Handouts

Mathematical Methods in Physics (PHY 230) - Fall 2004

Handouts

• H1. Special Functions (8/25/04)
• H2. Gamma Function (8/27/04)
• H3. Power Series (8/27/04)
• H4. Convergence Tests (9/1/04)
• H5. Rational Sums (9/1/04)
• H6. Convergence Examples (9/3/04)
• H7. ODE toolbox (9/3/04)
• H8. Legendre Polynomials (9/15/04)
• H9. Important ODEs (9/15/04)
• H10. Frobenius Method (9/15/04)
• H11. Bessel J (9/17/04)
• H12. Bessel N (9/17/04)
• H13. Orthogonal Functions (9/24/04)
• H14. Orthogonal Functions - Plots (MMA) (9/24/04)
• H15. Sturm-Liouville Theory (9/27/04)
• H16. Dirac Delta Functions (10/6/04)
• H17. Green's Functions - ODE (10/6/04)
• H18. Green's Functions - PDE - Poisson eqn (10/8/04)
• H19. Cylindrical Polar Coordinates (10/13/04)
• H20. Spherical Polar Coordinates (10/13/04)
• H21. Orthogonal Coordinates (10/13/04)
• H22. PDE - Boundary Conditions (10/15/03)
• H23. Laplace's Equation - Solutions Summary (10/20/04)
• H24. Bessel I (10/22/04)
• H25. Bessel K (10/22/04)
• H26. Helmholtz' Equation - Solutions Summary (10/22/04)
• H27. Fourier Series (10/27/04)
• H28. Fourier Transforms (10/29/04)
• H29. Transforms (11/5/04)
• H30. Laplace Transforms (11/5/04)
• H31. Complex Variables (11/8/04)
• H32. Contour Integration - Tools (11/10/04)
• H33. Basic Probability (11/19/04)
• H34. Basic Combinatorics (11/19/04)
• H35. Binomial Coefficients (11/19/04)
• H36. Probability Distributions - Definitions (11/19/04)
• H37. Important Probability Distributions (11/22/04)
• H38. Characteristic Functions, Moment Generating Functions, and Cumulants (11/24/04)

Overhead Projector/Computer/Video

• O1. Chess/Piano/Basketball (8/25/04)
• O2. Gamma.nb (MMA) (8/27/04)
• O3. Asymptotic Series for erfc(x) (MMA) (9/3/04)
• O4. Bessel J and N (MMA) (9/22/04)
• O5. Classification of Fixed Points (9/22/04)
• O6. McQuarrie problem 13.3.8 - plot (MMA) (9/22/04)
• O7. Lorenz Equations (MMA) (9/24/04)
• O8. Legendre Series for a Square Wave (MMA) (9/24/04)
• O9. Cylinder for Green's Function (pdf) (10/13/04)
• O10. Cube for Green's Function (pdf) (10/13/04)
• O11. Bessel Plots (MMA) (10/22/04)
• O12. Legendre and Spherical Harmonics Plots (MMA) (10/27/04)
• O13. Separable Systems (MMA) (10/27/04)