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 |
|