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Results
The URLs, account and classroom informations have been removed to prevent the leakage of internal information for online classes.\ Last updated at Mar 16, 2026.\ \ 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.\
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Complex Analysis I
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本講義では複素数平面，複素函数の微分，複素線積分、コーシーの積分定理、留数定理といった複素函数論の基礎について解説を行う．
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Code
Course title
Lecturer
Semester
Period
0505005
FSC-MA2331L1
Complex Analysis I
IWAKI Kohei
A1
A2
Tue 1st, Tue 2nd
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Exercise in Complex Analysis I
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複素解析学Iの講義に沿った演習問題を出題し、講義の理解を深めるとともに、問題解答の技法や発表の仕方を学ぶ。
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Code
Course title
Lecturer
Semester
Period
0505009
FSC-MA2431S1
Exercise in Complex Analysis I
IWAKI Kohei
A1
A2
Tue 4th
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Fieldwork
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理系の1年生がSセメスターに学ぶ熱力学では状態を表す関数が多変数関数であるため状態の変化は多変数関数の微分によって表されます。しかし、大学に入学したばかりの1年生のほとんどは多変数関数の微分どころか多変数関数に触れたことさえありません。一方、多変数関数の微分が数学の講義で扱われるのは（S1タームで少し扱われるものの）S2タームの後半からAセメスターにかけてで、しかも、3, 4回程で足早に説明されることがほとんどです。そこで、このゼミナールでは、熱力学の講義に間に合うことにも配慮しながら多変数関数の微分を13回かけてゆっくりと学びます。必要なことは熱力学の講義でも説明されるし、少し待てば数学の講義でも学ぶ内容なので、数学が気になって熱力学の内容に集中できない人や、数学が苦手で見たこともない数学の記号が出てきただけでめまいがして熱力学どころではなくなってしまう、というような人を念頭において話を進める予定です。 なお、熱力学の物理学としての内容には一切触れないし、熱力学で使う数学のすべてを網羅するものでもありません。逆に、熱力学には出てこなくても多変数関数の微分の観点から外せない内容は扱います。あくまでも数学の授業です。誤解のないようにお願いします。また、1変数関数の微分をよく理解していることを前提にしないので、多変数関数の微分とはどんなものかということに興味のある文系の学生も歓迎します。
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Code
Course title
Lecturer
Semester
Period
31553
CAS-TC1300Z1
Fieldwork
Osamu Iyama
S1
S2
Mon 5th
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Complex Analysis
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複素函数論の基本的な事柄を学ぶ. 複素函数の中でも, 特に正則函数の持ついくつもの美しい性質について, 具体例を交えつつ学ぶ. 収束冪級数展開をもとに, 三角関数, 指数関数や対数関数などの実函数の定義域を複素数に拡張したものは正則函数の例となっている. 正則函数の複素積分におけるコーシーの定理や, 留数定理による積分計算法は応用上も非常に重要である.
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Code
Course title
Lecturer
Semester
Period
08E1009
FAS-EA2B10L1
Complex Analysis
Hidetaka Sakai
A1
A2
To Be Arranged
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Tutorial on Complex Analysis
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複素解析学の講義に沿った演習問題を出題し，講義の理解を深めるとともに，問題解答の技法や発表の仕方を学ぶ．
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Code
Course title
Lecturer
Semester
Period
08E1010
FAS-EA2B11S1
Tutorial on Complex Analysis
Hidetaka Sakai
A1
A2
To Be Arranged
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Complex Analysis II
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複素解析学 I に引き続き，複素解析学の基礎理論を解説する．
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Code
Course title
Lecturer
Semester
Period
0505126
FSC-MA3333L1
Complex Analysis II
Hidetaka Sakai
S1
S2
Wed 1st, Wed 2nd
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Complex Analysis Ⅱa
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複素解析学 I に引き続き，複素解析学の基礎理論を解説する．
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Code
Course title
Lecturer
Semester
Period
0505152
FSC-MA3338L1
Complex Analysis Ⅱa
Hidetaka Sakai
S1
Wed 1st, Wed 2nd
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Complex Analysis Ⅱb
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複素解析学 I に引き続き，複素解析学の基礎理論を解説する．
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Code
Course title
Lecturer
Semester
Period
0505153
FSC-MA3339L1
Complex Analysis Ⅱb
Hidetaka Sakai
S2
Wed 1st, Wed 2nd
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Mathematical Method I
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物理学に必要な複素関数論と常微分方程式を理解する。／ To understand the complex analysis and ordinary differential equation which are necessary in physics
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Code
Course title
Lecturer
Semester
Period
0515007
FSC-PH2310L1
Mathematical Method I
HAMAGUCHI, Koichi
A1
Thu 2nd, Thu 3rd
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Functional and Logic programming Lab
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ML言語およびProlog言語を通し，関数型／論理型プログラミング言語への理解を深め， また関数型／論理型プログラミングの技能を取得する．
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Code
Course title
Lecturer
Semester
Period
0510031
FSC-IS3031E1
Functional and Logic programming Lab
Naoki Kobayashi
S1
S2
Tue 3rd, Tue 4th
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