Mathematics for Information Control:
Complex Analysis and Laplace Transform
- Spring 2011.
- Lecture: Thursday 13:00-14:30, Room 210.
- Office hour: Thursday 10:00-, Mechanical Engineering-II, 255.
- URL: http://csl.nagaokaut.ac.jp/course/mic11/
Mathematics for Information Control:Complex Analysis and Laplace Transform
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Course description: 情報科学, 計測工学, 制御工学などにおいて必要とされる基礎的な数学的知識として, 複素解析, 線形代数, フーリエ解析, ラプラス変換に関する学習をおこないます. 定理や公式の数学的理解にくわえ, 例題や演習を通して問題の解法についても習熟します.
Prerequisite: Mathematics IA (数学 IA, 1 年 1 学期), Mathematics IB (数学 IB, 1 年 1 学期), Mathematics IIA (数学 IIA, 1 年 2 学期), Mathematics IIB (数学 IIB, 1 年 2 学期).
| Instructor: | Kenji HIRATA (hirata at nagaokaut dot ac dot jp), office: Mechanical Engineering-I, 408. |
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| Hidetake TANAKA (htanaka at mech dot nagaokaut dot ac dot jp), office: Mechanical Engineering-II, 276. |
Required textbook: [1] 高橋, 滑川, 明田川, 舟木: 理工学のための応用解析, 理工学社, 2005.
Supplementary text: [2] 小平: 複素解析, 岩波書店, 1991., [3] 神保: 複素関数入門, 岩波書店, 1995., [4] 布川: ラプラス変換と常微分方程式, 昭晃堂, 1987., [5] 前田: 線形システム, 朝倉書店, 2001.
Other useful readings: [6] 大村: 微積分のはなし 下, 日科技連, 1972., [7] 浅井: ラプラス変換で微分方程式がなぜ解ける ?.
Schedule, syllabus and homework: 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 | homework | answer | remark | slide |
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| #01 Apr. 14 | [1] 2.1, 2 | due: May 10 |  |
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| #02 Apr. 21 | [1] 2.3, 4, 5 | due: May 10 | |
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| #03 Apr. 28 | [1] 2.6 | due: May 10 | |
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| #04 May 12 | [1] 5.1, 2 | due: May 31 | |
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| #05 May. 19 | [1] 5.4, 5 | due: May 31 | |
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| #06 May 26 | [1] 5.5 | due: May 31 | |
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| #07 Jun. 02 | [1] 5.6 | - | - | - | |
| #08 Jun. 091st Exam. | - | - | - | - | - |
Errata: [1] の誤植をまとめました. 他にも気がついた印刷ミスなどがありましたら, 連絡をください.
Homework and office hour: 宿題提出期限後の授業時に, 採点後の宿題を返却します. 授業内容, 宿題の内容などに関する質問をオフィスアワーに受けます. それ以外の時間には, 対応しかねる場合があります. オフィスアワーを活用してください.
Examination: 1st Exam. (Complex Analysis and Laplace Transform) is scheduled for Thursday, June 09, 2011 in Room 210. (Note: 2nd Exam. (Fourier Analysis and Linear Algebra) is scheduled for August 04, 2010 in Room 210.)
Grading: The following weights will be applied to each of the source: Homework 20%, 2nd exam 80%.
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Control Systems Laboratory
Department of Mechanical Engineering
Nagaoka University of Technology
Nagaoka 940 2188, Japan.
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