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.
| Section | Topic | Learning Activities | Section Concept Guide
(Extra Practice – Not Collected or Graded) |
|---|---|---|---|
| Review | Applications of Logarithms | ||
| 2.1 | The Tangent and Velocity Problems | Video, Slides to Accompany Video, Overview of Calculus, Applications of Tangent Lines | section2_1 |
| 2.2 | The Limit of a Function | Applications of Limits, Video | section2_2 |
| 2.3 | Calculating Limits Using the Limit Laws | Video | section2_3 |
| 2.4 | The Precise Definition of a Limit | Video, Section 2.4 Activity | section2_4 |
| 2.5 | Continuity | Applications of Continuity, Video | section2_5 |
| 2.6 | Limits at Infinity; Horizontal Asymptotes | Video | section2_6 |
| 2.7 | Derivatives and Rates of Change | Applications of Derivatives, Video | section2_7 |
| 2.8 | The Derivative as a Function | Video | section2_8 |
| 3.1 | Derivatives of Polynomials and Exponential Functions | Application: Curve Fitting | section3_1 |
| 3.2 | The Product and Quotient Rules | Video | section3_2 |
| 3.3 | Derivatives of Trigonometric Functions | Video, Application: Small-Angle Approximation | section3_3 |
| 3.4 | The Chain Rule | Video | section3_4 |
| 3.5 | Implicit Differentiation | Video, Application: Implicit Differentiation | section3_5 |
| Exam 1 (Sections 2.1-2.3, 2.5-2.8, 3.1-3.5) | Practice problems and solutions will be available under the Exam Info tab as the exam date approaches | ||
| 3.6 | Derivatives of Logarithmic Functions | Week 6 Worksheet | section3_6 |
| 3.8 | Exponential Growth and Decay | Application: Exponential Growth and Decay | section3_8 |
| 3.9 | Related Rates | Week 7 Worksheet | section3_9 |
| 3.10 | Linear Approximations and Differentials | section3_10 | |
| 4.1 | Maximum and Minimum Values | Video | section4_1 |
| 4.2 | Mean Value Theorem | Video | 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, Application: Optimization (part 1) Application: Optimization (part 2) | section4_7 |
| 4.8 | Newton’s Method | Application: Newton’s Method | section4_8 |
| 4.9 | Antiderivatives | Week 11 Worksheet | section4_9 |
| Exam 2 (Sections 3.6, 3.8-3.10, 4.1-4.4, 4.7-4.8) | Practice problems and solutions will be available under the Exam Info tab as the exam date approaches | ||
| 5.1 | Areas and Distances | Video, Riemann Sums Applet | section5_1 |
| 5.2 | The Definite Integral | Video, Application: Definite Integrals | section5_2 |
| 5.3 | The Fundamental Theorem of Calculus | Video | section5_3 |
| 5.4 | Indefinite Integrals and the Net Change Theorem | section5_4 | |
| 5.5 | The Substitution Rule | Video | section5_5 |
| 6.1 | Areas Between Curves | Video | section6_1 |
| 6.2 | Volumes | Video A, Video B | section6_2 |
| Final Exams week | Practice problems and solutions will be available under the Exam Info tab as the exam date approaches |