Algebra and Trigonometry with Analytic Geometry

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Every chapter ends with Review Exercises, Discussion Exercises, and
a Chapter Test.

1. FUNDAMENTAL CONCEPTS OF ALGEBRA.

Real Numbers. Exponents and Radicals. Algebraic Expressions.
Fractional Expressions.

2. EQUATIONS AND INEQUALITIES.

Equations. Applied Problems. Quadratic Equations. Complex Numbers.
Other Types of Equations. Inequalities. More on Inequalities.

3. FUNCTIONS AND GRAPHS.

Rectangular Coordinate Systems. Graphs of Equations. Lines.
Definition of Function. Graphs of Functions. Quadratic Functions.
Operations on Functions.

4. 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. Variation.

5. INVERSE, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS.

Inverse Functions. Exponential Functions. The Natural Exponential
Function. Logarithmic Functions. Properties of Logarithms.
Exponential and Logarithmic Equations.

6. THE TRIGONOMETRIC FUNCTIONS.

Angles. Trigonometric Functions of Angles. Trigonometric Functions
of Real Numbers. Values of Trigonometric Functions. Trigonometric
Graphs. Additional Trigonometric Graphs. Applied Problems.

7. 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.

8. 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.

9. 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.

10. SEQUENCES, SERIES AND PROBABILITY.

Infinite Sequences and Summation Notation. Arithmetic Sequences.
Geometric Sequences. Mathematical Induction. The Binomial Theorem.
Permutations. Distinguishable Permutations and Combinations.
Probability.

11. TOPICS FROM ANALYTIC GEOMETRY.

Parabolas. Ellipses. Hyperbolas. Plane Curves and Parametric
Equations. Polar Coordinates. Polar Equations of Conics.

Appendix I: Common Graphs and Their Equations.

Appendix II: A Summary of Graph Transformations.

Appendix III: Graphs of the Trigonometric Functions and Their
Inverses.

Appendix IV: Values of the Trigonometric Functions of Special
Angles on a Unit Circle.

Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole. Jeffery A. Cole has been teaching mathematics and computer science at Anoka-Ramsey Community College since fall 1981. He started working on the Swokowski series of precalculus texts in 1985 as an ancillary author, and has been a co-author since 1991. His contribution to the Swokowski texts also includes joining the revision team of the calculus text in 1989.

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