department of astronomy - courses  
home dept of astronomy mcdonald observatory research hobby-eberly telescope directory university of texas  
home
department of astronomy
mcdonald observatory
research
hobby-eberly telescope
directory
university of texas
 
 
Department of Astronomy

Courses

Faculty Office Hours

Faculty

Weekly Seminars

Colloquia

Péridier Library

Public Outreach

Graduate Program

Prospective Graduate Student Information

Current Graduate Students

Graduate Awards

Undergraduate Program

Degree & Course Information

Awards, Scholarships & Financial Aid

Research & Career Opportunities

College of Natural Sciences

Registrar

University Course Schedule
AST 392D · Mathematical Methods in Astrophysics    1   2   3  


  1. Complex Analysis Part II: Calculus of Residues
    1. Singularities
    2. Calculus of Residues
    3. The Evaluation of Real Integrals

  2. Probability and Statistics
    tethys and dione
    1. Introduction
    2. Fundamental Probability Laws
    3. Combinations and Permutations
    4. The Binomial, Poisson, and Gaussian Distributions
    5. General Properties of Distributions
    6. Fitting of Exprimental Data

  3. Eigenfunctions, Eigenvalues, and Green's Functions
    1. Simple Examples of Eigenvalue Problems
    2. General Discussion
    3. Solutions of Boundary-Value Problems as Eigenfunction Expansions
    4. Inhomogeneous Problems, Green's Functions
    5. Green's Functions in Electrodynamics

  4. Evaluations of Integrals
    1. Elementary Methods
    2. Use of Symmetry Arguments
    3. Contour Integration
    4. Tabulated Integrals
    5. Approximate Expansions
    6. Saddle-Point Methods

  5. Integral Transforms
    1. Fourier Series
    2. Fourier Transforms
    3. Laplace Transforms
    4. Other Transform Pairs
    5. Applications of Integral Transforms

  6. Perturbation Theory
    1. Conventional Nondegenerate Theory
    2. A Rearranged Series
    3. Degenerate Perturbation Theory

  7. Special Functions
    1. Legendre Functions
    2. Bessel Functions
    3. Hypergeometric Functions
    4. Confluent Hypergeometric Functions
    5. Mathieu Functions
    6. Elliptic Functions



   1   2   3  
 



31 August 2005
Astronomy Program · The University of Texas at Austin · Austin, Texas 78712
prospective student inquiries: studentinfo@astro.as.utexas.edu
site comments: www@www.as.utexas.edu