King Fahd University of Petroleum & Minerals
Department of Mathematical Sciences
MATH 101 - Calculus I (4-0-4)
GRADS | FINAL GRADS
I will be in office today from 11- 1pm and Monday for any Question |
Homework | First Major Solution | Quizzes # 1-4,
3-7 |
Syllabus | Second Major Solution | help Final Solution |
Syllabus
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
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
Prerequisite Math 002
Textbook
Calculus, Early Transcendentals
by Anton, Bivens and Davis seventh edition (2002).
Week(s) |
Dates |
Sec. |
Topics |
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1 |
Sept. 14 – 18
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2.1 2.2 |
Limits (Tentative Approach) Computing Limits |
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2 |
Sept. 21 – 25 |
2.3 2.4 |
Computing Limits (End Behavior) Limits (Discussed more rigorously) |
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3 |
Sept. 28 – Oct.2 |
2.5 2.6 |
Continuity Limits and Continuity of Trigonometric Functions |
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4 |
Oct.5-9 |
3.1 3.2 |
Slopes and Rates of Change The Derivative |
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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 |
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6 |
Oct.19-23 |
3.5 3.6 |
The Chain Rule Implicit Differentiation |
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7 |
Oct.26-30 |
3.7 3.8 |
Related Rates Local Linear Approximation; Differentials |
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8 |
Nov.2-6 |
4.1 4.2 4.3 |
Inverse Functions Exponential and Logarithmic Functions Derivatives of Logarithmic and Exponential Functions |
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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 |
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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 |
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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 |
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12 |
Dec. 21-25 |
5.3 5.4 |
Applying Technology and the Tools of Calculus Rectilinear Motion |
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13 |
Dec. 28- Jan. 1 |
5.5 5.6 |
Absolute Maxima and Minima Applied Maximum and Minimum Problems |
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14 |
Jan 4-8 |
5.7 5.8 |
Newton’s Method Rolle’s Theorem; Mean-Value Theorem |
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15 |
Jan 11-15 |
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Review |
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Grading Policy: First Major 20 points, Second Major 20 points, Homework 5 points, Quizzes and Matlab quiz 20 points, Final 35 points.