(Coordinator: Dr. A. Shawky Ibrahim)
Homework  Quizes  Quiz1  Solutions for first major  GRADES  FINAL GRADES 
Syllabus
Limits and continuity of functions of a single variable. Differentiability. Techniques of differentiation. Implicit differentiation. Local extrema, first and second derivative tests for local extrema. Concavity and inflection points. Curve sketching. Applied extrema problems. The Mean Value Theorem and applications.
Prerequisite:
One year preparatory mathematics or its equivalent
Textbook: Calculus, A New Horizon by Howard Anton, sixth edition (1999).
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 

Wensday, OCTOBER 3, TIME FOR MAJOR EXAM I 

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 

SATURDAY, NOVEMBER 10, TIME FOR MAJOR EXAM II 

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 
