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 Guide |
---|---|---|---|
Review | Algebra Worksheet | ||
2.1 | The Tangent and Velocity Problems | Video, Slides to Accompany Video, Week 1 Worksheet | section2_1 |
2.2 | The Limit of a Function | Video | section2_2 |
2.3 | Calculating Limits Using the Limit Laws | Video | section2_3 |
2.4 | The Precise Definition of a Limit | Video, Week 2 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, Week 3 Worksheet | section2_7 |
2.8 | The Derivative as a Function | Video, | section2_8 |
Midterm 1 (Sections 2.1 to 2.8) | Practice Exam 1 | Practice Exam Solns | |
3.1 | Derivatives of Polynomials and Exponential Functions | section3_1 | |
3.2 | The Product and Quotient Rules | Video, Week 4 Worksheet | section3_2 |
3.3 | Derivatives of Trigonometric Functions | Video, Week 5 Worksheet | section3_3 |
3.4 | The Chain Rule | Video | section3_4 |
3.5 | Implicit Differentiation | Video | section3_5 |
3.6 | Derivatives of Logarithmic Functions | Week 6 Worksheet | section3_6 |
3.8 | Exponential Growth and Decay | section3_8 | |
3.9 | Related Rates | Week 7 Worksheet | section3_9 |
3.10 | Linear Approximations and Differentials | section3_10 | |
4.8 | Newton’s Method | section4_8 | |
Midterm 2 (Sections 3.1, 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,
|
section4_1 |
4.2 | Mean Value Theorem | Video, Week 10 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, Week 11 Worksheet | section4_7 |
4.9 | Antiderivatives | section4_9 | |
5.1 | Areas and Distances | Video, Week 12 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 Exam 3 | Practice Exam Soln | |
5.4 | Indefinite Integrals and the Net Change Theorem | Week 13 Worksheet | section5_4 |
5.5 | The Substitution Rule | Video, Work 14 Worksheet | section5_5 |
6.1 | Areas Between Curves | Video | section6_1 |
6.2 | Volumes | Video A, Video B, Week 15 Worksheet | section6_2 |
Final Exams week | Practice Exam Finals | Solutions |