Math 312
Topics in Applied Mathematics II
Spring 1997

• About the course

• First-day handout

• Examinations (Adobe Acrobat PDF format): first || second || third || final

• Other handouts (PostScript format)

  16 January 1997

  class exercise: the superposition principle

  homework: introduction to the heat equation

  21 January 1997

  class exercise & homework: separation of variables

  23 January 1997

  class exercise: trigonometric identities

  homework: calculating a Fourier series

  28 January 1997

  class exercise: more Fourier series

  homework: symmetry, Fourier series, and jumps

  30 January 1997

  solutions to Fourier series exercise from last time

  class exercise and homework: solving the heat equation with Fourier series

  4 February 1997

  Exam 1 from 1994

  6 February 1997

  Solutions to Exam 1 from 1994

  13 February 1997

  class exercise and homework: the heat equation with transcendental eigenvalues

  18 February 1997

  Class exercise and homework: introduction to Sturm-Liouville problems

  20 February 1997

  Homework: the heat equation on unbounded domains

  25 February 1997

  Class exercise: some improper integrals

  Class exercise and homework: solving the heat equation on an unbounded domain by using Fourier integrals

  27 February 1997

  Class exercise and homework: solving the wave equation with Fourier series

  4 March 1997

  Class exercise: D'Alembert's method for solving the wave equation

  6 March 1997

  Exam 2 from 1994 and solutions
  Class exercise: the wave equation on an unbounded domain

  27 March 1997

  Class exercise: Laplace's equation in a square
  Homework: the Laplacian in polar coordinates

  1 April 1997

  Class exercise and homework: introduction to Bessel's equation

  3 April 1997

  Class exercise: more on Bessel functions
  Homework: solving the wave equation on a disk

  10 April 1997

  Exam 3 from 1994 and solutions

  22 April 1997

  Class exercise: convergence of Fourier series