Physics 116C, Mathematical Methods

TA: Edward Perepelitsky, email: eperepel@ucsc.edu
TA's Office Hour: Mondays 7:00--8:30 pm, ISB 288.
Discussion Section: Tuesdays, 6pm--7:30pm, ISB 231

MIDTERM: In class, Tuesday, November 3.
FINAL EXAM: Monday December 7, 12:00--3:00 pm.

Table of contents:

• Course Description
  
• Homework:
• Handouts:
  • The differential equation satisfied by Legendre Polynomials
  • The differential equation satisfied by Bessel functions
  • Plots of different sorts of Bessel functions
  • The orthogonality relation satisfied by Bessel functions
  • Helmholtz's and Laplace's Equations in spherical polar coordinates; Spherical Harmonics and Spherical Bessel functions
  • Solution of inhomogeneous ordinary differential equations using Green's functions
  • Singular Fourier Transforms and the integral representation of the Dirac delta function.
  • Some comments on coutour integrals
  • The distribution of the Sum of Random Variables
  • Proof of the central limit theorem in statistics
  • Error bars
• Exams:

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