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

Review for final exam