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practical experience
practical experience
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Last updated at Apr 21, 2025.
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Last updated at Apr 21, 2025.
Class plans and classrooms are subject to change, so be sure to check UTAS for the latest information.
If you do not have access to the UTAS, please contact your instructor or academic affairs office.
Specialized Seminar (PEAK)(MathematicsII②)(Introductory course in linear algebra, continued)
Phenomena in natural and social sciences are usually complicated, and seldom described by linear equations. However, Linear Algebra is still powerful and effective in describing essential parts of the phenomena by linear approximation. Thus Linear Algebra has vast applications.
Linear Algebra will further provide basics for considering linear spaces that appear in quantum mechanics or Fourier analysis. The ideas in Linear Algebra are broadly utilized in sciences and engineering, including agriculture, medicine, and economy, as well as in mathematics and physics.
Although Linear Algebra is simple and clear in theory, one needs to be familiar with abstract concepts in mathematics to properly deal with it in practice. It is important for students to keep on deepening their understanding by working with exercise and related problems.
Code
Course title
Lecturer
Semester
Period
30705
CAS-TC1200S1
Specialized Seminar (PEAK)(MathematicsII②)(Introductory course in linear algebra, continued)
MATSUO Atsushi
Wed 3rd
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Advanced Core in Linear Algebra
数理情報学全般の基礎となる道具としての線形代数を身につける. 特に，数理計画法，制御理論，信号処理，確率過程，多変量解析において有用な知見を整理して習得する．
(This course delivers lectures on advanced linear algebra, which serves as a fundamental tool in various areas of mathematical informatics. Emphasis is put on those concepts and techniques that are useful in mathematical programming, control theory, stochastic process, signal processing, and multivariate statistical analysis).
Code
Course title
Lecturer
Semester
Period
4820-1022
GIF-MA5101L1
Advanced Core in Linear Algebra
Sato Kazuhiro
Fri 3rd
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Skills for Understanding Lectures: Using MIT Linear Algebra Video Lecture as a Case Ⅰ
以下の二点を目標とする。
(1) 英語授業を聞くために必要な語学としての英語のスキルを診断確認するとともに「文書パッケージ」としての授業を理解するために言語・記号をたどるための基礎技術を身につけること。
(2) 線形代数の基本を統計学の最小二乗法に対応する直行射影のところまで理解すること。
This lecture course has two objectives:
(1) To diagnose students' own English skills in understanding university-level English lectures and to gain basic skills of following manipulation of symbols and language expressions necessary for undersatnding lectures as a "document package";
(2) To understand introductory Linear Algebra up to orthogonal projection that correponds to least square solutions in statistics.
Code
Course title
Lecturer
Semester
Period
09252314
FED-SS3303S1
Skills for Understanding Lectures: Using MIT Linear Algebra Video Lecture as a Case Ⅰ
Kyo Kageura
Fri 1st
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Skills for Understanding Lectures: Using MIT Linear Algebra Video Lecture as a Case Ⅱ
以下の二点を目標とする。
(1) 英語授業を聞くために必要な語学としての英語のスキルを診断確認するとともに「文書パッケージ」としての授業を理解するために言語・記号をたどるための基礎技術を身につけること。
(2) 線形代数の基本を固有値・固有ベクトル、SVDと一般化逆行列のところまで理解すること。
This lecture course has two objectives:
(1) To diagnose students' own English skills in understanding university-level English lectures and to gain basic skills of following manipulation of symbols and language expressions necessary for undersatnding lectures as a "document package";
(2) To understand introductory Linear Algebra up to engenvalues and eigenvectors, and SVD and generalised inverse.
