King Fahd University of Petroleum & Minerals

Department of Mathematical Sciences

MATH 101 - HomePage

MATH 101 - Calculus I (4-0-4)

 Homework First Major Solution Quizzes # 1, 2,   3-7 Syllabus Second Major Solution Final Solution

Syllabus

## Catalog Description

Limits and continuity of functions of a single variable.  Differentiability. Techniques of differentiation.   Implicit differentiation.  Local extrema, first and second derivative tests for local extrema.  Concavity and inflection points.  Curve sketching.  Applied extrema problems.  The Mean Value Theorem and applications.

Prerequisite: One year preparatory mathematics or its equivalent

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

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.