Math 2403 Differential Equations
(F Sections) Spring 2012
Schedule: 12:05 pm - 1:25 pm TR
|
Classroom: D. M. Smith 105
|
Office: Skiles 102A
|
Phone: 404-894-4750
|
Email: zengch@math.gatech.edu
|
Webpage: www.math.gatech.edu/~zengch
|
Office hours: 1:35 - 2:25 pm Tue. & 10:05 - 10:55 am Thu.
|
Final Schedule (tentatively): May. 1st (Tue.), 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 | 2.1-2.8; 3.1-3.7 | 7+7 |
Second order linear equations; Systems of first order
equations; Nonlinear Differential Equations and Stability (if time
permits) | 4.1-4.8; 6.1-6.7; 7.1-7.6 | 8+7+6 |
Laplace Transform Methods | 5.1-5.9 | 8 |
Calculators: Scientific
calculators are allowed
throughout the semester. Graphic calculators are NOT allowed unless
authorized
by the TA or the instructor or required by the problems explicitly.
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. The 2 midterms of 50 minutes each will be given (tentatively scheduled)
during recitation sessions on Wed. 2/8 and Wed. 3/14, respectively.
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 a missed exam, except under provable impossibility to
attend the exam.
- Quizzes: The quizzes of roughly 15--20 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
required): 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 Tue. 1/10: Sec. 1.1 2, 8, 13, 15--20, 38; Sec 1.3 3, 12; Sec.1.4 3, 11.
- Assigned on Thu. 1/12: Sec. 2.1 3, 4, 6, 9, 10, 21
- Assigned on Tue. 1/17: Sec. 1.2 2, 7, 11, 15, 18, 22, 32;
Sec. 2.3 2, 6, 9, 15, 21, 22, 23
- Assigned on Thu. 1/19: Sec. 2.2 3, 6, 9, 10, 13, 17, 27;
- Assigned on Tue. 1/24: Sec. 2.4 5, 7, 8, 11, 13, 18;
- Assigned on Thu. 1/26: Sec. 2.5 4, 10, 11, 13, 25, 28;
- Assigned on Tue. 1/31: Sec. 2.6 3; Sec. 2.7 3
- Announcement: The first midterm: Wed. 2/8, covering Chapter 1 --2.
- Assigned on Thu. 2/2: Sec. 3.1 4, 11, 15, 26, 31
- Assigned on Tue. 2/7: Sec. 3.2 5, 6, 7, 18, 24, 27; Sec. 3.3 7, 8, 14, 15, 22, 24, 26
- Assigned on Tue. 2/14: Sec. 3.4 2, 6, 7, 9, 15, 16; Sec. 3.5 4, 5, 6, 10, 11, 13;
- Assigned on Thu. 2/16: Sec. 3.6 3, 4, 5, 9, 10, 16
- Assigned on Tue. 2/21: Sec. 4.1 10, 11, 14, 15, 17, 18; Sec. 4.2 5, 6, 9, 16, 19, 21, 24
- Assigned on Thu. 2/23: Sec. 4.3 2, 5, 13, 16, 21, 31, 32, 37
- Assigned on Tue. 2/28: Sec. 4.4 6, 7, 9, 12, 13, 18, 19; Sec. 4.5 3, 4, 7, 12, 15, 18, 19
- Assigned on Tue. 3/6: Sec. 4.6 7, 11, 14, 17, 20; Sec. 4.7 4, 5, 8, 12, 17;
- The
2nd midterm: as announced in the classroom, in the syllabus & in
the earlier email announcement: Wed. 3/14, covering Chapter 1--4.
- Assigned on Tue. 3/13: Sec. 5.1 3, 9, 13, 17, 18, 23, 28; Sec. 5.2 5, 6, 14, 17, 21
- Assigned on Thu. 3/15: Sec. 5.3 5, 8, 15, 16, 21, 24
- Assigned on Tue. 3/27: Sec. 5.4 9, 11, 12,
15, 22, 25
- Assigned on Thu. 3/29: Sec. 5.5 6, 8, 11, 16, 17, 20, 23;
- Assigned on Tue. 4/3: Sec. 5.6 2, 4, 9, 12, 17; Sec. 5.7 3, 6, 10, 13, 14, 18;
- Assigned on Thu. 4/5: Sec. 5.8 3, 9, 15, 16, 17; Sec. 6.1 3, 6, 9, 12, 13.
- Assigned on Tue. 4/10: Sec. 6.2 4, 5, 8, 10, 14, 15; Sec. 6.3 3, 4, 7, 12, 14, 16, 21
- Assigned on Tue. 4/17: Sec. 6.4 3, 4, 6, 9, 12, 13, 16; Sec. 6.5 4, 5, 13, 14, 16, 22
- Assigned on Thu. 4/19:Sec. 6.6 4, 6, 8, 9, 12, 14, 15, 16; Sec. 6.7 4, 5, 7, 8, 11