King Fahd University of Petroleum and Minerals

Department of Mathematical Science

†††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† SYLLABUS††††††††††††††††††††††††††††

Semester I, 2003-2004 (031)

(Prepared by Dr. Nasser-eddine Tatar)

 

(Instructor: Dr. Faisal A. Fairag)

 

Course #:

Math 101

Title:

Calculus I

Textbook:

Calculus (Early Transcendentals) by H. Anton, I. Bivens, and S. Davis, seventh edition (2002)

Objectives:

Introduce the student to the basic concepts and methods in calculus.Topics covered include: Limits and continuity, the derivative, exponential, logarithmic and inverse trigonometric functions; applications of the derivative in related rates, local linear approximation, differentials, graphing and optimization problems.

 

Week(s)

Dates

Sec.

Topics

1

Sept 13-17

2.1

Limits (Tentative Approach)

2

Sept 20-24

2.2

2.3

Computing Limits

Computing Limits (End Behavior)

3

Sept 27-Oct 01

2.4

2.5

Limits (Discussed more rigorously)

Continuity

4

Oct 04-08

2.6

3.1

Limits and Continuity of Trigonometric Functions

Slopes and Rates of Change

5

Oct 11-15

3.2

The Derivative

 

Mon. October 13, 2003: 6:00pm Major Exam I

6

Oct 18-22

3.3

3.4

Techniques of Differentiation

Derivatives of Trigonometric Functions

7

Oct 25-29

3.5

3.6

The Chain Rule

Implicit Differentiation

8

Nov 01-05

3.7

3.8

Related Rates

Local Linear Approximations, Differentials

9

Nov 08-12

4.1

4.2

Inverse Functions

Exponential and Logarithmic Functions

10

Nov 30-Dec 03

4.3

Derivatives of Logarithmic and Exponential Functions

 

Wed December 03, 2003: 5:30pm Major Exam II

11

Dec 06-10

4.4

4.5

Inverse Trigonometric Functions and Their Derivatives

LíHopitalís Rule; Indeterminate Forms

12

Dec 13-17

5.1

5.2

 

Analysis of Functions I: Increase, Decrease, and Concavity

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

13

Dec 20-24

5.3

 

5.4

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

Rectilinear Motion

14

Dec 27-31

5.5

5.6

Absolute Maxima and Minima

Applied Maximum and Minimum Problems

15

Jan 03-07

5.7

5.8

Newtonís Method

Rolleís Theorem; Mean-value Theorem

 

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King Fahd University of Petroleum and Minerals

Department of Mathematical Sciences

Math 101, Semester 031

Homework and Recitation Problems

 

 

Sec.

Suggested Homework Problems

Suggested Recitation Problems

2.1

2, 12, 14, 18, 32

6, 10, 16

2.2

6, 18, 20, 36, 38

2, 8, 14, 22, 34

2.3

12, 20, 26, 32

8, 18, 30, 34

2.4

12, 29, 42, 60

4, 10, 16, 26, 38, 50, 56

2.5

19, 24, 25, 28, 30, 43

11, 18, 22, 42

2.6

6, 8, 24, 32, 40

4, 10, 18, 28, 46

3.1

6, 10, 12, 20

2, 8, 14, 18

3.2

1, 11, 26, 42, 46

2, 12, 23, 45

3.3

11, 18, 22, 36, 40, 44, 61

22, 28, 44, 52, 58

3.4

8, 17, 27(b), 37(g) (h)

10, 27(a), 37(a) (f) (i)

3.5

4, 26, 40, 65, 71

2, 20, 34, 45, 70

3.6

12, 20, 36, 47

14, 26, 28, 42, 46

3.7

8, 13, 25, 38

7, 10, 14, 29, 40

3.8

4, 7, 27, 44, 54

3, 8, 18, 24, 36, 51

4.1

8, 12, 16, 46

5(c) (f), 18, 34, 48

4.2

6, 12, 14, 24, 30, 36, 58

5, 10, 15, 20, 28, 35

4.3

8, 26, 30, 40, 45, 50(a)

16, 32, 42, 44 ,50(b)

4.4

10, 12(b) (c), 24, 28

4, 8, 12(a) (d), 26

4.5

18, 24, 36, 49

2, 12, 16, 32, 60

5.1

2, 14, 22, 26

6, 18, 34, 62

5.2

8, 20, 36, 38

6, 10, 16, 18, 57

5.3

4, 18, 24, 42, 44, 52, 58, 68

7, 14, 25, 40, 50, 56, 72

5.4

2, 12, 20

3,14,22,38

5.5

6, 12, 20, 30, 36, 38

10, 14, 22, 37, 42, 43

5.6

2, 12, 29, 49

10, 18, 28, 50, 54

5.7

6, 27, 31

8, 24, 32

5.8

6, 16, 20, 31, 37, 46

8, 12, 33, 38

 

v     The Suggested Homework and Recitation Problems are considered as a minimum set of problems.Students are encouraged to solve as many problems as they can from the list of the problems at the end of each required section.