Autumn, 2011

**Course title:**- Mathematical Methods
**Required Text:**- The official text is
*Mathematical Methods for Physicists, Sixth Edition: A Comprehensive Guide*by George Arfken and Hans Weber. There is an e-book version available from the library here. (It is not clear yet whether there is unlimited simultaneous viewing of this e-book, but at least several people can use it at the same time.) **Recommended Text:**-
A secondary, more pedagogical text that we will use as a guide to
many of the topics and the order in which we cover them is
*Mathematics for Physicists*by Susan Lea. Errata for this book can be found here. There are many other useful math methods reference at both the undergraduate and graduate level; some are listed on the 834 homepage. **Prerequisites:**- There are no definite prerequisites, other than having taken a standard set of undergraduate courses in physics (e.g., an electromagnetism course at the level of Griffiths). You are expected to have encountered various mathematical tools in your undergraduate studies, such as the basics of linear algebra, vector calculus, complex numbers (but not complex analysis), and differential equations. You will have an opportunity to review these topics (or catch up on what you might have missed) as we build on them in 834. Please talk to Prof. Furnstahl if you're concerned about your preparation.
**Material:**- Although the course catalog
title is
*Electromagnetic Field Theory I*, the actual course title is "Mathematical Methods". The focus will be on the methods needed for the rest of the 83x sequence in Electromagnetic Field Theory, but many of these topics will appear in other physics contexts. We will also discuss numerical methods and how to calculate in Mathematica as we proceed. Topics to be covered include aspects of vector analysis (mostly review), complex variables, differential equations (and Sturm-Liouville theory in particular), Fourier series and transforms, and generalized, special, and Green's functions. These correspond to Chapters 1-4, 6-8, and Appendix C of Lea's text, and to scattered sections in Arfken and Weber. Given the time constraints (10 weeks), we will be selective in our coverage. **Instructor:**- Prof. Richard (Dick) Furnstahl

office: M2048 PRB

email: furnstahl.1@osu.edu

phone: 292-4830 (office) or 847-4026 (home)

**Graders:**- Weishi (Shirley) Li

office: 3035 PRB

email: li.1287@osu.edu

phone: 247-8267 (office)

- Dr. Vladimir Prigodin

office: 2176 PRB

email: prigodin.1@osu.edu

phone: 292-6385 (office)

**Schedule:**- Class meets MW from 8:30-10:18am in Scott Lab E125. Make-up classes and optional supplementary classes will be scheduled as we go. The midterm is planned for Wednesday October 19 in class. The final exam day and time is fixed by the University to be 7:30am-9:18am on Monday December 5 (so the early start is not my fault :)
**Office Hours:**- By appointment (send email or ask in class) and . . .

[to be announced] (Furnstahl) **Grading:**- Assigned problems [40%]
- Midterm exam [30%]
- Final exam [30%]
**Other Items:**

- If you have a disability that warrants special consideration for examinations, please contact Prof. Furnstahl as soon as possible to make appropriate arrangements. For more information, the website for the Office of Disability Services is http://www.ods.ohio-state.edu.
- The university policy
http://studentaffairs.osu.edu/resource_csc.asp on academic misconduct will be followed.
You may (and should)
discuss homework problems with other students, with Prof. Furnstahl
or other faculty,
and/or with the grader.
*However, you must hand in your own version of each homework assignment.*

**Web Pages:**- This info:
`http://www.physics.ohio-state.edu/~ntg/834/834_info.php` - Course home page:
`http://www.physics.ohio-state.edu/~ntg/834/834.php`

Your comments and suggestions are appreciated.

[OSU Physics] [Math and Physical Sciences] [Ohio State University]

Last modified: .

furnstahl.1@osu.edu