MATH 3150-04 — Partial Differential Equations for Engineering Students


Spring 2019


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