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Chapter 1 Functions and Models
1.5 Exponential Functions
1.6 Inverse Functions and Logarithms 

Chapter 2 Limits and derivatives
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws 

2.4 The Precise Definition of a Limit 

2.5 Continuity 

2.6 Limits at Infinity; Horizontal Asymptotes 

2.7 Derivatives and Rates of Change 

2.8 The Derivative as a Function 

Chapter 3 Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions 

3.2 The Product and Quotient Rules 

3.3 Derivatives of Trigonometric Functions 

3.4 The Chain Rule 

3.5 Implicit Differentiation 

3.6 Derivatives of Logarithmic Functions 

3.9 Related Rates 

3.10 Linear Approximations and Differentials 

Chapter 4 Applications of Differentiation 4.1 Maximum and Minimum Values 

4.2 The Mean Value Theorem 

4.3 How Derivatives Affect the Shape of a Graph
4.5 Summary of Curve Sketching 

4.4 Indeterminate Forms and L’Hospital’s Rule 

4.7 Optimization Problems 

4.9 Antiderivatives 

Chapter 5 Integrals
5.1 Areas and Distances 

5.2 The Definite Integral 

5.3 The Fundamental Theorem of Calculus 

5.4 Indefinite Integrals and the Net Change Theorem 

5.5 The Substitution Rule 

Chapter 6 Applications of Integration
61 Areas Between Curves 

6.2 Volumes
6.3 Volumes by Cylindrical Shells 

6.5 Average Value of a Function 

Chapter 7 Techniques of Integration
7.1 Integration by Parts 

72 Trigonometric Integrals 

73 Trigonometric Substitution 

74 Integration of Rational Function by Partial Fraction 

77 Approximate Integration 

78 Improper Integrals 

81 Arc Length 

82 Area of a Surface of Revolution 

83 Applications to Physics and Engineering 

85 Probability 

Chapter 10 Parametric Equations and Polar Coordinates
101 Curves Defined by Parametric Equation 

102 Curves Defined by Parametric Equation 

103 Polar Coordinates 

10.4 Area and Lengths in Polar Coordinates 