Code
Course title
Lecturer
Semester
Period
09252315
FED-SS3303S1
Skills for Understanding Lectures: Using MIT Linear Algebra Video Lecture as a Case Ⅱ
Kyo Kageura
Fri 1st
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Linear Algebra
線型代数学の萌芽である行列は多変数の連立一次方程式を効率的，統一的に扱う手法として発明された．また，行列式は方程式の解がただ一つ存在するための条件として発見された．ベクトルの概念の起こりは古典力学にあり，その意味で線型代数学の歴史は古い．しかし行列の本質である線型性概念の真の威力が認識され，数学の一分野として線型代数学が確立したのは新しく，20世紀にはいってのことであった．
自然界や社会科学における現象は一般には複雑で一次方程式で表せることはまれだが，一次近似によりその本質的な部分をとらえることは常套手段であり，線型代数学の考え方は非常に有効である．また，量子力学や，フーリエ解析などに現れる無限次元のベクトル空間を扱うための基礎ともなっており，線型代数学の応用については枚挙にいとまがない． このように，線型代数学の考え方は現代数学や理論物理学においてはもちろんのこと，工学，農学，医学，経済学などにおいても基本的な考え方として浸透しており，応用範囲も広い．線型代数学は理論的には単純で明快であるが，その反面，抽象的な概念操作にある程度慣れないと理解しにくい面もある．線型代数学を身につけるには，演習などのさまざまな問題にあたり，理解を深めることが必要である．「数理科学基礎」において学んだ線型代数に関する知識を前提とする．
S2タームの「線型代数学①」で以下の項目1, 2を扱い，Aセメスターの「線形代数学②」で項目3～6を扱うことを目安とするが，担当教員によって，順序や内容に一部変更が加えられる場合がある．
1. ベクトル空間，線型写像
2. 生成系，一次独立性，基底
3. 内積
4. 行列式
5. 固有値，固有ベクトル
6. 対称行列の対角化と二次形式
Code
Course title
Lecturer
Semester
Period
40069
CAS-FC1875L1
Linear Algebra
UENO Yoshiaki
Wed 1st
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40070
CAS-FC1875L1
Linear Algebra
Wed 1st
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40071
CAS-FC1875L1
Linear Algebra
KOBAYASHI Masanori
Wed 1st
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40072
CAS-FC1875L1
Linear Algebra
SHIRAISHI Junichi
Wed 1st
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40073
CAS-FC1875L1
Linear Algebra
Kazuo Habiro
Wed 1st
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40074
CAS-FC1875L1
Linear Algebra
TERADA Itaru
Wed 1st
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40107
CAS-FC1875L1
Linear Algebra
KITAYAMA, Takahiro
Thu 2nd
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40108
CAS-FC1875L1
Linear Algebra
SHIMOKAWA Koya
Thu 3rd
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40110
CAS-FC1875L1
Linear Algebra
SOMA Teruhiko
Thu 3rd
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40111
CAS-FC1875L1
Linear Algebra
YAMAZAKI Mitsuru
Thu 3rd
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40112
CAS-FC1875L1
Linear Algebra
KAJIWARA Takeshi
Thu 3rd
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40113
CAS-FC1875L1
Linear Algebra
KELLY Shane
Thu 3rd
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40123
CAS-FC1875L1
Linear Algebra
Osamu Iyama
Fri 1st
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40124
CAS-FC1875L1
Linear Algebra
Hideko Sekiguchi
Fri 1st
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40125
CAS-FC1875L1
Linear Algebra
Hisayoshi Matsumoto
Fri 1st
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40260
CAS-FC1875L1
Linear Algebra
TERADA Itaru
Wed 1st
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40261
CAS-FC1875L1
Linear Algebra
UENO Yoshiaki
Wed 1st
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40262
CAS-FC1875L1
Linear Algebra
Kazuo Habiro
Wed 1st
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40263
CAS-FC1875L1
Linear Algebra
SHIRAISHI Junichi
Wed 1st
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40264
CAS-FC1875L1
Linear Algebra
KOBAYASHI Masanori
Wed 1st
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40265
CAS-FC1875L1
Linear Algebra
Wed 1st
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40266
CAS-FC1875L1
Linear Algebra
KITAYAMA, Takahiro
Thu 2nd
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40267
CAS-FC1875L1
Linear Algebra
KELLY Shane
Thu 3rd
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40268
CAS-FC1875L1
Linear Algebra
SOMA Teruhiko
Thu 3rd
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40269
CAS-FC1875L1
Linear Algebra
TOSE Nobuyuki
Thu 3rd
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40270
CAS-FC1875L1
Linear Algebra
SHIMOKAWA Koya
Thu 3rd
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40271
CAS-FC1875L1
Linear Algebra
YAMAZAKI Mitsuru
Thu 3rd
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40272
CAS-FC1875L1
Linear Algebra
KAJIWARA Takeshi
Thu 3rd
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40283
