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CHAPTER ONE: PREREQUISITES FOR CALCULUS
1.1 Lines
1.2 Functions and Graphs
1.3 Exponential Functions
1.4 Parametric Equations
1.5 Functions and Logarithms
1.6 Trigonometric Functions
Chapter 1 Key Terms
Chapter 1 Review Exercises
CHAPTER TWO: LIMITS AND CONTINUITY
CHAPTER THREE: DERIVATIVES
3.1 Derivative of a Function
3.2 Differentiability
3.3 Rules for Differentiation
3.4 Velocity and Other Rates of Change
3.5 Derivatives of Trigonometric Functions
3.6 Chain Rule
3.7 Implicit Differentiation
3.8 Derivatives of Inverse Trigonometric Functions
3.9 Derivatives of Exponential and Logarithmic Functions
Chapter 3 Key Terms
Chapter 3 Review Exercises
CHAPTER FOUR: APPLICATIONS OF DERIVATIVES
CHAPTER FIVE: THE DEFINITE INTEGRAL
5.1 Estimating with Finite Sums
5.2 Definite Integrals
5.3 Definite Integrals and Antiderivatives
5.4 Fundamental Theorem of Calculus
5.5 Trapezoidal Rule
Chapter 5 Key Terms
Chapter 5 Review Exercises
CHAPTER SIX: DIFFERENTIAL EQUATIONS AND MATHEMATICAL MODELING
6.1 Slope Fields and Euler's Method
6.2 Antidifferentiation by Substitution
6.3 Antidifferentiation by Parts
6.4 Exponential Growth and Decay
6.5 Logistic Growth
Chapter 6 Key Terms
Chapter 6 Review Exercises
CHAPTER SEVEN: APPLICATIONS OF DEFINITE INTEGRALS
7.1 Integral as Net Change
7.2 Areas in the Plane
7.3 Volumes
7.4 Lengths of Curves
7.5 Applications from Science and Statistics
Chapter 7 Key Terms
Chapter 7 Review Exercises
CHAPTER EIGHT: SEQUENCES, L'HÔPITAL'S RULE, AND IMPROPER INTEGRALS
8.1 Sequences
8.2 L'Hôpital's Rule
8.3 Relative Rates of Growth
8.4 Improper Integrals
Chapter 8 Key Terms
Chapter 8 Review Exercises
CHAPTER NINE: INFINITE SERIES
9.1 Power Series
9.2 Taylor Series
9.3 Taylor's Theorem
9.4 Radius of Convergence
9.5 Testing Convergence at Endpoints
Chapter 9 Key Terms
Chapter 9 Review Exercises
CHAPTER TEN: PARAMETRIC, VECTOR, AND POLAR FUNCTIONS
10.1 Parametric Functions
10.2 Vectors in the Plane
10.3 Polar Functions
Chapter 10 Key Terms
Chapter 10 Review Exercises
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