MATH 3150-02 — Partial Differential Equations for Engineering Students


Spring 2021


Instructor: Akil Narayan
Email: akil(-at-)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.

Problem set description Due date Homework
0 : Submission practice January 26, 2021 PDF
1 : The heat equation and equilibrium February 2, 2021 PDF
2 : Equilibrium solutions and superposition February 9, 2021 PDF
3 : Separation of variables February 16, 2021 PDF
4 : Separation of variables, II February 23, 2021 PDF
5 : Laplace's equation March 16, 2021 PDF
6 : Laplace's equation March 23, 2021 PDF
7 : The wave equation March 30, 2021 PDF
8 : The Fourier transform April 13, 2021 PDF
9 : Fourier transform properties April 20, 2021 PDF
10 : PDEs on unbounded domains April 27, 2021 PDF



Miscellaneous handouts


The following are various relevant handouts.

Description Posting date Download
Lecture 00 slides: Partial differential equations January 15, 2021 PDF
                             Marked slides from class January 21, 2021 PDF
Lecture 01 slides: The heat equation January 22, 2021 PDF
                             Marked slides from class January 26, 2021 PDF
Lecture 02 slides: Boundary conditions and equilibrium January 22, 2021 PDF
                             Marked slides from class January 28, 2021 PDF
Lecture 03 slides: Linearity and superposition January 29, 2021 PDF
                             Marked slides from class February 2, 2021 PDF
Lecture 04 slides: Separation of variables January 29, 2021 PDF
                             Marked slides from class February 18, 2021 PDF
Midterm 1 review notes February 23, 2021 PDF
Midterm 1 formula sheet February 5, 2021 PDF
Midterm 1 practice February 5, 2021 PDF
Lecture 05 slides: Laplace's equation February 27, 2021 PDF
                             Marked slides from class March 2, 2021 PDF
Lecture 06 slides: Fourier series March 14, 2021 PDF
                             Marked slides from class March 18, 2021 PDF
Lecture 07 slides: The wave equation March 19, 2021 PDF
                             Marked slides from class March 23, 2021 PDF
Midterm 2 formula sheet March 22, 2021 PDF
Midterm 2 Review session notes March 30, 2021 PDF
Lecture 08 slides: The Fourier transform April 2, 2021 PDF
                             Marked slides from class April 6, 2021 PDF
Lecture 09 slides: Fourier transform properties April 11, 2021 PDF
                             Marked slides from class April 15, 2021 PDF
Final exam formula sheet April 11, 2021 PDF
Lecture 10 slides: PDEs on infinite domains April 16, 2021 PDF
                             Marked slides from class April 20, 2021 PDF
Final exam review session notes Apil 27, 2021 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