MATH 3150-02 — Partial Differential Equations for Engineering Students
Spring 2021
| Instructor: |
Akil Narayan |
| Email: |
akil sci.utah.edu |
| Office phone: |
+1 801-581-8984 |
| Office location: |
WEB 4666, LCB 116 |
| Office hours: |
TBA (on Zoom) |
| Class meeting time: |
Tuesday, Thursday 9:10am - 10:30am |
| Class meeting location: |
Zoom |
| 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 Tuesdays.
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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0 : Submission practice
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January 26, 2021
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PDF
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1 : The heat equation and equilibrium
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February 2, 2021
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PDF
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2 : Equilibrium solutions and superposition
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February 9, 2021
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PDF
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3 : Separation of variables
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February 16, 2021
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PDF
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4 : Separation of variables, II
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February 23, 2021
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PDF
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5 : Laplace's equation
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March 16, 2021
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PDF
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6 : Laplace's equation
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March 23, 2021
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PDF
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7 : The wave equation
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March 30, 2021
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PDF
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8 : The Fourier transform
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April 13, 2021
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PDF
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9 : Fourier transform properties
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April 20, 2021
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PDF
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10 : PDEs on unbounded domains
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April 27, 2021
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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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Lecture 00 slides: Partial differential equations
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January 15, 2021
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PDF
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Marked slides from class
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January 21, 2021
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PDF
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Lecture 01 slides: The heat equation
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January 22, 2021
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PDF
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Marked slides from class
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January 26, 2021
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PDF
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Lecture 02 slides: Boundary conditions and equilibrium
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January 22, 2021
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PDF
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Marked slides from class
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January 28, 2021
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PDF
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Lecture 03 slides: Linearity and superposition
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January 29, 2021
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PDF
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Marked slides from class
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February 2, 2021
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PDF
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Lecture 04 slides: Separation of variables
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January 29, 2021
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PDF
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Marked slides from class
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February 18, 2021
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PDF
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Midterm 1 review notes
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February 23, 2021
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PDF
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Midterm 1 formula sheet
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February 5, 2021
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PDF
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Midterm 1 practice
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February 5, 2021
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PDF
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Lecture 05 slides: Laplace's equation
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February 27, 2021
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PDF
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Marked slides from class
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March 2, 2021
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PDF
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Lecture 06 slides: Fourier series
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March 14, 2021
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PDF
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Marked slides from class
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March 18, 2021
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PDF
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Lecture 07 slides: The wave equation
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March 19, 2021
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PDF
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Marked slides from class
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March 23, 2021
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PDF
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Midterm 2 formula sheet
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March 22, 2021
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PDF
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Midterm 2 Review session notes
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March 30, 2021
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PDF
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Lecture 08 slides: The Fourier transform
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April 2, 2021
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PDF
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Marked slides from class
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April 6, 2021
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PDF
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Lecture 09 slides: Fourier transform properties
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April 11, 2021
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PDF
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Marked slides from class
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April 15, 2021
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PDF
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Final exam formula sheet
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April 11, 2021
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PDF
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Lecture 10 slides: PDEs on infinite domains
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April 16, 2021
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PDF
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Marked slides from class
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April 20, 2021
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PDF
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Final exam review session notes
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Apil 27, 2021
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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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