Math 1: Fall
2007 Calculus with
Algebra and Trigonometry
This is a tentative schedule and may be changed as topics and times require.
|
Date |
Section |
Topic |
|---|---|---|
|
9/26 |
A Preview of Calculus, pp. 2-9 |
|
|
9/28 |
1.1 |
Four Ways to Represent a Function, pp. 11-20 |
|
10/1 |
1.2 |
Mathematical Models: A Catalog of Essential Functions, pp. 24-34 |
|
10/3 |
1.3 |
New Functions from Old Functions, pp. 37-43 |
|
10/5 |
1.5 |
Exponential Functions, pp. 52-57 |
|
10/8 |
1.6 |
Inverse Functions and Logarithms, pp. 59-70 |
|
10/10 |
2.1 |
The Tangent and Velocity Problems, pp. 83-86 |
|
10/12 |
2.2 |
The Limit of a Function, pp. 88-96 |
|
10/15 |
2.3 |
Calculating Limits Using the Limit Laws, pp. 99-106 |
|
10/17 |
Review for Midterm #1 |
|
|
10/19 |
2.5 |
Continuity, pp. 119-127 |
|
10/22 |
2.6 |
Limits at Infinity: Horizontal Asymptotes, pp. 130-137 |
|
10/24 |
2.7 |
Derivatives and Rates of Change, pp. 143-150 |
|
10/26 |
2.8 |
The Derivative as a Function, pp. 154-161 |
|
10/29 |
3.1 |
Derivatives of Polynomials and Exponential Functions, pp. 173-180 |
|
10/31 |
3.2 |
The Product and Quotient Rules, pp. 183-187 |
|
11/2 |
3.3 |
Derivatives of Trigonometric Functions, pp. 189-195 |
|
11/5 |
3.4 |
The Chain Rule, pp. 197-203 |
|
11/7 |
Review for Midterm #2 |
|
|
11/9 |
3.5 |
Implicit Differentiation, pp. 207-213 |
|
11/12 |
3.6 |
Derivatives of Logarithmic Functions, pp. 215-220 |
|
11/14 |
3.9 |
Related Rates, pp. 241-245 |
|
11/16 |
3.10 |
Linear Approximations and Differentials, pp. 247-251 |
|
11/19 |
4.1 |
Maximum and Minimum Values, pp. 271-276 |
|
11/26 |
4.3 |
How Derivatives Affect the Shape of a Graph, pp. 287-294 |
|
11/28 |
4.4 |
Indeterminate Forms and L'Hospital's Rule, pp. 298-304 |
|
11/30 |
4.7 |
Optimization Problems, pp. 322-327 |
|
12/3 |
4.8 |
Newton's Method, pp. 334-338 |