CAS-FC1875L1
Linear Algebra
Osamu Iyama
Fri 1st
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40284
CAS-FC1875L1
Linear Algebra
Hideko Sekiguchi
Fri 1st
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40285
CAS-FC1875L1
Linear Algebra
Hisayoshi Matsumoto
Fri 1st
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Linear algebra and analysis for students of humanities and social sciences major I
経済学や統計学、データ科学などにおいて必要とされる線形代数の基礎を学ぶ。二次元・三次元の線形写像と行列、固有値分解などを理解し、簡単な問題に応用できるようになることを目標とする。講義とMATLABを用いた演習を並行して進めることで実践で役立つ理解を目指す
Learn the basics of linear algebra required in economics, statistics, and data science. The goal is to understand two- and three-dimensional linear maps and matrices, eigenvalue decomposition, etc., and to be able to apply them to simple problems. Lectures and exercises using MATLAB will be given in parallel for a practical understanding of the subject
Code
Course title
Lecturer
Semester
Period
0704122
FEC-ST4801L1
Linear algebra and analysis for students of humanities and social sciences major I
Shinji Toudo
Tue 2nd, Fri 2nd
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Linear algebra and analysis for students of humanities and social sciences major II
「文科系のための線形代数・解析I」に引き続き、経済学や統計学、データ科学などにおいて必要とされる線形代数、解析の基礎を学ぶ。線形回帰、二変数関数の微積分、基本的な最適化手法などを理解し、簡単な問題に応用できるようになることを目標とする。講義とMATLABを用いた演習を並行して進めることで実践で役立つ理解を目指す
Continuing from "Linear algebra and analysis for students of humanities and social sciences major I," learn the fundamentals of linear algebra and analysis needed in economics, statistics, and data science. The goal is to understand linear regression, calculus of bivariate functions, and basic optimization methods, and to be able to apply them to simple problems. Lectures and exercises using MATLAB will be given in parallel for a practical understanding of the subject
Code
Course title
Lecturer
Semester
Period
0704123
FEC-ST4801L1
Linear algebra and analysis for students of humanities and social sciences major II
Shinji Toudo
Tue 2nd, Fri 2nd
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Linear Algebra
線型代数学の萌芽である行列は多変数の連立一次方程式を効率的，統一的に扱う手法として発明された．また，行列式は方程式の解がただ一つ存在するための条件として発見された．ベクトルの概念の起こりは古典力学にあり，その意味で線型代数学の歴史は古い．しかし行列の本質である線型性概念の真の威力が認識され，数学の一分野として線型代数学が確立したのは新しく，20世紀にはいってのことであった．
自然界や社会科学における現象は一般には複雑で一次方程式で表せることはまれだが，一次近似によりその本質的な部分をとらえることは常套手段であり，線型代数学の考え方は非常に有効である．また，量子力学や，フーリエ解析などに現れる無限次元のベクトル空間を扱うための基礎ともなっており，線型代数学の応用については枚挙にいとまがない． このように，線型代数学の考え方は現代数学や理論物理学においてはもちろんのこと，工学，農学，医学，経済学などにおいても基本的な考え方として浸透しており，応用範囲も広い．線型代数学は理論的には単純で明快であるが，その反面，抽象的な概念操作にある程度慣れないと理解しにくい面もある．線型代数学を身につけるには，演習などのさまざまな問題にあたり，理解を深めることが必要である．「数理科学基礎」において学んだ線型代数に関する知識を前提とする．
S2タームの「線型代数学①」で以下の項目1, 2を扱い，Aセメスターの「線形代数学②」で項目3～6を扱うことを目安とするが，担当教員によって，順序や内容に一部変更が加えられる場合がある．
1. ベクトル空間，線型写像
2. 生成系，一次独立性，基底
3. 内積
4. 行列式
5. 固有値，固有ベクトル
6. 対称行列の対角化と二次形式
Code
Course title
Lecturer
Semester
Period
40109
CAS-FC1875L1
Linear Algebra
TOSE Nobuyuki
Thu 3rd
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Special Lecture in Human EcologyI
The primary goal of Human Ecology is to understand the interactions between human populations and their environments, and analyze them in terms of adaptation.
Code
Course title
Lecturer
Semester
Period
41522231
GME-IH6231L3
Special Lecture in Human EcologyI
Masahiro Umezaki
Fri 1st, Fri 2nd
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Special Lecture on Global Society IV
This course explores fundamental issues of "law and the environment" from comparative, international/transnational, and socio-legal perspectives. This course aims to understand the basic framework of the environmental rule of law widely shared in a global society. Starting with introducing Japan’s environmental law and experiences, this course sheds light on basic concepts and principles of the environmental rule of law and calls attention to the need to examine how science and risk analysis connect with the law.
Code
Course title
Lecturer
Semester
Period
31D350-0430A
Special Lecture on Global Society IV
USHIJIMA Hitoshi
To Be Arranged
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