MAE 105. Introduction to Mathematical Physics

Fall 2009

This course provides an introduction to applied partial differential equations and their applications in science and engineering. The covered topics include separation of variables, Fourier and Laplace transforms, Green's functions, and method of characteristics.

Instructor:

• Prof. Daniel M. Tartakovsky, Office: Room 577 EBU II

Teaching Assistants:

• On Shun Pak
• Viktoria Ros Gisladottir

Lectures:

• 12:30-1:50 PM, Tues & Thurs, WLH 2005

Discussion:

• 4:00-4:50 PM, Mondays, PETER 108

Office Hours:

• Instructor: 3:45-5:15 PM, Wed
• Teaching Assistants:
• 8:15-9:45 AM, Mon, Room 105 EBU II (Viktoria Ros Gisladottir)
• 3:30-5:00 PM, Fri, Room 105 EBU II (On Shun Pak)

Academic prerequisites:

• Admission to the major and grades C- or better in Phys. 2A-2B, Math 20D or 21D

Prerequisites by topic:

• Elementary mechanics,
• Elementary electricity and magnetism,
• Differential and integral calculus,
• Elementary ordinary differential equations

Textbook:

• R. Haberman, Applied Partial Differential Equations, 4th Edition, Prentice Hall, Inc.

Course grade:

• The final course grade will be based on weekly homework (10% of course grade), weekly 20-minute quizzes (25%), two midterm exams (30%), and final exam (35%).
• Weekly homework assignments, best five scores are kept
• Weekly 20-minute quizzes, closed book (Quiz 1, Quiz 2, Quiz 3, Quiz 4)
• First midterm exam, open book and notes: Th, October 22, 2009 (Sample) (Solutions)
• Second midterm exam, open book and notes: Th, November 12, 2009 (Solutions)
• Final exam, open book and notes: 11:30AM-2:30PM, Fr, December 11, 2009

Class notes and homework:

• Class notes are available in the pdf format

  here.

• Homework assignments:

(HW1) due date: Tu, October 6, 2009 (Solutions)

(HW2) due date: Tu, October 13, 2009 (Solutions)

(HW3) due date: Tu, October 27, 2009 (Solutions)

(HW4) due date: Tu, November 3, 2009 (Solutions)

(HW5) due date: Tu, November 17, 2009 (Solutions and Matlab codes 1 & 2)

(HW6) due date: Tu, November 24, 2009

Course syllabus:

• Course syllabus can be downloaded here.

Academic integrity:

• All students are expected to adhere to the UCSD Policy on Integrity of Scholarship. Students are encouraged to discuss course topics and homework with each other, but must work on and submit their own homework assignments and exams.