Pure and Applied Mathematics
●Degree Programs: Pure and Applied Mathematics
●Degrees conferred: Master and Doctorate (Information Science, Science, Engineering)
Educational Objectives
Based on the educational goals of Osaka University and the Graduate School of Information Science and Technology, the Department of Pure and Applied Mathematics aims to create an interface between information science and mathematics at an extremely high level of abstraction, based on the exploration of pure mathematics and applied mathematics with the keywords “discrete” and “algorithm”. We will conduct research and education in close collaboration with the Department of Mathematics, School of Science, and the Department of Mathematics, Graduate School of Science.
Master's degree program
Cutting-edge, advanced specialized knowledge and outstanding academic expertise
The goal is to provide students with the expertise necessary to become familiar with cutting-edge topics in various fields of mathematics related to “discrete” and “algorithms” and to acquire the ability to make full use of this expertise.
Advanced broad-based knowledge and deep critical thinking
The goal is to familiarize students with the basic theory of a wide range of mathematical disciplines, including pure mathematics (algebra, geometry, and analysis), applied mathematics, statistical mathematics, computational mathematics, and discrete mathematics.
Sophisticated international mindset
The goal is for students to acquire the minimum skills necessary to read European specialized literature and to be able to interact in research in English. We will provide an educational environment that enables students to hone their international perspective, including opportunities to interact with overseas researchers who visit the Department of Pure and Applied Mathematics.
Advanced design prowess
The goal is to acquire design skills that foster flexible ideas based on logical thinking skills that follow strict logic, as well as communication and presentation skills. Upon completion of the program, students will be trained to be active in diverse fields such as education, finance, industry, and IT, and will be produced into society.
Unique Educational Objectives
Based on the advanced design skills acquired in this degree program, we will produce human resources who can make efforts to contribute mathematics to society.
Doctoral degree program
Cutting-edge, advanced specialized knowledge and outstanding academic expertise
The goal is for students to acquire an extremely high level of specialized knowledge in order to become familiar with cutting-edge topics in various fields of mathematics related to "discrete" and "algorithms" and to acquire the ability to carry out their own original research by making full use of this specialized knowledge.
Advanced broad-based knowledge and deep critical thinking
The goal is to provide students with the opportunity to attend sophisticated lectures on topics in line with current trends in a wide range of mathematical fields, including pure mathematics (algebra, geometry, and analysis), applied mathematics, statistical mathematics, computational mathematics, and discrete mathematics, and to become familiar with the basic theories of mathematics in general, which are essential for original research.
Sophisticated international mindset
The goal is to interact with researchers from other countries through attendance at international research conferences and research presentations, to develop an awareness of original issues, to obtain results, and to submit research results to international journals for acceptance.
Advanced design prowess
The goal is to further enhance design, communication, and presentation skills through the practice of independent research activities. Upon completion of the program, we will produce competent human resources who can be active in a wide variety of fields where mathematical thinking skills are indispensable, such as research and education, finance and insurance, and IT industry.
Unique Educational Objectives
We will produce human resources who can contribute significantly to the development of mathematics as it has been practiced since ancient times, who can work at the forefront of the international arena and lead various fields of mathematics, and who can make contributions to society through mathematics.
Degree Awarding Policy (Diploma Policy)
Under the Diploma Policy of Osaka University and the Graduate School of Information Science and Technology, the Master's Degree (in Information Science, Science, or Engineering) will be awarded to students who have enrolled in the Master's Course for the prescribed period of time, earned the prescribed credits for the specialized basic knowledge specified by the major, submitted a master's thesis, and passed its examination and final examinations. In the Doctoral Course, students are awarded a Doctor of Philosophy (Information Science, Science, or Engineering) upon completion of the prescribed period of enrollment, acquisition of the prescribed credits for specialized knowledge specified by the department, submission of a doctoral thesis, and successful completion of the examination and final examinations.
Master's degree program
Cutting-edge, advanced specialized knowledge and outstanding academic expertise
Students acquire skills and applications of mathematics in their individual fields of specialization.
Advanced broad-based knowledge and deep critical thinking
Students acquire basic knowledge of a wide range of mathematics.
