MATH 3150-04 — Partial Differential Equations for Engineering Students
Spring 2018
| Instructor: |
Akil Narayan |
| Email: |
akil sci.utah.edu |
| Office phone: |
+1 801-581-8984 |
| Office location: |
WEB 4666 or CSC 214D |
| Office hours: |
Monday 3pm-5pm, Tuesday 10am-12pm |
| Class meeting time: |
Monday, Wednesday 6:00pm - 7:20pm |
| Class meeting location: |
WEB (Watson) 1450 |
| Textbook (required): |
Edwards, Penney, and Haberman. Linear Algebra and Differential Equations: with Introductory Partial Differential Equations, ISBN-13 978-1-269-42557-5, Custom edition for the University of Utah |
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.
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Problem set description
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Due date
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Homework
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1 : Conservation and the heat equation
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January 17, 2018
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PDF
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Key and solutions
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PDF
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2 : Equilibrium solutions and superposition
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January 24, 2018
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PDF
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Key and solutions
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PDF
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3 : Separation of variables
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January 31, 2018
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PDF
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Key and solutions
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PDF
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4 : Separation of variables
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February 7, 2018
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PDF
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Key and solutions
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PDF
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5 : Fourier Series
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March 5, 2018
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PDF
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Key and solutions
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PDF
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6 : The wave equation
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March 12, 2018
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PDF
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Key and solutions
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PDF
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7 : The Fourier Transform
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April 4, 2018
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PDF
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Key and solutions
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PDF
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8 : The Fourier Transform and PDEs
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April 11, 2018
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PDF
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Key and solutions
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PDF
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9 : Fourier Transform and PDEs
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April 23, 2018
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PDF
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Key and solutions
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PDF
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Miscellaneous handouts
The following are various relevant handouts.
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Description
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Posting date
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Download
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Quiz example
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January 8, 2018
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PDF
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Quiz 1
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January 24, 2018
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PDF
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Quiz 2
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January 31, 2018
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PDF
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Quiz 3
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February 5, 2018
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PDF
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Midterm 1 formula sheet
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February 5, 2018
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PDF
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Midterm 1 example test
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February 5, 2018
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PDF
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Midterm 1
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February 21, 2018
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PDF
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Separation of variables practice problems
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February 7, 2018
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PDF
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Midterm 2 formula sheet
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March 5, 2018
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PDF
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Midterm 2
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April 4, 2018
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PDF
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Final exam formula sheet
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April 4, 2018
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PDF
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Final exam example test
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April 11, 2018
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PDF
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Software
The following are links to software used during class demonstrations.
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Description
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Language
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Download
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1D heat and wave equation solutions on bounded domains
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matlab
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github
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Resources
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