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 1.61.9 
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 8.58.6 
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 
