KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS
Department of Mathematical
SYLLABUS (101) (Semester 041)
Instructor: Dr.
Suliman AlHomidan Office:
5427
Title
Calculus I
Course #
Math 101
Email
homidan@kfupm.edu.sa
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
1115 
2.1 
Limits
(An Intuitive Approach) 
2 
Sept
1823* 
2.2 2.3 
Computing
Limits Computing
Limits (End Behavior) 
3 
Sept
2530** 
2.4 2.5 
Limits
(Discussed More Rigorously) Continuity 
4 
Oct
0206 
2.6 3.1 
Limits
and Continuity of Trigonometric Functions Slopes
and Rates of Change 
5 
Oct
0913 
3.2 
The
Derivative

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


6 
Oct
1620 
3.3 3.4 
Techniques
of Differentiation Derivatives
of Trigonometric Functions 
7 
Oct
2327 
3.5 3.6 
The
Chain Rule Implicit
Differentiation 
8 
Oct
30Nov 03 Eid
AlFitr Vacation

3.7 3.8 
Related
Rates Local
Linear Approximation; Differentials 
9 
Nov
2024 
4.1 4.2 
Inverse
Functions Exponential
and Logarithmic Functions 
10 
Nov
27Dec 01 
4.3 
Derivatives
of Logarithmic and Exponential Functions 
Second
Major in Wednesday, December 1, 2004
at the Class 

11 
Dec
0408 
4.4 4.5 
Inverse
Trigonometric Functions and Their Derivatives L’Hopital’s
Rule; Indeterminate Forms 
12 
Dec
1115 
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
1822 
5.3 5.4 
Analysis
of Functions III: Applying Technology and the Tools of Calculus Rectilinear
Motion (Motion Along a Line) 
14 
Dec
2529 
5.5 5.6 
Absolute
Maxima and Minima Applied
Maximum and Minimum Problems (Optimization) 
15 
Jan
0103 
5.7 5.8 
Newton’s
Method Rolle’s
Theorem; MeanValue 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.
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. 