# Math 126 Midterm 2

Students who cannot make the hours of the professor or the TA may consider visiting the lab when TA's for other Math 126 classes are available in DRB 306: Srisairam Achuthan, T 12:30-2, F 2:30-4 Arthur Berg, M.Th. 3:30 - 4:30, T 11-12. Mathematics 126 Midterm 2 Oct. 17, 2003. Calculators are allowed only for numerical calculations. There are two sheets of scratch paper attached at the end of the exam. Use them and but do not tear them oﬀ the exam in doing so, and hand them in together with the exam. Math 126 - Introduction to PDEs - Fall 2014 Instructor: Jason Murphy. Midterm 2 - in class, Monday November 10 Final exam - Tuesday, December 16 at 7pm.

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### Math 126 Midterm 2

Top## Schedule

The class schedule below will be updated on a weekly basis. Numbers in the reading column refer to sections in the course textbook

**Partial Differential Equations: An Introduction**, 2nd Edition, Wiley.

### Math 125 Midterm 2

Lecture | Date | Topic | Reading | Notes |

1 | Aug 26 | Where do PDE come from? | 1.2,1.3 | |

2 | Aug 28 | Initial/boundary conditions and well-posedness | 1.1,1.4,1.5 | |

3 | Aug 31 | The wave equation, causality and energy | 2.1,2.2 | |

4 | Sept 2 | The diffusion equation: Maximum principle | 2.3 | |

5 | Sept 4 | Diffusion on the whole line | 2.4 | HW 1 due |

Sept 7 | Holiday (No class) | |||

6 | Sept 9 | Differences between waves and diffusion | 2.5 | |

7 | Sept 11 | Heat eqation on the half-line | 3.1 | HW 2 due |

8 | Sept 14 | Separation of variables for heat flow: Fourier series | 4.1,4.2 | |

9 | Sept 16 | Fourier series | 5.1-5.3 | |

10 | Sept 18 | Differentiating under an integral | ||

11 | Sept 21 | L2 convergence of Fourier series | 5.4 | HW 3 due |

12 | Sept 23 | Pointwise convergence of Fourier series | 5.5 | |

13 | Sept 25 | Discontinuous functions and uniform convergence | 5.5 | HW 4 due |

14 | Sept 28 | Gibb's Phenomenon | ||

15 | Sept 30 | Regularity and decay of Fourier coefficients | ||

16 | Oct 2 | Solving PDE with Fourier series | HW 5 due | |

17 | Oct 5 | Laplace's equation | 6.1 | |

18 | Oct 7 | Harmonic funtions | 6.1 | |

Oct 9 | Midterm | |||

19 | Oct 12 | Poisson's formula | 6.3 | |

20 | Oct 14 | Laplace's equation in wedges and annuli | 6.4 | |

21 | Oct 16 | Green's identities | 7.1, 7.2 | HW 6 due |

22 | Oct 19 | Dirichlet's principle | 7.1, 7.2 | |

23 | Oct 21 | Green's functions | 7.3 | |

24 | Oct 23 | Green's functions | 7.3 | HW 7 due |

25 | Oct 26 | Finite difference schemes | 8.1, 8.2 | |

26 | Oct 28 | Rate of convergence for heat equation | ||

27 | Oct 30 | Finite differences for wave equation | 8.3 | HW 8 due |

28 | Nov 2 | Finite differences for Laplace's equation | 8.4 | |

29 | Nov 4 | Convergence of Jacobi iterations | ||

30 | Nov 6 | Wave equation in 3D | 9.1, 9.2 | HW 9 due |

31 | Nov 9 | Wave equation in 2D | 9.2 | |

Nov 11 | Holiday (No class) | |||

32 | Nov 13 | Distributions | 12.1 | |

33 | Nov 16 | Distributions | 12.2 | HW 10 due |

34 | Nov 18 | Fourier transform | 12.3 | |

35 | Nov 20 | Fourier transform | 12.4 | |

36 | Nov 23 | Fourier transform | 12.4 | HW 11 due |

Nov 25 | Holiday (No class) | |||

Nov 27 | Holiday (No class) | |||

37 | Nov 30 | Scalar conservation laws | 14.1 | |

38 | Dec 2 | Scalar conservation laws | 14.1 | |

39 | Dec 4 | Scalar conservation laws | 14.1 | |

Dec 11 | Final exam review session | HW 12 due | ||

Dec 14 | Final Exam: 7pm-10pm |