KGC


Keio University Shonan Fujisawa Campus
Course Summary (Syllabus)


MATHEMATICAL MODEL THEORY (Takeshi Kawazoe

    Semester : 2019 Fall
    Code : B3212 / 2 Credits


1. Objectives/Teaching method

    We describe the phenomena of wave and heat by using partial differential equations. Then we introduce Fourier Analysis to solve the equations. We study
    Fourier series and Fourier transform. We understand the difference between wave and heat mathematically.


2. Materials/Reading List

    特にありません。その都度紹介します。


3. SCHEDULE

    #1 Guidance
    History of PDE (partial differential equation)

    #2 Differential Equations
    Phenomena and differential equations. Wave equation and D'Alembert's method

    #3 Fourier Series
    Fourier coefficients and Fourier seriesフーリエ係数とフーリエ級数

    #4 Examples and Exercises
    Examples and Exercises

    #5 Property of Fourier Series I
    Dirichlet's Theorem

    #6 Property of Fourier Series II
    Parseval's Equation

    #7 Examples and Exercises
    Examples and Gibbs's phenomenon

    #8 Heat Propagation I
    Heat equation and its solution

    #9 Wave Propagation
    Wave equation and its solution

    #10 Property of Fourier Series I
    Fourier transform, Dirichlet's Theorem

    #11 Property of Fourier Series II
    Parseval's Equation

    #12 Heat Propagation II
    Heat equation and its solution

    #13 Uncertainty Principle
    Uncertainty Principle

    #14 Wavelet transform
    Wavelet transform


4. Assignments/Examination/Grad Eval.

    Terminal Examination. Attendance is voluntary


5. Special Note

    Attendance is voluntary but important for understanding.
    We require basic knowledge of calculus and linear algebra.


6. Prerequisit / Related courses

    -


7. Conditions to take this course

    「データサイエンス基礎」の単位を修得していること。またはデータサイエンス科目認定試験に合格していること。


8. Relation with past courses

    -


9. Course URL


2019-01-02 19:55:45.596388


Powered by SOI Copyright(c) 2002-2019, Keio University Shonan Fujisawa Campus. All rights reserved.
このサイトの著作権について