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Full Description
A new generation of College Algebra course material has arrived! Interactive College Algebra: A Web-Based Course presents an exciting approach to learning College Algebra that brings together the strongest pedagogy with the interactivity of current technology. The interactive modules can be accessed via the Web or from the CD-ROM that accompanies each Student Guide. With the CD, readers can always access the interactive course material and work on exercises, even when they can't access the Internet. Interactive College Algebra address some of the serious issues confronting reader success in College Algebra today and can be used as a full course or as a supplement--in the classroom or for distance learning.
Contents
Preface. Acknowledgments. Introduction. To the InstructoR. To the Student. Using the Modules. Typing Mathematics on the Web. Quizzes. 1 Coordinate Plane. 1.1 Structure of the Plane. 1.2 Distance and Midpoint. 1.3 Lines. 1.4 Circles. 1.5 Complex Numbers. 1.6 Broken Wheel Problem. 2 Functions and Graphing. 2.1 Functions. 2.2 Graphing Techniques. 2.3 Quadratic Functions. 2.4 Maximizing the Area of a Rectangle. 2.5 Graphing Quadratics. 3 Operations and Inverses. 3.1 Operations on Functions. 3.2 Inverse Functions. 4 Polynomial Functions. 4.1 Polynomial Functions. 4.2 Finding Zeros. 4.3 Division. 4.4 Zeros and Graphing. 4.5 Synthetic Division. 4.6 Zeros and Factoring. 4.7 Descartes' Rule of Signs. 4.8 Bounds for Zeros. 4.9 Rational Zeros. 4.10 Complex Zeros and Coefficients. 4.11 Approximating Zeros. 4.12 Factoring and Graphing. 5 Rational Functions. 5.1 Rational Functions. 5.2 Domain and x-intercepts. 5.3 Sign Determination. 5.4 Vertical Asymptotes. 5.5 Horizontal Asymptotes. 5.6 Graphing Rational Functions. 6 Exponential Functions. 6.1 Exponential Functions. 6.2 Graphing. 7 Logarithmic Functions. 7.1 Introduction to Logarithms. 7.2 Base 10 and Base e. 7.3 Inverses. 7.4 Properties of Logarithms. 7.5 Logarithmic and Exponential Equations. 8 Systems of Equations. 8.1 Systems of Linear Equations. 8.2 Equivalent Systems. 8.3 Infinitely Many Solutions. 8.4 Solving Systems of Equations. 8.5 Mixture Problems. 8.6 Parabola from Three Points. 9 Matrices. 9.1 Matrices. 9.2 Systems of Equations and Matrices. 9.3 Determinants. 9.4 Cramer's Rule. 9.5 Inverse Matrices. 9.6 Systems of Equations and Inverse Matrices. 10 Sequences. 10.1 Sequences. 10.2 Arithmetic Progressions (AP). 10.3 Sums of Arithmetic Progressions. 10.4 Geometric Progressions (GP). 10.5 Sums of Geometric Progressions. 10.6 Repeating Decimals. 10.7 Amortized Loans. A Completing the Square. B Broken Wheel Example. C Synthetic Division Example. D Answers to Selected Exercises. Index.
