Math 4348   Partial Differential Equation II.   Spring 2014

Syllabus

Instructor: Chongchun Zeng

Prerequisites:  MATH 4347 or permission of the instructor

Participation: Attendence in classes is mandatory. Students are expected to read the materials before and/or after the classes. It is suggested that you start to work on homework problems right after they are assigned.

Text book: Introductions to PDEs with Applications by E. C. Zachmanoglou and D. W. Thoe, Dover Publications, 1986.

Topics: In this semester, we shall discuss basic first and second order PDEs and their applications.

• Constant coefficient second order PDEs:

• Laplace's equation

• The heat equation

• The wave equation

• Systems of first order linear and quasi-linear equations
  

 Grades: 1 final exam 50%, 1 midterm 32% each, 6 homework assignments 3% each.

• Final and midterm: The final will be given in the classroom for 2 hours and 50 minutes during the exam period scheduled by the insitute. The 80-minute midterms will be given during the lecture on around Thu. 2/20 (subject to change).  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. Scientific calculators are allowed. 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. 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. On each collecting day, the homework is due in the classroom at the beginning of the lecture. The corresponding assignment includes all the problems assigned before that collecting day and after the previous assignments. 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. The specific homework collecting dates are:

              1/21 (Tue.), 2/4(Tue.), 2/18(Tue.), 3/4(Tue.), 3/25(Tue.), 4/8(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:

1. Total score 90/100 or above will always be an A

2. Total score 60/100 or above will always be a C or higher.

Homework assignments: 

• Homework Assignment #1 (due Tue., 1/21):

• Assigned on Tue. 1/7:  Page 156,  1.2, 1.4
  

• Assigned on Thu. 1/9: Page 173  1.3

• Assigned on Thu. 1/16: Page 178,  2.4, 2.7

• Homework Assignment #2 (due Tue., 2/4):

• Assigned on Thu. 1/23: Page 186,  3.4, 3.5

• Homework Assignment #3 (due Tue., 2/18):

• Assigned on Tue. 2/4:  Page 196,    5.1,  5.2,  5.7

• Assigned on Thu. 2/6:  Page 221,   8.5

• Homework Assignment #4 (due Tue., 3/4):

• Assigned on Tue. 2/18:  Page 221,   8.9, 8.10(b)(c);  Page 205,   7.3, 7.4, 7.5

• Assigned on Tue. 2/25:  Page 226,   9.1, 9.2

• Homework Assignment #5 (due Tue. 3/25):

• Assigned on Tue. 3/4:   Page 231, 10.3;  Page 235,  11.2

• Assigned on Thu. 3/6:  Page 239,  12.8, 12.9

• Assigned on Tue. 3/11:  Page 244,   13.2, 13.4;  Page 248,  14.2, 14.3

• Homework Assignment #6 (due Tue. 4/8):

• Assinged on Tue. 3/25:  Page 259,  16.1, 16.4

• Assigned on Thu. 3/27:  Page 270,  1.1, 1.3, 1.5, 1.7, 1.10

• Assigned on Thu. 4/3:  Page 273,  2.1, 2.2;   Page 279,  3.4

• Homework suggested but not to be collected:

• Suggested on Tue. 4/8:  Page 283,  4.1, 4.3, 4.7

• Suggested on Tue. 4/15:  Page 290,  5.1, 5.4;   Page 298,  6.2, 6.5, 6.6

• Suggested on Thu. 4/17:  Page 307,  7.1, 7.6;   Page,  8.3, 8.4, 8.5