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Christopher Cashen

Classroom change

Effective immediately our class will be held in JTB 110. We will meet there for the remainder of the semester, including the final exam.

Course Calendar and Homework

8/31-9/2 2.1-2
9/2Homework 1 due 3pm
A.1: 2, 4, 12, 22, 23
A.2: 2, 4, 6, 8
1.1: 1, 4, 5, 6
1.2: 3, 4
9/7 Labor Day, no class
9/9 2.3
9/9Homework 2 due 3pm
1.2: 6, 13, 14
2.1: 1-4
2.2: 1-4
Some of these problems require graphs. You may sketch these by hand (neatly).
9/14-16 2.4 and review
9/16 Homework 3 due 3pm
Example for HW3
Maple worksheet for example for HW3
Maple worksheet with more Fourier sum examples.
PDF version of the Fourier sum examples.
Note: if you open the Maple worksheet files in a text browser you will just see garbage. You need to open them with Maple.
9/21 Exam 1 on 1.1-2, 2.1-4
9/23 3.1
9/28-30 3.2-4
9/30Homework 4 due 3pm
2.4: 1-4 (part (a) only)
3.1: 1-4, 7(a)-(d), 9
From the exam, for any problem that you lost points on, rewrite a correct solution on a separate paper. These should be written as homework problems, write the statement of the problem, the solution (if applicable) and then your argument. Submit these solution with your exam, separate from HW4.
10/5-7 3.5-6
10/7HW 5 due 3pm
3.3: 1-6 (part (a) only)
3.5: 1-4
10/12-14 No Class, Fall Break
10/19 review
10/19Homework 6 due 3pm
3.3: 10(a)-12
3.5: 11-14
3.6: 1-4, 7
10/21 Exam 2 on 3.1-6 Solutions
10/26-28 3.7-8
11/2-4 3.9, 4.1
11/4HW 7 due at 3pm
3.7: 1-3 (part a), 9 (ok to plot by hand), 13
3.8: 1-3
11/9-11 4.2-3
11/11HW 8 due at 3pm
3.7: 1-3 part b These require you to plot graphs in Maple or other program of your choice. Note that you did part a for these problems last week.
3.7: 15 (this is also a computer problem)
3.9: 1-5
Maple worksheet for 2 dimensional wave and heat equation examples.
PDF printout of the Maple worksheet.
11/16-18 4.4 and review
11/18HW 9 due at 3pm
4.7: 1-8, 15
4.8: 2(a), 3-5
11/23 Exam 3 on 3.7-9, 4.1-4.2, and selected material from 4.7-9 Solutions
11/25 4.3-4
11/30-12/2 7.1-2
12/7-9 7.3-4
12/9HW 10 due at 3pm
7.1: 1-2
7.2: 1-4 part a (ok to sketch graphs by hand), 20
7.3: 1, 2, 7-9
12/16HW 11 due at 8am
Write a one page essay on "series expansions in partial differential equations".
Your essay should be written in English with no mathematical symbols.
We have seen many examples of PDE's that we solve by building the solution as a series of some kind of "basic" functions. Your essay should address important properties of these basic functions such as completeness, orthogonality, and relationship to the original initial-boundary value PDE.
12/16 Final Exam 8-10am in JTB 110


printer friendly syllabus

Math 3150-002 Partial Differential Equations for Engineers


Christopher Cashen, Ph.D.
Email: cashen AT math * utah *edu
Office: JWB 126
Web page:
Office Hours: Tuesday 2-3 and 6-7, or by appointment


Time: MW 8:35-09:25
Location: LS 102


MATH 2250 and either 1260 or 2210.


Partial Differential Equations with Fourier Series and Boundary Value Problems, second edition by Nakhlé H. Asmar.

There are also supplements to the book, including a Student Solution Manual, on the author's webpage.


Fourier Series, wave equation, heat equation, Laplace's equation, Fourier transform. In the text: Chapters 1, 2.1-4, 3.1-9, 4.1-4, 7.1-4


Course announcements may be made via email. You are responsible for monitoring your University assigned email address. You are also responsible for monitoring the course webpage. Homework assignments will appear on the course webpage, they will not be announced in class. Some homework assignments will require you to use a computer mathematics program and print your results. This can be achieved using Maple in the computer lab in the Math Learning Center.

Quality of Work:

You are expected to conduct yourself in a professional manner. This includes classroom etiquette, email correspondence, and written submissions (homeworks, quizzes and exams).

Anything that you submit should be neat, legible, and clearly written.


There will be weekly homework assignments. Homework will be due Wednesdays at 3pm. Late homework will not be accepted. You may submit homework to me personally in class or during office hours, or put it in my mailbox, on the main floor of JWB. You may also email scanned or typed assignments. However, be aware that email does not always transmit instantaneouly. Your email must be received by 3:00. Also, do not send attachments in proprietary formats unless so directed. You may work together to solve homework problems, but the write-ups must be independent.

Each problem should be formatted:
Problem number and statement of the problem.
Argument leading to the solution.
Space between problems.

Your submissions should look nice: no ragged spiral notebook edges, no messy erasures, etc. You should be submitting your final draft, not your first draft. You will probably have to write more than one.

If you fail to follow these instructions your assignment will be rejected.

Midterm Exams:

There will be three midterms.
Exam 1: Monday, September 21 on 1.1-2 , 2.1-4
Exam 2: Wednesday, October 21 on 3.1-6
Exam 3: Monday, November 23 on 3.7-9, 4.1-4

Final Exam:

There will be a mandatory final exam on Wednesday, December 16 from 8am to 10am. The final exam will be comprehensive. The final will be in the usual classroom.


Homework 25%
Midterm 3 @ 15%
Final 30%

For Additional Help:

Tutoring Lab: T. Benny Rushing Mathematics Student Center
Private Tutoring: University Tutoring Services
There is also a list of tutors at the Math Department office, JWB 233

Students with Disabilities:

The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in the class, reasonable prior notice needs to be given to the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make arrangements for accommodations.

All written information in this course can be made available in alternative format with prior notification to the Center for Disability Services.

This syllabus is subject to change. You will be notified of any changes via email.

This page created and maintained by cashen AT math * utah *edu
Last updated  August 26, 2009.

"The views, opinions and conclusions expressed in these pages are strictly those of the page author. The contents of the site have not been reviewed or approved by the University of Utah."