SYLLABUS

Course #:

Title:

Calculus I

Textbook:

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

Objectives:

 To introduce the student to basic concepts and methods of Calculus.  Topics  include: Limits and continuity. The Derivative. Exponential, logarithmic and inverse trigonometric functions. Applications: Related rates, Local linear approximation, Differentials, Graphing and Applied optimization problems.

Weeks

Dates

Secs.

Topics

1

Sept 10-14

2.1

Limits (An Intuitive Approach)

2

Sept 17-21

2.3

Computing Limits (End Behavior)

3

Sept 25*-28

2.5

Continuity

4

Oct 01-05

3.1

Slopes and Rates of Change

5

Oct 08-12

3.2

6

Oct 15-19

3.4

Derivatives of Trigonometric Functions

7

Oct 22-26

3.6

Implicit Differentiation

8

Nov 12-16

3.8

Local Linear Approximation; Differentials

9

Nov 19-23

4.2

Exponential and Logarithmic Functions

10

Nov 26-30

4.3

Derivatives of Logarithmic and Exponential Functions

Suggested Date for Major Exam II: Tuesday, December 06, 2005.

11

Dec 03-07

4.5

L’Hopital’s Rule; Indeterminate Forms

12

Dec 10-14

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

13

Dec 17-21

5.4

Rectilinear Motion (Motion Along a Line)

14

Dec 24-28

5.6

Applied Maximum and Minimum Problems (Optimization)

15

Dec 31-Jan 04

5.8

Rolle’s Theorem; Mean-Value Theorem

Eid Al-Adha Vacation

 16

 Jan 21

    Review

§      

The Suggested dates for Major Exams I and II are set by the College of Sciences to avoid  conflicts with other exams.

§      

The date, time and the place of the Final Examination will be announced by the Registrar.  The Final Exam is Comprehensive.

§      

Attendance is compulsory. KFUPM policy with respect to attendance will be strictly enforced.

§      

For details about Homework and Recitation Problems and CAS Assignments, see the following page.

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

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, 21, 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.