathematics in today's society and the mathematical models that can be built from them.

For all practical purposes: Introduction to contemporary mathematics (2nd ed.).(1991). New York: W.H. Freeman.
Open Book Icon The text correlated with the Annenberg/CPT video series, this book addresses topics in management science (street networks, linear programming, planning and scheduling, and vertices), statistics, social choice and decision-making, population growth, patterns, and computer codes.

Savage, S.H. (1991). Instructor's guide to accompany For all Workbook Icon practical purposes: Introduction to contemporary mathematics (2nd ed.). New York: W.H. Freeman.

Learning Plus (Educational Testing Service, 1995?, 3.5" disks)
Computer Icon Originally developed to insure preparation for the Praxis I teacher education test, Learning Plus is designed to confirm (or remediate) skills in reading, writing, and mathematics.  The software may be installed on a student's notebook computer for a fee.  Individuals who would like access to Learning Plus should contact Sharon Stufflebean, Coordinator of Assessment Services, at 770/961-3445 or . 

Lerner, M. (1996). Math smart: Essential math for these numeric times (Princeton Review Series).  New York: Random House.
Open Book Icon Topics include: numbers, fractions, ratios and proportions, exponents and roots, algebra, geometry, and statistics.

Miller, C.D., Heeren, V.E., & Hornsby, E.J. (1997). Mathematical ideas (8th ed.). Reading, MA: Addison Wesley.
Open Book Icon Topics include: sets; logic; number theory; basic concepts of algebra; functions and graphs; counting methods; probability and statistics; consumer math; and matrices.

Miller, C.D., Heeren, V.E., & Hornsby, E.J. (1997). Study guide and Workbook Icon solutions manual for Mathematical ideas (8th ed.). Reading, MA: Addison Wesley.

Research and Education Association. (1976). Algebra & trigonometry: A complete Open Book Icon solution guide to any textbook (REA's problem solvers series). Picataway, NJ: REA.

Mathematics for Modern Living (Magna Systems, 1980, ~30 min.videos + workbooks)

VHS Tape IconWorkbook Icon The video course has minimal prerequisites and can be used by adult learning centers, community colleges, and other educational 
facilities. The course covers a variety of topics relevant to society.  Modules are designed to be stand-alone so that students can study only selected topics or can work through the entire series. Study guides include pretests, post-tests, activities to be completed after viewing a video, and a glossary.
1. Lead module

 
 

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Locations of Instructional Materials

Instructional Materials: Math

Students often find it helpful to review mathematical concepts repeatedly or from multiple points of view.  The Center for Learning Enhancement has a variety of materials presenting concepts in various ways by different instructors. If one resource isn't particularly helpful, alternatives are almost always available.  To locate a math resource which is stored on the Center's open shelves, go to .  To get access to CDs and other  instructional software, see a CLE staff member.


Arem, C. (1993). Conquering math anxiety: A self-help workbook.  Pacific Workbook Icon Grove, CA: Brooks/Cole.


Smith, R. M. (1991). Mastering mathematics: How to be a great math student (2nd ed.).  Belmont, CA: Wadsworth.
Open Book Icon Tips on how to adjust your attitude toward math, how to study most effectively, and how to prepare for math tests.  

Studying the Content Areas, Mathematics (H&H Publishing, 1988, 35 min.videos + workbook + audiocassette)

VHS Tape IconTape Icon These materials address basic study skills useful in any math course.  

          1.  Surveying Textbooks (~17 min.)
          2.  Surveying Textbook Chapters (~17 min.)
          3.  Reading and Marking Textbook Chapters (~18 min.)
          4.  Using Maps, Diagrams, Graphs, and Tables  (~18 min.)
          5.  Solving Word Problems (12 min.)
          6.  Taking Tests (19 min.)
          7.  Using the Library (21 min.)

Basic Math

Basic Mathematics (Accelerated Learning Systems, 1987, video)
VHS Tape Designed as a stand-alone telecourse, the ALS series is a carefully sequenced and detailed explanation of basic mathematics.  Diagnostic tests of content mastery are included.  The video cases of the ALS basic math tapes are coded with a pink dot.
1. Addition facts  (45 min.)




Basic Mathematical Skills (PWS/Educational Video Resources, 1994, 25 min.videos) 
VHS Tape Icon This instructional series is helpful to students currently enrolled in a basic mathematical skills course or a pre-algebra mathematics course, or for anyone wanting to review basic mathematical skills. Elayn Martin-Gay from the University of New Orleans teaches a variety of topics common to most basic courses. For a detailed description of each module,
Instructor Picture
        1001. Whole numbers- place value, addition, subtraction, rounding 
           1002. Whole numbers- multiplication order of operation
           1003. Whole numbers- division
           1004. Factors and multiples
           1005. Fractions, equivalent fractions, and mixed numbers
           1006. Fractions- multiplication and division
           1007. Fractions- least common denominators, addition
           1008. Decimals- addition, subtraction, multiplication and rounding
           1009. Decimals- division, converting to fractions
           1010. Percent and applications
           1011. Percent and application II
           1012. Perimeter and area
           1013. Operations with signed numbers
           1014. Solving equations
           1015. Exponents
           1016. More exponents and introduction of radicals
           1017. Estimating
           1018. Applications with fractions
           1019. Ratios and proportions
           1020. Applications of proportions
           1021. Comfortable with percents
           1022. U.S. customary system
           1023. Metric system
           1024. Thinking metric
           1025. Order of operations
           1026. Introduction to variables
           1027. Applications of linear equations

Bobrow, J. (1995). Basic math and pre-algebra (Cliff's Quick Review Series).  Open Book Icon Lincoln, NB: Cliffs Notes.

Brooks, L.D. (1991). Math for workplace success: General business.  Eden Open Book Icon Prairie, MN: Paradigm.

Lerner, J.J., & Zima, P. (1985). Theory and problems of business mathematics Open Book Icon (Schaum's Outline Series). New York: McGraw-Hill.

Rich, B. (1977). Review of elementary mathematics (Schaum's Outline Series). Open Book Icon New York: McGraw-Hill.

Slater, J. (2000). Practical business math procedures (Brief 6th ed.). Boston: Open Book Icon Irwin.


Studying the Content Areas/Mathematics: Solving Word Problems
(H&H Publishing, 1988, 35 min.video) 
VHS Tape Icon Word problems are presented as written text and diagrams as the narrator explains how to work through the logical processes needed to solve them. 

Westbrook, P. (1999). Mathsmart for business: Essentials of managerial Open Book Icon finance (The Princeton Review Series).  New York: Random House.

Wheeler, R.E., & Wheeler, E.R. (1995). Modern mathematics (9th ed.). Pacific vOpen Book Icon Grove, CA: Brooks/Cole. 

Wheeler, R.E., & Wheeler, E.R. (1995). Instructor's manual for Workbook Icon Modern mathematics (9th ed.). Pacific Grove, CA: Brooks/Cole. 


