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Introduction to Mathematical Sciences1| Program / Major | mDP | Goals |
|---|---|---|
| IoT Course | DP-4a・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Software Course | DP-4b・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Media Course | DP-4c・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Data Science Course | DP-4d・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Mechatronics Course | DP-4・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Architecture and Architectural Engineering Course | DP-4a・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Environmental Systems and Urban Planning Course | DP-4b・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Bioscience Course | DP-4a・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Biomedical Engineering Course | DP-4b・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| Sports Engineering Course | DP-4c・3 | 専門分野と他分野を関連付ける素養 主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。 |
| 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。 |
This course aims to provide an overview of the various fields studied in the Mathematical Sciences Program and to foster an
understanding of the fundamental ideas and broad scope of research in the mathematical sciences. It surveys major areas such
as algebra, analysis, geometry, probability and statistics, applied mathematics, and information mathematics, introducing
their basic concepts and contemporary developments while offering insight into the essence of mathematical thinking. In addition,
by examining how the mathematical sciences relate to diverse disciplines—including the natural sciences, engineering, information
science, and the social sciences—and how they have developed in both theoretical and applied directions, the course seeks
to enhance students’ motivation to pursue specialized subjects and to cultivate their ability to think independently about
their future studies and research directions.
“Mathematical sciences” refers to mathematics in a broad sense, encompassing pure mathematics, applied mathematics, information
mathematics, and related fields. It has a long history as an academic discipline, and its achievements have been applied across
a wide range of areas, making significant contributions to the development of industry and society.
This course is conducted in an omnibus format, in which several faculty members responsible for the Mathematical Sciences Program deliver lectures in their respective areas of expertise. The topics covered range widely, from abstract concepts to applied subjects. In each class, fundamental themes or representative problems from a particular field are introduced, illustrating how problems are formulated, analyzed, and understood from a mathematical-scientific perspective.
Through this course, students are expected to acquire fundamental mathematical literacy, gain an understanding of current research trends and connections with society, and develop a broad awareness of the diverse research areas related to the mathematical sciences.
This course is conducted in an omnibus format, in which several faculty members responsible for the Mathematical Sciences Program deliver lectures in their respective areas of expertise. The topics covered range widely, from abstract concepts to applied subjects. In each class, fundamental themes or representative problems from a particular field are introduced, illustrating how problems are formulated, analyzed, and understood from a mathematical-scientific perspective.
Through this course, students are expected to acquire fundamental mathematical literacy, gain an understanding of current research trends and connections with society, and develop a broad awareness of the diverse research areas related to the mathematical sciences.
- Be able to explain the outline of each specialized field within the mathematical sciences.
- Be able to understand the fundamental process of problem solving in the mathematical sciences.
- Be able to understand the academic and societal significance of the mathematical sciences and relate it to one’s own study plan.
| Assignments | Total. | |
|---|---|---|
| 1. | 30% | 30% |
| 2. | 35% | 35% |
| 3. | 35% | 35% |
| Total. | 100% | - |
Assignments given by the lecturer in each class and the final assignment: 100%
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Course Guidance | Reviewing the syllabus | 190minutes |
| 2. | Mathematical Models of Real-World Phenomena (Ishiwata) | Assignment from the lecturer for this class | 190minutes |
| 3. | （Idogawa）Computer Algebra | Assignment from the lecturer for this class | 190minutes |
| 4. | （Enomoto） Phenomena and Differential Equations | Assignment from the lecturer for this class | 190minutes |
| 5. | （Ozaki）Computational speed and numerical accuracy | Assignment from the lecturer for this class | 190minutes |
| 6. | （Kajigaya）Introduction to Geometric Variational Problems | Assignment from the lecturer for this class | 190minutes |
| 7. | （Zhai） Feedback Control | Assignment from the lecturer for this class | 190minutes |
| 8. | （Shimizu）Braids and group theory | Assignment from the lecturer for this class | 190minutes |
| 9. | （Suzuki）Introduction to differential geometry | Assignment from the lecturer for this class | 190minutes |
| 10. | (Takeuchi) From Calculus to Functional Analysis | Assignment from the lecturer for this class | 190minutes |
| 11. | （Nakatsu）Mathematics for finance | Assignment from the lecturer for this class | 190minutes |
| 12. | （Fukuda）Introduction to Discrete Mathematical Models | Assignment from the lecturer for this class | 190minutes |
| 13. | （Tamori）Matrix Exponential | Assignment from the lecturer for this class | 190minutes |
| 14. | Review and final Assignment | Assignment from the lecturer for this class | 190minutes |
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| The Others | it depends on the lecturer. |
- Contact the lecturer you wish to ask questions or consult.
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
Last modified : Fri Apr 03 04:06:13 JST 2026