King Fahd University of Petroleum and Minerals

Department of Mathematics & Statistics

Math 101 – Syllabus

2010-2011 (101)

Coordinator: Dr. A. Shawky Ibrahim

Title:                Calculus I

Credit: 4-0-4

Textbook:       Calculus (Early Transcendentals), by J. Stewart, 6th edition, Brooks/Cole, 2008.

Objectives:     To introduce the student to basic concepts and methods of Calculus. Topics include: Limits and continuity of functions of a single variable. Differentiability. Exponential, Logarithmic, Hyperbolic, trigonometric and inverse trigonometric functions. Applications: Related rates, Local linear approximation, Differentials, Curve sketching and Applied optimization problems.

1. Exam I: 25% (100 points) (Tuesday Nov.02, 2010). A common written exam. Material: Chapter 2.
2. Exam II: 25 % (100 points) (Tentative) (Tuesday Dec.28, 2010). A common multiple choice exam. Material: 3.1 – 4.3.
3. Class Work: 15% (60 points). It is based on quizzes (around 5 quizzes), homework, or other class activities determined by the instructor. Any quiz or test under class activity should be of written type and not of multiple choice types.
4. Final Exam: 35% (140 points), a comprehensive common multiple choice exam.  (Sunday January 23, 2011 at 7:30 AM).

Class Work Average. The average (x out of 60) of the Class Work of the sections taught by the same instructor should be in the interval [36, 45].

Exam Questions: The questions of the common exams are based on the examples, homework problems, recitation problems and the exercises of the textbook.

Missing one of the Two Common Major Exams I or II:  No makeup exam will be given under any circumstance. When a student misses Exam I or Exam II for a legitimate reason (such as medical emergencies), his grade for this exam will be determined based on the existing formula which depends on his performance in the non-missing exam and in the final exam.

Attendance: Attendance is a University Requirement (see p. 38 of the Undergraduate Bulletin 2006-2009). A DN grade will be awarded to any student who accumulates 12 unexcused absences (lecture and recitation).

Academic Integrity: All KFUPM policies regarding ethics apply to this course.

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Math 101 Syllabus

2010-2011 (101)

Calculus (Early Transcendentals), by J. Stewart, 6th edition, Brooks/Cole, 2008.

Coordinator: Dr. A. Shawky Ibrahim

Week

Date

Sec.

Topics

1

Sept 25-29

2.1

2.2

The Tangent Problem: Example 1.

The Limit of a Function

2

Oct 2-6

2.3

2.4

Calculating  Limits Using the Limit Laws

The Precise Definition of a Limit: Examples 1, and 2 (see Homework and Recitation Problems)

3

Oct 9-13

2.5

2.6

Continuity

Limits at Infinity; Horizontal Asymptotes (up to the end of p. 137)

4

Oct 16-20

2.7

2.8

Derivative and Rates of Change

The Derivative as a Function

5

Oct 23-27

2.8

3.1

Continued

Derivatives of Polynomials and Exponential Functions

Major Exam I, Tuesday, November 2, 2010, Material: Chapter 2 (Written)

6

Oct 30-Nov 3

3.2

3.3

The Product and Quotient Rules

Derivatives of Trigonometric Functions

7

Nov 6-10

3.4

3.5

The Chain Rule

Implicit Differentiation

ID-Al-ADHA Break: Thursday, Nov. 11 to the End of Sunday, Nov. 21, 2010

# 8

Nov 22-24

3.6

Derivatives of Logarithmic Functions

9

Nov 27-Dec 1

3.7

3.9

Rates of Change (Example 1 only)

Related Rates

10

Dec 4-8

3.10

3.11

Linear Approximations and Differentials Hyperbolic Function

11

Dec 11-15

4.1

4.2

Maximum and Minimum Values

The Mean Value Theorem

12

Dec 18-22

4.3

4.4

How Derivatives Affect the Shape of a Graph

Indeterminate Forms and L’Hospital’s Rule

# Major Exam II (Tentative) Tuesday, December 28, 2010, Material: [3.1 to 4.3] (MCQ)

13

Dec 25-29

4.4

4.5

Continued

Summary of Curve Sketching

14

Jan 1-5

4.7

4.8

Optimization Problems

Newton’s Method

15

Jan 8-12

4.9

Antiderivatives

+ Catching up

16

Jan 15-16

Review

Final Exam :Sunday January 23, 2011 (7:30 AM) A Comprehensive (MCQ),

Math 101 (101)

