King Fahd University of Petroleum and Minerals
Department of Mathematics & Statistics
Math 101 – Syllabus
2013 (Term 131)
Coordinator: Dr. Ibrahim Al-Rasasi
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Title: |
Calculus I |
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Credit: |
4-0-4 |
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Textbook: |
Thomas Calculus (Early Transcendentals) by G. Thomas, M. Weir and J. Hass. 12thedition, Pearson (2010). |
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Description: |
Introducing students to the basic concepts and methods of Calculus. Topics include: Limits, continuity and differentiability of functions of a single variable. Exponential, Logarithmic, Trigonometric and Inverse Trigonometric functions. Applications: Related rates, Local linear approximation, Differentials, Curve sketching and Applied optimization problems. Area and Estimating with finite sums. |
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Week |
Dates (2013) |
Sec. |
Topics (27 sections) |
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1 |
September 01-05 |
2.1 |
Rates of Change and Tangents to Curves |
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2.2 |
Limit of a Function and Limit Laws |
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2 |
September 08-12 |
2.2 |
Continued |
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2.3 |
The Precise Definition of a Limit (Up to the end of Example 4) |
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3 |
September 15-19 |
2.4 |
One-Sided Limits |
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2.5 |
Continuity |
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4 |
September 22-26 |
2.6 |
Limits Involving Infinity; Asymptotes of Graphs |
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Monday, September 23, 2013, is the National Day Holiday |
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5 |
Sep 29-Oct 03 |
3.1 |
Tangents and the Derivative at a Point (+Vertical Tangents, p. 125) |
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3.2 |
The Derivative as a Function |
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6 |
October 06-09 |
3.3 |
Differentiation Rules |
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3.4 |
The Derivative as a Rate of Change |
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Exam I |
Sunday, Oct. 6, 2013: 06-08 pm; Building 54; Material: 2.1-3.1. |
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Eid Al-Adha Break: Thursday, Oct. 10, 2013 to Sunday, Oct. 20, 2013 |
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7 |
October 21-24 |
3.4 |
Continued |
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3.5 |
Derivatives of Trigonometric Functions |
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8 |
October 27-31 |
3.6 |
The Chain Rule |
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3.7 |
Implicit Differentiation |
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9 |
November 03-07 |
3.8 |
Derivatives of Inverse Functions and Logarithms |
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3.9 |
Inverse Trigonometric Functions |
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10 |
November 10-14 |
3.10 |
Related Rules |
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3.11 |
Linearization and Differentials |
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11 |
November 17-21 |
4.1 |
Extreme Values of Functions |
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4.2 |
The Mean Value Theorem |
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12 |
November 24-28 |
4.3 |
Monotonic Functions and the First Derivative Test |
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4.4 |
Concavity and Curve Sketching |
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Exam II |
Monday, Nov. 25, 2013; 5:15- 7:15 pm; Building 54; Material: 3.2- 3.11. |
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13 |
December 01-05 |
4.5 |
Indeterminate Forms and L’ Hospital’s Rule |
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14 |
December 08-12 |
4.6 |
Applied Optimization |
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4.7 |
Newton’s Method |
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15 |
December 15-19 |
4.8 |
Antiderivatives |
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5.1 |
Area and Estimating With Finite Sum |
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16* |
December 22-24 |
5.2 |
Sigma Notation and Limits of Finite Sums |
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* |
Tuesday, Dec. 24, is a Normal Thursday ( Last day of classes) |
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Wednesday and Thursday, Dec. 25-26: Final Exams Preparation Break |
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Final Exam (Comprehensive): TBA |
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