Outline for Math 1131 – Spring 2019 Online
Week
| Week | Date | Section | Topic |
|---|---|---|---|
| 1 | 1/22/19 | Administrative Information | |
| 2.1 | The Tangent and Velocity Problems | ||
| 2.2 | The Limit of a Function | ||
| 2.3 | Calculating Limits Using the Limit Laws | ||
| 2 | 1/28/19 | 2.4 | The Precise Definition of a Limit |
| 2.5 | Continuity | ||
| 2.6 | Limits at Infinity; Horizontal Asymptotes | ||
| 3 | 2/4/19 | 2.7 | Derivatives and Rates of Change |
| 2.8 | The Derivative as a Function | ||
| 3.1 | Derivatives of Polynomials and Exponential Functions | ||
| 4 | 2/13/19 | Exam 1 in-person (Wednesday) | |
| 2/14/19 | 3.2 | The Product and Quotient Rules | |
| 5 | 2/18/19 | 3.3 | Derivatives of Trigonometric Functions |
| 3.4 | The Chain Rule | ||
| 3.5 | Implicit Differentiation | ||
| 6 | 2/25/19 | 3.6 | Derivatives of Logarithmic Functions |
| 3.8 | Exponential Growth and Decay | ||
| 7 | 3/4/19 | 3.9 | Related Rates |
| 3.10 | Linear Approximations and Differentials | ||
| 4.8 | Newton’s Method | ||
| 8 | 3/13/19 | Exam 2 in-person (Wednesday) | |
| 3/14/19 | 4.1 | Maximum and Minimum Values | |
| 9 | 3/18/19 | Spring Break | |
| 10 | 3/25/19 | 4.2 | Mean Value Theorem |
| 4.3 | How Derivatives Affect the Shape of a Graph | ||
| 4.4 | Indeterminate Forms and l’Hospital’s Rule | ||
| 11 | 4/1/19 | 4.7 | Optimization Problems |
| 4.9 | Antiderivatives | ||
| 12 | 4/8/19 | 5.1 | Areas and Distances |
| 5.2 | The Definite Integral | ||
| 5.3 | The Fundamental Theorem of Calculus | ||
| 13 | 4/17/19 | Exam 3 in-person (Wednesday) | |
| 4/18/19 | 5.4 | Indefinite Integrals and the Net Change Theorem | |
| 14 | 4/22/19 | 5.5 | The Substitution Rule |
| 6.1 | Areas Between Curves | ||
| 15 | 4/29/19 | 6.2 | Volumes |
| Review | |||
| 16 | 5/6/19 | In person cumulative final exam.TBA |