KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS

Department of Mathematical

SYLLABUS (101) (Semester 041)

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

Title                                  Calculus I                                                      Course #      Math 101

E-mail

Course homepage:           http://faculty.kfupm.edu.sa/MATH/homidan/Cos_101_041.htm

Prerequisite                      Math 002

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

Week(s)

Dates

Sec.

Topics

1

Sept 11-15

2.1

Limits (An Intuitive Approach)

2

Sept 18-23*

2.2

2.3

Computing Limits

Computing Limits (End Behavior)

3

Sept 25-30**

2.4

2.5

Limits (Discussed More Rigorously)

Continuity

4

Oct 02-06

2.6

3.1

Limits and Continuity of Trigonometric Functions

Slopes and Rates of Change

5

Oct 09-13

3.2

# First Major in : Wednesday, October 13, 2004, at the Class

6

Oct 16-20

3.3

3.4

Techniques of Differentiation

Derivatives of Trigonometric Functions

7

Oct 23-27

3.5

3.6

The Chain Rule

Implicit Differentiation

8

Oct 30-Nov 03

## Eid Al-Fitr Vacation

3.7

3.8

Related Rates

Local Linear Approximation; Differentials

9

Nov 20-24

4.1

4.2

Inverse Functions

Exponential and Logarithmic Functions

10

Nov 27-Dec 01

4.3

Derivatives of Logarithmic and Exponential Functions

Second Major in Wednesday, December  1, 2004 at the Class

11

Dec 04-08

4.4

4.5

Inverse Trigonometric Functions and Their Derivatives

L’Hopital’s Rule; Indeterminate Forms

12

Dec 11-15

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 18-22

5.3

5.4

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

Rectilinear Motion (Motion Along a Line)

14

Dec 25-29

5.5

5.6

Absolute Maxima and Minima

Applied Maximum and Minimum Problems (Optimization)

15

Jan 01-03

5.7

5.8

Newton’s Method

Rolle’s Theorem; Mean-Value Theorem

*  Thursday, Sept 23 : Normal Tuesday Classes. ** Thursday, Sept 30 : Normal Wednesday Classes.

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

#### Homework and Recitation Problems and CAS Assignments

Secs.

Homework Problems

*CAS Assignments

Recitation Problems

2.1

2, 10, 14, 15, 31

29

6, 12, 13, 32,

2.2

2, 7, 10, 15, 20, 36, 38

---

1, 3, 8, 16, 17, 34, 40

2.3

16, 18, 26, 27, 32

---

2, 6, 8, 11, 20, 29, 31

2.4

11, 21, 48

---

12, 22, 72

2.5

20, 22, 24, 27, 29, 43

31

19, 23, 26, 30, 42

2.6

9, 10, 23, 24, 26, 30, 35, 40

### Example # 3(a,b)

2, 8, 14, 18, 21, 28, 42

3.1

1, 8, 11, 18

---

2, 6, 13, 20

3.2

1, 3, 10, 16, 25, 28, 45, 46

31

2, 4, 5, 11, 14, 23, 41, 43, 47

3.3

6, 8, 12, 18, 20, 22, 40, 44, 51, 61

56

14, 24, 26, 43, 49, 60, 65

3.4

6, 17, 22, 25(b), 27(a), 37(i)

---

8, 10, 23, 29(b), 37(g)

3.5

4, 10, 22, 32, 43, 55, 72

41, 42

2, 13, 16, 25, 38, 47, 54, 70

3.6

12, 22, 25, 28, 30, 36, 47

33, 35

19, 24, 31, 40, 46

3.7

3, 8, 10, 13, 14, 25, 29, 40

---

12, 17, 26, 32, 37

3.8

2, 5, 10, 21, 27, 28, 37, 41, 53,

---

4, 6, 19, 23, 30, 42, 54

4.1

1(a,b), 8, 12, 16, 18, 26, 46

---

5, 11, 24, 40, 45

4.2

6, 18, 21, 22, 30, 34, 57

38, 39

12, 15, 16, 24, 33, 35, 58

4.3

7, 14, 18, 29, 31, 34, 35, 42, 45, 48, 50, 57

---

3, 4, 8, 30, 32, 33, 38, 40, 47

4.4

8, 11, 12, 27, 29, 32

--

2, 5, 7, 13, 24, 28, 31

4.5

1, 8, 11, 18, 27, 32, 33, 49, 51

42, 47

2, 12, 16, 23, 35, 39, 40

5.1

4, 7, 15, 18, 22, 26

42

2, 6, 8, 17, 25, 35

5.2

8, 9, 19, 22, 34, 36, 53

54

5, 12, 15, 17, 23, 32, 36

5.3

3, 14, 23, 34, 44, 53, 58, 67

---

4, 18, 24, 38, 50, 68

5.4

2, 3, 12, 20

---

4, 14, 18, 38

5.5

7, 12, 21, 25, 38, 43

---

5, 14, 20,. 31, 41

5.6

3, 4, 6, 9, 22, 29, 51

---

2, 8, 19, 49, 55

5.7

3, 6, 27, 31

20

2, 4, 8, 24

5.8

7, 8, 13, 20, 26, 37, 46

---

6, 16, 31, 38

 * Computer Algebra Systems (CAS): Mathematica, Matlab, Maple, …, etc. See Section 1.3 of the textbook for details. Also refer to pages vii and xi for details about the Calculus Resource CD packaged with the textbook.