Course title
3301760A2
Topics in Pure and Applied Mathematics

TANAKA Yukako

ISHIWATA Tetsuya

IDOGAWA Tomoyuki

ENOMOTO Yuko
and more...

OZAKI Katsuhisa

ZHAI GUISHENG

SHIMIZU Kenichi

SUZUKI Tatsuo

TAKEUCHI Shingo

NAKATSU Tomonori

FUKUDA Akiko

KAJIGAYA Toru

TAMORI Hiroyoshi
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Mathematical Sciences Course DP-4・1 研究者・技術者としての基礎的素養
代数、幾何、解析、応用数学、情報数学などの専門知識を修得し、課題を抽象化して数理的な問題設定をすると共に、適切な理論的考察・計算的手法を用いて問題解決策を構築できる。
Mathematical Sciences Course DP-4・2 キャリアを見据えた高度な専門知識
現象の背後にある数理構造やデータのパターンを理論的に解析し、社会や自然科学、工学における複雑な課題に対して数理的視点から解決戦略を提案できる。
Purpose of class
The object of this course is to know widely about research fields of mathematical sciences with lectures by faculty members of the Department of Mathematical Sciences. Moreover, students are expected to improve their English ability with a focus on mathematical sciences.
Course description
This is a course for the global program at the Department of Mathematical Sciences. Lectures will be delivered in an omnibus form. Each faculty member of the Department of Mathematical Sciences presents research topics in the field of mathematical sciences in English each once. Students are expected to improve their English ability with a focus on mathematical sciences.
Goals and objectives
  1. to be able to understand research topics in the field of mathematical sciences
  2. to be able to understand basic English words and phrases in mathematical sciences
  3. to be able to write a technical report according to professors’ instruction
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Assignment Total.
1. 100% 100%
Total. 100% -
Evaluation method and criteria
Assignment imposed from each lecturer in each class and the final assignment: 100%
If you have at least 11 attendances and if the score is greater than or equal to 60%, you will have a passing grade.
Language
English
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Course Introduction Read the syllabus 190minutes
2. Introduction to Partial Differential Equations (Prof. Enomoto) Assignment from each lecturer 190minutes
3. Discrete dynamical systems (Prof. Fukuda) Assignment from each lecturer 190minutes
4. Introduction to the morphological image analysis (Prof. Idogawa) Assignment from each lecturer 190minutes
5. Mathematical models and their mathematical analysis (Prof. Ishiwata) Assignment from each lecturer 190minutes
6. Mathematics for finance (Prof. Nakatsu) Assignment from each lecturer 190minutes
7. Algebraic geometry and algebraic topology (Prof. Kameko) Assignment from each lecturer 190minutes
8. Special matrices in linear algebra (Prof. Ozaki) Assignment from each lecturer 190minutes
9. From knot theory to quantum algebra (Prof. Shimizu) Assignment from each lecturer 190minutes
10. Introduction to differential geometry and mathematical physics (Prof. Suzuki) Assignment from each lecturer 190minutes
11. Generalization of the trigonometric functions (Prof.Takeuchi) Assignment from each lecturer 190minutes
12. Introduction to representation theory (Prof. Tamori) Assignment from each lecturer 190minutes
13. Mathematics Used in Optimization and Control (Prof. Zhai) Assignment from each lecturer 190minutes
14. Review Assignment from each lecturer 190minutes
Total. - - 2660minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
None
Prerequisites
Office hours and How to contact professors for questions
  • it depends on each lecturer in charge
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Fri Apr 03 04:06:17 JST 2026