KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS

Department of Mathematical

SYLLABUS (101) (Semester III, 2001-2002)

Instructor:                        Dr. Suliman Al-Homidan                                   Office: 5-427

E-mail

Course homepage:                        http://users.kfupm.edu.sa/math/homidan/math101.htm

Title                        Calculus I                                                                                 Course # Math 101

Prerequisite                         Math 002

Textbook                                      Calculus, A New Horizon by Howard Anton, sixth edition (1999).

 Week(s) Dates Sec. Topics 1 June 18 – 19 2.1 Limits (An intuitive Introduction) 2 June  22 – 27 2.2 2.3 2.4 2.5 Limits (Computational Techniques) Limits (Discussed more rigorously) Continuity Limits and Continuity of Trigonometric Functions 3 June 29 –July 3 3.1 3.2 3.3 3.4 Tangent Lines and Rates of Change The Derivative Techniques of Differentiation Derivatives of Trigonometric Functions 4 July 5 – July 10 3.5 3.6 4.1 4.2 The Chain Rule Local Linear Approximation; Differentials Inverse Functions Logarithmic and Exponential Functions 5 July12 –July 17 4.3 4.4 4.5 4.6 Implicit Differentiation Derivatives of Logarithmic and Exponential Functions Derivatives of Inverse Trigonometric Functions Related Rates 6 July 19 – July 24 4.7 5.1 5.2 L’Hopital’s Rule; Indeterminate Forms Increasing, Decreasing, and Concavity Relative Extrema; First and Second Derivative Tests 7 July 27 – July 31 5.3 6.1 6.2 6.3 Applying Technology and the Tools of Calculus Absolute Maxima and Minima Applied Maximum and Minimum Problems Rectilinear Motion 8 Aug.3 – Aug. 7 6.4 6.5 Newton’s Method Rolle’s Theorem; Mean-Value Theorem Review 9 Aug.10 –Aug. 12 Final exams

Grading Policy: First Major 15 points, Second Major 15 points, Homework 5 points, Quizzes and Matlab quiz 20 points, Final 35 points.