Wood, M.M., & Capell, P. (1995). Developmental mathematics (5th ed.). Open Book Icon Boston: PWS.

Wood, M.M., & Capell, P. (1995). Instructor's manual for Workbook IconDevelopmental mathematics (5th ed.). Boston: PWS.


MathQuest
(PWS, 1995, software)
Computer Icon DOS-based interactive software corresponding to the 5th edition of Developmental Mathematics by Wood & Capell. Feedback is given for correct and incorrect answers.

Developmental Mathematics (College of Charleston, n.d., video series)
VHS Tape Icon Designed to accompany the Wood & Capell text, this set of short videos demonstrates key concepts in Math 0096 and Math 0097. Hope Florence, Director of the Math Lab at the College of Charleston, works through a series of math problems illustrating fundamental math topics.
          Vol. 1: Arithmetic
          Vol. 2: Polynomials
             Vol. 3: Linear equality and inequality
             Vol. 4: Graphs and systems of equations
             Vol. 5: Intermediate algebra

Algebra

Basic Algebra (Accelerated Learning Systems/Learned & Tested, 1987, video series)
VHS Tape Icon Designed as a stand-alone telecourse, the ALS series is a carefully sequenced and detailed explanation of basic algebra.  Diagnostic tests of content mastery are included. The video cases of the ALS algebra tapes are coded with a blue dot.

1. Introduction to integers and rational numbers (60 min.)
Beginning Algebra:  Series II (Dekalb College, 1988, video) 
VHS Tape Icon A videotape series showing faculty teaching the various topics listed below.  Preferred over ALS videos by some people with math anxiety because of the human element included in the instruction.  Less detailed than the ALS video series and no mastery tests are provided.  Content spans Math 0096-Math 0099 courses. The video cases of the Dekalb algebra tapes are coded with a yellow dot. Older versions of the Dekalb tapes are coded with an orange dot.
          1.(558) Reducing, Multiplying, and Dividing Fractions  (14 min.)
          2. (559) Adding and Subtracting Fractions  (14 min.)
          3. (560) Algebraic Symbols  (13 min.)
          4. (561) Introduction to Exponents  (6 min.)
          5. (562) Order of Operations  (10 min.)
          6. (563) Variables:  Evaluating Algebraic Expressions  (7 min.)
          min.)
         35. (592) Dividing Polynomials and Monomials  (12 min.)
         36. (593) The Quotient of Two Polynomials  (19 min.)
         37. (594) Factors and Prime Factored Form  (11 min.)
         38. (595) Greatest Common Factors  (20 min.)
         39. (596) Factoring by Grouping  (15 min.)
         40. (597) Factoring Trinomials:  Part I  (21 min.)
         41. (598) Factoring Trinomials:  Part II (16 min.)
         42. (599) Factoring:  Difference of Two Squares/Perfect Square Trinomials  (14 min.)
         43. (600) Factoring:  Sum and Difference of Cubes  (13 min.)
         44. (601) Steps in Factoring  (14 min.)
         45. (602) Solving Quadratic Equations by Factoring  (16 min.)
         46. (603) Applications of Quadratic Equations  (13 min.)
         47. (604) Reducing Rational Expressions  (16 min.)
         48. (605) Multiplication and Division of Rational Expressions  (23 min.)
         49. (606) Least Common Denominators  (15 min.)
         50. (607) Addition and Subtraction of Rational Expressions  (22 min.)
         51. (608) Complex Fractions  (16 min.)
         52. (609) Equations Involving Rational Expressions  (22 min.)
         53. (610) Ratio and Proportion  (12 min.)
         54. (611) Applications of Rational Expressions:  Part I  (14 min.)
         55. (612) Applications of Rational Expressions:  Part II  (9 min.)
         56. (613) Linear Equations in Two Variables:  Ordered Pairs  (14 min.)
         57. (614) Graphing Ordered Pairs  (13 min.)
         58. (615) Graphing Linear Equations:  Part I  (17 min.)
         59. (616) Graphing Linear Equations:  Part II  (13 min.)

Bobrow, J. (1994). Algebra I (Cliffs Quick Review Series).  Lincoln, NB: Cliffs Open Book Icon Notes.


Johnson, M. (1976). How to solve word problems in algebra: A solved problem Open Book Icon approach.  New York: McGraw-Hill.

The Math Tutor: Algebra Series (Video Tutorial Service, 1998, video)
VHS Tape Icon A five-part video review of algebra for students who want to refresh their understanding of material learned in the past.  Particularly helpful for students who had algebra courses in high school and who are preparing for placement exams.
          Part 1. Algebraic terms and operations (50 min.)
             Part 2. Solving algebraic equations of the first degree and inequalities (60 min.)
             Part 3. Factoring and solving quadratic equations (30 min.)
             Part 4. Solving simultaneous equations and inequalities algebraically and
                         geometrically (30 min.)
             Part 5. Verbal problems and introduction to trigonometry (45 min.)

Mini-Courses in Math:  Algebra Series (Educulture, 1974, audiocassettes + workbook)

Tape IconWorkbook Icon Each modular lesson uses a cassette tape and a response manual to help students learn and review.  The format is to listen, read a little,
answer questions or work exercises, and find out whether the answers are right or wrong. Interaction with the material is required, promoting active learning.
          Module 1. Polynomial arithmetic
             Module 2. Factoring I
             Module 3. Factoring II
             Module 4. Algebraic fractions I
             Module 5. Algebraic fraction II
             Module 6. Exponents and radicals
             Module 7. Linear equations and inequalities in one variable 
             Module 8. Quadratic equations and inequalities in one variable
             Module 9. Functions, relations, and inverses
             Module 10. Graphs and variations
             Module 11. Linear relations
             Module 12. Quadratic relations
             Module 15. Logarithms
             Module 16. Sequences and series
             Module 17. Probability
             Module 19. Field axioms and elementary proof

Kohn, E. (1995). Algebra II (Cliffs Quick Review Series). Lincoln, NB: Cliffs Open Book Icon Notes.


Mayes, R.L., & Lesser, L.M. (1998). ACT in algebra: Applications, concepts, and technology in learning algebra. New York: WCB/McGraw-Hill.
Open Book Icon This text emphasizes expressing and analyzing relationships in real world situations. Readers will critically analyze data, induce patterns, discover relationships, and define modeling functions. The TI-92 graphing calculator and computer algebra systems are used as tools for exploring mathematical concepts and relationships.  

Ross, D.A. (1996). Master math: Algebra. Franklin Lakes, NJ: Career Press.
Open Book Icon

Intermediate Algebra by McKeague 4/e (Harcourt, 2002, 4.5 hour video) 
VHS Tape Icon The core concepts for each of the first seven chapters of Intermediate Algebra: Concepts and Graphs, 4/e, are presented by the author, Charles P. McKeague.  This instructional presentation is divided into 50 problem-solving lessons useful in preparing for class, clarifying homework problems, and reviewing for tests.

