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| Topics from Algebra | |
| Real Numbers | |
| Exponents and Radicals | |
| Algebraic Expressions | |
| Equations | |
| Complex Numbers | |
| Inequalities | |
| Review Exercises | |
| Discussion Exercises | |
| Graphs and Functions | |
| Rectangular Coordinate Systems | |
| Graphs of Equations | |
| Lines | |
| Definition of Function | |
| Graphs of Functions | |
| Quadratic Functions | |
| Operations on Functions | |
| Review Exercises | |
| Discussion Exercises | |
| Polynomial and Rational Functions | |
| Polynomial Functions of Degree Greater Than | |
| Properties of Division | |
| Zeros of Polynomials | |
| Complex and Rational Zeros of Polynomials | |
| Rational Functions | |
| Variation | |
| Review Exercises | |
| Discussion Exercises | |
| Inverse, Exponential, and Logarithmic Functions | |
| Inverse Functions | |
| Exponential Functions | |
| The Natural Exponential Function | |
| Logarithmic Functions | |
| Properties of Logarithms | |
| Exponential and Logarithmic Equations | |
| Review Exercises | |
| Discussion Exercises | |
| Trigonometric Functions | |
| Angles | |
| Trigonometric Functions of Angles | |
| Trigonometric Functions of Real Numbers | |
| Values of the Trigonometric Functions | |
| Trigonometric Graphs | |
| Additional Trigonometric Graphs | |
| Applied Problems | |
| Review Exercises | |
| Discussion Exercises | |
| Analytic Trigonometry | |
| Verifying Trigonometric Identities | |
| Trigonometric Equations | |
| The Additions and Subtraction of Formulas | |
| Multiple-Angle Formulas | |
| Product-To-Sum and Sum-To-Product Formulas | |
| The Inverse Trigonometric Functions | |
| Review Exercises | |
| Discussion Exercises | |
| Applications of Trigonometry | |
| The Law of Sines | |
| The Law of Cosines | |
| Vectors | |
| The Dot Product | |
| Trigonometric Form for Complex Numbers | |
| De Moivre's Theorem and nth Roots of Complex Numbers | |
| Review Exercises | |
| Discussion Exercises | |
| Systems of Equations and Inequalities | |
| Systems of Equations | |
| Systems of Linear Equations in Two Variables | |
| Systems of Inequalities | |
| Linear Programming | |
| Systems of Linear Equations in More Than Two Variables | |
| The Algebra of Matrices | |
| The Inverse of a Matrix | |
| Determinants | |
| Properties of Determinants | |
| Partial Fractions | |
| Review Exercises | |
| 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 | |
| Review Exercises | |
| Discussion Exercises | |
| Topics from Analytical Geometry | |
| Parabolas | |
| Ellipses | |
| Hyperbolas | |
| Plane Curves and Parametric Equations | |
| Polar Coordinates | |
| Polar Equations of Conics | |
| Review Exercises | |
| Discussion Exercises | |
| Table of Contents provided by Publisher. All Rights Reserved. |