What is included with this book?
Topics From Algebra | |
Real Numbers | |
Exponents and Radicals | |
Algebraic Expressions | |
Equations | |
Complex Numbers | |
Inequalities | |
Rectangular Coordinate Systems | |
Lines. | |
Chapter 1 Review Exercises. | |
Chapter 1 Discussion Exercises | |
Functions | |
Definition of Function | |
Graphs of Functions | |
Quadratic Functions | |
Operations on Functions | |
Inverse Functions. | |
Chapter 2 Review Exercises. | |
Chapter 2 Discussion Exercises | |
Polynomial And Rational Functions | |
Polynomial Functions of Degree Greater than 2 | |
Properties of Division | |
Zeros of Polynomials | |
Complex and Rational Zeros of Polynomials | |
Rational Functions. | |
Chapter 3 Review Exercises. | |
Chapter 3 Discussion Exercises | |
Exponential And Logarithmic Functions | |
Exponential Functions | |
The Natural Exponential Function | |
Logarithmic Functions | |
Properties of Logarithms | |
Exponential and Logarithmic Equations. | |
Chapter 4 Review Exercises. | |
Chapter 4 Discussion Exercises | |
The Trigonometric Functions | |
Angles | |
Trigonometric Functions of Angles | |
Trigonometric Functions of Real Numbers | |
Values of the Trigonometric Functions | |
Trigonometric Graphs | |
Additional Trigonometric Graphs | |
Applied Problems. | |
Chapter 5 Review Exercises. | |
Chapter 5 Discussion Exercises | |
Analytic Trigonometry | |
Verifying Trigonometric Identities | |
Trigonometric Equations | |
The Addition and Subtraction Formulas | |
Multiple-Angle Formulas | |
Product-to-Sum and Sum-to-Product Formulas | |
The Inverse Trigonometric Functions. | |
Chapter 6 Review Exercises. | |
Chapter 6 Discussion Exercises | |
Applications Of Trigonometry | |
The Law of Sines | |
The Law of Cosines | |
Trigonometric Form for Complex Numbers | |
DeMoivre's Theorem and nth Roots of Complex Numbers | |
Vectors | |
The Dot Product. | |
Chapter 7 Review Exercises. | |
Chapter 7 Discussion Exercises | |
Systems Of Equations And Inequalities | |
Systems of Equations | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in More than Two Variables | |
Partial Fractions | |
Systems of Inequalities | |
Linear Programming | |
The Algebra of Matrices | |
The Inverse of a Matrix | |
Determinants | |
Properties of Determinants. | |
Chapter 8 Review Exercises. | |
Chapter 8 Discussion Exercises | |
Sequences, Series, and Probability | |
Infinite Sequences and Summation Notation | |
Arithmetic Sequences | |
Geometric Sequences | |
Mathematical Induction | |
The Binomial Theorem | |
Permutations | |
Distinguishable Permutations and Combinations | |
Probability. | |
Chapter 9 Review Exercises. | |
Chapter 9 Discussion Exercises | |
Topics From Analytic Geometry | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Plane Curves and Parametric Equations | |
Polar Coordinates | |
Polar Equations of Conics. | |
Chapter 10 Review Exercises. | |
Chapter 10 Discussion Exercises | |
Using a TI-82/83 Graphing Calculator | |
Common Graphs and Their Equations | |
A Summary of Graph Transformations | |
Graphs of the Trigonometric Functions and Their Inverses | |
Answers to Selected Exercises | |
Index of Applications | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |