Algebra and Trigonometry with Analytic Geometry – Earl Swokowski, Jeffery A. Cole – 12th Edition

PREFACE
CHAPTER 1: FUNDAMENTAL CONCEPTS OF ALGEBRA
1.1: Real Numbers
1.2: Exponents and Radicals
1.3: Algebraic Expressions
1.4: Fractional Expressions
CHAPTER 1 REVIEW EXERCISES
CHAPTER 1 DISCUSSION EXERCISES
CHAPTER 2: EQUATIONS AND INEQUALITIES
2.1: Equations
2.2: Applied Problems
2.3: Quadratic Equations
2.4: Complex Numbers
2.5: Other Types of Equations
2.6: Inequalities
2.7: More on Inequalities

CHAPTER 2 REVIEW EXERCISES
CHAPTER 2 DISCUSSION EXERCISES

CHAPTER 3: FUNCTIONS AND GRAPHS
3.1: Rectangular Coordinate Systems
3.2: Graphs of Equations
3.3: Lines
3.4: Definition of Function
3.5: Graphs of Functions
3.6: Quadratic Functions
3.7: Operations on Functions
CHAPTER 3 REVIEW EXERCISES
CHAPTER 3 DISCUSSION EXERCISES

CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
4.1: Polynomial Functions of Degree Greater Than 2
4.2: Properties of Division
4.3: Zeros of Polynomials
4.4: Complex and Rational Zeros of Polynomials
4.5: Rational Functions
4.6: Variation
CHAPTER 4 REVIEW EXERCISES
CHAPTER 4 DISCUSSION EXERCISES

CHAPTER 5: INVERSE, EXPONENTIAL, AND LOGARITHMIC FUNCTIONS
5.1: Inverse Functions
5.2: Exponential Functions
5.3: The Natural Exponential Function
5.4: Logarithmic Functions
5.5: Properties of Logarithms
5.6: Exponential and Logarithmic Equations
CHAPTER 5 REVIEW EXERCISES
CHAPTER 5 DISCUSSION EXERCISES

CHAPTER 6: THE TRIGONOMETRIC FUNCTIONS
6.1: Angles
6.2: Trigonometric Functions of Angles
6.3: Trigonometric Functions of Real Numbers
6.4: Values of the Trigonometric Functions
6.5: Trigonometric Graphs
6.6: Additional Trigonometric Graphs
6.7: Applied Problems
CHAPTER 6 REVIEW EXERCISES
CHAPTER 6 DISCUSSION EXERCISES

CHAPTER 7: ANALYTIC TRIGONOMETRY
7.1: Verifying Trigonometric Identities
7.2: Trigonometric Equations
7.3: The Addition and Subtraction Formulas
7.4: Multiple-Angle Formulas
7.5: Product-to-Sum and Sum-to-Product Formulas
7.6: The Inverse Trigonometric Functions
CHAPTER 7 REVIEW EXERCISES
CHAPTER 7 DISCUSSION EXERCISES

CHAPTER 8: APPLICATIONS OF TRIGONOMETRY
8.1: The Law of Sines
8.2: The Law of Cosines
8.3: Vectors
8.4: The Dot Product
8.5: Trigonometric Form for Complex Numbers
8.6: De Moivre’s Theorem and nth Roots of Complex Numbers
CHAPTER 8 REVIEW EXERCISES
CHAPTER 8 DISCUSSION EXERCISES

CHAPTER 9: SYSTEMS OF EQUATIONS AND INEQUALITIES
9.1: Systems of Equations
9.2: Systems of Linear Equations in Two Variables
9.3: Systems of Inequalities
9.4: Linear Programming
9.5: Systems of Linear Equations in More Than Two Variables
9.6: The Algebra of Matrices
9.7: The Inverse of a Matrix
9.8: Determinants
9.9: Properties of Determinants
9.10: Partial Fractions
CHAPTER 9 REVIEW EXERCISES
CHAPTER 9 DISCUSSION EXERCISES

CHAPTER 10: SEQUENCES, SERIES, AND PROBABILITY
10.1: Infinite Sequences and Summation Notation
10.2: Arithmetic Sequences
10.3: Geometric Sequences
10.4: Mathematical Induction
10.5: The Binomial Theorem
10.6: Permutations
10.7: Distinguishable Permutations and Combinations
10.8: Probability
CHAPTER 10 REVIEW EXERCISES
CHAPTER 10 DISCUSSION EXERCISES

CHAPTER 11: TOPICS FROM ANALYTIC GEOMETRY
11.1: Parabolas
11.2: Ellipses
11.3: Hyperbolas
11.4: Plane Curves and Parametric Equations
11.5: Polar Coordinates
11.6: Polar Equations of Conics
CHAPTER 11 REVIEW EXERCISES
CHAPTER 11 DISCUSSION EXERCISES

APPENDIXES
APPENDIX I: Common Graphs and Their Equations
APPENDIX II: A Summary of Graph Transformations
APPENDIX III: Graphs of Trigonometric Functions and Their Inverses
APPENDIX IV: Values of the Trigonometric Functions of Special Angles on a Unit Circle
ANSWERS TO SELECTED EXERCISES
INDEX OF APPLICATIONS
INDEX