Mathematical Sciences Program Overview

Mathematical sciences refer not only to mathematics itself but also to the interdisciplinary areas connecting mathematics with various scientific fields, forming the foundation of science and technology that supports a sustainable society. The Mathematical Sciences Course aims to contribute to the advancement of mathematical sciences and to society by conducting education and research that integrate both pure and applied mathematics, and by cultivating individuals who possess specialized knowledge in mathematics and interdisciplinary fields.

In the Mathematical Sciences Program, degrees are awarded to students who meet the graduation requirements and who, by the time of graduation, have acquired the abilities and qualities specified as essential for achieving the educational and research objectives of the program.

＜Foundational Liberal Arts Competencies＞
DP-1（Common to the Faculty）
⚫︎ Students acquire a broad perspective and cultural literacy that enable them to consider people, objects, and events from multiple angles with a global viewpoint, and to address various issues in a multifaceted and objective manner.
⚫︎ Students understand both the benefits and risks of science and technology on society and the natural environment, as well as the responsibilities that engineers and scientists bear toward society, and they are able to act based on a professional ethical mindset that contributes to society.
⚫︎ Students acquire knowledge in natural sciences, information technology, and related fields, and are able to apply this knowledge to solving problems.

＜Integrated and Interdisciplinary Knowledge and Skills＞
DP-2（Common to the Faculty）
⚫︎ Students are able to identify concrete issues that must be addressed to achieve a given objective and to view phenomena involving people, objects, and events as systems. (Systems Thinking)
⚫︎ Students can apply systems thinking to derive comprehensive solutions. (Systems Engineering)
⚫︎ Students are capable of forming and working within teams in which each member can maximize their abilities by connecting and integrating the knowledge and skills of all involved. (Collaborative Competence)
⚫︎ Students can transform ideas for solving real-world social problems into tangible forms and take action toward social implementation. (Entrepreneurship)
⚫︎ Students recognize the knowledge and skills necessary to solve new problems and continue learning to expand their own potential. (Lifelong Learning Ability)

＜Communication Skills＞
DP-3（Common to the Faculty）
⚫︎ Students are able to communicate effectively through technical writing, oral presentations, and discussions.
⚫︎ Students can understand and create technical documents in English and communicate with engineers and scientists in English.

＜Ability to Apply Specialized Knowledge＞
DP-4 (Mathematical Sciences Course)
(1) Fundamental Competencies Required of Researchers and Engineers
Students acquire specialized knowledge in areas such as algebra, geometry, analysis, applied mathematics, and mathematical informatics, enabling them to abstract real-world issues into mathematical problem settings and to construct solutions using appropriate theoretical considerations and computational methods.
(2) Advanced Specialized Knowledge for Future Career Development
Students learn how to theoretically analyze the mathematical structures underlying phenomena and the patterns within data and propose solution strategies from a mathematical perspective for complex challenges in society, natural sciences, and engineering.
(3) Competence to Integrate One’s Specialization with Other Fields
Students acquire interdisciplinary knowledge and the ability to take action that connects their primary field of specialization with other disciplines, enabling them to apply these competencies in society.

DP-4b (Biomedical Engineering Course)
(1) Fundamental Competencies Required of Researchers and Engineers
Students acquire specialized knowledge and manufacturing skills in biomedical engineering, enabling them to solve problems logically.
(2) Advanced Specialized Knowledge for Future Career Development
Students learn how to understand biological phenomena based on engineering principles and develop medical and welfare devices, as well as bio-control technologies.
(3) Competence to Integrate One’s Specialization with Other Fields
Students acquire interdisciplinary knowledge and the ability to take action that connects their primary field of specialization with other disciplines, enabling them to apply these competencies in society.

Under the curriculum policy of the faculty, the Mathematical Sciences Program is structured to enable students to acquire specialized knowledge in the mathematical sciences, along with cross-disciplinary knowledge that integrates these areas, and to develop the ability to apply such knowledge to problem-solving. The curriculum of Specialist subjects is structured so that students can build their career path by completing the following modules—each outlining the skills required for professional development—and by conducting an integrative research project. The learning outcomes acquired through this curriculum are evaluated from multiple perspectives—such as examinations, reports, and presentations—and students are encouraged to reflect on their progress, thereby leading them toward the achievement of the learning and educational goals.

＜Liberal Arts subjects＞
It consists of mathematics and science, information, social sciences, humanities, health and physical education, and English.
CP-1（Common to the Faculty）
⚫︎ Subjects in social sciences, humanities, health and physical education, and English are offered to help students develop a broad perspective and cultural literacy from a global point of view.
⚫︎ Subjects in ethics are offered to help students develop a broad perspective and cultural literacy related to professional ethics.
⚫︎ Subjects in mathematics, science, and information technology are offered to provide students with foundational knowledge in natural sciences and information technologies.

＜Interdisciplinary subjects＞
CP-2（Common to the Faculty）
⚫︎ Subjects in systems engineering are offered to help students develop systems thinking—the ability to identify concrete issues that must be addressed to achieve a given objective and to view phenomena involving people, objects, and events as systems.
⚫︎ Courses in systems engineering are offered to help students develop the ability to derive comprehensive solutions using systems thinking (systems engineering).
⚫︎ Subjects in systems engineering are offered to help students develop collaborative competence—the ability to work together effectively in teams through project-based activities.
⚫︎ Subjects in systems engineering, entrepreneurship, and SDGs/career design are offered to help students develop the ability to transform ideas for solving real-world social issues into concrete forms and take action toward social implementation (entrepreneurship).
⚫︎ Subjects in career design and entrepreneurship are offered to help students develop lifelong learning ability—the capacity to recognize the knowledge and skills needed to solve new problems and to continue learning in ways that expand their own potential.

