King Fahd University
of Petroleum and Minerals
Department of Mathematical Science
Semester I, 2001-2002(011)
(Coordinator: Dr. A. Shawky Ibrahim)
(Instructor: Dr. Faisal Fairag)
Course #: |
Math
101
|
Title: |
Calculus I |
Textbook: |
Calculus, A
New Horizon by Howard Anton, sixth edition (1999). |
Objectives: |
The aim of
this course, the first course in the calculus sequence, is to introduce the
student to the basic concepts and methods in calculus. Topics covered include: limits and
continuity of functions of one variable, differentiation, extrema of a
function, Newton’s law, Mean Value Theorem and applications. |
Week(s) |
Dates |
Sec. |
Topics |
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1and 2 |
Sept. 2 – 12 |
2.1 2.2 2.3 |
Limits (An
intuitive Introduction) Limits
(Computational Techniques) Limits
(Discussed more rigorously) |
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3 |
Sept 15 – 19 |
2.4 2.5 |
Continuity Limits and
Continuity of Trigonometric Functions |
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4 |
Sept 22 – 26 |
3.1 3.2 |
Tangent
Lines and Rates of Change The
Derivative |
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5 |
Sept. 29 –
Oct 3 |
3.3 3.4 |
Techniques
of Differentiation Derivatives
of Trigonometric Functions |
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Ï Ï
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TUESDAY, OCTOBER 2, TIME FOR MAJOR EXAM I6:00 pm Building
# 6 Room 125 |
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6 |
Oct. 6 – 10 |
3.5 3.6 |
The Chain
Rule Local Linear
Approximation; Differentials |
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7 |
Oct. 13 – 17 |
4.1 4.2 |
Inverse
Functions Logarithmic
and Exponential Functions |
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8 |
Oct. 20 – 24 |
4.3 4.4 |
Implicit
Differentiation Derivatives
of Logarithmic and Exponential Functions |
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9 |
Oct. 27 – 31 |
4.5 4.6 |
Derivatives
of Inverse Trigonometric Functions Related
Rates |
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10 |
Nov. 3 – 7 |
4.7 |
L’Hopital’s
Rule; Indeterminate Forms |
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Ï Ï
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SATURDAY, NOVEMBER 10, TIME FOR MAJOR EXAM II5:30 pm Building
# 6 Room 125 |
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11, 12 |
Nov. 11 – 21 |
5.1 5.2 5.3 6.1 |
Increasing,
Decreasing, and Concavity Relative
Extrema; First and Second Derivative Tests Applying
Technology and the Tools of Calculus Absolute
Maxima and Minima |
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13, 14, 15 |
Nov. 24 –
Dec. 9 |
6.2 6.3 6.4 6.5 |
Applied
Maximum and Minimum Problems Rectilinear
Motion Newton’s
Method Rolle’s
Theorem; Mean-Value Theorem |
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EID AL-FITR VACATION FROM MONDAY DECEMBER 10 TO FRIADY DECEMBER 28 |
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16 |
Dec. 29 –
Jan. 2 |
|
Review and Catching up |
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