KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS

Department of Mathematical

SYLLABUS (101) (Semester 1, 2002-2003)

Instructor:                        Dr. Suliman Al-Homidan                                Office:          5-427

Title                                  Calculus I                                                      Course #      Math 101

E-mail                                homidan@kfupm.edu.sa

Course homepage:           http://users.kfupm.edu.sa/MATH/homidan/Cos_101_021.htm

Prerequisite                      Math 002

Textbook                          Calculus, Early Transcendentals by Anton, Bivens and Davis seventh edition (2002).

Week(s)

Dates

Sec.

Topics

1

 Sept. 14 – 18

 

2.1

2.2

Limits (Tentative Approach)

Computing Limits 

2

Sept. 21 – 25

 

2.3

2.4

Computing Limits  (End Behavior)

Limits (Discussed more rigorously)

3

Sept. 28 – Oct.2

 

2.5

2.6

Continuity 

Limits and Continuity of Trigonometric Functions

4

Oct.5-9

3.1

3.2

Slopes and Rates of Change

The Derivative

First Major in October 14,  2002  6:00-7:30 p.m. Room 203 Bl. 5

5

Oct.12-16

3.3

3.4

Techniques of Differentiation

Derivatives of Trigonometric Functions

6

Oct.19-23

3.5

3.6

The Chain Rule

Implicit Differentiation

7

Oct.26-30

3.7

3.8

Related Rates

Local Linear Approximation; Differentials

8

Nov.2-6

4.1

4.2

4.3

Inverse Functions

Exponential and Logarithmic Functions

Derivatives of Logarithmic and Exponential Functions

Ramadan classes starts November 6, 2002 40 minutes a class

9

Nov.9-13

4.4

Inverse Trigonometric Functions and Their Derivatives

Second Major in November 18,  2002  8:30-10:00 p.m. Room 203 Bl. 5

10

Nov.16-20

4.5

L’Hopital’s Rule; Indeterminate Forms

Eid Al-Fitr Vacation Sat. November 23 to Wed. December 11.

11

Dec. 14-18

5.1

5.2

Increasing, Decreasing, and Concavity

Relative Extrema; First and Second Derivative Tests

12

Dec. 21-25

5.3

5.4

Applying Technology and the Tools of Calculus

Rectilinear Motion

13

Dec. 28- Jan. 1

5.5

5.6

Absolute Maxima and Minima

Applied Maximum and Minimum Problems

14

Jan 4-8

5.7

5.8

Newton’s Method

Rolle’s Theorem; Mean-Value Theorem

15

Jan 11-15

 

Review 

     Grading Policy: First Major 20 points, Second Major 20 points, Homework 5 points, Quizzes and Matlab quiz 20 points, Final 35 points