King Fahd University of Petroleum and Minerals

Department of Mathematical Science

# SYLLABUS

Semester I, 2001-2002(011)

(Coordinator: Dr. A. Shawky Ibrahim)

(Instructor: Dr. Faisal Fairag)

Course #:

## Math 101

Title:

Calculus I

Textbook:

Calculus, A New Horizon by Howard Anton, sixth edition (1999).

Objectives:

The aim of this course, the first course in the calculus sequence, is to introduce the student to the basic concepts and methods in calculus.  Topics covered include: limits and continuity of functions of one variable, differentiation, extrema of a function, Newton’s law, Mean Value Theorem and applications.

Week(s)

Dates

Sec.

Topics

1and 2

Sept. 2 – 12

2.1

2.2

2.3

Limits (An intuitive Introduction)

Limits (Computational Techniques)

Limits (Discussed more rigorously)

3

Sept 15 – 19

2.4

2.5

Continuity

Limits and Continuity of Trigonometric Functions

4

Sept 22 – 26

3.1

3.2

Tangent Lines and Rates of Change

The Derivative

5

Sept. 29 – Oct 3

3.3

3.4

Techniques of Differentiation

Derivatives of Trigonometric Functions

# TUESDAY, OCTOBER 2, TIME FOR MAJOR EXAM I

6:00 pm Building # 6 Room 125

6

Oct. 6 – 10

3.5

3.6

The Chain Rule

Local Linear Approximation; Differentials

7

Oct. 13 – 17

4.1

4.2

Inverse Functions

Logarithmic and Exponential Functions

8

Oct. 20 – 24

4.3

4.4

Implicit Differentiation

Derivatives of Logarithmic and Exponential Functions

9

Oct. 27 – 31

4.5

4.6

Derivatives of Inverse Trigonometric Functions

Related Rates

10

Nov. 3 – 7

4.7

L’Hopital’s Rule; Indeterminate Forms

# SATURDAY, NOVEMBER 10, TIME FOR MAJOR EXAM II

5:30 pm Building # 6 Room 125

11, 12

Nov. 11 – 21

5.1

5.2

5.3

6.1

Increasing, Decreasing, and Concavity

Relative Extrema; First and Second Derivative Tests

Applying Technology and the Tools of Calculus

Absolute Maxima and Minima

13, 14, 15

Nov. 24 – Dec. 9

6.2

6.3

6.4

6.5

Applied Maximum and Minimum Problems

Rectilinear Motion

Newton’s Method

Rolle’s Theorem; Mean-Value Theorem

16

Dec. 29 – Jan. 2