Intermediate Algebra by McKeague 4/e (Harcourt, 2002, CD-ROM)
Computer Icon This CD which accompanies the textbook of the same name is a clearly organized set of video lessons by Charles McKeague.  The author systematically works through specific problems correlated with each chapter of the text. 

 

Book Cover
CD-ROM Cover
Intermediate Algebra by McKeague 3/e (Saunders, 1999, videos)
VHS Tape Icon These instructional materials correspond with material included in the McKeague textbook used in Math 0099.  McKeague is currently a full-time writer of college level math textbooks, having written a total of ten math textbooks ranging from basic mathematics through trigonometry. In addition to writing, he teaches at Cuesta College in San Luis Obispo, California
        
1. Basic definitions and properties
            2. Equations and inequalities in one variable
            3. Equations and inequalities in two variables
            4. Rational expressions
            5. Rational exponents and roots
            6. Quadratic equations
            7. Systems of linear equations in two variables
            8. Exponential and logarithmic functions
            9. Sequences and series
           10. Conic sections

 

McKeague Picture  
Intermediate Algebra by McKeague (Saunders, 1994, videos)
VHS Tape Icon These are older instructional materials which roughly correspond with material included in the McKeague textbook used in Math 0099. McKeague is currently a full-time writer of college level math textbooks, having written a total of ten math textbooks ranging from basic mathematics through trigonometry. In addition to writing, he teaches at Cuesta College in San Luis Obispo, California.
         
1. Basic properties and definitions
             2. Linear equations and inequalities in one variable
             3. Exponents and polynomials
             4. Rational expressions
             5. Equations and inequalities in two variables
             6. Rational exponents and roots
             8. Systems of linear equations
             9. Relations, functions, and conic sections
            10-11. Logarithms/Sequences and series

McKeague Picture
Intermediate Algebra: Concepts & Graphs by McKeague (Saunders, 1998, 4 hr. video)
VHS Tape Icon The core concepts for each of the first seven chapters of Intermediate Algebra: Concepts & Graphs, Third Edition, are presented by the author.  This video may be used to prepare for class, to clarify homework problems, or to review for tests.
McKeague Picture


McKeague, C.P. (1998). Intermediate algebra: Concepts and graphs (3rd ed.) Open Book Icon Orlando, FL: Saunders/Harcourt Brace.

Garlow, J. (1998). Student solutions manual to accompany Workbook Icon McKeague's Intermediate algebra: Concepts and graphs (3rd ed.). Orlando, FL: Saunders/Harcourt Brace.

McKeague, C.P. (1998). Instructor's answer manual to accompany Workbook Icon McKeague's Intermediate algebra: Concepts and graphs (3rd ed.). Orlando, FL: Saunders/Harcourt Brace.

Intermediate Algebra by Larson & Hostetler (Heath, 1992, video)
VHS Tape Icon Dana Mosely, the video instructor, has over fifteen years of classroom teaching experience and twelve years of video teaching experience, from junior high school through junior college levels. Dana's teaching style is relaxed and easy to understand. He has a knack for explaining difficult math topics using living room conversation, and in so doing he takes the anxiety out of the most intimidating topics. The video cases are coded with a small red dot on a larger blue dot.          
             1. Introduction to algebra
             2. Linear equations and inequalities
             3. Polynomials and factoring
             4. Rational expressions
             5. Radicals and complex numbers
             6. Quadratic expressions and inequalities
             7. Introduction to analytic geometry
             8. Functions and mathematical models
             9. Systems of equations and inequalities
Math Instructor Picture

Larson, R.E., & Hostetler, R.P. (1992). Intermediate algebra. Lexington, MA: D.C. Open Book Icon Heath.

Vidrine, G.C. (1992). Complete solutions guide to Workbook Icon Larson/Hostetler's Intermediate algebra.  Lexington, MA: D.C. Heath.


Martin-Gaye, K.E. (1997). Intermediate algebra (2nd ed., Annotated Open Book Icon instructor's ed.) Upper Saddle River, NJ: Prentice Hall.

Intermediate Algebra (PWS/Educational Video Series, 1994, 25-30 min.videos)
VHS Tape IconThis series is helpful to students currently enrolled in an intermediate algebra course, reviewing before enrolling in a college algebra course, or for anyone wanting to refresh their intermediate algebra skills.  Elayn Gay-Martin from the University of New Orleans teaches a variety of topics common to most intermediate algebra courses.  Many of the topic titles are the same as for the beginning algebra series, but at a level consistent with intermediate algebra courses.  The video cases are coded with a small green dot on a larger yellow dot.  For a detailed description of each module,         3001. Solving linear equations
           3002. Applications that lead to linear equations
           3003. Solving linear equations
           3004. Solving absolute value equations
           3005. Compound inequalities
           3006. Solving absolute value inequalities
           3007. Exponents
           3008. Addition, subtraction, and multiplication of polynomials
           3009. Greatest common factor and factoring trinomials
           3010. Factoring binomials
           3011. General factoring
           3012. Solving quadratic equations by factoring
           3013. Multiplication and division of rational expressions
           3014. Addition and subtraction of rational expressions
           3015. Complex fractions
           3016. Division of rational expressions
           3017. Equations involving rational expressions
           3018. Applications that lead to equations involving rational expressions
           3019. Rational exponents
           3020. Simplifying radicals
           3021. Addition and subtraction of radical expressions
           3022. Multiplication and division of radical expressions
           3023. Radical equations
           3024. Miscellaneous quadratic equations solved by factoring
           3025. Solving quadratic equations by completing the square
           3026. Solving quadratic equations by the quadratic formula
           3027. Applications that lead to quadratic equations
           3028. Intercepts, distance, midpoint
           3029. Slope and equations of straight lines
           3030. Functions and graphs of linear inequalities
           3031. Simultaneous equations

Instructor Picture

Streeter, J., Hutchison, D., & Hoelzle, L. (1998). Intermediate algebra (3rd ed.). Open Book Icon Boston: WCB/McGraw-Hill.

Wood, M.M., Capell, P., & Hall, J.W. (1982). Intermediate algebra. Boston: Open Book Icon PWS-Kent.

College Algebra (Prentice Hall, 1988, video)
VHS Tape Icon This series of videos is explicitly designed to supplement classroom learning in Math 0099 and Math 1101. Roger Breen is currently a math professor at the Florida Community College at Jacksonville.  The video cases are coded with a reddish dot.
         