Suggested Homework and Recitation Problems

 Section Homework Recitation CAS* 2.1 3, 5 2.2 2, 6, 9, 14, 14, 29, 30 4, 16, 28, 32 - 2.3 2, 4, 9, 20, 23, 26, 37, 44, 48, 49, 55 10, 15, 29, 38, 51, 56 - 2.4 3, 4, 18, 20 1, 2, 16, 21 - 2.5 4, 10, 14, 16, 20, 26, 34, 39, 42, 43(a,c), 48 3, 12, 19, 27, 43(b), 50 30 2.6 4, 9, 18, 24, 26, 33, 36, 42, 47, 50 3, 7, 23, 441, 49 - 2.7 3, 19(a,b), 15, 19, 23(a), 29, 34, 38 11, 12, 17, 20, 31 - 2.8 4, 25, 36, 41, 45, 49, 52, 54 3, 12, 43, 48, 53 30 3.1 10, 24, 32, 35, 46, 51, 58, 60, 62(b), 70, 73 23, 30, 50,(a,b), 68, 75 48 3.2 10, 24, 28, 34, 44(b,c), 48(b), 55, 58 20, 30, 47, 50© 40 3.3 4, 16, 18, 22, 30, 34, 41, 48, 51 19, 31, 42, 45 - 3.4 19, 36, 39, 46, 50, 53, 61, 71, 75 65, 74, 76 - 3.5 10, 19, 26, 35, 46, 53, 67(a,b) 34, 47, 65, 68 - 3.6 4, 11, 16, 22, 25, 30, 33, 38, 46, 50, 52 16, 32, 42, 53 - 3.7 1, 7 4, 5 - 3.9 4, 10, 12, 13, 15, 29, 35 5, 9, 41 - 3.10 4, 9, 11(b), 16, 20, 25, 34 2, 10, 24, 35 5 3.11 3(a), 4(b), 10, 13, 19, 20, 23(a,e), 30, 40, 42 1(b), 6(b), 17, 21, 37, 45 - 4.1 4, 8, 10, 22, 33, 39, 42, 50, 58, 68(b) 14, 28, 44, 74 - 4.2 4, 6, 12, 14, 18, 24 2, 5, 16, 20, 30 - 4.3 2, 6, 8, 14, 16, 20, 25, 37, 46, 49 35, 40, 47, 50 56 4.4 2, 4, 12, 22, 28, 31, 35, 45, 47, 60, 64 13, 30, 44, 52, 53 - 4.5 6, 10, 26, 34, 37, 50, 58, 65 18, 36, 67, 70 - 4.7 6, 11, 14, 19, 25, 27, 33, 35, 39, 50 12, 24, 46, 52 - 4.8 2, 6, 8, 12 1, 7, 11 - 4.9 12, 16, 32, 33, 42, 44, 50, 61 5, 17, 36, 49, 62 -

*          CAS problems require the use of a technology tool (e.g., graphing calculators or computers). You are encouraged to do these problems in order to enhance your understanding of the concepts involved.

Tips on how to enhance your problem-solving abilities:

1.        Do all the homework assignments on time.

2.       You are urged to practice (but not memorize) more problems than the above lists.

3.       You should always try to solve a problem on your own before reading the solution or asking for help.

4.       If you find it difficult to handle a certain type of problems, you should try more problems of that type.

5.       You should try the recitation problems before coming to class.

6.       You are encouraged to solve some of the review problems at the end of each chapter.

7.       The practice you get doing homework and reviewing the class lectures and recitations will make exam problems easier to tackle.

8.      Try to make good use of the office hours of your instructor.

Instructor: Dr. Faisal Abdul-Karim Fairag   Ï. ÝíÕá ÚÈÏ ÇáßÑíã ÝíÑÞ

Office 5-432

Phone 860-4463

e-mail

Math-101 Homepage http://faculty.kfupm.edu.sa/MATH/ffairag/math101_101/index.htm

 Office Hours Grading Policy: MON 10:00- 10:40AM Exam-I 25% 100 TUS 12:10- 1:00  PM Exam-II 25% 100 or by appointment Final exam 35% 140 Class Work: ·        8- 15 Quizzes ·        HW ·        Attendance 15% 60 10% 40 3% 12 2% 8 Total 100% J

*-1 for each unexcused absence

* -1 for each unsubmitted homework.

* Homework are due Monday.

*Important Note: No makeup exam (see the date and time in the syllabus)

Quizzes:

þ     There will be 8 to 15 quizzes as we move along the material.

þ     Quizzes can be in class; in recitation; or online. Quizzes can be individual or in a group.

þ     Quizzes are good diagnose for your understanding of the material; they help you to study a bit by bit and be prepared for exams; they also make you familiar with exam questions.

þ     Study well for the quizzes and put a lot of effort in preparation. Believe me this will guarantee your excellence the course.

þ     Sorry NO make up for the quizzes what ever is the reason.

It is a pleasure having you in my class

Best wishes J