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Precalculus 7e
CHAPTER R: BASIC ALGEBRAIC OPERATIONS
R-1Algebra and Real Numbers
R-2Exponents and Radicals
R-3Polynomials: Basic Operations and Factoring
R-4Rational Expressions: Basic Operations
Chapter R Review
CHAPTER 1: EQUATIONS AND INEQUALITIES
1-1Linear Equations and Applications
1-2Linear Inequalities
1-3Absolute Value
1-4Complex Numbers
1-5Quadratic Equations and Applications
1-6Equations Involving Radicals
Chapter 1 Group Activity: Solving a Cubic Equation
Chapter 1 Review
CHAPTER 2: GRAPHS
2-1Rectangular Coordinates
2-2Distance in the Plane
2-3Equations of a Line
2-4Linear Equations and Models
Chapter 2 Group Activity: Rates of Change
Chapter 2 Review
CHAPTER 3: FUNCTIONS
3-1Functions
3-2Graphing Functions
3-3Transformations of Functions
3-3Quadratic Functions
3-5Combining Functions; Composition
3-6Inverse Functions
Chapter 3 Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan
Chapter 3 Review
1, 2, & 3 Cumulative Review Exercises
CHAPTER 4: POLYNOMIAL AND RATIONAL FUNCTIONS
4-1Polynomial Functions And Models
4-2Real Zeros and Polynomial Inequalities
4-3Complex Zeros and Rational Zeros of Polynomials
4-4Rational Functions and Inequalities
4-5Variation and Modeling
Chapter 4 Group Activity: Interpolating Polynomials
Chapter 4 Review
CHAPTER 5: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
5-1Exponential Functions
5-2Exponential Models
5-3Logarithmic Functions
5-4Logarithmic Models
5-5Exponential and Logarithmic Equations
Chapter 5 Group Activity: Growth of Increasing Functions
Chapter 5 Review
4 & 5 Cumulative Review Exercises
CHAPTER 6: TRIGONOMETRIC FUNCTIONS
6-1Angles and Their Measure
6-2Trigonometric Functions: A Unit Circle Approach
6-3Solving Right Triangles
6-4Trigonometric Functions: Properties and Graphs
6-5More General Trigonometric Functions
6-6Inverse Trigonometric Functions
Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
Chapter 6 Review
CHAPTER 7: TRIGONOMETRIC IDENTITIES AND CONDITIONAL EQUATIONS
7-1Basic Identities and Their Use
7-2Sum, Difference, and Cofunction Identities
7-3Double-Angle and Half-Angle Identities
7-4Product-Sum and Sum-Product Identities
7-5Trigonometric Equations
Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C) - A Harmonic Analysis Tool
Chapter 7 Review
CHAPTER 8: ADDITIONAL TOPICS IN TRIGONOMETRY
8-1Law of Sines
8-2Law of Cosines
8-3Vectors in the Plane
8-4Polar Coordinates and Graphs
8-5Complex Numbers and De Moivre's Theorem
Chapter 8 Group Activity: Conic Sections and Planetary Orbits
Chapter 8 Review
6, 7, & 8 Cumulative Review Exercises
CHAPTER 9: ADDITIONAL TOPICS IN ANALYTIC GEOMETRY
9-1Conic Sections; Parabola
9-2Ellipse
9-3Hyperbola
9-4Rotation of Axes
Chapter 9 Group Activity: Focal Chords
Chapter 9 Review
CHAPTER 10: SYSTEMS OF EQUATIONS AND INEQUALITIES; MATRICES
10-1Systems of Linear Equations
10-2Solving Linear Systems Using Gauss-Jordan Elimination
10-3Matrix Operations
10-4Solving Linear Systems Using Inverse Matrices
10-5Determinants and Cramer's Rule
Chapter 10 Group Activity: Modeling with Systems of Linear Equations
10-6Systems of Nonlinear Equations
10-7Systems of Linear Inequalities
10-8Linear Programming
Chapter 10 Review
CHAPTER 11: SEQUENCES AND SERIES
11-1Sequences and Series
11-2Mathematical Induction
11-3Arithmetic and Geometric Sequences
11-4Counting Techniques: Multiplication Principle, Permutations, and Combinations
11-5Sample Spaces and Probability
11-6Binomial Formula
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Chapter 11 Review
9. 10, & 11 Cumulative Review Exercises
CHAPTER 12: LIMITS: AN INTRODUCTION TO CALCULUS
12-1Introduction to Limits
12-2Computing Limits Algebraically
12-3Limits at Infinity
12-4The Derivative
12-5Area and Calculus
Chapter 12 Group Activity: Derivatives of Exponential and Log Functions
Chapter 12 Review
APPENDIX A: SPECIAL TOPICS
A-1Scientific Notation and Significant Digits
A-2Partial Fractions
A-3Parametric Equations
APPENDIX B
B-1Geometric Formulas
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