announcements
May 6, 2009
The finals are graded and the grades have been submitted. Here are the solutions to the final. If you'd like to pick up your exam, you can email me to make an appointment. I had a really fun time teaching this class, so thanks for a great semester, and have a good summer.
May 3, 2009
Here are solutions to the review problems.
May 1, 2009
The sheet with common Fourier sine series has been updated. There were some incorrect signs in the earlier version. I have also added a section with some series sums that might be useful during the exam.
April 28, 2009
Here are a few review problems. I've made no attempt to make it comprehensive, but I've tried to give examples of the kind of conceptual/theoretical problems that could appear on the exam. Besides this, I would look at the homework problems, the examples from class, and the examples in the book.
April 28, 2009
Here is the page of common Fourier sine series that will be included with the exam (so you don't need to put these series on your page of notes).
April 27, 2009
Here are the solutions for the 2nd midterm. I apologize for taking so long to post them. I am also planning to post a sheet with a few review problems, sometime tomorrow.
April 27, 2009
The exam is Monday, May 4, 6-8pm, in Duncker 1. It will be cumulative, but disproportionately weighted toward the material since the last midterm. The topics since the last midterm include the following:
- Partial differential equations (13.1-13.4): Method of separation of variables, Laplace's equation, the heat flow equation, and the wave equation.
- Complex functions (14.1-14.3): Analyticity, Cauchy-Riemann equations, the relationship between analytic functions and harmonic functions, complex integration, Cauchy's Theorem, Cauchy Integral Formula.
April 2, 2009
You might be interested to read this question I received by email, along with my reply. It deals with the issue of complex exponents having multiple values.
April 1, 2009
Here are solutions to some of the problems in HW#8. Be careful, there might be mistakes and typos.
April 1, 2009
The 2nd midterm will be Friday, April 3 in class. It will cover chapters 2 and 7 (see the reading assignments in the homework for the specific sections that were covered). The rules are the same as before: you may bring one 8.5x11 page of notes, and no calculators.
March 2, 2009
Here are solutions to the first midterm.
February 20, 2009
Solutions to HW#6 are here. I quickly looked through the papers, and I saw that a large number of you did 16(d) incorrectly. There are a few issues here:
- 16(c) and 16(d) are asking you to do the same problem in two different ways. You should expect to get the same answer.
- The path you're interested in is only one side of the triangle, but when you write out the equation for Green's Theorem, you need to include all three sides of the triangle. (The path integrals along the other two sides are both 0, but you at least need to say so.)
- Remember that in the usual formulation of Green's Theorem, the path is oriented in the counterclockwise direction. In this problem, the path from (0,1) to (1,0) is in the clockwise direction around the triangle. To account for this, you need to introduce a minus sign. See the solutions for a more specific explanation.
February 19, 2009
The first midterm exam will be in class on Monday, Feb 23. It will cover all of Chapter 6. You may bring one 8.5x11 page with notes. Calculators are not allowed. Since HW#6 is basically a set of review problems, I'll post solutions after Friday's class.
January 10, 2009
Welcome to Math 308, Mathematics for the Physical Sciences. Please bookmark this page, as I will use it to make announcements. For general information about the course, see the syllabus.