1A. Introduction/Uses of interval notation
             1B. Introduction to relations and functions
             2A. Inverse exponential and logarithmic functions
             2B. Graphing rational functions
             3A. Circle, ellipse, hyperbola
             3B. Systems of equations
             4A. Matrices and determinants
             4B. Solving systems of equationa using matrices and determinants
             5A. Introduction to theory of equation
             5B. Sequences and series

Algebra Lessons for the Deaf (Math Learning Center, 1992, video)
VHS Tape Icon Paul Peterson signs selected algebra lectures for deaf students in this video series.
         
            VF-464-3   Solving literal equations
            VF-465-3   Key number factoring of trinomials
            VF-466-3   Addition and subtraction of algebraic fractions
            VF-467-3   Introduction to graphing (Algebra 2B Modules 1, 2, 3)

Aufmann, R.N., & Nation, R.D. (1995). Solutions manual with instructor's Workbook Icon resource manual.  Boston: Houghton Mifflin.


Computer Tutor:  College Algebra and Trigonometry 2/e
(Houghton Mifflin, 1993, DOS 3.5" disks)
Computer Icon These software disks provide exercises with feedback corresponding to topics covered in the Aufmann, Barker, & Nation College Algebra and Trigonometry 2/e textbook.

Barnett, R.A., Ziegler, M.R., & Byleen, K.E. (2000). College algebra: A graphing Open Book Icon approach.  Boston: McGraw-Hill.

Hall, J.W. (1992). College algebra with applications (3rd ed.). Boston: PWS Open Book Icon Publishing.


Interactive Tutorials for Mathematics:  Earth Algebra-College Algebra with Applications to Environmental Issues
(HarperCollins, 1995, 3.5" disks)
Computer Icon These tutorials allow students to review important concepts in mathematics and to practice problem-solving. The use of randomly generated numbers allows students to use the tutorials repeatedly to obtain as much practice as they need.  Full solutions are provided for all problems, and students may print out a record of the work they have done on each section.

Kime, L.A.,& Clark, J. (1998). Explorations in college algebra. New York: Open Book Icon Wiley.

 

College Algebra by Larson & Hostetler 2/e (Heath, 1991, video)
VHS Tape Icon With over fifteen years of classroom teaching experience and twelve years of video teaching experience,  from junior high school through junior college levels. Dana Mosely's teaching style is relaxed and easy to understand. He has a knack for explaining difficult math topics using living room conversation, and in so doing he takes the anxiety out of the most intimidating topics.  These videos roughly correspond with the material covered in Math 0099.  The video cases are coded with a red dot.
         1. Review of fundamental concepts of algebra
            2. Algebraic equations and inequalities
            3. The Cartesian plane and graphs of equations
            4. Functions and graphs
            5. Finding zeroes of polynomial functions
            6. Exponential and logarithmic functions
            7. Systems of equations and inequalities
            8. Matrices and determinants
            9. Sequences, counting principles, and probability
            10. Sections 4.3-4.4
Instructor Picture

Larson, R.E., & Hostetler, R.P. (1989). College algebra (2nd ed.). Lexington, MA: Open Book Icon D.C. Heath.

Larson, R.E., Hostetler, R.P., & Edwards, B.H. (1993). Algebra and trigonometry: Open Book Icon A graphing approach. Lexington, MA: D.C. Heath.

Edwards, B.H., & Zook, D.L. (1993). Study and solutions guide for Workbook Icon Larson, Hostetler, & Edwards' Algebra and trigonometry: A graphing approach. Lexington, MA: D.C. Heath.

Schaufele, C., & Zumoff, N. (1995). Earth algebra: College algebra with Open Book Icon applications to environmental issues. New York: HarperCollins.

Schaufele, C., Zumoff, N., & Straley, T.H. (1995). Instructor's guide Workbook Icon to Earth algebra: College algebra with applications to environmental issues. New York: HarperCollins.

Schmidt, P. (1991). 2500 solved problems in college algebra and trigonometry Open Book Icon (Schaum's Solved Problems Series). New York: McGraw-Hill.

Spiegel, M.R. (1991). Theory and problems of college algebra (Schaum's Open Book Icon Outline Series). New York: McGraw-Hill.

Wells, D., & Schmitt Tilson, L.(1997). College algebra: A view of the world Open Book Icon around us. Upper Saddle River, NJ: Prentice Hall.

Wells, D., & Schmitt, L. (1996). College algebra: A view of the world around us Open Book Icon (preliminary ed.). Upper Saddle River, NJ: Prentice Hall.

College Algebra: In Simplest Terms (Annenberg/CPB, 1991, 30 min.videos)
VHS Tape Icon Series host Sol Garfunkel explains why the algebra branch of mathematics is necessary for solving real-world problems. With this "textbook on film," repeated exposure to concepts and visually oriented presentations improve comprehension. The series includes applications in geometry and calculus instruction.

1: Introduction. Introduces several mathematical themes and emphasizes why algebra is important in today's world.

2: The Language of Algebra. Examines the vocabulary of mathematics, properties of the real number system, and basic axioms and theorems of algebra.

3: Exponents and Radicals. Explores properties and equations of rational numbers and square roots and their applications to positive numbers and the Pythagorean theorem.

4: Factoring Polynomials. Discusses how the distributive property is used to factor common monomial factors, the difference of two squares, trinomials as a product of two binomials, sum and difference of two cubes, and regrouping of terms.

5: Linear Equations. Covers how solutions are obtained, what they mean, and how to check them using one unknown.

6: Complex Numbers. Complex numbers and their use in basic operations and quadratic equations are the focus of this program.

7: Quadratic Equations. Stresses the quadratic formula--how it is used to complete a square, and how it is expressed as the difference or sum of two squares.

8: Inequalities. Develops the basic properties and examines how to solve inequalities using polynomial and rational expressions.

9: Absolute Value. Defines this concept, enabling students to use it in equations and inequalities.

10: Linear Relations. Linear equations are used to develop and give information about two quantities. Their applications to the slope of a line are also shown.

11: Circle and Parabola. Using conic sections, this episode takes a detailed look at circles and parabolas. Terminology and formulas for equations are discussed for each.

12: Ellipse and Hyperbola. Discusses the equations for ellipses and hyperbolas, and demonstrates graphically how to develop the equation from each definition.

13: Functions. Defines a function, develops an equation from real situations, and discusses domain and range. Cryptographic functions--such as Caesar's code--and DNA codes are explored.

14: Composition and Inverse Functions. Graphics are used to introduce composites and inverses of functions as applied to cost and production level.

15: Variation. Many types of variation are covered, including direct, inverse, and joint variation with applications from chemistry, physics, astronomy, and the food industry.

16: Polynomial Functions. How to recognize, graph, and determine all of the intercepts of a polynomial function, as applied to banking, medicine, and energy production.

17: Rational Functions. The properties of rational functions are developed by investigating several graphs to determine the intercepts, symmetry, and asymptotes. Applications demonstrate double time for simple interest, average cost function, and tax rates.

18: Exponential Functions. Covers graphing and developing the equation for an exponential function. Applications include bacteria growth, population growth, and radioactive decay.

