King Fahd University of Petroleum and Minerals
Department of
Mathematical Science
Semester I,
20032004 (031)
(Prepared by Dr.
Nassereddine Tatar)
(Instructor: Dr.
Faisal A. Fairag)
Course
#: 
Math 101

Title: 
Calculus I 
Textbook: 
Calculus (Early Transcendentals) by
H. Anton, I. Bivens, and 
Objectives: 
Introduce the student to the basic concepts
and methods in calculus. Topics
covered include: Limits and continuity, the derivative, exponential,
logarithmic and inverse trigonometric functions; applications of the
derivative in related rates, local linear approximation, differentials,
graphing and optimization problems. 
Week(s) 
Dates 
Sec. 
Topics 
1 
Sept 1317 
2.1 
Limits (Tentative Approach) 
2 
Sept 2024 
2.2 2.3 
Computing Limits Computing Limits (End Behavior) 
3 
Sept 27Oct 01 
2.4 2.5 
Limits (Discussed more rigorously) Continuity 
4 
Oct 0408 
2.6 3.1 
Limits and Continuity of
Trigonometric Functions Slopes and Rates of Change 
5 
Oct 1115 
3.2 
The Derivative




6 
Oct 1822 
3.3 3.4 
Techniques of Differentiation Derivatives of Trigonometric
Functions 
7 
Oct 2529 
3.5 3.6 
The Chain Rule Implicit Differentiation 
8 
Nov 0105 
3.7 3.8 
Related Rates Local Linear Approximations,
Differentials 
9 
Nov 0812 
4.1 4.2 
Inverse Functions Exponential and Logarithmic Functions 
10 
Nov 30Dec 03 
4.3 
Derivatives of Logarithmic and Exponential
Functions 



11 
Dec 0610 
4.4 4.5 
Inverse Trigonometric Functions and
Their Derivatives L’Hopital’s Rule; Indeterminate Forms 
12 
Dec 1317 
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 2024 
5.3 5.4 
Analysis of Functions III: Applying
Technology and the Tools of Calculus Rectilinear Motion 
14 
Dec 2731 
5.5 5.6 
Absolute Maxima and Minima Applied Maximum and Minimum Problems 
15 
Jan 0307 
5.7 5.8 
Rolle’s Theorem; Meanvalue Theorem 
King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Math 101, Semester 031
Sec. 
Suggested Homework Problems 
Suggested Recitation Problems 
2.1 
2, 12, 14, 18, 32 
6, 10, 16 
2.2 
6, 18, 20, 36, 38 
2, 8, 14, 22, 34 
2.3 
12, 20, 26, 32 
8, 18, 30, 34 
2.4 
12, 29, 42, 60 
4, 10, 16, 26, 38, 50, 56 
2.5 
19, 24, 25, 28, 30, 43 
11, 18, 22, 42 
2.6 
6, 8, 24, 32, 40 
4, 10, 18, 28, 46 
3.1 
6, 10, 12, 20 
2, 8, 14, 18 
3.2 
1, 11, 26, 42, 46 
2, 12, 23, 45 
3.3 
11, 18, 22, 36, 40, 44, 61 
22, 28, 44, 52, 58 
3.4 
8, 17, 27(b), 37(g) (h) 
10, 27(a), 37(a) (f) (i) 
3.5 
4, 26, 40, 65, 71 
2, 20, 34, 45, 70 
3.6 
12, 20, 36, 47 
14, 26, 28, 42, 46 
3.7 
8, 13, 25, 38 
7, 10, 14, 29, 40 
3.8 
4, 7, 27, 44, 54 
3, 8, 18, 24, 36, 51 
4.1 
8, 12, 16, 46 
5(c) (f), 18, 34, 48 
4.2 
6, 12, 14, 24, 30, 36, 58 
5, 10, 15, 20, 28, 35 
4.3 
8, 26, 30, 40, 45, 50(a) 
16, 32, 42, 44 ,50(b) 
4.4 
10, 12(b) (c), 24, 28 
4, 8, 12(a) (d), 26 
4.5 
18, 24, 36, 49 
2, 12, 16, 32, 60 
5.1 
2, 14, 22, 26 
6, 18, 34, 62 
5.2 
8, 20, 36, 38 
6, 10, 16, 18, 57 
5.3 
4, 18, 24, 42, 44, 52, 58, 68 
7, 14, 25, 40, 50, 56, 72 
5.4 
2, 12, 20 
3,14,22,38 
5.5 
6, 12, 20, 30, 36, 38 
10, 14, 22, 37, 42, 43 
5.6 
2, 12, 29, 49 
10, 18, 28, 50, 54 
5.7 
6, 27, 31 
8, 24, 32 
5.8 
6, 16, 20, 31, 37, 46 
8, 12, 33, 38 
v The Suggested Homework and Recitation Problems are considered as a minimum set of problems. Students are encouraged to solve as many problems as they can from the list of the problems at the end of each required section.