MATH 101 - Calculus I (4-0-4)
MATH 101 - Calculus I (4-0-4)
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| CLASS WORK 101-6 |
First Major Solution |
Quizzes
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Second Major Solution |
Final Solution |
Office Hours:
| Saturdat | Sunday | Monday | Tuesday | Wednseday |
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11:00-01:00 pm |
11:00-01:00 pm |
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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
2007-2008 (072)
Coordinator: Dr. Ibrahim Al-Rasasi
Week Date Sec. Topics (28 sections)
1 Feb. 16-20 2.1
2.2
The Tangent Problem: Example1.
The Limit of a Function
2 Feb. 23-27 2.3
2.4
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit: Examples 1,2, and 3
3 March 1-5 2.5
2.6
Continuity
Limits at Infinity; Horizontal Asymptotes
4 March 8-12 2.7
2.8
Tangents, Velocities, and Other Rates of Change
Derivatives
5 March 15-19 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 22-26 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 5-9 3.6
3.7
Implicit Differentiation
Higher Derivatives
Midterm Break: April 10-18, 2008.
9 April 19-23 3.8
3.9
Derivatives of Logarithmic Functions
Hyperbolic Functions
10 April 26-30 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 3-7 3.11
4.1
Linear Approximations and Differentials
Maximum and Minimum Values
12 May 10-14 4.1
4.2
Continued
The Mean Value Theorem
13 May 17-21 4.3
4.4
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L’Hospital’s Rule
14 May 24-28 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