Physics 440: Mathematical Methods of Physics Spring 2007

Problem Sets for Part One: Series and Complex Analysis

Below are the problems I have planned for the first part of this course; I reserve the right to change the problem sets and their due dates based on class progress or unforeseen circumstances. Detailed solutions will be handed out at the beginning of class on each due date, and so I cannot accept late assignments. Show all your work and reasoning. If you have any questions or concerns, please contact me as soon as possible. Working in groups is allowed and encouraged, but you must turn in your own work in your own words. All assignments must be neatly and clearly written, preferably in pencil, and have the honor pledge written and signed in order to be graded. Multiple pages should be stapled together.

All problem sets count equally to your average and are generally comprised of problems covered in at least three lectures. Unless specifically noted otherwise, each problem set will be graded out of 20 points, with equal weight given to each problem.

Note Well: Your lowest homework will be dropped when computing your PS average if and only if you make an honest attempt to solve EACH problem (and EACH PART of a problem) and turn in all the assignments. I will be the final arbiter of what constitutes an honest attempt at each problem, but suffice it to say that simply writing down a governing equation and leaving the rest of the page blank, or repeating the information given in a question, will NOT be counted as a solid attempt at solution.

PART ONE: Series & Complex Analysis

PS1: DUE AT THE START OF LECTURE ON, MONDAY 2 APRIL.

A&W, Chapter 5: 5.2.6(a,c), 5.2.16, 5.2.19, 5.3.2, 5.4.2, 5.5.3, 5.6.12, 5.6.19a, 5.7.6, 5.8.1

PS2: DUE AT THE START OF LECTURE ON MONDAY, 9 APRIL.

A&W, Chapter 5: 5.10.2

A&W, Chapter 6: 6.1.10, 6.1.17, 6.2.5, 6.3.1, 6.4.1, 6.4.4, 6.5.1, 6.5.8, 6.6.1

PS3: DUE AT THE START OF LECTURE ON WEDNESDAY, 18 APRIL.

A&W, Chapter 6: 6.7.1, 6.7.2, 6.7.4 (1 point each)

A&W, Chapter 7: 7.1.1a-c (3 points total), 7.1.3, 7.1.8 (2 points each)

A&W, Chapter 14: 14.1.5, 14.2.3, 14.3.1, 14.3.8, 14.3.10 (2 points each)