King Fahd University of Petroleum & Minerals
Department of Mathematical Sciences
MATH 101 - Calculus I (4-0-4)
(Coordinator: Dr. A. Shawky Ibrahim)
| Homework | Quizes | Quiz1 | Solutions for first major | GRADS | FINAL GRADS |
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
Textbook: Calculus, A New Horizon by Howard Anton, sixth edition (1999).
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Week(s) |
Dates |
Sec. |
Topics |
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1and 2 |
Sept. 2 – 12
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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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Wensday, OCTOBER 3, TIME FOR MAJOR EXAM I |
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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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SATURDAY, NOVEMBER 10, TIME FOR MAJOR EXAM II |
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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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