Math 4581 Classical Mathematical Methods in Engineering, Fall 2009
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Schedule: 4:35 pm - 5:55 pm TR |
Classroom: Skiles 268 |
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Office: Skiles 102A |
Phone: 404-894-4750 |
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Email: zengch@math.gatech.edu |
Webpage: www.math.gatech.edu/~zengch |
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Office hours: 1:40 pm - 2:55 pm TR |
Tentative final exam schedule: Fri. 12/11, 2:50 pm --5:40 pm. |
Syllabus
Instructor: Chongchun Zeng
Prerequisites: MATH 2403 or MATH 2413 or MATH 24X3
Overview: This course is designed to meet the mathematical needs of engineering majors. A familiarity with these subjects is not assumed before the course. Coming out of this course, you should have the required mathematics background for upper level and graduate courses in these fields.
Participation: Attendence in classes is mandatory. Students are expected to read the material before each lecture. It is suggested that you start to work on homework problems right after they are assigned.
Textbook: Boundary Value Problems, 5th edition, by David L Powers, Elsevier Academic Press.
Material: In this semester, the topics we will cover include: a very biref review of ordinary differential equations, Fourier series and Fourier Transforms, heat equations, wave equations, potential equations, Laplace Transforms. In the textbook, after we go through Chapter 0 quickly, we will cover most parts of Chapter 1, 2, 3, 4, 6 and some of Chapter 5 if time allows.
Grades: 1 final exam 40%, 2 midterm 18% each, 6 homework assignments 4% each.
Exams: The final will be 2 hours and 50 minutes. Each of the two 80-minute midterms will be given during a lecture in the second half of Sept. and in late Oct., respectively, which will be announced at least a week in advance. All the exams are "closed book" and "closed notes". You will be allowed to bring with you a one page (8.5 X 11, both sides) "cheat sheet" with anything you want written on it. Please write your exam solutions in ink and circle the final answer of each problem in a box with no corrections inside. Writing exams in pencil would automatically forfeit your right to argue for credits after the exam is given back to you. There will be no make-up for a missed exam, except under provable impossibility to attend the exam.
Homework: Homework will be assigned at the end of each lecture and then put on this webpage in the below, where you will also find the due dates of the problems included in each assignment. You may discuss the homework problems with other students in this class, but you should write down the solutions and complete the homework independently. The homework will be collected roughly every 2 weeks as one assignment. On each collecting day, the homework is due in the classroom at the beginning of the lecture. Some selected problems from each assignment will be graded and the score will be given based on both the graded problems and the completion of the whole assignment. Due to the holiday schedules, the specific homework collecting dates (for students at Atlanta campus) are:
9/1 (Tue.), 9/15(Tue.), 9/29(Tue.), 10/20(Tue.), 11/3(Tue.), 11/17(Tue.)
Letter grade: in general, the letter grade will be given based on the total score (homework + midterm + final) in a curved fashion with the following exceptions:
Total score 90/100 or above will always be an A
Total score 60/100 or above will always be a C or higher.
Homework assignments:
Homework Assignment #1 (due Tue., 9/1):
Assigned on Tue. 8/18: Sec. 0.1 6, 11, 13, 17, 20; Sec. 0.2 4, 19; Sec. 0.3 6, 9 Sec. 0.4 4, 8
Assigned on Thu. 8/20: Sec. 1.1 1bc, 2ac, 5, 7;
Assigned on Tue. 8/25: Sec. 1.2 1c, 2, 3, 5, 6, 7c, 8, 10ac, 11ac
Assigned on Thu. 8/27: Sec. 1.3 2, 3, 4, 7
Homework Assignment #2 (due Tue., 9/15):
Assigned on Tue. 9/1: Sec. 1.4 1acdf, 2, 3bce; Sec. 1.5 5, 6, 7, 9
Assigned on Thu. 9/3: Sec. 1.6 1, 2, 3
Assigned on Tue. 9/8: Sec. 1.9 1ac, 3, 5b, 6a
Assigned on Thu. 9/10: Sec. 1.10 1, 2, 3
Homework Assignment #3 (due Tue., 9/29):
Assigned on Tue. 9/15: Sec. 1.11 3, 5; Page 132 68, 69
Assigned on Thu. 9/17: Sec. 2.1 1, 2, 3; Sec. 2.2 1, 2, 3, 6b
Assigned on Thu. 9/24: Sec. 2.3 1, 2, 5, 6; Sec. 2.4 4, 5
Assigned on Thu. 10/8: Sec. 2.7 1, 3e, 4, 5c, 6, 7
Assigned on Tue. 10/13: Sec. 2.8 3, 4; Sec. 2.9 1, 2
Assigned on Thu. 10/15: Sec. 2.10 1, 4, 7; Sec. 2.11 1