Tentative Outline for Math 1131 – Fall 2017
| Week |
Date |
Section |
Topic |
| 1 |
8/27 |
|
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 |
9/3 |
|
Labor Day |
|
|
2.4 |
The Precise Definition of a Limit |
|
|
2.5 |
Continuity |
|
|
2.6 |
Limits at Infinity; Horizontal Asymptotes |
| 3 |
9/10 |
2.7 |
Derivatives and Rates of Change |
|
|
2.8 |
The Derivative as a Function |
|
|
3.1 |
Derivatives of Polynomials and Exponential Functions |
| 4 |
9/17 |
|
Midterm 1 Practice Exam (Actual Exam in Discussion) |
|
|
3.2 |
The Product and Quotient Rules |
| 5 |
9/24 |
3.3 |
Derivatives of Trigonometric Functions |
|
|
3.4 |
The Chain Rule |
|
|
3.5 |
Implicit Differentiation |
| 6 |
10/1 |
3.6 |
Derivatives of Logarithmic Functions |
|
|
3.8 |
Exponential Growth and Decay |
| 7 |
10/8 |
3.9 |
Related Rates |
|
|
3.10 |
Linear Approximations and Differentials |
|
|
4.8 |
Newton’s Method |
| 8 |
10/15 |
|
Midterm 2 Practice Exam (Actual Exam in Discussion) |
|
|
4.1 |
Maximum and Minimum Values |
| 9 |
10/22 |
4.2 |
Mean Value Theorem |
|
|
4.3 |
How Derivatives Affect the Shape of a Graph |
|
|
4.4 |
Indeterminate Forms and l’Hospital’s Rule |
| 10 |
10/29 |
4.7 |
Optimization Problems |
|
|
4.9 |
Antiderivatives |
| 11 |
11/5 |
5.1 |
Areas and Distances |
|
|
5.2 |
The Definite Integral |
|
|
5.3 |
The Fundamental Theorem of Calculus |
| 12 |
11/12 |
|
Midterm 3 Practice Exam (Actual Exam in Discussion) |
|
|
5.4 |
Indefinite Integrals and the Net Change Theorem |
| 13 |
11/29 |
No class |
Thanksgiving Break |
| 14 |
11/26 |
5.5 |
The Substitution Rule |
|
|
6.1 |
Areas Between Curves |
| 15 |
12/3 |
6.2 |
Volumes |
|
|
|
Review |
| 16 |
12/10 |
|
Finals Week |