Mathematical methods

Fall 2013

**Handouts:**

- hw1 (due sep 17): chap.3 #3,4,5,14,17. Bonus question: Determine the product of the lengths of all diagonals of a regular n-gon, i.e. n-sided polygon whose sides are all equal and whose vertices lie on a circle. | Solutions
- Homework 2 | Solutions
- Homework 3: #6,7,9,11 from chapter 25. | Solutions
- Homework 4 | Solutions
- Solving Laplace's equation with the help of bilinear maps
- Notes on ideal flows and Schwartz-Christoffel transforms
- Homework 5 | Solutions
- Homework 6 | Solutions
- Homework 7
- Sample midterm
- midterm | solutions
- Notes on integration: part1 and part2

** Textbook:** K.F. Rilely, M.p. Hobson and S.J. Bence,
* Mathematical methods for physics and engineering* is
available at the bookstore.
A copy has also been placed on reserve in the
library.
Other sources may occasionally be used; some course notes
will be provided.

**Course outline.** A tenative list of topics is given below. It is
subject to change.

- Complex variables and applications (chap. 3, 24, 25; personal notes)
- Numerical methods (chap 28)
- Selected topics from PDEs and calculus of variations (chap 20-22)
- Asymptotic evaluation of integrals and special functions (chap. 25.8, 18, personal notes)
- Extra topics may be covered depending on time remaining.

**Project:**
Graduate students will be required to do a project on the topic
to be agreed upon. Undegraduates can also opt to do it if they so wish.

** Evaluation: **
Without the project:
Homework (40%), midterm (20%), take-home final (40%).

With the project:
Homework (40%), midterm (20%), take-home final (20%), project (20%).

The worst homework set will be dropped. There will be about 7 homework
sets in total.