19: Logarithmic Functions. Understanding the logarithmic relationship, the use of logarithmic properties, and the handling of a scientific calculator are addressed. How radiocarbon dating and the Richter scale depend on the properties of logarithms is explained.

20: Systems of Equations. Elimination and substitution methods are used to solve problems with systems of studying linear and nonlinear equations. Their applications to supply and demand and to cost and revenue are demonstrated.

21: Systems of Linear Inequalities. This program sets up a problem, finds a solution, develops linear inequalities, graphs these solutions, and forms a region of feasible solutions.

22: Arithmetic Sequences and Series. Uses applications such as linear depreciation and fixed annual raise to develop the basic properties and formulas for arithmetic sequences.

23: Geometric Sequences and Series. Focuses on these concepts and determining the sum of their functions. Calculating the size of retirement savings illustrates their use.

24: Mathematical Induction. This segment exhibits special cases, looks at patterns of numbers that develop, relates the patterns to Pascal's triangle and factorials, and develops the general form of this theorem.

25: Permutations and Combinations. Techniques for counting the number of ways that collections of objects can be arranged, ordered, and combined are demonstrated.

26: Probability. Beginning with games-of-chance, shows how the subject of probability has evolved to include application in such areas as genetics, social science, and medicine.

Lindstrom, P.A. (1992). Study guide for the television course Workbook IconCollege Algebra: In simplest terms. Lexington, MA: COMAP.

Geometry

Coxeter, H.S.M., & Greitzer, S.L. (1967). Geometry revisited.  New York: Open Book Icon Random House/Singer.

Geometry: Right Triangles (Educational Video Resources, 1992, 28 min.video)VHS Tape Icon


The Geometer's Sketchpad
(Key Curriculum Press, 1993, Windows + reference manual).
Computer Icon The student is able to explore geometry through logical abstractions (words) as well as with pictures (graphs).   

The Math Tutor: Geometry Series (Video Tutorial Service, 1998, videos)
VHS Tape Icon Selected topics in geometry, designed for students who want to refresh their understanding of material learned in courses taken in the past.
                Part 1. Introduction to geometric terms, angles, and triangles (35 min.)
                     Part 2. The geometry of parallel lines, geometric figures, the parallelogram, and
                           circles (38 min.)

Statistics

Against All Odds: Inside Statistics (Annenberg/CPB, 1989, 30 min.videos + telecourse study guide)  
VHS Tape Icon With an emphasis on "doing" statistics rather than on passive learning, this series goes on location to help uncover statistical solutions to the puzzles of everyday life. You learn how data collection and manipulation--paired with intelligent judgment and common sense--lead to greater understanding of the world.

1: What is Statistics? Discover how this complex discipline has evolved.

2: Picturing Distributions. Construct stemplots and histograms, and understand the importance of pattern deviation.

3: Describing Distributions. Examine the difference between mean and median and learn of quartiles, box-plots, interquartile range, and standard deviation.

4: Normal Distributions. Shows the progression from histogram to a single normal curve for standard measurement.

5: Normal Calculations. Emission standards and cholesterol studies give examples of normal calculations at work.

6: Time Series. Statistics identify patterns over time, answering questions about stability and change, as seen in the stock market.

7: Models for Growth. Topics include linear growth, least squares, exponential growth, and straightening an exponential growth curve by logic.

8: Describing Relationships. Scatterplots, smoothing scatterplots of response versus explanatory variables by median trace, and least squares regression lines are covered.

9: Correlation. How to derive and interpret the correlation coefficient using the relationship between a baseball player's salary and his home run statistics.

10: Multidimensional Data Analysis. This program recaps the data analysis by showing computing technology at Bell Communications Research.

11: The Question of Causation. The relationship between smoking and lung cancer is examined, and a study of admissions data illustrates Simpson's paradox.

12: Experimental Design. Distinguish between observational studies and experiments, and learn the basic principles of design, including comparison, randomization, and replication.

13: Blocking and Sampling. Understand random sampling and the difference between single-factor and multi-factor experiments.

14: Samples and Surveys. Stratified random sampling is explained. A 1936 Gallup election poll yields information about undercoverage.

15: What Is Probability? Distinguishes between deterministic phenomena and random phenomena.

16: Random Variables. Topics covered include independence, the multiplication rule for independent events, and discrete and continuous random variables.

17: Binomial Distributions. Calculate the mean and standard deviation of binomial distributions, and see a representative example of binomial distribution.

18: The Sample Mean and Control Charts. Roulette and business demonstrate the use of the central limit theorem, control chart monitoring of random variation, creation of x-bar charts, and definitions of control limits.

19: Confidence Intervals. Explains the confidence interval using population surveys to show how margin of error and confidence levels are interpreted.

20: Significance Tests. A hiring discrimination case illustrates the basic reasoning behind tests of significance.

21: Inference for One Mean. Study inference about the mean of a single distribution, with an emphasis on paired samples and the t confidence interval and test.

22: Comparing Two Means. Learn to recognize a two-sample problem and to distinguish it from one- and paired-sample situations.

23: Inference for Proportions. See confidence intervals and tests for comparing proportions applied in government estimates on unemployment.

24: Inference for Two-Way Tables. The chi-square test and the relationship between two categorical variables are covered.

25: Inference for Relationships. Understand inference for simple linear regression, emphasizing slope, and prediction.

26: Case Study. See planning data collection, collecting and picturing data, drawing inferences, and evaluating conclusions.

Moore, D.S. (1993). Telecourse study guide for Against all odds: Workbook Icon Inside statistics and introduction to the practice of statistics (2nd ed.). New York: W.H. Freeman.

Aliaga, M., & Gunderson, B. (1998). Interactive statistics: Preliminary edition. Open Book Icon Upper Saddle River, NJ: Prentice Hall.

Aliaga, M., & Gunderson, B. (1998). Interactive statistics. Prentice Hall; Upper Open Book Icon Saddle River, NJ.

Brase, C.H., & Brase, C.P. (1995). Understandable statistics: concepts and Open Book Icon methods (5th ed.). Lexington, MA: D.C. Heath.

Farber, E. (1995). Study and solutions guide for Brase/Brase Workbook Icon Understandable statistics (5th ed.). Lexington, MA: D.C. Heath. 


Brase, C.H., & Brase, C.P. (1995). Technology guide to accompany Workbook Icon Understandable statistics (5th ed.) Lexington, MA: D.C. Heath
Exercises using TI-82 graphics calculator and MINITAB.

ConStatS:  Software for Conceptualizing Statistics (Prentice-Hall, 1997, 3.5" disks + manual).
Computer Icon Designed to be used as a supplement in one-semester statistics courses, ConStatS requires only high school algebra as background.  The program includes four units on representing data, two on probability, three on sampling, two on the elements of statistical inference, and one on conducting experiments. 

