**King Fahd University of Petroleum and Minerals**

Department of Mathematical Science

SYLLABUS Semester I, 2001-2002(011)

(Coordinator: Dr. A. Shawky Ibrahim)

(Instructor: Dr. Suliman Al-Homidan)

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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## 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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