Fourier Analysis
Lecture Notes by Y. Iwai

Last updated: Tue, 04-Feb-2020


Lecture Notes(2019 school year) Schedule (PDF),How to write Portfolio (PDF) (Sorry in Japanese.)

Lecture 01(10/03)Mathematical basics (PDF) , Exercise answer (PDF)
Lecture 02(10/10)Periodic functions and Fourier Series (PDF), Exercise answer (PDF)
             (Lecture on Oct. 10th is cancelled, makeup class will be held on Oct 16th at room 27.)
Lecture 03(10/24)Convergence theorem of Fourier series and complex Fourier series
Lecture 04(10/31)Best approximation of function (PDF) , Exercise answer (PDF)
Lecture 05(11/07)Bessels's inequality and Parseval's identity
Lecture 06(11/14)Intermediate exam. (Fourier Series)
Lecture 07(11/21)Fourier integral (PDF), Exercise answer (PDF)
Lecture 08(11/28)Fourier cosine integral, Fourier sine integral
             (Lecure on Nov. 28th is cancelled, makeup class will be held on Nov. 20th at room 27.)
Lecture 09(12/05)Characteristics of Fourier transform (PDF), Exercise answer (PDF)
Lecture 10(12/12)Fourier integral and Laplace transform
Lecture 11(12/19)Intermediate exam. (Fourier integral)
Lecture 12(12/26)Laplace transform for various functions (PDF), Exercise answer(PDF)
Lecture 13(01/09)Basic theorem of Laplace transform
Lecture 14(01/23)Inverse Laplace transform (PDF), Exercise answer (PDF)
Lecture 15(01/30)Application of Laplace transform (PDF), Exercise answer (PDF)
Lecture 16(02/??)Final exam. (Mainly, Laplace transform)