MATH 3150-04 — Partial Differential Equations for Engineering Students
Spring 2019
Instructor: |
Akil Narayan |
Email: |
akilsci.utah.edu |
Office phone: |
+1 801-581-8984 |
Office location: |
WEB 4666 or CSC 214D |
Office hours: |
Monday 2:30-4pm, Tuesday 3:30-5pm |
Class meeting time: |
Monday, Wednesday 6:00pm - 7:20pm |
Class meeting location: |
WEB 1450 |
Textbook (required): |
Richard Haberman. Applied Partial Differential Equations with Fourier Series Boundary Value Problems (5th edition), ISBN-13 9780134995434 |
Fourier series and boundary-value problems for the wave, heat, and Laplace equations, separation of variables in rectangular and radial geometries, Fourier transform.
The course syllabus is here: PDF
The Department of Mathematics provides drop-in tutoring services for this course. Please see https://www.math.utah.edu/undergrad/mathcenter.php for details. Note that you should schedule your visit during a time when a knowledgable tutor is available who can address your questions. Each tutor's specialties and schedule are shown on the webpage above.
Graded assignments
Individual grades for each assignment will be posted to Canvas. (uNID login required.) Note that the letter grades appearing on Canvas are not representative of predicted final letter grades for the course. Final letter grades will be computed according to the rubric and policies on the syllabus.
Homework assignments
Homework will be collected in-class on Wednesdays.
Late work will not be accepted without advance approval from the instructor.
Problem set description
|
Due date
|
Homework
|
1 : Conservation and the heat equation
|
January 16, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
2 : Equilibrium solutions and superposition
|
January 23, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
3 : Separation of variables
|
January 30, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
4 : Separation of variables, part 2
|
February 11, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
5 : Practice midterm 1
|
February 20, 2019
|
PDF
|
6 : Laplace's equation
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March 6, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
7 : Fourier Series
|
March 18, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
8 : The wave equation
|
March 25, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
9 : The Fourier Transform
|
April 10, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
10 : The Fourier Transform and PDE's
|
April 17, 2019
|
PDF
|
Key and solutions
|
|
PDF
|
Miscellaneous handouts
The following are various relevant handouts.
Description
|
Posting date
|
Download
|
Quiz example
|
January 1, 2019
|
PDF
|
Quiz 1
|
January 23, 2019
|
PDF
|
Quiz 2
|
January 30, 2019
|
PDF
|
Quiz 3
|
February 11, 2019
|
PDF
|
Practice midterm 1
|
February 11, 2019
|
PDF
|
Midterm 1 formula sheet
|
February 11, 2019
|
PDF
|
Quiz 4
|
February 13, 2019
|
PDF
|
Midterm 1
|
March 5, 2019
|
PDF
|
Midterm 2 formula sheet
|
March 18, 2019
|
PDF
|
Quiz 6
|
April 16, 2019
|
PDF
|
Quiz 7
|
April 16, 2019
|
PDF
|
Midterm 2
|
April 22, 2019
|
PDF
|
Final exam formula sheet
|
April 16, 2019
|
PDF
|
Software
The following are links to software used during class demonstrations.
Description
|
Language
|
Download
|
1D heat and wave equation solutions on bounded domains
|
matlab
|
github
|
Resources
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