King Fahd University of Petroleum and Minerals
Department of Mathematical Science
Semester I, 20052006 (051)
(Dr. M. Sarhan)
Course #: 
Math 101 
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 1014 
2.1 
Limits (An Intuitive Approach) 

2 
Sept 1721 
2.2 2.3 
Computing Limits Computing Limits (End Behavior) 

3 
Sept 25*28 
2.4 2.5 
Limits (Discussed More Rigorously) Continuity 

4 
Oct 0105 
2.6 3.1 
Limits and Continuity of Trigonometric Functions Slopes and Rates of Change 

5 
Oct 0812 
3.2 
The Derivative 


Suggested Date for Major Exam I: Sunday, October 09, 2005. 

6 
Oct 1519 
3.3 3.4 
Techniques of Differentiation Derivatives of Trigonometric Functions 

7 
Oct 2226 
3.5 3.6 
The Chain Rule Implicit Differentiation 

Eid AlFitr Vacation 

8 
Nov 1216 
3.7 3.8 
Related Rates Local Linear Approximation; Differentials 

9 
Nov 1923 
4.1 4.2 
Inverse Functions Exponential and Logarithmic Functions 

10 
Nov 2630 
4.3 
Derivatives of Logarithmic and Exponential Functions 


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

11 
Dec 0307 
4.4 4.5 
Inverse Trigonometric Functions and Their Derivatives L’Hopital’s Rule; Indeterminate Forms 

12 
Dec 1014 
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 1721 
5.3
5.4 
Analysis of Functions III: Applying Technology and the Tools of Calculus Rectilinear Motion (Motion Along a Line) 

14 
Dec 2428 
5.5 5.6 
Absolute Maxima and Minima Applied Maximum and Minimum Problems (Optimization) 

15 
Dec 31Jan 04 
5.7 5.8 
Newton’s Method Rolle’s Theorem; MeanValue Theorem 

Eid AlAdha Vacation 

16 
Jan 21 

Review 

* Saturday, Sept 24 : National Day Break.
§ 
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. 
King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Math 101 – Semester (051)
(Dr. M. Sarhan)
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, 21, 27, 31 
20 
2, 4, 8, 24 
5.8 
7, 8, 13, 20, 26, 37, 46 
 
6, 16, 31, 38 
§ Homework and recitation problems may be extended or adjusted by the instructor as appropriate. CAS assignments are at the discretion of the instructor. In any case, the students are strongly urged to solve much more problems than indicated here.
* 
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. 
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