Freund, J.E., & Simon, G. A. (1997). Modern elementary statistics (9th ed.). Open Book Icon Upper Saddle River, NJ: Prentice Hall.

Hanke, J. E., & Reitsch, A. G. (1994). Understanding business statistics (2nd Open Book Icon ed., instructor's edition).  Burr Ridge, IL: Irwin.

Hartman, W., & Van Ness, P.D. (1994). Study guide for use with Workbook Icon Hanke & Reitsch Understanding business statistics (2nd ed.). Burr Ridge, IL: Irwin.

Kazmier, L.J. (1988). Theory and problems of business statistics with computer Open Book Icon applications (2nd ed., Schaum's Outline Series).  New York: McGraw-Hill.

Khazanie, R. (1990). Elementary statistics in a world of applications (3rd ed.). Open Book Icon New York: HarperCollins.

Mason, R.D., & Lind, D.A. (1996). Statistical techniques in business and Open Book Icon economics (9th ed.). Chicago: Irwin.

Mason, R.D., & Lind, D.A. (1996). Study guide for use with Mason Workbook Icon & Lind's Statistical techniques in business and economics (9th ed.). Chicago: Irwin.

McClave, J.T., & Sincich, T. (1997). A first course in statistics (6th ed.). Upper Open Book Icon Saddle River, NJ: Prentice Hall.

Shafer, N.J. (1989). Solutions manual for McClave & Dietrich, A Workbook Icon first course in statistics (3rd ed.). San Francisco: Dellen.


McClave, J.T., Dietrich, F.H., & Sincich, T. (1997). Statistics (7th ed.). Upper Open Book Icon Saddle River, NJ: Prentice Hall.

Moore, D.S. (1992). Statistics: Decision through data video applications Open Book Iconlibrary.  Lexington, MA; COMAP.

Moore, D. S. (1997). The active practice of statistics: A text for multimedia Open Book Icon learning. New York: W.H. Freeman.  (Text for use with ActivStats CD-ROM.)

Moore, D. S. (2000). The basic practice of statistics (2nd ed.). New York: W. H. Open Book Icon Freeman. 

Moore, D. S., & McCabe, G. P. (1993). Introduction to the practice of statistics Open Book Icon(2nd ed.). New York: W. H. Freeman.

Moore, D.S. & McCabe, G.P. (1999). Introduction to the practice of statistics Open Book Icon (3rd ed.) New York: W. H. Freeman.  

Rossman, A.J. (1996). Workshop statistics: Discovery with data. New York: Open Book Icon Spring-Verlag. 

Spiegel, M. R. (1988). Theory and problems of statistics (2nd ed., Schaum's Open Book IconOutline Series). New York: McGraw-Hill.

Statistics, Unit I:  Descriptive Statistics and Probability Distributions (Educulture, 1979, audiocassettes + workbooks)

Tape IconWorkbook Icon The Statistics series is written especially for students who require a knowledge of statistics but do not have a strong background or 
ability in mathematics.  Abstraction and symbolism are kept to a minimum, yet the series is not a "cookbook" course.  All concepts, generalizations, rules, and processes are well-motivated and well-illustrated.  Teaching is done inductively and in the context of ongoing problem-solving.  Modular tests and scoring keys are provided.
                   1. Intro to frequency distributions and graphs
                         2. Special frequency distributions and frequency polygons
                         3. Measures of central tendency
                         4. Measures of variability
                         5. Basic probability
                         6. The binomial distribution
                         7. The normal distribution

Statistics, Unit II:  Inferential Statistics  (Educulture, 1979, audiocassettes + workbooks)

Tape IconWorkbook Icon The Statistics series is written especially for students who require a knowledge of statistics but do not have a strong background or 
ability in mathematics.  Abstraction and symbolism are kept to a minimum, yet the series is not a "cookbook" course.  All concepts, generalizations, rules, and processes are well-motivated and well-illustrated.  Teaching is done inductively and in the context of ongoing problem-solving.  Modular tests and scoring keys are provided.
                  8. Sampling and sample statistics
                        9. Hypothesis testing
                       10. Estimation of population parameters
                       11. The t distribution
                       12. Linear correlation
                       13. Linear regression

Statistics: Decisions Through Data (COMAP, 1992, 60 min.videos + workbooks)

VHS Tape IconWorkbook Icon This video series is an introductory statistics course which unravels the statistical arguments behind surveys, polls, experiments, and 
product claims. Each episode begins with a documentary segment that engages students' interest, and then teaches skills to gather data, analyze patterns, and draw conclusions about real-world issues.
Hour 1:  Basic Data Analysis
     Unit 1. What is Statistics?
     Unit 2. Stemplots.
     Unit 3. Histograms and Distributions.
     Unit 4. Measures of Center
     Unit 5. Boxplots
     Unit 6. The Standard Deviation
Hour 2:  Data Analysis for One Variable
     Unit 7. Normal Curves
     Unit 8. Normal Calculations
     Unit 9. Straight-Line Growth
     Unit 10. Exponential Growth
Hour 3:  Data Analysis for Two Variables
     Unit 11. Scatterplots
     Unit 12. Fitting Lines to Data
     Unit 13. Correlation
     Unit 14. Save the Bay
Hour 4:  Planning Data Collection
     Unit 15. Designing Experiments
     Unit 16. The Question of Causation
     Unit 17. Census and Sampling
     Unit 18. Sample Surveys
Hour 5: Introduction to Inference
     Unit 19. Sampling Distributions
     Unit 20. Confidence Intervals
     Unit 21. Tests of Significance

Understanding Business Statistics (Irwin, 1994, videos)
VHS Tape Icon This 5-video lecture series, given by Dr. Arthur Reitsch, Professor of Decision Science well known for his work in business forecasting, is designed to supplement the first 10 chapters of the textbook by Hanke & Reitsch.  These lectures are intended to help students become better decision-makers and better managers.

Technical Mathematics

Austin, J.C., Gill, J.C., & Isern, M. (1988). Technical mathematics (4th ed.) Philadelphia: Saunders. 
Open Book Icon Includes an assortment of applied math topics, including: applied geometry, basic algebraic operations, linear equations, factoring, exponents and scientific notation, roots and radicals, quadratic equations, logarithms, and trigonometry.

Calter, P. (1979). Theory and problems of technical mathematics (Schaum's Open Book Icon Outline Series). New York: McGraw-Hill.

Davis, L. (1990). Technical mathematics. Columbus, OH: Merrill.
Open Book Icon

Davis, L. (1990). Study guide to accompany Technical Workbook IconMathematics. Columbus, OH:  Merrill.


Dossey, J.A., Otto, A.D., Spence, L.E., & Vanden Eynden, C. (1993). Discrete Open Book Icon mathematics (2nd. ed.). New York: HarperCollins.

