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CLASS WORK 1016 
First Major Solution 
Quizzes

Second Major Solution 
Final Solution 
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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
Math 101 Syllabus
20082009 (082)
Coordinator: Dr. Ibrahim AlRasasi
Week Date Sec. Topics (28 sections)
1 Feb. 1620 2.1
2.2
The Tangent Problem: Example1.
The Limit of a Function
2 Feb. 2327 2.3
2.4
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit: Examples 1,2, and 3
3 March 15 2.5
2.6
Continuity
Limits at Infinity; Horizontal Asymptotes
4 March 812 2.7
2.8
Tangents, Velocities, and Other Rates of Change
Derivatives
5 March 1519 2.9
3.1
The Derivative as a Function + Exercise # 46
Derivatives of Polynomials and Exponential Functions
Exam I: Monday, March 17, 2008.// Materials: 2.1 to 2.7 (A Written Exam)
6 March 2226 3.2
3.3
3.4
The Product and Quotient Rules
Rate of Change in Physics: Example 1.
Derivatives of Trigonometric Functions
7 March 29 April
2
3.4
3.5
Continued
The Chain Rule
8 April 59 3.6
3.7
Implicit Differentiation
Higher Derivatives
Midterm Break: April 1018, 2008.
9 April 1923 3.8
3.9
Derivatives of Logarithmic Functions
Hyperbolic Functions
10 April 2630 3.9
3.10
Hyperbolic Functions
Related Rates
Exam II: Monday, April 28, 2008 // Materials: 2.8 to 3.8 (An MCQ Exam)
11 May 37 3.11
4.1
Linear Approximations and Differentials
Maximum and Minimum Values
12 May 1014 4.1
4.2
Continued
The Mean Value Theorem
13 May 1721 4.3
4.4
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L’Hospital’s Rule
14 May 2428 4.5
4.7
Summary of Curve Sketching
Optimization Problems
15 May 31 June 4 4.9
4.10
Newton’s Method
Antiderivatives
Final Exam: A Comprehensive Multiple Choice Exam, Date is to be announced