King Fahd University of Petroleum and Minerals
Department of
Mathematical Science
SYLLABUS
Semester I,
2003-2004 (031)
(Prepared by Dr.
Nasser-eddine Tatar)
(Instructor: Dr.
Faisal A. Fairag)
|
Course
#: |
Math 101
|
|
Title: |
Calculus I |
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Textbook: |
Calculus (Early Transcendentals) by
H. Anton, I. Bivens, and |
|
Objectives: |
Introduce the student to the basic concepts
and methods in calculus. Topics
covered include: Limits and continuity, the derivative, exponential,
logarithmic and inverse trigonometric functions; applications of the
derivative in related rates, local linear approximation, differentials,
graphing and optimization problems. |
|
Week(s) |
Dates |
Sec. |
Topics |
|
1 |
Sept 13-17 |
2.1 |
Limits (Tentative Approach) |
|
2 |
Sept 20-24 |
2.2 2.3 |
Computing Limits Computing Limits (End Behavior) |
|
3 |
Sept 27-Oct 01 |
2.4 2.5 |
Limits (Discussed more rigorously) Continuity |
|
4 |
Oct 04-08 |
2.6 3.1 |
Limits and Continuity of
Trigonometric Functions Slopes and Rates of Change |
|
5 |
Oct 11-15 |
3.2 |
The Derivative
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|
6 |
Oct 18-22 |
3.3 3.4 |
Techniques of Differentiation Derivatives of Trigonometric
Functions |
|
7 |
Oct 25-29 |
3.5 3.6 |
The Chain Rule Implicit Differentiation |
|
8 |
Nov 01-05 |
3.7 3.8 |
Related Rates Local Linear Approximations,
Differentials |
|
9 |
Nov 08-12 |
4.1 4.2 |
Inverse Functions Exponential and Logarithmic Functions |
|
10 |
Nov 30-Dec 03 |
4.3 |
Derivatives of Logarithmic and Exponential
Functions |
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|
11 |
Dec 06-10 |
4.4 4.5 |
Inverse Trigonometric Functions and
Their Derivatives L’Hopital’s Rule; Indeterminate Forms |
|
12 |
Dec 13-17 |
5.1 5.2 |
Analysis of Functions I: Increase,
Decrease, and Concavity Analysis of Functions II: Relative
Extrema; First and Second Derivative Tests |
|
13 |
Dec 20-24 |
5.3 5.4 |
Analysis of Functions III: Applying
Technology and the Tools of Calculus Rectilinear Motion |
|
14 |
Dec 27-31 |
5.5 5.6 |
Absolute Maxima and Minima Applied Maximum and Minimum Problems |
|
15 |
Jan 03-07 |
5.7 5.8 |
Rolle’s Theorem; Mean-value Theorem |
King Fahd University of Petroleum and Minerals
Department of Mathematical Sciences
Math 101, Semester 031
Homework and Recitation Problems
|
Sec. |
Suggested Homework Problems |
Suggested Recitation Problems |
|
2.1 |
2, 12, 14, 18, 32 |
6, 10, 16 |
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2.2 |
6, 18, 20, 36, 38 |
2, 8, 14, 22, 34 |
|
2.3 |
12, 20, 26, 32 |
8, 18, 30, 34 |
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2.4 |
12, 29, 42, 60 |
4, 10, 16, 26, 38, 50, 56 |
|
2.5 |
19, 24, 25, 28, 30, 43 |
11, 18, 22, 42 |
|
2.6 |
6, 8, 24, 32, 40 |
4, 10, 18, 28, 46 |
|
3.1 |
6, 10, 12, 20 |
2, 8, 14, 18 |
|
3.2 |
1, 11, 26, 42, 46 |
2, 12, 23, 45 |
|
3.3 |
11, 18, 22, 36, 40, 44, 61 |
22, 28, 44, 52, 58 |
|
3.4 |
8, 17, 27(b), 37(g) (h) |
10, 27(a), 37(a) (f) (i) |
|
3.5 |
4, 26, 40, 65, 71 |
2, 20, 34, 45, 70 |
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3.6 |
12, 20, 36, 47 |
14, 26, 28, 42, 46 |
|
3.7 |
8, 13, 25, 38 |
7, 10, 14, 29, 40 |
|
3.8 |
4, 7, 27, 44, 54 |
3, 8, 18, 24, 36, 51 |
|
4.1 |
8, 12, 16, 46 |
5(c) (f), 18, 34, 48 |
|
4.2 |
6, 12, 14, 24, 30, 36, 58 |
5, 10, 15, 20, 28, 35 |
|
4.3 |
8, 26, 30, 40, 45, 50(a) |
16, 32, 42, 44 ,50(b) |
|
4.4 |
10, 12(b) (c), 24, 28 |
4, 8, 12(a) (d), 26 |
|
4.5 |
18, 24, 36, 49 |
2, 12, 16, 32, 60 |
|
5.1 |
2, 14, 22, 26 |
6, 18, 34, 62 |
|
5.2 |
8, 20, 36, 38 |
6, 10, 16, 18, 57 |
|
5.3 |
4, 18, 24, 42, 44, 52, 58, 68 |
7, 14, 25, 40, 50, 56, 72 |
|
5.4 |
2, 12, 20 |
3,14,22,38 |
|
5.5 |
6, 12, 20, 30, 36, 38 |
10, 14, 22, 37, 42, 43 |
|
5.6 |
2, 12, 29, 49 |
10, 18, 28, 50, 54 |
|
5.7 |
6, 27, 31 |
8, 24, 32 |
|
5.8 |
6, 16, 20, 31, 37, 46 |
8, 12, 33, 38 |
v The Suggested Homework and Recitation Problems are considered as a minimum set of problems. Students are encouraged to solve as many problems as they can from the list of the problems at the end of each required section.