King Fahd University
of Petroleum and Minerals
Department of Mathematical Science
Semester I, 20012002(011)
(Coordinator: Dr. A. Shawky Ibrahim)
(Instructor: Dr. Faisal Fairag)
Course #: 
Math
101

Title: 
Calculus I 
Textbook: 
Calculus, A
New Horizon by Howard Anton, sixth edition (1999). 
Objectives: 
The aim of
this course, the first course in the calculus sequence, is to introduce the
student to the basic concepts and methods in calculus. Topics covered include: limits and
continuity of functions of one variable, differentiation, extrema of a
function, Newton’s law, Mean Value Theorem and applications. 
Week(s) 
Dates 
Sec. 
Topics 

1and 2 
Sept. 2 – 12 
2.1 2.2 2.3 
Limits (An
intuitive Introduction) Limits
(Computational Techniques) Limits
(Discussed more rigorously) 

3 
Sept 15 – 19 
2.4 2.5 
Continuity Limits and
Continuity of Trigonometric Functions 

4 
Sept 22 – 26 
3.1 3.2 
Tangent
Lines and Rates of Change The
Derivative 

5 
Sept. 29 –
Oct 3 
3.3 3.4 
Techniques
of Differentiation Derivatives
of Trigonometric Functions 

Ï Ï

TUESDAY, OCTOBER 2, TIME FOR MAJOR EXAM I6:00 pm Building
# 6 Room 125 

6 
Oct. 6 – 10 
3.5 3.6 
The Chain
Rule Local Linear
Approximation; Differentials 

7 
Oct. 13 – 17 
4.1 4.2 
Inverse
Functions Logarithmic
and Exponential Functions 

8 
Oct. 20 – 24 
4.3 4.4 
Implicit
Differentiation Derivatives
of Logarithmic and Exponential Functions 

9 
Oct. 27 – 31 
4.5 4.6 
Derivatives
of Inverse Trigonometric Functions Related
Rates 

10 
Nov. 3 – 7 
4.7 
L’Hopital’s
Rule; Indeterminate Forms 

Ï Ï

SATURDAY, NOVEMBER 10, TIME FOR MAJOR EXAM II5:30 pm Building
# 6 Room 125 

11, 12 
Nov. 11 – 21 
5.1 5.2 5.3 6.1 
Increasing,
Decreasing, and Concavity Relative
Extrema; First and Second Derivative Tests Applying
Technology and the Tools of Calculus Absolute
Maxima and Minima 

13, 14, 15 
Nov. 24 –
Dec. 9 
6.2 6.3 6.4 6.5 
Applied
Maximum and Minimum Problems Rectilinear
Motion Newton’s
Method Rolle’s
Theorem; MeanValue Theorem 

EID ALFITR VACATION FROM MONDAY DECEMBER 10 TO FRIADY DECEMBER 28 

16 
Dec. 29 –
Jan. 2 

Review and Catching up 
