Math
4581 Classical
Mathematical Methods in Engineering Spring 2009
| Schedule: 3:05 pm - 4:25 pm
MW |
Classroom: Instr Center 215
|
| Office: Skiles 102A |
Phone: 404-894-4750 |
| Email: zengch@math.gatech.edu |
Webpage: www.math.gatech.edu/~zengch |
Office hours: 11am - 12 pm MW
|
Final exam schedule: Tue. 4/28, 11:30 --2:20.
|
Syllabus
Instructor: Chongchun
Zeng
Prerequisites:
MATH 2403 or MATH
2413 or MATH 24X3
Overciew: 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 first half of Feb. and the first half of March,
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:
1/21 (Wed), 2/4(Wed.), 2/18(Wed.), 3/4(Wed.), 3/25(Wed.), 4/8(Wed.)
- 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.
Announcement: The first midterm will be given in class on Wed. 2/11. It covers Chapter 0 and 1.
Homework
assignments:
- Homework Assignment #1 (due Wed., 1/21):
- Assigned on Mon. 1/5: Sec. 0.1, 2, 15;
Sec. 0.2, 5, 15; Sec. 0.3, 1c, 3b; Sec.
0.4, 1b; Sec. 0.5, 5
- Assigned on Wed. 1/7: Sec. 1.1, 1bc, 2ac, 5, 7; Sec. 1.2, 1c, 2, 3, 5, 6, 7c, 8, 10ac, 11ac
- Assigned on Mon. 1/12: Sec. 1.3 2, 3, 4, 7
- Assigned on Wed. 1/14: Sec. 1.4 1acdf, 2, 3bce
- Solutions to the graded problems of assignment 1.
- Homework Assignment #2 (due Wed., 2/4):
- Assigned on Mon. 1/26: Sec. 1.5 5, 6, 7, 9; Sec. 1.6 1, 2, 3
- Assigned on Wed. 1/28: Sec. 1.9 1ac, 3, 5b, 6a; Sec. 1.10 1, 2, 3
- Solutions to the graded problems of assignment 2.
- Homework Assignment #3 (due Wed., 2/18):
- Assigned on Mon. 2/2: Page 132, 68, 69
- Assigned on Wed. 2/4: Sec. 2.1 1, 2, 3; Sec. 2.2 1, 2, 3, 6b
- Assigned on Mon. 2/9: Sec. 2.3 1, 2(computer allowed), 5, 6; Sec. 2.4 4, 5
- Solutions of the graded problems of assignment 3: a, b, c, d.
- Homework Assignment #4 (due Wed., 3/4):
- Assigned on Mon. 2/16: Sec. 2.5 6, 7
- Assigned on Wed. 2/18: Sec. 2.6 2, 3, 7
- Assigned on Mon. 2/23: Sec. 2.7 1, 3e, 4, 5c, 6, 7; Sec. 2.8 2, 3
- Assigned on Wed. 2/25: Sec. 2.9 1,2
- Solutions of the graded problems of assignment 4.
- Homework Assignment #5 (due Wed., 3/25):
- Assigned on Mon. 3/2: Sec. 2.10 1, 4, 7; Sec. 2/11 1.
- Assigned on Wed. 3/4: Sec. 3.1 1, 3, 4; Sec. 3.2 2, 5, 7; Sec 3.4 5, 7
- Assigned on Mon. 3/9: Sec. 3.5 4, 5
- Homework Assignment #6 (due Wed., 4/8):
- Assigned on Mon. 3/23: Sec. 3.6 3, 6
- Assigned on Wed. 3/25: Sec. 3.3 3, 4, 5; Sec. 4.1 1, 5, 8
- Assigned on Mon. 3/30: Sec. 4.2 2, 3, 7bc
- Assigned on Wed. 4/1: Sec. 4.3 1b, 2b, 3; Sec. 4.4 5c, 15, 16, 17
- Solutions of the graded problems of assignment 5.
- Recommended HW Problems NOT collected:
- Assigned on Mon. 4/6: Sec. 4.5 1, 6, 7
- Assigned on Wed. 4/8: Sec. 6.1 1, 2, 3c, 4, 5b, 7e
- Assigned on Mon. 4/13: Sec. 6.2 1ac, 3bf, 5c, 7b, 8
- Assigned on Wed. 4/15: Sec. 6.3 1be, 2b, 3a, 5a
- Assigned on Mon. 4/20: Sec. 6.4 1, 3, 4
- Solutions of the graded problems of assignment 6.