Note: You can ignore the section numbers in the videos as they were created for a previous version of the text – the topics are still consistent. You can find more electronic resources such as flashcards and clicker questions under the Online Resources tab.
| Section | Topic | Learning Activities | Section Concept Guides |
|---|---|---|---|
| Review | Algebra Worksheet | ||
| 2.1 | The Tangent and Velocity Problems | Worksheet | section2_1 |
| 2.2 | The Limit of a Function | Video, | section2_2 |
| 2.3 | Calculating Limits Using the Limit Laws | Video, | section2_3 |
| Labor Day | |||
| 2.4 | The Precise Definition of a Limit | Video,Worksheet | section2_4 |
| 2.5 | Continuity | Video, | section2_5 |
| 2.6 | Limits at Infinity; Horizontal Asymptotes | Video, | section2_6 |
| 2.7 | Derivatives and Rates of Change | Video,Worksheet | section2_7 |
| 2.8 | The Derivative as a Function | Video, | section2_8 |
| 3.1 | Derivatives of Polynomials and Exponential Functions | section3_1 | |
| Midterm 1 (Sections 2.1 to 3.1) | Practice Exam 1 | Practice Exam 1 Solns | |
| 3.2 | The Product and Quotient Rules | Video,Worksheet | Section3_2 |
| 3.3 | Derivatives of Trigonometric Functions | Video,Worksheet | Section3_3 |
| 3.4 | The Chain Rule | Video, | Section3_4 |
| 3.5 | Implicit Differentiation | Video, | Section3_5 |
| 3.6 | Derivatives of Logarithmic Functions | Worksheet | Section3_6 |
| 3.8 | Exponential Growth and Decay | Section3_8 | |
| 3.9 | Related Rates | Worksheet | Section3_9 |
| 3.10 | Linear Approximations and Differentials | Section3_10 | |
| 4.8 | Newton’s Method | Section4_8 | |
| Midterm 2 (Sections 3.2, 3.3, 3.4, 3.5, 3.6, 3.8, 3.9, 3.10, 4.8) | Practice Exam 2 | Practice Exam 2 Solns | |
| 4.1 | Maximum and Minimum Values | Video,Worksheet | Section4_1 |
| 4.2 | Mean Value Theorem | Video,Worksheet | Section4_2 |
| 4.3 | How Derivatives Affect the Shape of a Graph | Video A, Video B, | Section4_3 |
| 4.4 | Indeterminate Forms and l’Hospital’s Rule | Video, | Section4_4 |
| 4.7 | Optimization Problems | Video,Worksheet | Section4_7 |
| 4.9 | Antiderivatives | Section4_9 | |
| 5.1 | Areas and Distances | Video, Worksheet | Section5_1 |
| 5.2 | The Definite Integral | Video, | Section5_2 |
| 5.3 | The Fundamental Theorem of Calculus | Video, | Section5_3 |
| Midterm 3 (Sections 4.1, 4.2, 4.3, 4.4, 4.7, 4.9, 5.1, 5.2, 5.3) | Practice exam3 | Solutions | |
| 5.4 | Indefinite Integrals and Net Change Theorem | Worksheet | Section5_4 |
| 5.5 | The Substitution Rule | Video,Worksheet | Section5_5 |
| 6.1 | Areas Between Curves | Video, | Section6_1 |
| 6.2 | Volumes | Video A, Video B Worksheet | Section6_2 |
| Finals Week | Practice Final | Solutions |