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Precalculus : Graphs and Models
ISBN: 9780201616743 | 0201616742
Edition: 2NDPublisher: Benjamin-Cummings Publishing Company
Pub. Date: 2/5/2002
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Precalculus: Graphs and Models, 2/e covers college-level algebra and trigonometry and is appropriate for a one- or two-term, graphing required, precalculus course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.
| The Real-Number System | |
| Integer Exponents, Scientific Notation, and Order of Operations | |
| Addition, Subtraction, and Multiplication of Polynomials | |
| Factoring | |
| Rational Expressions | |
| Radical Notation and Rational Exponents | |
| The Basics of Equation Solving | |
| Graphs, Functions, and Models | |
| Introduction to Graphing | |
| ... MORE | |
| Linear Functions, Slope, and Applications | |
| Equations of Lines and Modeling | |
| More on Functions | |
| The Algebra of Functions | |
| Symmetry and Transformations | |
| Functions, Equations, and Inequalities | |
| Linear Equations, Functions, and Models | |
| The Complex Numbers | |
| Quadratic Equations, Functions, and Models | |
| Analyzing Graphs of Quadratic Functions | |
| More Equation Solving | |
| Solving Linear Inequalities | |
| Polynomial and Rational Functions | |
| Polynomial Functions and Models | |
| Graphing Polynomial Functions | |
| Polynomial Division The Remainder and Factor Theorems | |
| Theorems about Zeros of Polynomial Functions | |
| Rational Functions | |
| Polynomial and Rational Inequalities | |
| Variation and Applications | |
| Exponential and Logarithmic Functions | |
| Inverse Functions | |
| Exponential Functions and Graphs | |
| Logarithmic Functions and Graphs | |
| Properties of Logarithmic Functions | |
| Solving Exponential and Logarithmic Equations | |
| Applications and Models: Growth and Decay Compound Interest | |
| The Trigonometric Functions | |
| Trigonometric Function of Acute Angles | |
| Applications of Right Triangles | |
| Trigonometric Functions of Any Angle | |
| Radians, Arc Length, and Angular Speed | |
| Circular Functions: Graphs and Properties | |
| Graphs of Transformed Sine and Cosine Functions | |
| Trigonometric Identities, Inverse Functions, and Equations | |
| Identities: Pythagorean and Sum and Difference | |
| Identities: Cofunction, Double-Angle, and Half-Angle | |
| Proving Trigonometric Identities | |
| Inverses of the Trigonometric Functions | |
| Solving Trigonometric Equations | |
| Applications of Trigonometry | |
| The Law of Sines | |
| The Law of Cosines | |
| Complex Numbers: Trigonometric Form | |
| Polar Coordinates and Graphs | |
| Vectors and Applications | |
| Vector Operations | |
| Systems of Equations and Matrices | |
| Systems of Equations in Two Variables | |
| Systems of Equations in Three Variables | |
| Matrices and Systems of Equations | |
| Matrix Operations | |
| Inverses of Matrices | |
| Determinants and Cramer's Rule | |
| Systems of Inequalities and Linear Programming | |
| Partial Fractions | |
| Analytic Geometry Topics | |
| The Parabola | |
| The Circle and the Ellipse | |
| The Hyperbola | |
| Nonlinear Systems of Equations and Inequalities | |
| Rotation of Axes | |
| Polar Equations of Conics | |
| Parametric Equations | |
| Sequences, Series, and Combinatorics | |
| Sequences and Series | |
| Arithmetic Sequences and Series | |
| Geometric Sequences and Series | |
| Mathematical Induction | |
| Combinatorics: Permutations | |
| Combinatorics: Combinations | |
| The Binomial Theorem | |
| Probability | |
| Appendix | |
| Basic Concepts of Geometry | |
| Table of Contents provided by Publisher. All Rights Reserved. |
