Welcome to the Mathematical and Computational Physics
course web page. This course is offered Fall Semester 2002. Here we will
provide information about the course as well as materials. Both lecture materials
and other background materials will be provided as the course developes.
Chapters and Sections |
Topic |
Approx. time |
|
Chap. 1, sections 1.1 - 1.5 |
Vector Basics |
1 week |
vectors_1 , vectors_2 , vectors_3, vectors_4 , vectors_5 |
Chap. 1, sections 1.6-1.9 |
Grad, Div, Curl |
1 week |
|
Chap. 1, sections 1.10 - 1.13 |
Gauss thm., Stokes thm., Potentials |
1 week |
|
Chap. 1, sections 1.14 - 1.16 |
Gauss' law, Dirac Delta Function, Helmholtz's thm. |
1 week |
|
Numerical Approx. in Vector Analysis |
Basic vector operations, gradient, divergence and
curl --done in fortran90 |
2 weeks |
|
EXAM I in class |
Covering the material from Chap. 1 and selected numerical
algorithms |
just after Chap. 1 material completed |
|
Chap. 3, sections 3.1 - 3.3 |
Determinants, Matrix algebra, special matrices in
physics |
1 week |
|
Chap. 3, sections 3.4 - 3.5 |
Eigenvalue Problem and matrix diagonalization |
1 week |
|
Numerical Linear Algebra introduction |
efficient implementations of numerical linear algebra
, intro to some packages |
2 weeks |
|
EXAM II in class |
Covering the material from Chap. 3 and selected numerical
algorithms |
just after Chap. 3 material completed |
|
Chap. 8, section 8.2 and 8.4 |
First order differential equations and examples; singular
points |
1 week |
|
Chap. 8, section 8.5-8.6 |
Series solutions, Frobenius method |
1 week |
|
Chap. 8, section 8.8 |
Numerical methods for ordinary diff. eqns plus my
notes and codes in f90. |
2 weeks |
|
EXAM III in class |
Covering the material from Chap. 8 and selected numerical
algorithms |
just after Chap. 8 material completed |
|
Term Projects |
Assigned by instructor to meet interests of individual
students. To be discussed later in the term. |
Due on day that final exam would be given for this
course |
|