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CLASS WORK 101-6 |
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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
2011-2012 111
Coordinator: Dr. Ibrahim Al-Rasasi
Week Date Sec. Topics (28 sections)
2.2
The Tangent Problem: Example1.
The Limit of a Function
2.4
Calculating Limits Using the Limit Laws
The Precise Definition of a Limit: Examples 1,2, and 3
2.6
Continuity
Limits at Infinity; Horizontal Asymptotes
2.8
Tangents, Velocities, and Other Rates of Change
Derivatives
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)
3.3
3.4
The Product and Quotient Rules
Rate of Change in Physics: Example 1.
Derivatives of Trigonometric Functions
2
3.4
3.5
Continued
The Chain Rule
3.7
Implicit Differentiation
Higher Derivatives
Midterm Break: April 10-18, 2008.
3.9
Derivatives of Logarithmic Functions
Hyperbolic Functions
3.10
Hyperbolic Functions
Related Rates
Exam II: Monday, April 28, 2008 // Materials: 2.8 to 3.8 (An MCQ Exam)
4.1
Linear Approximations and Differentials
Maximum and Minimum Values
4.2
Continued
The Mean Value Theorem
4.4
How Derivatives Affect the Shape of a Graph
Indeterminate Forms and L’Hospital’s Rule
4.7
Summary of Curve Sketching
Optimization Problems
4.10
Newton’s Method
Antiderivatives
Final Exam: A Comprehensive Multiple Choice Exam, Date is to be announced