＜Interdisciplinary subjects （Communication）＞
CP-3（Common to the Faculty）
⚫︎ Subjects in systems engineering and the Graduation Research are offered to help students develop the ability to communicate through technical writing, oral presentations, and discussions.
⚫︎ English subjects are offered to help students develop the ability to understand and produce technical documents in English and to communicate with engineers and scientists in English.

＜Specialist subjects＞
CP-4 (Mathematical Sciences Course)
Major Modules
(1) The major modules are designed to develop the fundamental competencies required of mathematical engineers.
⚫︎ Fundamental Module in Mathematical Sciences
This module consists of mathematics and information science subjects that provide the foundational knowledge and basic methods of mathematical reasoning required for studying mathematical sciences, as well as introductory seminar subjects. It also emphasizes helping students recognize real-world relevance and diverse societal needs by appropriately introducing practical applications of mathematical sciences in society.
⚫︎ Fundamentals of Mathematical Sciences Module
This module consists of introductory subjects in algebra, geometry, analysis, and applied mathematics, which form the foundation of mathematical sciences, as well as survey subjects designed to provide a broad understanding of the diverse research fields related to mathematical sciences.

(2) The major modules are structured to enable students to acquire advanced specialized knowledge aligned with their future career paths.
⚫︎ Algebra and Geometry Module
This module consists of subjects designed to provide specialized knowledge related to algebra and geometry.
⚫︎ Analysis Module
This module consists of subjects designed to provide specialized knowledge in analysis.
⚫︎ Applied Mathematics Module
This module consists of subjects designed to provide specialized knowledge in mathematical modeling, mathematical programming, and control theory, as well as skills for conducting simulations.
⚫︎ Information Mathematics Module
This module consists of subjects designed to provide specialized knowledge in theoretical computer science, high-performance computing, object-oriented programming, and other areas of mathematical informatics.
⚫︎ Financial and Insurance Mathematics Module
This module consists of subjects designed to provide specialized knowledge in the fields of financial engineering and actuarial (insurance) mathematics.
⚫︎ Mathematics and Information Science Teaching Certification Module
This module consists of subjects designed to provide the specialized knowledge and instructional methods required to obtain teaching certificates in Mathematics and Information.
⚫︎ Study Abroad Module
This module consists of subjects related to short-term study abroad and subjects for learning specialized knowledge in the field of mathematical sciences in English.

(3) Graduation Research and minor modules are offered to help students develop the competence to relate their specialized field to other disciplines.
⚫︎ Graduation Research (Comprehensive Research)
Students develop the ability to apply specialized knowledge in mathematics and interdisciplinary fields related to mathematical sciences to investigate problems within their chosen themes. Through this process, they cultivate the capacity to derive concrete solutions comprehensively and across disciplines.

Minor Modules
⚫︎ Modules Offered for Other Programs/Courses

Under the Diploma Policy and Curriculum Policy of the Faculty, the Mathematical Sciences Program promotes interdisciplinary learning that extends beyond the field of mathematical sciences to include other programs and courses. To ensure that students can fully benefit from this cross-disciplinary learning environment, we seek applicants with the following qualities.

Desired Student Profile
AP-1
Individuals who have a strong interest and motivation in realizing a sustainable and prosperous society, and who aspire to become researchers or engineers with an international perspective.

AP-2
Individuals who are able to make full use of the educational and research environment of the Mathematical Sciences Program and proactively engage in higher-level learning.

AP-3
Individuals who possess integrity, ethical awareness, and appropriate communication skills, and who can act with sound judgment as members of the scientific and technological community.

AP-4 (Mathematical Sciences Course)
In the Mathematical Sciences Course, we seek applicants with the following qualities to ensure that their engagement in education and research in the field of mathematical sciences will be meaningful and productive.
(1) Individuals who have acquired the fundamental academic abilities necessary to study foundational subjects such as mathematics, physics, and information technology, as well as specialized subjects in mathematical sciences.
(2) Individuals who understand the foundations of mathematics and mathematical sciences, and who are motivated to tackle the mathematical elucidation of natural phenomena as well as social and engineering-related challenges.

The Three Key Competencies Cultivated in High School
Applicants to this program are expected to have acquired the following abilities during their high school education.
(1) The knowledge, skills, and techniques studied in the senior high school curriculum or equivalent (especially foreign language, mathematics, and science).
(2) Abilities such as reasoning, judgment, and expression.
(3) Ability to take the initiative and learn in collaboration with diverse others.
To evaluate the above abilities in a multifaceted and comprehensive manner, admissions selections are conducted in accordance with the College of Systems Engineering and Science’s Admission Policy.
In this program, the following admission selections are conducted to evaluate the above abilities in a comprehensive and multifaceted manner. For details on the weighting of evaluations (such as scoring), please refer to the guidelines for each selection method.
⚫︎ In the Regular Admission Method (Round 1, Round 2, and the Common Round), emphasis is placed on (1), while (2) is evaluated through written examinations and external tests.
⚫︎ In the Regular Admission Common Test for University Admissions Method, a comprehensive evaluation of (1) and (2) is conducted based on total scores across multiple subjects.
⚫︎ In the School Recommendation Method, (1) and (2) are evaluated using the school record, and (1) through (3) are evaluated comprehensively through interviews.
⚫︎ In the Comprehensive Evaluation Method, (1) and (2) are evaluated through basic academic assessments and external certification examinations, and (1) through (3) are evaluated comprehensively through interviews.
⚫︎ In the Special Admission Selection, (1) and (2) are evaluated through external certification examinations and written tests, and (1) through (3) are evaluated comprehensively through submitted documents and interviews.