Handouts
Mathematical Methods in Physics (
PHY 230
) - Fall 2003
Handouts
H1.
Special Functions
(8/26/03)
H2.
Convergence Tests
(8/28/03)
H3.
Power Series for Elementary Functions
(8/28/03)
H4.
Rational Sums
(8/28/03)
H5.
Asymptotic Series for erfc(x)
(9/4/03)
H6.
Convergence Examples
(9/4/03)
H7.
ODE toolbox
(9/4/03)
H8.
Legendre Polynomials
(9/16/03)
H9.
Important ODEs
(9/16/03; corrected 10/26/03)
H10.
Frobenius Method
(9/16/03)
H11.
Bessel J
(9/18/03)
H12.
Bessel N
(9/18/03)
H13.
Orthogonal Functions
(9/25/03; corrected 10/23/03)
H14.
Orthogonal Functions - Plots
(MMA) (9/25/03)
H15.
Sturm-Liouville Theorem
(9/30/03)
H16.
Dirac Delta Functions
(10/7/03; corrected 10/30/03)
H17.
Green's Functions - ODE
(10/7/03)
H18.
Green's Functions - PDE - Poisson eqn
(10/9/03)
H19.
Cylindrical Polar Coordinates
(10/16/03)
H20.
Spherical Polar Coordinates
(10/16/03)
H21.
Orthogonal Coordinates
(10/16/03)
H22.
PDE - Boundary Conditions
(10/17/03)
H23.
Laplace's Equation - Solutions Summary
(10/17/03)
H24.
Bessel I
(10/21/03)
H25.
Bessel K
(10/21/03)
H26.
Helmholtz' Equation - Solutions Summary
(10/23/03)
H27.
Fourier Series
(10/23/03)
H28.
Fourier Transforms
(10/30/03)
H29.
Laplace Transforms
(10/31/03)
H30.
Complex Functions
(11/13/03)
H31.
Contour Integration - Tools
(11/13/03)
H32.
Basic Probability
(11/18/03)
H33.
Combinatorics
(11/18/03)
H34.
Probability Distributions - Definitions
(11/18/03)
H35.
Important Probability Distributions
(11/18/03)
H36.
Characteristic Functions, Moment Generating Functions, and Cumulants
(11/25/03)
Overhead Projector/Computer/Video
O1.
Chess/Piano/Basketball
(8/26/03)
O2.
Bessel J and N
(MMA) (9/18/03)
O3.
Classification of Fixed Points
(9/25/03)
O4.
McQuarrie problem 13.3.8 - plot
(MMA) (9/25/03)
O5.
Legendre Series for a Square Wave
(MMA) (9/26/03)
O6.
Lorenz Equations
(MMA) (9/30/03)
O7.
Bessel Plots
(MMA) (10/21/03)
O8.
Separable Systems
(MMA) (10/23/03)
O9.
Legendre and Spherical Harmonics Plots
(MMA) (10/23/03)
O10.
3 emails per hours
(MMA) (11/20/03)