Weeks

Dates

Secs.

Topics

1

Feb 12-16

2.1

2.2

Limits (An Intuitive Approach)

Computing Limits

2

Feb 19-23

2.3

2.4

Computing Limits (End Behavior)

Limits (Discussed More Rigorously)

3

Feb 26-Mar 02

2.5

2.6

Continuity

Limits and Continuity of Trigonometric Functions

4

Mar 05-09

3.1

3.2

Slopes and Rates of Change

The Derivative

5

Mar 12-16

3.3

3.4

Techniques of Differentiation

Derivatives of Trigonometric Functions

Major Exam I: Monday, March 14, 2005. 6-8 p.m. Room 5-203

6

Mar 19-23

3.5

3.6

The Chain Rule

Implicit Differentiation

7

Mar 26-30

3.7

3.8

Related Rates

Local Linear Approximation; Differentials

8

Apr 02-06

4.1

4.2

Inverse Functions

Exponential and Logarithmic Functions

Midterm Break

9

Apr 16-20

4.3

4.4

Derivatives of Logarithmic and Exponential Functions

Inverse  Trigonometric Functions and Their Derivatives

10

Apr 23-27

4.5

L’Hopital’s Rule; Indeterminate Forms

Major Exam II: Monday, April 25, 2005. 6-8 p.m. Room 5-203

11

Apr 30-May 04

5.1

5.2

Analysis of Functions I: Increase, Decrease and Concavity

Analysis of Functions II: Relative Extrema; First and Second Derivative Tests

12

May 07-11

5.3

Analysis of Functions III: Applying Technology and the Tools of Calculus

13

May 14-18

      5.4

5.5

Rectilinear Motion (Motion Along a Line)

Absolute Maxima and Minima

14

May 21-25

5.6

Applied Maximum and Minimum Problems

15

May 28-June 01

5.7

5.8

Newton’s Method

Rolle’s Theorem; Mean-Value Theorem