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

Solution of First M

 GRADS

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CLASS  WORK 101-6

First Major Solution

Quizzes

 

Syllabus

Second Major Solution

Final Solution

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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

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 LíHospitalís Rule

14 May 24-28 4.5

4.7

Summary of Curve Sketching

Optimization Problems

15 May 31- June 4 4.9

4.10

Newtonís Method

Antiderivatives

Final Exam: A Comprehensive Multiple Choice Exam, Date is to be announced