Math 353:

Ordinary and Partial Differential Equations


MTuWThF, 9:30am - 10:45pm, Physics 047

Professor Hubert Bray, Mathematics Department, Duke University
Office Hours:  Mondays (10:45am - 12:15pm) and Fridays (1:30 - 3pm), or by appointment.

Course Information

Announcements

Click on the above link for course information. 
Your homework for the semester is listed below.

Homework will be due on Tuesday and Fridays. 
Office hours are on Mondays (10:45am - 12:15pm) and Fridays (1:30 - 3pm), or by appointment.

Office hours are on the day of or the day before your homework is due so that you may ask questions about your homework in office hours. 
To take advantage of this as much as possible, try to get most of the homework done BEFORE office hours on the previous day.
This way you can use office hours to nail down the hard problems instead of just getting started on the easy ones.

The two exams are on Friday, May 30, and Friday, June 13.

The final exam is on Thursday, June 26, 2014, from 9am to noon, in our usual classroom, Physics 047.

Practice Exam 1 

Exam 1          Exam 1 Solutions          Exam 1 Grades

Practice Exam 2          Another Practice Exam 2

Exam 2          Exam 2 Solutions          Exam 2 Grades

Practice Final Exam

Final Exam          Final Exam Solutions


Homework

Homework #1 (due on Friday, May 16, 2014)

2.1:  1,4,14,20,28,33
2.2:  1,3,7,9,10,16,21,30,31,35
2.3:  8,9,10


Homework #2
(due on Tuesday, May 20, 2014)

2.4:  7,9,14,22
2.5:  3,22 
2.6:  1,5,7,11,12,18,21,25 
2.7:  1,7,12,15  


Homework #3
(due on Friday, May 23, 2014)

3.1:  6,7,11,16,28  
3.3:  17,18,31,34, 35 
3.4:  1,5,7,11,12,18,21,25  
5.4:  1,3,36


Homework #4
(due on Tuesday, May 27, 2014)

3.5:  5,8,16,17 
3.6:  3,5,8,15,18 


Homework #5
(due on Friday, May 30, 2014)

6.1:  2,3,5,6,9,26,27
6.2:  3,8,9,13,14,16
6.3:  6,14,16,17,21,33,37  


Homework #6
(due on Tuesday, June 3, 2014)

6.4:  3,5,9,12
6.5:  1,4,9,12,13,17 
6.6:  1,6,9,11,13,14 


Homework #7
(due on Friday, June 6, 2014)

10.1:  2,3,7,14,17,20 (see Hint 1)
10.2:  4,6,8,9,16,18,29


Homework #8
(due on Tuesday, June 10, 2014)

10.3:  2,4,13,14,15,17 (see Hint 2 for problems 13-15)
10.4:  3,5,6,7,12,16,17,35,36  
10.5:  3,4,7,11,12,22 


Homework #9
(due on Friday, June 13, 2014)

10.6:  1,2,8,11,12,15 
10.7:  4,8,9,10 
10.8:  2,8,10 
 

Homework #10 (due on Tuesday, June 17, 2014)

11.1:  2,3,4,5,8,10,19
11.2:  1,4,7,8,11,13,14,15
11.3:  3,5,7,9,11,12,13,20,21
 

Homework #11
(due on Friday, June 20, 2014)

5.1:  1,5,12,13,18,19,21,25 
5.2:  2,10,15 (no graphs necessary)
5.3:  3,8,11,15 (see Hint 3), 22, 23, 24  

Extra problems to do but not turn in (and will not be tested on the Final Exam):
5.4:  6, 21, 22, 28,37, 41, 42 
5.6:  3,7,8,11,14,16
5.7:  1, 9abc, 12


Hint 1:  Try a substitution y(t) = Ax sin(b ln x) + Bx cos(b ln x), where b^2 = \lambda - 1.

Hint 2:  Expand y in Fourier series, then identify its coefficients using the equation.

Hint 3:  Use Theorem 3.2.1., and note that the values of x and x^2 at x = 0.