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| Algebra Background For Precalculus | |
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| Sets of Real Numbers | |
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| Absolute Value | |
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| Polynomials and Factoring | |
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| Quadratic Equations | |
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| Coordinates, Graphs, And Inequalities | |
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| Rectangular Coordinates | |
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| Graphs and Equations, A Second Look | |
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| Equations of Lines | |
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| Symmetry and Graphs | |
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| Inequalities | |
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| More on Inequalities | |
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| Functions | |
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| The Definition of a Function | |
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| The Graph of a Function | |
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| Techniques in Graphing | |
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| Methods of Combining Functions | |
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| Iteration | |
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| Inverse Functions | |
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| Polynomial And Rational Functions | |
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| Applications to Iterations and Optimization | |
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| Linear Functions | |
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| Quadratic Functions | |
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| More on Iteration | |
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| Quadratics and Population Growth | |
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| Applied Functions: Setting Up Equations | |
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| Maximum and Minimum Problems | |
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| Polynomial Functions | |
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| Rational Functions | |
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| Exponential And Logarithmic Functions | |
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| Exponential Functions | |
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| The Exponential Function y = e to the x Power | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Equations and Inequalities with Logs and Exponents | |
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| Compound Interest | |
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| Exponential Growth and Decay | |
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| The Trigonometric Functions | |
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| Radian Measure | |
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| Trigonometric Functions of Angles | |
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| Evaluating the Trigonometric Functions | |
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| Algebra and the Trigonometric Functions | |
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| Right-Triangle Trigonometry | |
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| Graphs Of The Trigonometric Functions | |
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| Trigonometric Functions of Real Numbers | |
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| Graphs of the Sine and the Cosine Functions | |
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| Graphs of y = A sin(Bx-C) and y = A cos(Bx - C) | |
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| Simple Harmonic Motion | |
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| Graphs of the Tangent and the Reciprocal Functions | |
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| Analytical Trigonometry | |
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| The Addition Formulas | |
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| The Double-Angle Formulas | |
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| The Product-to-Sum and Sum-to-Product Formulas | |
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| Trigonometric Equations | |
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| The Inverse Trigonometric Functions | |
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| Additional Topics In Trigonometry | |
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| Right-Triangle Applications | |
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| The Law of Sines and the Law of Cosines | |
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| Vectors in the Plane, a Geometric Approach | |
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| Vectors in the Plane, an Algebraic Approach | |
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| Parametric Equations | |
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| Introduction to Polar Coordinates | |
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| Curves in Polar Coordinates | |
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| Systems Of Equations | |
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| Systems of Two Linear Equations in Two Unknowns | |
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| Gaussian Elimination | |
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| Matrices | |
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| The Inverse of a Square Matrix | |
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| Determinants and Cramer's Rule | |
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| Nonlinear Systems of Equations | |
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| Systems of Inequalities | |
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| Analytic Geometry | |
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| The Basic Equations | |
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| The Parabola | |
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| Tangents to Parabolas (Optional) | |
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| The Ellipse | |
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| The Hyperbola | |
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| The Focus-Directrix Property of Conics | |
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| The Conics in Polar Coordinates | |
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| Rotation of Axes | |
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| Roots Of Polynomial Equations | |
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| The Complex Number System | |
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| Division of Polynomials | |
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| Roots of Polynomial Equations: The Remainder Theorem and the Factor Theorem | |
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| The Fundamental Theorem of Algebra | |
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| Rational and Irrational Roots | |
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| Conjugate Roots and Descartes' Rule of Signs | |
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| Introduction to Partial Fractions | |
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| More About Partial Fractions | |
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| Additional Topics | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Introduction to Sequences and Series | |
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| Arithmetic Sequences and Series | |
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| Geometric Sequences and Series | |
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| DeMoivre's Theorem | |
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| Using a Graphing Utility | |
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| Significant Digits and Calculators | |
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| Tables | |
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| Answers to Selected Exercises | |