Trigonometry

Ayres, F., Jr., & Moyer, R.E. (1990). Theory and problems of trigonometry (2nd Open Book Icon ed., Schaum's Outline Series). New York: McGraw-Hill.

Bittinger, M.L.,  Beecher, J.A., Ellenbogen, D., & Penna, J.A. (1998). Open Book IconTrigonometry: Graphs and models. Reading, MA: Addison-Wesley.

Penna, J.A. (1998). Student's solutions manual for Trigonometry: Workbook Icon Graphs and models. Reading, MA: Addison-Wesley.


Penna, J.A. (1998). Graphing calculator manual for Trigonometry: Workbook Icon Graphs and models. Reading, MA: Addison-Wesley.


Mini-Courses in Math: Trigonometry
(Educulture, 1975, audiocassettes + workbooks)

Tape IconWorkbook Icon Each modular lesson uses cassette tapes and a response manual to help students learn or review.  Students listen, read a little, answer 
questions or work exercises, and find out whether they are right or wrong.  
         1. Circular functions
            2. Graphs of circular functions
            3. Identities and proofs
            4. Inverse functions and conditional equations
            5. Right angle trigonometry
            6. The solution of right triangles
            7. Polar coordinates and parametric equations
            8. Vectors
            9. Complex numbers

Trigonometry (GPN, University of Nebraska-Lincoln, 1990, <30 min.videos)
VHS Tape IconAward-winning mathematics instructor Elayn Gay and Dr. Maurice Dupre give students the opportunity to master mathematical skills in this video series which helps seventh-grade through college students review and learn difficult mathematical concepts.
          Angles, degrees, and radians
             Introduction to trigonometric functions
             Trigonometric functions of general angles
             Evaluating trigonometric functions
             Graphing trigonometric functrions I
             Graphing trigonometric functions II
             Trigonometric equations
             Right angle applications

Precalculus

Schmidt, P. (1989). 3000 solved problems in precalculus (Schaum's Solved Open Book Icon Problems Series). New York: McGraw-Hill.

Varberg, D., & Varberg, T.D. (1995). Precalculus: A graphing approach. Open Book Icon Englewood Cliffs, NJ: Prentice Hall.

Varberg, D., & Varberg, T.D. (1995). Instructor's solution manual Workbook Icon for Precalculus: A graphing approach. Englewood Cliffs, NJ: Prentice Hall.

Varberg, D., & Varberg, T.D. (1995). Student solutions manual for Workbook IconPrecalculus: A graphing approach. Englewood Cliffs, NJ: Prentice Hall.

 

Calculus

Anton, H. (1992). Calculus (4th ed.). New York: John Wiley.
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Barker, W. H., & Ward, J. E. (1992). The calculus companion to Workbook Icon accompany Anton's Calculus with analytic geometry (4th ed., Vol. 1). New York: John Wiley.

Barker, W. H., & Ward, J. E. (1995). The calculus companion to Workbook Icon accompany Anton's Calculus with analytic geometry (5th ed.). New York: John Wiley.

Herr, A. (1992). Student's solutions manual to accompany Anton's Workbook Icon Calculus with analytic geometry (4th ed.). New York:  John Wiley.


Bradley, G.L., & Smith, K.J. (1995). Calculus (Instructor's Edition). Englewood Open Book Icon Cliffs, NJ: Prentice Hall.

Smith, K.J. (1995). Student mathematics handbook and integral Workbook Icon table for Bradley & Smith's Calculus. Englewood Cliffs, NJ: Prentice Hall.


Calculus
(GPN, University of Nebraska-Lincoln, 1990, <30 min.videos)
VHS Tape IconAward-winning mathematics instructor Elayn Gay and Dr. Maurice Dupre give students the opportunity to master mathematical skills in this video series which helps seventh-grade through college students review and learn difficult mathematical concepts.
           Limits of Continuity
                        1. Definition of limit (16 min.)
                        2. The limit theorem (14 min.)
                        3. Limits at infinity (13 min.)
                        4. Continuity (16 min.)
              The Derivatives
                        5. The tangent problem (12 min.)
                        6. The derivative (13 min.)
                        8. Product and quotient rules for derivatives (17 min.)
                        9. The chain rule for derivatives (18 min.)
             Applications of Derivatives
                       13. Derivatives and curve sketching (20 min.)
                       14. Maximum-minimum problems (24 min.)
             The Integral
                       17. Implicit differentiation (14 min.)
                       20. Velocity, acceleration, related rates (17 min.)
                       21. Antiderivatives (20 min.)
                       22. The indefinite integral (26 min.)
                       23. The area problem (21 min.)
                       24. Definite integrals and areas (18 min.)

Carpenter, L.L. (1997). Instructor's guide with complete answer key to Open Book Icon accompany Calculus concepts: An informal approach to the mathematics of change (preliminary ed.). Lexington, MA: D.C. Heath.

CD Calculus for Windows (Wiley, 1994, CD-ROM)
Computer Icon The CD is a complete textbook and a wealth of additional learning material.  The electronic study environment lets the student design and create her own custom study system.

Connally, E. Hughes-Hallett, D., Gleason, A. M. et al. (2000). Functions modeling Open Book Icon change: A preparation for calculus.  New York: John Wiley.

Dowling, E.T. (1990). Theory and problems of calculus for business, economics, Open Book Icon and the social sciences (Schaum's Outline Series).  New York: McGraw-Hill.

Hughes-Hallett, D., & Gleason, A.M., et al. (1994). Calculus. New York: Wiley.
Open Book Icon


Ching, K., Connally, E., Mallozi, S. A., Mitzenmacher, M., & Wang, A. Workbook Icon H.  (1994). Student solutions manual to accompany Hughes-Hallett, D., & Gleason, A.M., Calculus. New York: John Wiley.

LaTorre, D.R., Kenelly, J.W., Fetta, I.B., Harris, C.R., & Carpenter, L.L. (1995). Open Book IconCalculus concepts: An informal approach to the mathematics of change (preliminary ed.). Boston: Houghton Mifflin.

LaTorre, D.R., Kenelly, J.W., Fetta, I.B., Carpenter, L.L., & Harris, C.R. (1998). Open Book IconCalculus concepts: An informal approach to the mathematics of change (brief 1st ed.). Boston: Houghton Mifflin.

Lial, M.L., & Miller, C.D. (1989). Calculus with applications (4th ed.). Glenview, Open Book Icon IL: Scott, Foresman.

Lial, M.L. (1993). Student's solution manual to accompany Workbook Icon Calculus with applications (5th ed.) New York: HarperCollins.


Lial, M.L. (1993). Instructor's answer manual to accompany Workbook Icon Calculus with applications (5th ed.) New York: HarperCollins.


Lial, M.L. (1993). Instructor's guide and solutions manual to Workbook Icon accompany Calculus with applications (5th ed.) New York: HarperCollins.


