Prerequisites: (Math 2250 or (Math 2270 and 2280)) and (Math 2210 or 1260 or 1280) or consent of instructor.
Text: Partial Differential
Equations with Fourier Series and Boundary Value Problems, second
edition,
by
Nakhle
H.
Asmar.
ISBN
0-13-148096-0.
Course Description:
2
credits.
Fourier
series
and
boundary-value
problems
for
the
wave,
heat,
and Laplace equations, separation of variables in
rectangular and radial geometries, Fourier transform.
Homework: Will be assigned regularly and will usually be due
at the beginning of class on Monday of each week. Late homework
cannot be accepted. A random subset of problems from each assignment
will be graded. To succeed in the course, it is necessary to do and
understand all of the homework.
| Identifier |
Due date |
Assignment |
Key |
| Homework 1 |
23 May, 2011 |
Section 1.1: 1,
2(a), 5, 6, 9(a)(c), 10, 11, 12. Section 2.1: 2, 3, 6, 8, 9, 12, 27. Section 2.2: 1, 2, 6(a), 9(a), 10(a), 11(a), 19(a)(b). |
homework1.pdf
|
| Homework 2 |
1 June, 2011 |
Section 2.3: 1, 2,
3, 6, 20(a)(b), 22. Section 2.4: 2(a), 3(a), 6(a), 10, 15. Section 3.1: 1, 2, 4, 7(a)(b)(c), 9. Section 3.2: 1, 7. Section 3.3: 3(a), 4(a), 5(a), 12(a). |
homework2.pdf |
| Homework 3 |
8 June, 2011 |
Section 3.4: 2, 3,
4, 8. Section 3.5: 1, 2, 4, 9, 11, 14. Section 3.6: 1, 2, 4. |
homework3.pdf |
| Homework 4 |
15 June, 2011 |
Section 3.7: 1(a),
2(a), 3(a), 4(a), 10, 12, 13. Section 3.8: 1, 2, 5. Section 3.9: 1, 3, 4. Section 4.1: 2, 3. Section 4.2: 1, 2. |
homework4.pdf |
| Homework 5 |
22 June, 2011 |
Section 4.3: 3, 5. Section 4.4: 1, 2, 3, 4, 7, 8. Section 7.1: 1, 2, 4, 6, 10, 11. Section 7.2: 2(a), 3(a), 6(a), 35. Section 7.3: 1, 2, 3, 7, 8, 13. |
Grades: Your grade will be determined by your scores on three exams, and the total of your homework scores. The dates and weights of each of these are as follows.
| Homework |
(weekly) |
30% |
| Exam I |
(Wednesday, June 1, one hour) |
20% |
| Exam II |
(Monday, June 13, one hour) |
20% |
| Final Exam |
(Wednesday, June 22, two hours) |
30% |
There will be no
opportunities for extra credit. Makeups for exams and homework
will only be given in case of official University-excused absences.
Intense course notice: Covering a full semester course in six weeks presents unusual challenges for learning. This course will necessarily proceed at a much faster pace than usual. Students are expected to consistently spend a significant amount of time after each class to study, do homework problems, and learn the material. Falling behind would be disastrous.
Reading and lectures: Prior to class meetings, students are expected to read, and be prepared to discuss, course material in the text.Students with disabilities are encouraged to contact the instructor at the beginning of the semester to discuss special accomodations for the course.
Copyright notice: All printed and
electronic material provided to you in this course are protected by
copyright laws.