MAE502 Partial Differential Equations in Engineering (Spring 2013)


Syllabus (updated 1/4/2013)


Schedule 

Homework is due before class on the due date.

Wed 1/23 HW1 posted   
Wed 2/6  HW1 due, HW2 posted  
Wed 2/20 HW2 due, HW3 posted 
Mon 3/4 Midterm
Wed 3/6  HW3 due, HW4 posted
--- 3/10 - 3/17 spring break ---
Wed 3/27 HW4 due, HW5 posted
Wed 4/10 HW5 due, HW6 posted
Wed 4/24 HW6 due 
Mon 4/29 Last lecture before final
Mon 5/6, 2:25-4:25 pm, Final exam

==========================
We have finished: 

Ch.1, whole chapter (excludes the discussion on spherical coordinate,
                     Eqs. (1.5.21) and (1.5.22))
Ch.2, whole chapter except Sec 2.5.2 and 2.5.3 
Ch.3, Sec 3.1,3.2,3.3,3.4
Ch.4, Sec 4.2, 4.3, 4.4
Ch.5, Sec. 5.3, 5.5, (5.8 discussed but excluded from midterm)
Ch.7, Sec 7.1,7.2 (excluding 7.2.2), 7.3 - chapter excluded from midterm
Ch.8, Sec 8.2 (excluding the discussion on time-dependent b.c.)

-------- after midterm (= scope for final exam) --------
Ch.3,  Sec 3.6
Ch.8,  Sec 8.3 (8.6 was discussed but will be excluded from the final)
Ch.9,  Sec 9.2
Ch.10, Sec 10.2, 10.3, 10.4.2, 10.5
Ch.12, Sec 12.1, 12.2, 12.6 (excluding Sec 12.6.4)
Slide sets #10, #11, #12, #13, #14, and #15
Intro to nonlinear PDE



Homework

Homework #1
Solutions

Homework #2
Note on how to use the contour function in Matlab
Solutions

Homework #3
Solutions

Homework #4
Solutions

Homework #5
Solutions

Homework #6
Solutions


Slides

Slides #1 - First-day introduction, 1/7

Slides #2 - General remarks, 1/7

Slides #3 - Eigenvalue problem (for self study)

Slides #4 - Separation of variables, heat equation, 1/14

Slides #5 - Qualitative discussion of heat equation, 1/9, 1/14

Slides #6 - Orthogonality relation, 1/14, 1/16

Math cheat sheet

Slides #7 - Example for the solution of Laplace equation, 2/4

Slides #8 - Examples of Fourier Sine/Cosine series, 2/18, 2/20

Slides #9 - Sturm-Liouville problem, 2/20

Slides #10 - Fourier Sine transform, 3/18,3/20

Slides #11 - Fourier transform, 3/18,3/20

Slides #12 - Additional example for nonhomogeneous PDE

Slides #13 - Fourier transform for nonhomogeneous PDE

Slides #14 - Example for the method of characteristics

Slides #15 - Another example for the method of characteristics



Matlab

Basic Matlab programming

Links to individual matlab example codes


Very basic Matlab setup guide for ASU users
Update: In p.3, the version "R2009b" is out of date.
Use R2011a or R2012a/b instead.