Math 2403 Differential Equations (H Sections) Spring 2015
Schedule: 12:05 pm - 12:55 pm MWF
|
Classroom: Boggs Building B6
|
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.
|
Final Schedule (tentative): May. 1st (Fri.), 11:30 --2:20.
|
Syllabus
Instructor: Chongchun Zeng
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 although they are not required.
Textbook: Differential Equations: An Introduction to
Modern Methods & Applications/2nd edition, by J. R. Brannan and W.
E. Boyce, published by Wiley.
Material: In this semester, the topics we will cover
include: Euler's method, first order equations, second order linear
equations, systems of first order linear equations, nonlinear systems,
and methods of Laplace transform. We will cover most parts of Chapter 1
through Chapter 7 if time allows. Roughly, the schedule will be
Introduction and Euler's method
|
1.1-1.4
|
2
|
First Order Differential equations; Systems of two first order equations
|
2.1-2.7; 3.1-3.7
|
7+7
|
Second order linear equations; Systems of first order equations; Nonlinear Differential Equations and Stability
|
4.1-4.7; 6.1-6.7; 7.1-7.6
|
8+7+6
|
Laplace Transform Methods
|
5.1-5.9
|
8
|
Calculators: Calculators are not allowed in exams (and are not really necessary).
Grades: 1 final exam 40%, 2 midterm 18% each, 8 quizzes
3% each. (More quizzes might be given but only the best 8 scores will
be counted.)
- Exams: The final will be 2
hours and 50 minutes for which the schedule can be found at the GT final exam calender webpage. Tentatively the 2 midterms of 50 minutes each will be given on Feb. 4th and March 4th.
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 corections 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.
- Quizzes: The quizzes of roughly
15--25 minutes each will take place in the recitation sessions. They
may not be announced in advance. The quizzes are open-book and
open-notes.
- Homework (not collected): Although
homework will not be collected, the importance of exercises can never
be over-emphasized. Some problems in the exams or quizzes will be
chosen from the assigned exercises. Homework will be assigned at the
end of each lecture and then put on this webpage in the below. You may
discuss the homework problems with other students in this class, but you are encouraged to complete the homework independently. These problems will be discussed in the recitation sessions.
- Letter grade: in general, the letter
grade will be given based on the total score (quizzes + midterms +
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:
- Assigned on Mon. 1/6: Sec. 1.1, 2, 8, 13, 15--20, 38
- Assigned on Wed. 1/8: Sec. 1.3, 3, 12; Sec. 1.4, 3, 11
- Assigned on Fri. 1/9: Sec. 2.1, 3, 4, 6, 9, 10, 21
- Assigned on Mon. 1/12: Sec. 1.2, 2, 7, 11, 15, 18, 22, 32
- Assigned on Wed. 1/14: Sec. 2.2, 3, 6, 9, 10, 13, 17
- Assigned on Fri. 1/16: Sec. 2.3, 2, 6, 9, 15, 21, 22, 23
- Assigned on Wed. 1/21: Sec. 2.4, 5, 7, 8, 11, 13, 18
- Assigned on Mon. 1/26: Sec. 2.5, 4, 10, 11, 13
- Assigned on Wed. 1/28: Sec. 2.5, 25, 28;
- Assigned on Fri. 1/30: Sec. 2.6, 3; Sec. 2.7, 3
- Assigned on Mon. 2/2: Sec. 3.1, 4, 11, 15, 26, 31
- Assigned on Fri. 2/6: Sec. 3.2, 5, 6, 7, 18, 24, 27
- Assigned on Mon. 2/9: Sec. 3.3, 7, 8, 14, 15, 22, 24, 26;
- Assigned on Fr. 2./13: Sec. 3.4, 2, 6, 7, 9, 15, 16
- Assigned on Mon. 2/16: Sec. 3.5, 4, 5, 6, 10, 11, 13;
- Assigned on Wed. 2/18: Sec. 3.6, 3, 4, 5, 9, 10, 16; Sec. 4.1, 10, 11, 14, 15, 17, 18
- Assigned on Fri. 2/20: Sec. 4.2, 5, 6, 9, 16, 19, 21, 24
- Assigned on Mon. 2/23: Sec. 4.3, 2, 5, 13, 16, 21, 31, 32, 37
- Assigned on Fri. 2/27: Sec. 4.4, 6, 7, 9, 12, 13, 18, 19
- Assigned on Mon. 3/2: Sec. 4.5, 3, 4, 7, 12, 15, 18, 19
- Assigned on Mon. 3/9: Sec. 4.6, 7, 11, 14, 17, 20
- Assigned on Wed. 3/11: Sec. 4.7, 4, 5, 8, 12, 17
- Assigned on Fri. 3/13: Sec. 6.1, 3, 6, 9, 12, 13
- Assigned on Mon. 3/23: Sec. 6.2, 4, 5, 8, 10, 14, 15
- Assigned on Wed. 3/25: Sec. 6.3, 3, 4, 7, 12, 14, 16, 21
- Assigned on Mon. 3/30: Sec. 6.4, 3, 4, 6, 9, 12, 13, 16
- Assigned on Wed. 4/1: Sec. 6.5, 4, 5, 13, 14, 16, 22
- Assigned on Fri. 4/3: Sec. 6.6, 6, 8, 9, 12, 14, 15, 16
- Assigned on Mon. 4/6: Sec. 6.7, 4, 5, 7, 8, 11
- Assigned on Wed. 4/8: Sec. 5.1 3, 9, 13, 17, 18, 23, 28;
- Assigned on Fri. 4/10: Sec. 5.2, 5, 6, 14, 17, 21
- Assigned on Mon. 4/13: Sec. 5.3, 5, 8, 15, 16, 21, 24
- Assigned on Wed. 4/15: Sec. 5.4, 9, 11, 12, 15, 22, 25
- Assigned on Fri. 4/17: Sec. 5.5, 6, 8, 11, 16, 17, 20; Sec. 5.6, 2, 4, 9, 12