Math 3150 Partial Differential Equations for Engineering Students

Summer Semester (May 16-June 22), 2011

Instructor: David C. Dobson
Office:
LCB 210
Office hours:
MW 14:30--15:30 or by appointment (5-7660 or dobson@math).

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.


Exams:
Two in-class midterm exams and a comprehensive final exam will be given.  All exams are closed-book, closed-notes.  No computers, iPads, or wireless devices are allowed.

Exam I will be given during the second hour of class on Wednesday June 1.  This exam covers Section 1.1, and 2.1--2.4.  You may use personal notes prepared on one 8.5 x 11 inch piece of paper for this exam.  You may want to work through this practice exam, and then check the solutions.  The answer key to the actual exam is here.

Exam II will be given during the second hour of class on Monday June 13.  This exam covers Sections 3.1--3.6.  Same rules and format as Exam I, except use of a scientific calculator and two pages of notes is allowed.  Answer key.

The Final Exam will be given during the full two-hour class period on Wednesday June 22.  This exam is comprehensive, but will focus more heavily on material covered after Exam II.  You may use a scienfific calculator and three pages of notes.

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.