Fundamental Science and EngineeringCreative Science and EngineeringAdvanced Science and EngineeringⅠ FeaturesⅡ History and ProfileⅢ RequirementsCONTENTSThe objective of the Department of Pure and Applied Mathematics is to study problems arising in various fields of mathematical science, including pure and applied mathematics.In the basic stages of this field, students must deepen their understanding of the concepts required. In the next stage, students need to develop their ability to apply the theories and methods they have developed. At higher stages, students carry out research activities such as exploring unknown territory in mathematical science and working on unsolved problems.The Department of Pure and Applied Mathematics consists of the following seven research areas: Mathematical Logic, Algebra, Geometry, Analysis, Mathematics of Phenomena, Computational Mathematics, and Statistical Science. Students belong to one of the research areas from which they select courses, mainly from the recommended courses of each research area. However, these research areas are not independent from each other in terms of academic characteristics, but are organically related to each other. Therefore, students are recommended to choose and study courses in a well-balanced manner without being constrained to one specific research area.In master’s programs, apart from lecture courses, seminar courses are provided, and students are required to take the seminar courses provided by their supervisor. These seminars form the foundation for the Department of Pure and Applied Mathematics, and students are required to be well-prepared before attending seminars. It is important for attendees to deepen their understanding of the themes through research discussions.Students in a doctoral program are required to develop their research ability and attitude to lead research activities on their own initiative as independent researchers.Mathematical logic is traditionally classified into set theory, recursive function theory, model theory, and proof theory. Among these, recursive function theory is related to the fundamentals of computer sciences, and as a result, proof theory is partially related to computer-related research areas. On the other hand, set theory has developed as an area of pure mathematics, and its application to other areas of pure mathematics that deals with infinites is observed. This research area provides lectures on set theory and its application and the fundamental theory of information and computer science.Summary of Each Research Area◆ Mathematical Logic8 List of Courses for Each Department39Department of Pure and Applied Mathematics
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