Sophisticated international mindset
Students should be able to read and understand the specialized literature in European languages and, furthermore, have the minimum ability to express his/her own mathematical ideas in mathematical formulas and discuss them in English.
Advanced design prowess
Students acquire logical thinking ability to follow rigorous logic and communication and presentation skills, which are the foundation of originality in creating novel mathematical concepts and proof methods.
Unique Educational Objectives
The master's thesis must be original by the thesis author. In principle, the thesis should contain original theorems by the thesis author. However, mathematically significant computational results (e.g., computer experiments), alternative proofs of known theorems, or reconstructions of existing theories are also acceptable if the thesis author's contribution is outstanding.
Doctoral degree program
Cutting-edge, advanced specialized knowledge and outstanding academic expertise
Students acquire mastery of advanced mathematical techniques and outstanding applied skills in individual areas of specialization.
Advanced broad-based knowledge and deep critical thinking
Students acquire a broad and advanced knowledge of mathematics.
Sophisticated international mindset
Students should be able to read and understand the specialized literature in European languages, and furthermore, be able to express their own mathematical ideas and discuss them in English.
Advanced design prowess
Students acquire a solid creative ability to create novel mathematical concepts and proofs.
Unique Educational Objectives
The doctoral dissertation must be of sufficient academic value, including novelty and originality, and the major part of the content must have been or be scheduled to be published in an internationally recognized peer-reviewed journal.
Teaching and Learning Policy (Curriculum Policy)
Under the curriculum policy of Osaka University and the Graduate School of Information Science and Technology, the Master's Course, in collaboration with the Department of Mathematics in the Graduate School of Science, offers advanced specialized courses in algebra, geometry, analysis, applied mathematics, statistical mathematics, computational mathematics, discrete mathematics, and other fields, exposing students to cutting-edge topics in their own specialized fields as well as in the surrounding areas. Students are exposed to cutting-edge topics in their own specialized fields as well as in the surrounding areas. In the doctoral program, students aim to develop the ability to carry out original research in mathematics on their own. Through presentations of their research at research meetings in Japan and abroad, as well as at international conferences, they hone their presentation skills and develop a foundation for advancing their own research through discussions with other mathematicians.
Master's degree program
Principles of Curriculum Design
The core subject of the Master's Program curriculum is Research on Pure and Applied Mathematics. In addition, students will strengthen their English language skills for reading European technical books and research papers, and develop basic mathematical academic skills that will prepare them to write their master's thesis. The program also aims to develop basic mathematical academic skills in preparation for writing a master's thesis.
Contents and Methods of Education
In the Master's Course, students learn cutting-edge topics in algebra, geometry, analysis, applied mathematics, and other fields, mainly in the form of lectures, with the aim of grasping current trends in mathematics in general, not just in their own specialized fields. In addition, students take lecture courses in basic subjects, boundary-crossing subjects, and cross-disciplinary subjects to reinforce their basic academic skills. In Research on Pure and Applied Mathematics, students read, present, and discuss European technical books or research papers in their own specialized fields in a seminar format to prepare for the writing of their master's thesis.
Academic Performance Evaluation Method
In the Master's Course lectures, the students will be evaluated based on reports and oral examinations. In particular, reports are evaluated in detail for originality. For Research on Pure and Applied Mathematics, students' design ability, communication ability, and presentation ability will be evaluated based on their presentations in the seminars. In particular, presentation skills are evaluated in detail, including preparation for the seminar.
Doctoral degree program
Principles of Curriculum Design
The ultimate goal of the doctoral program is to write a paper that will be accepted by a prestigious international journal and to publish the academic findings obtained as an outstanding doctoral dissertation.
Contents and Methods of Education
In the doctoral program, the students read cutting-edge research papers in their own specialized fields, improve their original ability to create their own problems related to the contents of the papers, solve their own problems, and summarize them in a research paper. The content of the research paper, the problem created by the student, and the policy for solving the problem are mainly carried out in the form of seminars. Specialized courses are conducted mainly in the form of seminars.
Academic Performance Evaluation Method
In the doctoral program, the students are evaluated on the basis of a research paper they write. Design, communication, and presentation skills are also evaluated from various perspectives.
