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1 | 1.1 Overview 1.2 Precalculus Review 2.1 Concepts of the Limit 2.2 Evaluating Limits Supplementary notes Intermediate Theorem Squeeze Theorem | Exercises 1.1.1 through 1.2.4 Exercises 2.1.1 through 2.2.4 Discussion 1: Calculus History Chapter 2 Homework | Chapter 2 test |
2 | 3.1 Understanding the Derivative 3.2 Using Derivative 3.3 Some Special Derivatives Supplementary note Differentiability | Exercises 3.1.1 through 3.3.2 Calculus Lab 1: Average and Instantaneous Velocity Chapter 3 Homework | Chapter 3 & 4 test |
3 | 4.1 The Power Rule 4.2 The Product and Quotient Rules | Exercises 4.1.1 through 4.2.2 |
4 | 4.3 The Chain Rule | Exercises 4.3.1 through 4.3.3 Chapter 4 Homework |
5 | 5.1 Trigonometric Functions 5.2 Exponential Functions | Exercises 5.1.1 through 5.2.2 | Chapter 5 test |
6 | 5.3 Logarithmic Functions Supplementary note Differentiation Notation | Exercises 5.3.1 through 5.3.3 Discussion 2: Concept of Derivative Chapter 5 Homework |
7 | 6.1 Implicit Differentiation Basics 6.2 Applying Implicit Differentiation | Exercises 6.1.1 through 6.2.2 | Chapter 6 test |
8 | 6.3 Inverse Functions 6.4 The Calculus of Inverse Functions 6.5 Inverse Trigonometric Functions Supplementary note Derivative of Function Inverses | Exercises 6.3.1 through 6.5.3 |
9 | 6.6 The Calculus of Inverse Trigonometric Function 6.7 The Hyperbolic Functions | Exercises 6.6.1 through 6.7.3 Whiteboard Lab 1: Calculator Techniques on Function Derivatives and Graphs Chapter 6 Homework |
10 | 7.1 Position and Velocity 7.2 Linear Approximation | Exercises 7.1.1 through 7.2.3 | Chapter 7 test |
11 | 7.3 Optimization 7.4 Related Rates | Exercises 7.3.1 through 7.4.5 Calculus Lab 2: Volume of a Cylinder Discussion 3: Applications of Derivative |
12 | Supplementary note Local and Absolution Extreme Values | Chapter 7 Homework |
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13 | 8.1 Introduction 8.2 Critical Points 8.3 Concavity Supplementary note Mean Value Theorem | Exercises 8.1.1 through 8.3.3 | Chapter 8 test |
14 | 8.4 Graphing Using the Derivative 8.5 Asymptotes | Exercises 8.4.1 through 8.5.5 Calculus Lab 3: Curve Sketching Chapter 8 Homework |
15 | 9.1 Antiderivatives 9.2 Integration by Substitution | Exercises 9.1.1 through 9.2.2 | Chapter 9 test |
16 | 9.3 Illustrating Integration by Substitution 9.4 The Fundamental Theorem of Calculus | Exercises 9.3.1 through 9.4.5 Discussion 4: Fundamental Theorem of Calculus |
17 | 9.5 Separable Differential Equations | Exercises 9.5.1 through 9.5.4 Chapter 9 Homework |
18 | 10.1 Motion 10.2 Finding Area Between Two Curves 10.3 Integrating with Respect to y | Exercises 10.1.1 through 10.3.3 | Chapter 10 test |
19 | 10.4 The Average Value of a Function 10.5 Finding Volumes Using Cross-Sections | Exercises 10.4.1 through 10.5.2 |
20 | 10.6 Disk and Washers 10.7 Shells | Exercises 10.6.1 through 10.7.3 |
21 | 10.8 Work 10.9 Moments and Centers of Mass Supplementary Pumping Out a Tank | Exercises 10.7.1 through 10.9.2 Whiteboard Lab 2: Calculator Techniques on Area Under the Curve and Numerical Integration Chapter 10 Homework |
22 | 11.1 Separable Differential Equations 11.2 Exponential Growth and Decay Supplementary notes Slope Field | Calculus Lab 4: Slope Field | |
23 | 12.1 Indeterminate Quotients | Exercises 12.1.1 through 12.1.4 | Chapter 12 test |
24 | 12.2 Other Indeterminate Forms | Exercises 12.2.1 through 12.24 |
25 | 12.3 Improper Integrals Supplementary Extra Remarks on Improper Integrals | Exercises 12.3.1 through 12.3.3 Chapter 12 Homework |
26 | 13.1 The Close of Calculus I 14.1 Paradoxes 14.2 Sequences | Exercises 13.1.1 through 13.1.2 Discussion 5: Calculus Story and the Future | none |
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