MATH 400 Topics:  Partial Differential Equations, Spring, 2003

BULLETIN DESCRIPTION: Study of  partial differential equations, boundary-value problems, and Fourier series.  Prerequisite: MATH 289, MATH 312.

INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088

Office Hours: 3 M, 2 Tu-Th, 10 F, Other Office hours by appointment

OBJECTIVES: After finishing this course, students should be able solve problems and to organize and effectively communicate ideas involving each of the following:

TEXT: Partial Differential Equations and Boundary Value Problems, by Nakhle Asmar, 2000, Prentice Hall

ASSESSMENT: All assessment will be based on both the correctness and quality of your work, including the quality of your presentation.

Assessment Category

Weight

Homework

25%

Midterm test

35%

Final examination

40%

Grade

Percent

Grade

Percent

Grade

Percent

Grade

Percent

A

91-100%

B

83-85%

C

70-74%

D

58-62%

A-

89-90%

B-

80-82%

C-

65-69%

D-

55-57%

B+

86-88%

C+

75-79%

D+

62-64%

F

0-54%

HOMEWORK: The surest way to succeed in this course is to study each day. To aid you in your study, homework problems will be assigned each week, and eight of these assgnments will be required. All assignments will be due at the beginning of class on Fridays, but they may be turned in as late as noon without penalty. Papers submitted later than noon on Friday will not be accepted.

MIDTERM TEST: This in-class test will cover the first half of the course.

FINAL EXAMINATION: This test is scheduled for 8-9:50 a.m., Tuesday, June 10. Attendance is required, so make your travel plans early with this appointment in mind.

CLASS ATTENDANCE: Students are expected to attend all classes. In addition, students are expected to give their full attention to the class discussions. Modifications in the homework assignments or test schedule may be announced in class.

DISABILITIES: If you have a physical and/or learning disability and require accommodations, please contact your instructor or the Special Services office at 527-2090. This syllabus is available in alternative print formats upon request. Please ask your instructor.

MATH 400, Partial Differential Equations Homework Schedule

H1:

Section 1.1 #1,2,8,10,13

 

Section 1.2 #3,5,7,9

H2:

Section 2.1 #1d,4,6,9a,15

 

Section 2.2 #3,4,6,9,17 (You need not calculate all 20 partial sums as requested in #6 and #9. Experiment and plot enough to make your point.)

 

Section 2.3 #4,11 (Look at #20-33)

 

Section 2.4 #4 (cosine series only),17ab

H3

Section 2.5 #4,6

 

Section 2.6 #9

 

Section 2.7 #14,20 (Look at #4,19,22,25)

H4

Section 2.8 #5

 

Section 3.1 #6,9

 

Section 3.2 #7

 

Section 3.3 #8a, (Look at #4)

H5

Section 3.4 #15abc (Look at #3)

H6

Section 3.5 #13

H7

Section 3.6 #13 Give numerical values of the first five coefficients. (Look at #4)

 

Section 3.7 #11 (Look at #2,3)

 

Section 3.8 #2

H8

Section 3.9 #8 (Look at #1)

 

Section 3.10 #6

 

Section 4.1 #5

 

Section 4.7 #3

H9

Section 4.2 #10 (Look at #1)

 

Supplemental Exercises

 

Section 6.2 #14

H10

Section 6.1 #9,10

 

Supplemental Exercises

 

A fourth part was added to Theorem 4. Show how the proof of this theorem given in class also covers this condition. Finally, use this theorem to prove that the Legendre polynomials are orthogonal on [-1,1] with weight function 1.

 

Look at More Supplemental Exercises

1