Mazur, J. (1994). How to study calculus. Dubuque, IA: Wm. C. Brown.
Open Book Icon


Mendelson, E. (1985). Theory and problems of beginning calculus (Schaum's Open Book Icon Outline Series).  New York: McGraw-Hill.

Mendelson, E. (1988). 3000 solved problems in calculus (Schaum's Solved Open Book Icon Problems Series). New York: McGraw-Hill.

Stewart, J. (1998). Calculus: Concepts and contexts. Pacific Grove, CA: Brooks/Cole.
Open Book Icon


Stewart, J. (2001). Calculus: Concepts and contexts (2nd ed.) Pacific Grove, CA: Open Book Icon Brooks/Cole.

Burton, R., & Garity, D. (2001). Study guide for Stewart's Single Workbook Icon Variable Calculus: Concepts and contexts (2nd ed.). Pacific Grove, CA: Brooks/Cole. 

Cole, J.A. (1998). Student solutions manual for Stewart's Workbook Icon Calculus: Concepts and contexts. Pacific Grove, CA:  Brooks/Cole.


Clegg, D. (1998). Student solutions manual for Stewart's Workbook Icon multivariable Calculus: Concepts and contexts.  Pacific Grove, CA: Brooks/Cole.

Integrated Content

Britton, J.R., & Bello, I. (1989). Topics in contemporary mathematics (4th ed.). San Francisco: Dellen.
Open Book Icon Topics covered include: sets; logic; numeration systems; rational numbers; the metric system; equations, inequalities, and problem solving; functions and graphs; geometry; matrices; probability and statistics; and consumer math.

For All Practical Purposes (Annenberg/CPB, 1987, 30 min.videos)
VHS Tape Icon Real-life examples help teach a basic understanding of mathematics and its relationship to other areas of study. Mathematical problem solving is shown to influence everything from the success of savvy entrepreneurs to the fairness of voting practices. Examples are pulled from management science, social science, design, and computer science. The modular construction of the series is useful across the curriculum.

1: Overview. Examines how management science concepts help our society run more efficiently.

2: Street Smarts. Cities and towns can make best use of their limited resources by graphing an "Euler circuit" to find the most efficient routes.

3: Trains, Planes and Critical Paths. Various algorithms introduced can aid in solving complex routing problems.

4: Juggling Machines. List processing algorithms and bin-packing, or how to use the least space to accommodate the most objects, are discussed.

5: Juicy Problems. Linear programming techniques such as the corner principle, the simplex method, and the Karmarkar algorithms are covered.

6: Overview. This program explains how to understand what data is and how it is collected, organized, and analyzed.

7: Behind the Headlines. Statisticians demonstrate the use of random sampling methods and randomized comparative experiments.

8: Picture This. Graphs, histograms, and box plots reveal changes and patterns that help define mean, median, quartile, and outlier.

9: Place Your Bets. Techniques of sampling distributions, normal curves, standard deviations, expected value, and the central limit theorem are examined.

10: Confident Conclusions. Explains statistical inference and how it is based on calculations of probability.

11: Overview. Mathematics makes our decisions quantifiable in areas as diverse as game theory and social choices.

12: The Impossible Dream. Not all voting methods are fair, as seen by looking at five different methods.

13: More Equal than Others. Mathematics and statistics are key to issues of weighted voting and winning coalitions.

14: Zero Sum Games. Game theory offers strategies to resolve disputes, and zero sum games and game matrices provide mathematical solutions to real problems.

15: Prisoner's Dilemma. The games of "chicken" and "prisoner's dilemma" illustrate issues in corporate takeovers and labor relations.

16: Overview. This program draws upon historical examples of geometric applications.

17: How Big Is Too Big. Geometric similarity and scale help mathematically balance the tensile strength of the materials with the size of the structure.

18: It Grows and Grows. How population grows mathematically and the importance of calculating growth.

19: Stand up Conic. The use and importance of conic sections in the design of twentieth-century inventions.

20: It Started in Greece. The mathematical tool of Euclidean geometry explains the congruence of triangles, the Pythagorean theorem, and similarity.

21: Overview. The history of the computer points out the relationship and interdependence between mathematics and computers.

22: Rules of the Game. Computer users must understand algorithms to analyze, choose, and apply the best type for a given problem.

23: Counting by Twos. Computers store, process, and reproduce information via codes.

24: Creating a Code. Encoding information for a computer requires the best and most efficient code.

25: Moving Picture Show. Visit Symbolics, Inc., to let the experts explain computer graphics.

26: Summing Up. Emphasizes the real-world applications of mathematics in today's society and the mathematical models that can be built from them.

For all practical purposes: Introduction to contemporary mathematics (2nd ed.).(1991). New York: W.H. Freeman.
Open Book Icon The text correlated with the Annenberg/CPT video series, this book addresses topics in management science (street networks, linear programming, planning and scheduling, and vertices), statistics, social choice and decision-making, population growth, patterns, and computer codes.

Savage, S.H. (1991). Instructor's guide to accompany For all Workbook Icon practical purposes: Introduction to contemporary mathematics (2nd ed.). New York: W.H. Freeman.

Learning Plus (Educational Testing Service, 1995?, 3.5" disks)
Computer Icon Originally developed to insure preparation for the Praxis I teacher education test, Learning Plus is designed to confirm (or remediate) skills in reading, writing, and mathematics.  The software may be installed on a student's notebook computer for a fee.  Individuals who would like access to Learning Plus should contact Sharon Stufflebean, Coordinator of Assessment Services, at 770/961-3445 or . 

Lerner, M. (1996). Math smart: Essential math for these numeric times (Princeton Review Series).  New York: Random House.
Open Book Icon Topics include: numbers, fractions, ratios and proportions, exponents and roots, algebra, geometry, and statistics.

Miller, C.D., Heeren, V.E., & Hornsby, E.J. (1997). Mathematical ideas (8th ed.). Reading, MA: Addison Wesley.
Open Book Icon Topics include: sets; logic; number theory; basic concepts of algebra; functions and graphs; counting methods; probability and statistics; consumer math; and matrices.

Miller, C.D., Heeren, V.E., & Hornsby, E.J. (1997). Study guide and Workbook Icon solutions manual for Mathematical ideas (8th ed.). Reading, MA: Addison Wesley.

Research and Education Association. (1976). Algebra & trigonometry: A complete Open Book Icon solution guide to any textbook (REA's problem solvers series). Picataway, NJ: REA.

Mathematics for Modern Living (Magna Systems, 1980, ~30 min.videos + workbooks)

VHS Tape IconWorkbook Icon The video course has minimal prerequisites and can be used by adult learning centers, community colleges, and other educational 
facilities. The course covers a variety of topics relevant to society.  Modules are designed to be stand-alone so that students can study only selected topics or can work through the entire series. Study guides include pretests, post-tests, activities to be completed after viewing a video, and a glossary.
1. Lead module

 
 

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