Math 4581 (AU, AG, Q) Classical Mathematical Methods in Engineering, Spring 2015
Schedule: 3:05 pm - 4:25 pm MW |
Classroom: Sustainable Education Building 110 |
Office: Skiles 102A |
Phone: 404-894-4750 |
Email: zengch@math.gatech.edu |
Webpage: www.math.gatech.edu/~zengch |
Office hours: 9:35 - 10:55 am Mon. & 1:05 - 1:55 pm Wed. |
Tentative final exam schedule: Apri. 29 (Wed.) 2:50 -- 5:40 |
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, 6th 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 50%, 1 midterm 26% each, 6 homework assignments 4% each.
Exams: The final will be 2 hours and 50 minutes for which the schedule can be found at the GT final exam calender webpage. The 80-minute midterm is tentatively scheduled to be given during the lecture on Feb. 18th. 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 any missed exams, 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 correctness of the graded problems and the completion of the whole assignment. Due to the holiday schedules, the specific homework collecting dates are:
1/21 (Wed.), 2/2(Mon.), 2/16(Mon.), 3/2(Mon.), 3/23(Mon.), 4/6(Mon.)
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 Wed., 1/21):
Assigned on Mon. 1/5: Sec. 0.1, 4, 6, 11, 13, 17, 20
Assigned on Wed. 1/8: Sec. 0.2, 4, 5, 19
Assigned on Mon. 1/12: Sec. 0.3, 3a, 6, 9; Sec 0.4, 4, 8
Assigned on Wed. 1/14: Sec. 1.1, 1bc, 2ac, 5, 7