MATH 101 - Calculus I (4-0-4)

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101

 GRADS

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CLASS  WORK 101-6

First Major Solution

Quizzes

Q1   Q2   Q3   Q4   Q5   Q6   Q7   Q8 

Syllabus

Second Major Solution

Final Solution

Office Hours:

Saturdat Sunday Monday Tuesday Wednseday

11:00-01:00 pm

11:00-01:00 pm

 

 

Syllabus  

 

Catalog Description

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