Handouts
Mathematical Methods in Physics (
PHY 230
) - Fall 2005
Handouts
H1.
Special Functions
(8/30/05)
H2.
Gamma Function
(8/30/05)
H3.
Dirac Delta Functions
(9/1/05)
H4.
Power Series
(9/6/05)
H5.
Convergence Tests
(9/6/05)
H6.
Rational Sums
(9/8/05)
H7.
ODE toolbox
(9/13/05)
H8.
Important ODEs
(9/19/05)
H9.
Legendre Polynomials
(9/19/05)
H10.
Frobenius Method
(9/20/05)
H11.
Bessel Functions J and N
(9/20/05)
H12.
Orthogonal Functions
(9/29/05)
H13.
Orthogonal Functions - Plots
(MMA) (9/29/05)
H14.
Sturm-Liouville Theory
(10/4/05)
H15.
Complex Vector Spaces
(10/6/05)
H16.
Green's Functions - ODE
(10/13/05, corrected 10/17/05)
H17.
Cylindrical Polar Coordinates
(10/18/05)
H18.
Spherical Polar Coordinates
(10/18/05)
H19.
Orthogonal Coordinates
(10/18/05)
H20.
PDE - Boundary Conditions
(10/20/05)
H21.
Laplace's Equation - Solutions Summary
(10/25/05)
H22.
Bessel I and K
(10/25/05)
H23.
Helmholtz' Equation - Solutions Summary
(10/27/05)
H24.
Fourier Series
(11/3/05)
H25.
Fourier Transform
(11/7/05)
H26.
Transforms
(11/8/05)
H27.
Laplace Transform
(11/10/05)
H28.
Complex Variables
(11/15/05)
H29.
Contour Integration - Tools
(11/17/05)
H30.
Basic Probability
(11/22/05)
H31.
Basic Combinatorics
(11/22/05)
H32.
Binomial Coefficients
(11/22/05)
H33.
Probability Distributions - Definitions
(11/29/05)
H34.
Important Probability Distributions
(11/29/05)
H35.
Characteristic Functions, Moment Generating Functions, and Cumulants
(12/1/05)
Overhead Projector/Computer/Video
O1.
Chess/Piano/Basketball
(8/30/05)
O2.
Gamma(z)
(MMA) (9/1/05)
O3.
Asymptotic Series for erfc(x)
(MMA) (9/8/05)
O4.
Bessel J and N
(MMA) (9/22/05)
O5.
Plots of Lab 4
(MMA) (9/22/05)
O6.
Classification of Fixed Points
(9/29/05)
O7.
Lorenz Equations
(MMA) (9/29/05)
O8.
Legendre Series for a Square Wave
(MMA) (9/29/05)
O9.
Bessel Plots
(MMA) (10/25/05)
O10.
Legendre and Spherical Harmonics Plots
(MMA) (10/27/05)
O11.
Separable Systems
(MMA) (10/27/05)