# Mathematics for the Physical Sciences

### Math 308 - Spring 2003

This is a continuation of Math 233 aimed to
serve students in the natural sciences and mathematics
with an interest in physics. It is comparable to
Math 318 in content and level of difficulty, but
places greater emphasis on some of the physical
ideas that motivate and guide the subject, from Newtonian
and Lagrangian mechanics, electromagnetism, and quantum mechanics, for example.
The main mathematical topics covered are: calculus of functions of several variables
and matrices,
vector calculus, and elements of partial differential equations.

The textbook is ** Mathematical Methods in the Physical Sciences**
by Mary L. Boas (second edition, Wiley).

List of topics:

- vector calculus (div, grad, curl); Green's, Stokes' and the divergence theorems; fields and electromagnetism (chapter 6);
- Elements of complex numbers and the basic functions of a complex variable (chapter 2);
- linear systems of equations and matrix algebra (chapter 3);
- Fourier series (chapter 7);
- Legendre function and series (chapter 12);
- partial differential equations; diffusion and wave propagation, the Schrodinger equation (chapter 13).

If you have questions, please contact
me at
feres@math.wustl.edu or in Cupples I room 17 (phone 5-6752).

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