Educational/Research Objectives and Policies - Division of Science

Mathematics Major

Educational and Research Objectives

Master's Program

While providing the foundations for a variety of academic disciplines, mathematics is also applied across many fields in modern society. Based on the description of the kind of individuals that the university seeks to nurture outlined in the “school philosophy” of Kyoto Sangyo University, the Master’s Program aims to nurture researchers and highly skilled professionals who can use their advanced knowledge of mathematics to develop science in creative ways.

Doctoral Program

Mathematics is a discipline whose primary value lies in uncovering scientific truths and opening up new frontiers. The Doctoral Program aims to nurture researchers who can study mathematics in depth and develop creative research from an international perspective.

Policies

Diploma Policy

Master's Program

Based on the educational and research objectives of the Master’s Program, the Division of Science confers a “master’s degree (in mathematics)” on students who have acquired the following qualities:

  1. Basic knowledge across the entire spectrum of mathematics
  2. Extensive knowledge of their major theme of study
  3. Ability to identify and resolve problems and convey ideas, as required from a researcher or highly skilled professional

To complete the program and receive a degree, students must fulfill the following requirements:

  1. Study in the Division of Science for the designated period of time
  2. Earn the designated number of credits for courses offered by the Division of Science
  3. Submit a thesis and pass its inspection and examination

Doctoral Program

Based on the educational and research objectives of the Doctoral Program, the Division of Science confers a “doctoral degree (in mathematics)” on students who have acquired the following qualities:

  1. In-depth knowledge of the research theme along with extensive knowledge of and excellent insight in their major field of study
  2. Independent and creative research activity by identifying and resolving problems themselves
  3. Actively conveys one’s research achievements

To complete the program and receive a degree, students must fulfill the following requirements:

  1. Study in the Division of Science for the designated period of time
  2. Earn the designated number of credits for courses offered by the Division of Science
  3. Submit a dissertation and pass its inspection and examination

Curriculum Policy

Master's Program

To achieve the goals set out in the Diploma Policy (for approving graduation and conferring degrees), the mathematics course has established a curriculum that consists of “basic courses,” “specialized courses,” and “research courses.”

The curriculum is optimized through self-inspection and evaluation of the educational outcomes.

Details of the educational content, educational methods, and evaluation of learning outcomes are outlined below:

1. Educational Content
In the “basic courses” offered in the first year (“Basic Mathematics A, B, C, D, E, and F,” and “Advanced Intensive Lectures Ⅰ and Ⅱ”), students acquire basic knowledge across the entire spectrum of mathematics. In the “specialized courses” offered in the first year (“Advanced Study in X”), students study advanced theory in their area of expertise. In the “research courses” offered in the first and second years (Special Research in X A, B, C, and D), under the guidance of their research supervisor, students read books and materials on their major theme of study, through which they identify problems to address in their master’s thesis and seek solutions, while acquiring the necessary qualities needed to become a researcher or highly skilled professional.

2. Educational Methods
The “basic courses” and “specialized courses” consist of lecture classes.

In the “research courses,” students read books and materials on their major theme of study and prepare a master’s thesis under the guidance of their research supervisor. Then, students present the results of their master’s research at an internal presentation meeting.

3. Evaluation of Learning Outcomes
The learning outcomes of each course are evaluated according to the methods and standards for assessing grades stipulated in the syllabus of each course.

Also, in addition to credits from specialized courses, students are evaluated on the content of their master’s thesis and the result of the final examination to be awarded a degree.

Doctoral Program

To achieve the goals set out in the Diploma Policy (approving graduation and conferring degrees), the Doctoral Program has established a curriculum that includes “special research courses.” In addition, we offer “lecture courses” that explain developments, methods, and future challenges at the forefront of mathematics research.

The curriculum is optimized through self-inspection and evaluation of the educational outcomes.

Details of the educational content, educational methods, and evaluation of learning outcomes are outlined below:

1. Educational Content
In the “Advanced Mathematics Relay Lectures” offered in the first year, students are introduced to trends and methods at the cutting edge of each research field and acquire advanced knowledge of mathematics. In the “special research courses” offered in the first and second year (Special Research in X A and B), students conduct independent research activities with the aim of becoming a researcher on the front line of mathematics research while improving their research skills, including communication and presentation skills.

In the third year, students identify problems to address in their doctoral dissertation and seek solutions through free discussion with their research supervisor.

2. Educational Methods
In the “special research courses,” students read about the topic pertaining to their major under the guidance of their research supervisor and receive guidance for preparing a doctoral dissertation.

3. Evaluation of Learning Outcomes
The learning outcomes of each course are evaluated according to the methods and standards for assessing grades stipulated in the syllabus of each course.

In addition to credits from specialized courses, students are evaluated on the content of their doctoral dissertation and the content of their presentation at the open doctoral presentation meeting to be awarded a degree.

Admission Policy

Master's Program

The Division of Science seeks students with a keen interest and basic academic ability in mathematics and mathematical science, as well as willingness to acquire in-depth knowledge and skills for professional work in a specific field, and students who are enthusiastic about considering matters carefully, discovering interesting phenomena, and solving problems.

Students are selected using a variety of methods that can evaluate the above requirements.

Doctoral Program

The Division of Science seeks students with excellent logical thinking skills and basic academic ability at the master’s level, who have the enthusiasm to discover new problems themselves and will to resolve them.

Students are selected using a variety of methods that can evaluate the above requirements.