College of Science Mathematics Department Math 101 – Syllabus 2013-2014 ____________________________________________________________________________ Title: Textbook: Calculus 1 Calculus Early Transcendentals, by Howard Anton, Irl C. Bivens, Stephen Davis, Combined 9th Edition, John Wiley & Sons (Asia) 2010 Course Objective: To introduce the basic concepts and methods of Calculus, and to link Calculus to the real world. The topics for this course includes: Limits and continuity of functions of a single variable; Differentiability of Exponential, Logarithmic, Trigonometric and Inverse Trigonometric Functions; Applications: Related rates, Local linear approximation, Differentials, Analysis of functions and applied maximum and minimum problems. Grading Policy: 1. Major Exam I: 20% Written Exam Exam Date: To be announced 2. Major Exam II: 20% Written Exam Exam Date: To be announced 3. Final Exam: 50% Comprehensive Exam The schedule of exam is to be announced by the Registrar 4. Class Work: 10% Quizzes Homework Attendance Exam Questions: The questions of the common exams are based on the examples, homework problems, recitation problems and the exercises of the textbook. Missing one of the Two Common Major Exams I or II: No makeup exam will be given under any circumstance. When a student misses Exam I or Exam II for a legitimate reason (such as medical emergencies), her grade for this exam will be determined based on the existing formula which depends on her performance in the nonmissing exam and in the final exam. Attendance: 4 days (4 hours) absences – 1st Warning 8 days (8 hours) absences – 2nd Warning A grade of DN will be given to the student for 12 days (12 hours) unexcused absences Students will have ONLY 6 days to submit their excuses to the prep-year affairs Academic Integrity: All UOH policies regarding ethics apply to this course. Prepared by : AMAL ALMARSHADI College of Science Mathematics Department Math 101 – Syllabus 2013-2014 Week Date 1 Feb 9 -13 2 Feb 16 -20 3 Feb 23 -27 4 Mar 2 – 6 Section 1.1 1.2 1.2 1.3 1.4 1.5 1.5 1.6 Topics Limits (An intuitive Approach ) Computing Limits Continued Limits at infinity; end behavior of a function Limits (discussed more rigorously) Continuity Continued Continuity of Trigonometric, exponential and inverse functions Homework 4,5, 10,18,19 3,4,5,7,17,23 2,5(a,c,f), 16,21,29 14,17,42,52 6,15,29,32 11,23,27 Major Exam I : (20%) 5 Mar 9 – 13 6 Mar 16 -20 2.1 2.2 2.3 2.4 Tangent lines and Rate of change The derivative function Introduction to techniques of differentiation The product and quotient rules 7 Mar 30 - 3 April 2.5 2.6 Vacation Derivatives of trigonometric Functions The Chain Rule 8 April 6-10 3.1 3.2 Implicit Differentiation Derivatives of logarithmic differentiation 3.3 9 April 13-17 3.4 Derivatives of exponential and inverse trigonometric functions Related Rates 3.5 3.6 Local linear Approximation; Differentials L’hopital’s Rule; Indeterminate Forms 10 April 20-24 11(a,b), 15 7,9,14,21 2,8,30, 41(b,d),44(a,c),46(a) 4,10,12,20,30 6,22,24,26,28(a) 3,10,18,44,52,76 4,10,16,20 4,10,18,26,36 5(a,c)22,32,34,42,50 4(a,b),10,20 11,40,44,52 8,14,20,40,47(a) Major Exam II: (20%) 11 April 27-1May 4.1 Analysis of functions I: increase, decrease and concavity. Analysis of functions II: relative extrema; graphing polynomials 5,15,20,28,33 4.4 4.5 Absolute maxima and minima Applied maximum and minimum problems 8,14,22,32 4.8 Rolle’s theorem; Mean – value theorem 4.2 12 13 May 4-8 May 11-15 4(a,b),8,34,42,47 2,6,10(a) Final Exam: Comprehensive 50%) Prepared by : AMAL ALMARSHADI