Week 
Section 
Title 
Homework 
1 
1.1 
Four Ways to Represent a Function 
ex. 5 – 8, 29 – 33 

1.2 
A Catalog of Essential Functions 
ex. 1, 2 

1.3 
New Functions from Old Functions 
ex. 1, 2, 3 
2 
2.1 
The Tangent and Velocity Problems 
ex. 5, 6, 7 

2.2 
The Limit of a Function 
ex. 3, 4, 5, 6, 13, 14, 15, 16 
3 
2.3 
Calculating Limits Using the Limit Laws 
ex. 1, 2, 9 – 24 
4 
2.5 
Limits Involving Infinity 
ex. 3, 4, 5, 7, 15, 16, 17, 19, 20, 22, 23, 24 

2.6 
Derivatives and Rates of Change 
ex. 5, 7, 9ab, 13, 15, 43ab, 45, 47 
5 
2.7 
The Derivative as a Function 
ex. 3, 4, 5, 6, 14, 15, 16 

3.1 
Derivatives of Polynomials and Exponential Functions 
ex. 3 – 28, 45, 49, 50, 
6 

Review for Exam 1 



Exam 1 

7 
3.2 
The Product and Quotient Rules 
ex. 3 – 15, 29, 30, 33a, , 35a, 39, 

3.3 
Derivatives of Trigonometric Functions 
ex. 1 – 14, 19 – 22, 23a, 25a, 27, 28, 31 
8 
3.4 
Chain Rule 
ex. 7 – 30, 37, 38 

3.5 
Implicit Differentiation 
ex. 3 – 16, 21 – 28 
9 
3.7 
Derivatives of Logarithmic Functions 
ex. 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14 

3.8 
Rates of Change in the Natural and Social Sciences 
ex. 1, 4, 7, 8, 9, 10, 11a, 12a, 13ab, 14, 15, 16ab 
10 
4.1 
Related Rates 
ex. 2 – 23 odd 
11 

Review for Exam 2 



Exam 2 

12 
4.2 
Minimum and Maximum Values 
ex. 3, 5, 23, 25, 27, 29, 41 – 51 odd 

4.3 
Derivatives and Shapes of Curves 
Ex. 7 – 16, 21 – 26 
13 
4.6 
Optimization Problems 
Ex. 5, 6, 9 – 12, 14, 15, 18, 23, 40 

4.8 
Antiderivatives 
ex. 1 – 16, 19 – 26 
14 
5.1 
Definite Integral 

15 

Review for final exam 
