email:   mccuangt23 proton.me

Text:

Elementary Applied Partial Differential Equations, Fourth Ed. by Richard Haberman, Prentice-Hall

Purchasing of the text is recommended but not strictly required; any edition should do, but the fourth edition is the one I will use. According to my recollection, some earlier editions were a bit better, so if you can find one of those you might get it...also for some diversity. I will type up and post assignments, so you should be able to get precise problem statements without the text. If you need additional reading or review, I will tell you to obtain and look at a copy of Haberman. Of course, you are also encouraged to listen to the lectures and discuss any questions you have (with me) during the lectures or during office hours. I really like for students to ask good questions. Beyond that, any decent calculus text (Salas, Hille, and Etgen, Thomas, Schwarz, Stewart, Anton,...) should provide adequate prerequisite reading, assuming of course you know stuff like algebra and trigonometry (maybe a little arithmetic).

Supplemental Texts:

Fourier Series and Orthogonal Functions by Harry Davis, Dover

Also, most any decent text with a title like Advanced Engineering Math should cover all the material in this course (more or less). Some recommended authors in this category might be Peter O'Neill, Erwin Kreyszig, Erich Zauderer, and David Zill.

This course is an introduction to the basic partial differential equations of nineteenth century physics and engineering: The heat equation, the wave equation, and Laplace's equation. In the process of understanding the basic properties of solutions of these equations, we will study series methods (eigenfunction expansion) and transform methods. Fourier series are interesting by themselves, so just that topic should be worth the cover price for an engineer.

Syllabus

Lecture Schedule and Homework

Course activities:

There will be approximately 10 assignments over the course of the semester. Their weights and names will be approximately as follows:

Assignment 1 10%
Assignment 2 10%
Assignment 3 (Exam 1) 10%
Assignment 4 10%
Assignment 5 10%
Assignment 6 10%
Assignment 7 (Exam 2) 10%
Assignment 8 10%
Assignment 9 10%
Assignment 10 (Final Exam) 10%

No special note or distinction need be made concerning assignments designated as "exams." This is purely administrative. There are no in-class exams. You may work on an assignment any time after it is made available on the schedule page. You may turn in your work on an assignment at any time after an upload link for that assignment has appeared on canvas until the end of the semester. If you want an assignment graded, turn in your work on canvas before the due date.

(Below 60% C; 60-85% B; 86-100% A)

Additional Materials:
Solution of Assignment 4 Problem 4 (under construction)

Additional Materials from past semesters:
Lecture 2 notes
Best fitting circle
Orthogonality
Plotting and Animating Graphs (Mathematica notebook) exported in pdf
A brief introduction to transport equations
Intrinsic Mathematics
Calculating Fourier Coefficients
Assignment 1 Problems 1 and 5 (solutions)
Assignment 2 Problem 2 (solution)
Solutions for Problems 7-10 of Assignment 3 Mathematica Notebook in pdf
Stokes' flow around a cylinder
Wave Equation
Hanging Slinky Mathematica Notebook in pdf format
Second Hanging Slinky Mathematica Notebook (with new data) in pdf format
Solution for Problem 1 of Assignment 6 Mathematica Plots
Hanging Things
Wave Motion (for 1-D deformations)
Solutions for Assignment 6 (all but Problem 10) Mathematica Plots
Solutions for Assignment 8 (a start on Problem 2---actually most of it)

Administrative Details
Including grading policy.

(Important) Announcements

Exam 1 Tuesday October 12, 2021