KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS
Department of Mathematical
SYLLABUS (101) (Semester 1, 2002-2003)
Instructor: Dr.
Suliman Al-Homidan Office:
5-427
Title
Calculus I
Course #
Math 101
E-mail
homidan@kfupm.edu.sa
Course homepage:
http://users.kfupm.edu.sa/MATH/homidan/Cos_101_021.htm
Prerequisite
Math 002
Textbook
Calculus, Early Transcendentals
by Anton, Bivens and Davis seventh edition (2002).
Week(s) |
Dates |
Sec. |
Topics |
1 |
Sept. 14 – 18
|
2.1 2.2 |
Limits (Tentative Approach) Computing Limits |
2 |
Sept. 21 – 25 |
2.3 2.4 |
Computing Limits (End Behavior) Limits (Discussed more rigorously) |
3 |
Sept. 28 – Oct.2 |
2.5 2.6 |
Continuity Limits and Continuity of Trigonometric Functions |
4 |
Oct.5-9 |
3.1 3.2 |
Slopes and Rates of Change The Derivative |
First Major in October 14,
2002 6:00-7:30 p.m.
Room 203 Bl. 5 |
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5 |
Oct.12-16 |
3.3 3.4 |
Techniques of Differentiation Derivatives of Trigonometric Functions |
6 |
Oct.19-23 |
3.5 3.6 |
The Chain Rule Implicit Differentiation |
7 |
Oct.26-30 |
3.7 3.8 |
Related Rates Local Linear Approximation; Differentials |
8 |
Nov.2-6 |
4.1 4.2 4.3 |
Inverse Functions Exponential and Logarithmic Functions Derivatives of Logarithmic and Exponential Functions |
Ramadan classes starts November 6, 2002 40 minutes a class |
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9 |
Nov.9-13 |
4.4 |
Inverse Trigonometric Functions and Their Derivatives |
Second Major in November 18, 2002 8:30-10:00 p.m. Room 203 Bl. 5 |
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10 |
Nov.16-20 |
4.5 |
L’Hopital’s Rule; Indeterminate Forms |
Eid Al-Fitr Vacation Sat. November 23 to Wed.
December 11. |
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11 |
Dec. 14-18 |
5.1 5.2 |
Increasing, Decreasing, and Concavity Relative Extrema; First and Second Derivative Tests |
12 |
Dec. 21-25 |
5.3 5.4 |
Applying Technology and the Tools of Calculus Rectilinear Motion |
13 |
Dec. 28- Jan. 1 |
5.5 5.6 |
Absolute Maxima and Minima Applied Maximum and Minimum Problems |
14 |
Jan 4-8 |
5.7 5.8 |
Newton’s Method Rolle’s Theorem; Mean-Value Theorem |
15 |
Jan 11-15 |
|
Review |
Grading Policy: First Major 20 points, Second Major 20 points, Homework 5 points, Quizzes and Matlab quiz 20 points, Final 35 points