MAT 773 Fourier Analysis

  • Textbook

    • Fourier Analysis and Its Applications, Gerald B. Folland, Pure and Applied Undergraduate Texts, American Mathematical Society, 2009.

  • Topics

    • Boundary Value Problems, Fourier Series, Orthogonal Sets of Functions, Bessel Functions, Orthogonal Polynomials, The Fourier Transform, The Laplace Transform, Generalized Fucntions, Green's Functions

  • Class Meeting Times and Class Room

    • Tuesday/Thursday 5:10-6:25pm in SH 304

  • Office Hours

    • Tuesday/Thursday 3:00pm-5:00pm.

  • Grading

    • The final grade for the course is based on two take-home tests, each of which counts 50%.

  • Math Forum

    • If you have a question on your homework or a general math question, you may post it on my Math Forum site. This forum site is equipped with MathJax which supports LaTex, a wonderful type setting system that is really good at formatting mathematical formulas and equations. MathJax allows us to write mathematical formulas and equations in popular web platforms using LaTex code.To include LaTex code in your posts and comments, use:

    $your-LaTex-code-here$

    You can find a list of Latex codes for math symbols here. You may practice your Latexing here.

    If you want to try Latex in your Windows computer, you may download it for free from MikTex Project Page. If you are using a Linux distribution, usually Latex is a part of the standard packages repository. (The package is called texlive.) To use Latex, you need an editor. Texmaker is a nice interface for using Latex. You can edit/compile/view all together in Texmaker. If you don't want to deal with commands, there is a WYSWYG (What You See is What You Get) interface for Latex called Lyx.

  • Weekly Schedule

    • Click on linked topics to view lecture notes.

    Week
    Date
    Topics
    Homework
    Homework Solution
    Notes
    1
    8/18
    		 1-Dimensional Heat Boundary Value Problems (BVPs), Separation of Variables Class begins on Thursday 8/20.
    2
    8/25
    		 Sturm-Liouville Problems, Solution of the Homegenous Heat IBVP Homework 1 8/26: Last day to drop full-semester classes and receive 100% financial credit
    8/26: Last day to add/drop full-semester classes without instructor permission
    3
    9/1
    		 Heat Equation and Schrödinger Equation
    Fourie Series    		 9/7: Labor Day Holiday
    4
    9/8
    		 Spectrum, Bessel's Inequality Homework 2
    5
    9/15
    		 Convergence Theorem
    6
    9/22
    7
    9/29
    8
    10/6
    9
    10/13
    10
    10/20
    		 10/22-10/23: Fall Break
    11
    10/27
    		 10/30: Last day to withdraw from the University and receive a grade of W.
    12
    11/3
    13
    11/10
    14
    11/17
    15
    11/24
    		 11/25-11/27: Thanksgiving Holidays
    16
    12/1