MATH
413, Partial Differential Equations, Spring, 2005
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, 11 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, 2nd
edition, by Nakhle Asmar, 2005, Prentice Hall
ASSESSMENT: All assessment will be based on both the correctness and quality of your work, including the quality of your presentation.
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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 nine of these assignments 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 2-3:50 p.m., Tuesday, June 7. 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 413, PDE, Tenatative Homework Schedule
H1: |
Section 1.1 #1,2,8,10,13 |
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Section 1.2 #3,5,7,9 |
H2: |
Section 2.1 #1d,4,6,9a,15 |
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Section 2.2 #3,6,9,17 (You need not calculate all 20 partial sums as requested in #6 and #9. Experiment and plot enough to make your point.) |
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Section 2.3 #4 (See #9 in section 2.2),11 (Look at #20-33) |
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Section 2.4 #4a (cosine series only),17ab |
H3 |
Section 2.5 #4,6 |
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Section 2.6 #9 |
H4 |
Section 2.9 #14,24 (Look at #4,19,26,29) |
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Section 2.10 #5 |
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Section 3.1 #6,9 |
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Section 3.2 #7 |
H5 |
Section 3.3 #8a, (Look at #4) |
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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) |
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Section 3.7 #11 (Look at #2,3) |
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Section 3.8 #2 |
H8 |
Section 3.9 #8 (Look at #1) |
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Section 3.11 #6 |
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Section 4.1 #5 |
H9 |
Section 4.7 #3 |
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Section 4.3 #10 (Look at #1) |
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Section 6.2 #14 |
H10 |
Section 6.1 #9,10 |