Lectures | Chapters | Topics |

Aug. 25,27,29 | 9.1-9.5, 9.7, 9.8 | Introduction, vector calculus (review), gradient, directional derivatives, divergence |

Sept. 3,5 | 9.9 , 10.1 | curl, line integrals |

Sept. 8,10,12 | 10.2, 10.4, 10.5 | path independence, Green's theorem, surfaces |

Sept. 15,17,19 | 10.6, 10.7, 10.8 | surface integrals, triple integral, Gauss's divergence theorem and applications |

Sept. 22,24,26 | 10.9, 5.1, 5.2 | Stokes's theorem, Review of ODE, power series method |

Sept.29,Oct. 1,3 | review, exam I , 5.3 | Review(M), exam I(W), Legendre's equation and Legendre polynomials |

Oct. 6,8,10 | 5.4, 5.5 | Frobenius method, Bessel's equation and Bessel functions |

Oct. 13,15,17 | 5.6, 5.7, 5.8 | Bessel's functions of the second kind, Sturm-Liouville problems, orthogonal functions |

Oct. 20,22,24 | 11.1, 11.2, 11.3 | Fourier series |

Oct. 27,29, 31 | 11.5, 11.6, 11.7 | Forced oscillations, Approximation by trig polynomials, Fourier integral |

Nov. 3,5, 7 | review exam II, 11.8 | Review(M), exam II(W), Fourier cosine and sine transform |

Nov. 10,12,14 | 11.9, 12.1-2, 12.3 | Fourier transform,FFT, basic concepts of PDEs, separating variables |

Nov. 17, 19, 21 | 12.3, 12.4, 12.5 | Use of Fourier series, D'Alembert's solution of the wave equation, Heat equations: by Fourier series |

Nov. 24, 26, 28 | no classes | Thanksgiving Holiday |

Dec. 3, 5, 7 | 12.6, 12.7, 12.8 | Fourier transform and heat equation, Membrane, 2-d wave equation |

Dec. 10, 12, 14 | review, review, review | Review |