MAE 294A/SIOC203A Fall Quarter 2018

Methods in Applied Mechanics

Fall Quarter 2018

Stefan LLEWELLYN SMITH
EBUII 574
x23475
http://www-mae.ucsd.edu/~sgls

This is the homepage for MAE294A/SIOC203A during Fall Quarter 2018. Last updated: December 17, 2018.

Practical details

Lectures: MWF 12-12:50 pm, Pepper Canyon Hall 120. My e-mail address is sgls@ucsd.edu, but if you have a question, talk to me before or after class, or come to office hours. Office hours: Th 930–11 am (probably partly in MAE in EBU II 574, partly at SIO in Keck 365). It is your responsibility to come and find me if you have questions, concerns, etc... TA: Tianyi Chu (tic173@eng.ucsd.edu); office hours by appointment, problem classes WTh 3–4 pm in EBU II 305.

Textbook

Mathematical Methods for Physics and Engineering by Riley, Hobson and Bence (2006, Cambridge University Press, 3rd edition, 1362 pages). It's probably worth buying. I have placed it on reserve at the library, including an electronic copy.

Syllabus

Basic solutions of linear and nonlinear ODEs.
Green's functions for ODEs.
Sturm–Liouville theory.
First order PDEs. The method of characteristics.
Classification of PDEs and important examples (heat, Laplace and wave equations).
Separation of variables.
Green's functions for PDEs.
Similarity solutions.

Lecture Schedule (approximate)

Sep 28: I Linear ODEs
Oct 1: (Cont.)
Oct 3: (Cont.)
Oct 5: (Cont.) HW 0 (review)
Oct 8: (Cont.)
Oct 10: (Cont.)
Oct 12: (Cont.) HW I due
Oct 15: (Cont.)
Oct 17: (Cont.)
Oct 19: (Cont.) HW II due
Oct 22: (Cont.) Bessel function details.
Oct 24: (Cont.)
Oct 26: (Cont.) HW III due
Oct 29: (Cont.)
Oct 31: II Nonlinear ODEs
Nov 2: (Cont.)
Nov 5: I am away Midterm
Nov 7: I am away (Cont.)
Nov 9: I am away (Cont.) III PDEs General and Particular Solutions
Nov 12: Veterans Day holiday
Nov 14: (Cont.) String paper
Nov 16: (Cont.) HW IV due
Nov 19: I am away Tianyi review session
Nov 21: (Cont.)
Nov 23: (Cont.) Thanksgiving holiday
Nov 26: Problem class
Nov 28: (Cont.) IV Separation of Variables
Nov 30: (Cont.) HW V due
Dec 3: (Cont.)
Dec 5: (Cont.)
Dec 7: (Cont.) HW VI due

Homework

Homework policy: you may discuss problems among yourselves, but everything you write and hand in should be your own work. Regrades: you should write a short explanation and turn it in to Tianyi within one week of the homework's due date.

0 (review). Not to be handed in. Solution.
I Due Oct 12. Solution.
II Due Oct 19. Solution.
III Due Oct 26. Solution.
IV Due Nov 16. Solution.
V Due Nov 30. Solution.
VI Due Dec 7. Solution.

Grading policy

I remind you of UCSD's policy on academic integrity. I may rescale the three components (homework, midterm and final) separately to arrive at the final grade.