MAE 105 Spring Quarter 2015

Introduction to Mathematical Physics

Spring Quarter 2015

Stefan LLEWELLYN SMITH
EBUII 574
x23475
http://web.eng.ucsd.edu/~sgls

This is the homepage for MAE105 during Spring Quarter 2015. Last updated: June 12, 2015.

E-mail

Please make sure the e-mail address UCSD has on file for you is correct and read your e-mail. If you do not do this, you may miss crucial information. See UCSD PPM 160-3.

Practical details

Lectures: MWF 10:00 am-10:50 am in PCYNH 122. Fourth hour: W 9:00–10:00 am in PCYNH 122. Office hours: Tu 1-3 pm in EBU II 574. TA: Greg Wagner (glwagner@ucsd.edu), office hours M 11:30 am–1:00 pm in EBU II 305 and F 11:00 am–12:30 pm in EBU II 105.

Required text

The book is Applied partial differential equations with Fourier series and boundary value problems by Richard Habermann. I'm familiar with the fourth edition and haven't tracked down the differences with the fifth edition. It shouldn't matter provided you can work out which lectures correspond to which chapters.

Ted site

Piazza site

2012 website with homeworks, quizzes, etc...

MAE Syllabus

Lecture Schedule (links on dates to slides)

Mar 30: Chapter I Introduction
Apr 1: Review of mathematical concepts
Apr 1: Chapter II Deriving the Equations of Mathematical Physics
Apr 3: (Cont.)
Apr 6: (Cont.)
Apr 8 (I will be away): Review session
Apr 8 (I will be away): Chapter III Method of Separation of Variables HW I
Apr 10: (Cont.)
Apr 13: (Cont.)
Apr 15: (Cont.)
Apr 15: Quiz I Math
Apr 17: (Cont.)
Apr 20: (Cont.)
Apr 22: Chapter IV Fourier Series
Apr 22: (Cont.)
Apr 24 (I will be away): Review session HW II
Apr 27: Chapter V Sturm-Liouville Problems (Matlab file)
Apr 29: Worked problems
Apr 29: (Cont.) HW III
May 1: (Cont.) (Matlab file)
May 4: Chapter VI Separation of variables in higher dimensions
May 6: (Cont.)
May 6: Quiz II
May 8: (Cont.)
May 11: Chapter VI Nonhomogeneous problems and Green's functions
May 13: Worked problems
May 13: (Cont.) HW IV
May 15: (Cont.)
May 18: Chapter VII Fourier Transforms
May 20: Worked problems
May 20: (Cont.) HW V
May 22: (Cont.)
May 25: Memorial Day Holiday
May 27: (Cont.)
May 27: Quiz III
May 29: Chapter VIII Method of characteristics
June 1: (Cont.)
June 3: (Cont.) HW VI
June 3: (Cont.) Worked problems
June 5 (I will be away): Review session

Homework

Homework policy: you may discuss problems among yourselves, but you should write up and hand in homework individually. Homework should be handed in during class on Wednesday.

I Due 4/8/2015. Solution.
II Due 4/24/2015. Solution. (Matlab file)
III Due 4/29/2015. Solution.
IV Due 5/13/2015. Solution.
V Due 5/20/2015. Solution.
VI Due 6/3/2015. Solution.

Quizzes

There will be three 50-minute quizzes. You may bring a single hand-written sheet of notes.

Review material

Review of basic mathematics (Murakami).

Review notes (Pak).

Lecture notes (Matusik who TAed F2012).

Final

Monday June 8, 8 am–11 am. You may bring TWO hand-written sheets of notes. Solution.

Grading policy

I remind you of UCSD's policy on academic integrity. I may rescale the different components (homework, quizzes and final) to arrive at the final grade. A preliminary breakdown is 20% + 30% + 50%. I will replace your cumulative grade by your final grade if the latter is better. In the previous classes where I have done this, very few students have benefited from this, so please do not rely on this as a strategy for this class.