電気数学 III

ラプラス変換 - フーリエ解析

Mathematics for Electric and Electronic Engineering III

Laplace transform and Fourier analysis

laplace transform

Course description:

Prerequisite: Calculus I and II (微分積分 I・II, 1 年 1 学期) or equivalent, Linear Algebra Ⅰ (線形代数 I, 1 年 1 学期) or equivalent, Mathematics for Electric and Electronic Engineering I and II (電気数学 1, 2, 1 年 2 学期, 2 年 1 学期) or equivalent

Instructor: Kenji HIRATA (e-mail: hirata at eng dot u-toyama dot ac dot jp), office: room 7305, 3rd floor, G11 building

Teaching assistant:

Supplementary text: [note] Lecture note 00 for ME III
[note] Lecture note 10 for ME III (Laplace transform)
[note] Lecture note 20 for ME III (Fourier analysis)

Recommended textbooks: [1] 布川: ラプラス変換と常微分方程式, 昭晃堂, 1987., [2] E. M.Stein and R. Shakarchi: フーリエ解析入門, 日本評論社, 2007., [3] 木村: フーリエ-ラプラス解析, 岩波書店, 2007., [4] 谷川: フーリエ解析入門 第 2 版, 共立出版, 2019., [5] 井澤: ビジュアルでわかる信号処理入門, 技術評論社, 2023.

Other useful readings: [6] 大村: 微積分のはなし 上・下, 改訂版, 日科技連, 2007., [7] 足立: 信号とダイナミカルシステム, コロナ社, 1999., [8] 三谷: 今日から使えるフーリエ変換, 講談社, 2019.

Schedule and syllabus: The following is a tentative schedule for the course. As revisions are needed, they will be posted on this web page. The 2nd column of the schedule contains the recommended readings for the topics covered on each class. Students are strongly encouraged to read theses materials prior to the class.

class references slide remark homework sample solution
#01 Oct. 03 [note] 02 章 pdf - due: Nov. 20 -
#02 Oct. 10 [note] 03 章 pdf - - -
#03 Oct. 17 [note] 03 章 - - - -
#04 Oct. 24 [note] 03 章 - - - -
#05 Nov. 07 [note] 03 章 - - - -
#06 Nov. 14 [note] 03 章 - - - -
#07 Nov. 21 演習解説 pdf - - -
#08 Nov. 28 Midterm Examination pdf 試験範囲は #01-07 の内容 -
#09 Dec. 05 [note] 04 章 pdf - due: Jan. 22 -
#10 Dec. 12 [note] 04 章 - -
#11 Dec. 19 [note] 04 章 - - - -
#12 Jan. 09 [note] 04 章 - - - -
#13 Jan. 13 [note] 04 章 - - - -
#14 Jan. 23 演習解説 pdf - - -
#15 Jan. 30 Final Examination pdf 試験範囲は #09-14 の内容 - -
#16 Feb. 06 review and conclusion - - - -

Examination: Midterm and final examinations are scheduled for Nov. 28 and Jan. 30, respectively.

Grading: The following weights will be applied to each of the source: Homeworks 10% + Midterm exam 45% + Final exam 45%.

Dynamical Systems and Robotics Laboratory
Department of Electrical and Electronic Engineering
University of Toyama
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