CIE 308 Problems, Fall 2014

Lebanese American University · Construction Materials · 3 pages · Dr. Hiba Naccahe

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Course Number and Name: MTH201, Calculus III MTH201 Class Time and Location: Section 11: MWF: 10:00-10:50, BB904 Section 13: MWF: 1:00-1:50, BB904 Credits and Contact Hours: 3 Credits, 3 sessions per week Semester: Fall 2014 INSTRUCTOR Name: May Hamdan Email: mhamdan@lau.edu.lb Course Page: Blackboard Office: Orme Gray 412 Office Hours: MWF 11:00-1:00 CURRENT CATALOG DESCRIPTION This course covers hyperbolic functions, integration techniques and improper integrals. The course covers also infinite sequences and series: limits of sequences of numbers, bounded sequences, integral test for series, comparison tests, ratio and root tests, alternating series test, absolute and conditional convergence, power series, Taylor and Maclaurin series, and applications of power series. Polar functions, polar coordinates, and graphing of polar curves are also covered. In addition, topics from multivariable calculus are introduced: functions of several variables, partial derivatives, double integrals, applications to double integrals, and double integrals in polar form. COURSE PREREQUISITE/CO-REQUISTE Prerequisite: Sophomore Standing. TEXTBOOK AND REFERENCES Weir/Hass/Giordano, Thomas’ Calculus, 12th edition, Addison Wesley. COURSE TYPE Required Elective Selective Elective COURSE LEARNING OUTCOMES CLO1. Students will acquire the skills needed to solve definite, indefinite, improper and double integrals. CLO2. Students will be able to solve applied problems using integrals. CLO3. Students will be able to identify simple series and to find and/or estimate the sum of a series using partial sums CLO4. Students will be able to test the convergence of sequences and series, and to create MacLaurin series for transcendental functions. COURSE GRADING AND PERFORMANCE CRITERIA Page 1 of 3 2 Exams 70 % Final exam (cumulative) 30 % Exam dates: Exam 1: Sat 18 Oct, 8:30-10 AM Exam 2: Sat 22 Nov, 8:30 -10 AM TOPICS COVERED IN THE COURSE 1. Hyperbolic Functions 2. Techniques of Integration 3. Polar Coordinates 4. Infinite sequences and series 5. Functions of several variables 6. Double Integrals LECTURE MATERIAL AND SCHEDULE Chapter Sectio n Objective 7 7.6 Inverse Trigonometric Functions 7.7 Hyperbolic Functions 8 8.1-8.5 Review of Integration Techniques 8 8.7 Improper Integrals 10 10.1 Sequences 10.2- 10.5 Series – Tests of Convergence 10.6 Alternating series 10.7 Power Series 10.8- 10.10 Taylor and Maclaurin Series and applications 11 11.3- 11.4 Polar Coordinates; Graphing in Polar Coordinates 14 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 The Chain Rule 15 15.1- 15.2 Double Integrals over Rectangles/General Regions 15.3 Area by Double Integral 15.4 Double Integrals in Polar form 15.6 Moments and Centers of Mass POLICY ON CHEATING AND PLAGIARISM Students caught cheating on an exam receive a grade of zero on the exam in their first cheating attempt and receive a warning. Students caught cheating for the second time will receive a grade of “F” in the course and another warning. Plagiarism on assignments and project work is a serious offense. If plagiarism is detected, a student will be subject to penalty, similar to the cheating case, which ranges from receiving a zero on the assignment concerned to an “F” in the course in addition to a warning. ATTENDANCE POLICY Missing one third of classes implies that a student has to drop the course. Page 2 of 3 1. Students are held responsible for all the material presented in the classroom, even during their absence. 2. Students can miss no more than the equivalent of five weeks of instruction and still receive credit for that course. 3. Instructors have the right to impose specific attendance regulations in their courses, provided that the above-stated limit of absences is not exceeded, and the minimum number of absences allowed is no fewer than the equivalent of two weeks of classroom instruction, after the Drop and Add period. 4. Instructors will inform the Departments Chairperson and the Guidance Office, of any prolonged unexplained absence. 5. Students who exceed the allowed number of absences must withdraw from the course; otherwise, the course grade will be recorded as “F” (NP). WITHDRAWAL POLICY “Students wishing to withdraw from one or more courses must follow the withdrawal procedure provided by the Registrar’s Office. Students withdrawing from courses after the late registration period and before the withdrawal deadline will receive Ws for all the courses in progress.” New Withdrawal Policy 1. A student who withdraws after the Drop/Add period and by the end of the 5th week of classes (10th day of classes for Summer Modules) will obtain a “WI” on that particular course.  The student may process such request directly through the Registrar’s Office. The deadline for WI is October 22, 2014. 2. 2.  A student who withdraws from a course between the 6th week and the end of the 10th week of classes (18th day of classes for Summer Modules) will receive either a “WP” or a “WF”.  “WP” or “WF” will be determined by the instructor based on the achieved academic performance in that course till the time of withdrawal. 3. 3.  The “WI” and the “WP” will not count as a Repeat; whereas the   “WF” will count as a Repeat. “WI”, “WP” and “WF”  will not count towards the GPA calculation. WI is equivalent to Early Withdrawal WP is equivalent to Withdrawal/Pass WF is equivalent to Withdrawal/Fail The deadline for WP/WF is November 25, 2014. COURSE EVALUATION As per SAC decision on Jan. 10/Jan. 17, 2014: Students are urged to complete course evaluation, for improvement purposes. Page 3 of 3