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. 29 

9/28 
1.1 
Four Ways to Represent a Function, pp. 1120 
10/1 
1.2 
Mathematical Models: A Catalog of Essential Functions, pp. 2434 
10/3 
1.3 
New Functions from Old Functions, pp. 3743 
10/5 
1.5 
Exponential Functions, pp. 5257 
10/8 
1.6 
Inverse Functions and Logarithms, pp. 5970 
10/10 
2.1 
The Tangent and Velocity Problems, pp. 8386 
10/12 
2.2 
The Limit of a Function, pp. 8896 
10/15 
2.3 
Calculating Limits Using the Limit Laws, pp. 99106 
10/17 
Review for Midterm #1 

10/19 
2.5 
Continuity, pp. 119127 
10/22 
2.6 
Limits at Infinity: Horizontal Asymptotes, pp. 130137 
10/24 
2.7 
Derivatives and Rates of Change, pp. 143150 
10/26 
2.8 
The Derivative as a Function, pp. 154161 
10/29 
3.1 
Derivatives of Polynomials and Exponential Functions, pp. 173180 
10/31 
3.2 
The Product and Quotient Rules, pp. 183187 
11/2 
3.3 
Derivatives of Trigonometric Functions, pp. 189195 
11/5 
3.4 
The Chain Rule, pp. 197203 
11/7 
Review for Midterm #2 

11/9 
3.5 
Implicit Differentiation, pp. 207213 
11/12 
3.6 
Derivatives of Logarithmic Functions, pp. 215220 
11/14 
3.9 
Related Rates, pp. 241245 
11/16 
3.10 
Linear Approximations and Differentials, pp. 247251 
11/19 
4.1 
Maximum and Minimum Values, pp. 271276 
11/26 
4.3 
How Derivatives Affect the Shape of a Graph, pp. 287294 
11/28 
4.4 
Indeterminate Forms and L'Hospital's Rule, pp. 298304 
11/30 
4.7 
Optimization Problems, pp. 322327 
12/3 
4.8 
Newton's Method, pp. 334338 