Handouts
Mathematical Methods in Physics (
PHY 230
) - Fall 2006
Handouts
H1.
Special Functions
(8/29/06)
H2.
Gamma Function
(8/29/06)
H3.
Dirac Delta Functions
(9/5/06)
H4.
Power Series
(9/5/06)
H5.
Convergence Tests
(9/7/06)
H6.
Rational Sums
(9/7/06)
H7.
ODE toolbox
(9/12/06)
H8.
Important ODEs
(9/18/06)
H9.
Legendre Polynomials
(9/19/06)
H10.
Frobenius Method
(9/19/06, 9/21/06)
H11.
Bessel Functions J and N
(9/21/06)
H12.
Orthogonal Functions
(9/28/06)
H13.
Orthogonal Functions - Plots
(MMA) (9/28/06)
H14.
Sturm-Liouville Theory
(10/3/06)
H15.
Complex Vector Spaces
(10/5/06)
H16.
Green's Functions - ODE
(10/12/06)
H17.
Green's Functions - PDE - Poisson eqn
(10/16/06)
H18.
Cylindrical Polar Coordinates
(10/17/06)
H19.
Spherical Polar Coordinates
(10/17/06)
H20.
Orthogonal Coordinates
(10/17/06)
H21.
PDE - Boundary Conditions
(10/19/06)
H22.
Laplace's Equation - Solutions Summary
(10/24/06)
H23.
Bessel I and K
(10/24/06)
H24.
Helmholtz' Equation - Solutions Summary
(10/26/06)
Evaluation
(10/26/06)
H25.
Fourier Series
(11/2/06)
H26.
Transforms
(11/6/06)
H27.
Fourier Transform
(11/6/06)
H28.
Laplace Transform
(11/9/06)
H29.
Fourier Transform vs. Laplace Transform
(11/9/06)
H30.
Complex Variables
(11/14/06)
H31.
Contour Integration - Tools
(11/16/06)
H32.
Basic Combinatorics
(11/28/06)
H33.
Binomial Coefficients
(11/28/06)
H34.
Basic Probability
(11/28/06)
H35.
Probability Distributions - Definitions
(11/28/06)
H36.
Important Probability Distributions
(11/30/06)
H37.
Characteristic Functions, Moment Generating Functions, and Cumulants
(12/5/06)
Overhead Projector/Computer/Video
O1.
Chess/Piano/Basketball
(8/29/06)
O2.
Gamma(z)
(MMA) (9/5/06)
O3.
Gibb's Phenemona
(MMA) (9/7/06)
O4.
Bessel J and N
(MMA) (9/21/06)
O5.
Plots of Lab 4
(MMA) (9/21/06)
O6.
Classification of Fixed Points
(9/28/06)
O7.
Lorenz Equations
(MMA) (9/28/06)
O8.
Legendre Series for a Square Wave
(MMA) (10/3/06)
O9.
Cylinder for Green's Function
(pdf) (10/16/06)
O10.
Bessel Plots
(MMA) (10/24/06)
O11.
Legendre and Spherical Harmonics Plots
(MMA) (10/26/06)
O12.
3 emails per hours
(MMA) (12/4/06)