Handouts

Mathematical Methods in Physics (PHY 230) - Fall 2009

Handouts

• H1. Special Functions
• H2. Gamma Function
• H3. Dirac Delta Functions
• H4. Power Series
• H5. Convergence Tests
• H6. Rational Sums
• H7. ODE toolbox
• H8. Important ODEs
• H9. Legendre Polynomials
• H10. Frobenius Method
• H11. Bessel Functions J and N
• H12. Orthogonal Functions
• H14. Sturm-Liouville Theory
• H15. Complex Vector Spaces
• H16. Green's Functions - ODE
• H17. Green's Functions - PDE - Poisson eqn
• H18. Cylindrical Polar Coordinates
• H19. Spherical Polar Coordinates
• H20. Orthogonal Coordinates
• H22. Laplace's Equation - Solutions Summary
• H23. Bessel I and K
• H24. Helmholtz' Equation - Solutions Summary
• H25. Fourier Series
• H26. Transforms
• H27. Fourier Transform
• H28. Laplace Transform
• H29. Fourier Transform vs. Laplace Transform
• H30. Complex Variables
• H31. Contour Integration - Tools
• H32. Basic Combinatorics
• H33. Binomial Coefficients
• H34. Basic Probability
• H35. Probability Distributions - Definitions
• H36. Important Probability Distributions
• H37. Characteristic Functions, Moment Generating Functions, and Cumulants