## Course schedule

Lecture | Date | Topic | Reading | Notes |
---|---|---|---|---|

1 | Jan 23 | Series overview | 1 | |

2 | Jan 25 | Series properties | 1 | |

3 | Jan 28 | Power series | 1 | See note 2 |

4 | Jan 30 | Complex numbers | 1 | See note 2 |

5 | Feb 1 | Complex power series | 2 | HW 1 due |

6 | Feb 4 | Matrices | 2 | See note 3 |

7 | Feb 6 | Row reductions | 3 | See note 3 HW 2 due |

8 | Feb 8 | Eigenvalues and eigenvectors | 3 | See note 3 |

9 | Feb 11 | Vector spaces | 3 | |

10 | Feb 13 | Partial differentiation | 3 | HW 3 due |

11 | Feb 15 | Maximum problems | 3 | |

Feb 18 | Presidents Day | |||

12 | Feb 20 | Double and triple integrals | 4 | HW 4 due See note 2 |

13 | Feb 22 | Moments of inertia | 4 | |

14 | Feb 25 | Sturm–Liouville theory | ||

Feb 27 | Midterm 1 | |||

15 | Mar 1 | No lecture | ||

16 | Mar 4 | Fourier series #1 | 7 | |

17 | Mar 6 | Fourier series #2 | 7 | HW 5 due |

18 | Mar 8 | Fourier series #3 | 7 | |

19 | Mar 11 | Fourier transforms #1 | 7 | |

20 | Mar 13 | Fourier transforms #2 | 7 | HW 6 due |

21 | Mar 15 | Laplace transforms #1 | 8 | |

22 | Mar 18 | Laplace transforms #2 | 8 | |

23 | Mar 20 | Green functions #1 | 8 | HW 7 due |

24 | Mar 22 | Green functions #2 | 8 | |

Mar 25 | Spring Break | |||

Mar 27 | Spring Break | |||

Mar 29 | Spring Break | |||

25 | Apr 1 | Midterm review | ||

Apr 3 | Midterm 2 | |||

26 | Apr 5 | Residue calculus #1 | 14 | |

27 | Apr 8 | Residue calculus #2 | 14 | See note 4 |

28 | Apr 10 | Residue calculus #3 | 14 | See note 4 HW 8 due |

29 | Apr 12 | No lecture | 14 | |

30 | Apr 15 | Residue calculus #4 | 14 | |

31 | Apr 17 | Residue calculus #5 | 14 | HW 9 due |

32 | Apr 19 | Calculus of variations #1 | 9 | |

33 | Apr 22 | Calculus of variations #2 | 9 | |

34 | Apr 24 | Calculus of variations #3 | 9 | HW 10 due |

35 | Apr 26 | Calculus of variations #4 | 9 | |

36 | Apr 29 | |||

37 | May 1 | |||

38 | May 3 | HW 11 due |

## Notes

- The numbers in the reading column correspond to the chapters in
*Mathematical Methods in the Physical Sciences*by Mary L. Boas - The lectures on Jan 28, Jan 30, and Feb 20 will be given by Jon Wilkening
- The lectures for the week of Feb 4–8 will be given by Matthias Morzfeld
- The lectures of Apr 8 and Apr 10 will be given by Per-Olof Persson