Curriculum
A broader and more systematic study of mathematics, from pure theory to applications
Mathematics is the study of the fundamental principles and properties of numbers, shapes, functions, and so on, elucidated by abstract logical systems. Furthermore, it has a wide range of applications as a tool for describing and analyzing various natural and social phenomena.
The newly established Department of Mathematics at Osaka Metropolitan University, which was formed by the integration of the Department of Mathematics at Osaka City University and the Department of Mathematical Sciences at Osaka Prefecture University, is poised to provide students with a broad and more functional study of mathematics, from algebra, geometry, and analysis, the three pillars of pure mathematics, to applied mathematics such as probability theory, statistics etc.
With a large number of faculty members per student, students can receive direct advice and guidance from many faculty members in an academic environment and also have opportunities for exchange with other fields, universities, and overseas students and researchers.
Course Introduction
Algebra 4
The main interest of the theory of algebraic field extensions is to consider the roots of a polynomial with coefficients in the field. Cubic and quartic equations have a way to find the roots like that of a quadratic equation, but quintic and higher-order equations do not. This is where you will find out why.
General Topology 1
In the first year of the program, the concepts of limit and continuity learned in the high school are described rigorously by using the epsilon-delta definition of limit in Mathematics B. In this course, we will extend them to general metric spaces, and then General Topology 2 deals with more abstract topological spaces.
Partial Differential Equations
Physical phenomena such as heat conduction and waves are described by partial differential equations for derivatives of multivariate functions. In this course, students will learn the theory of Fourier series and Fourier transforms, focusing on these typical equations that appear in mathematical physics.
Mathematical Statistics 1
With the recent development of the information society, the usefulness of data has been increasing. In this course, students will learn statistics, which is a means of handling various types of data in various fields and analyzing data.
Applied Mathematical Science
In the real world, there are various phenomena, such as epidemics of viral infections, which can be described by differential equations. In this course, students will learn how to solve such differential equations numerically and understand the mechanisms of these phenomena.
Exercises
In the Department of Mathematics, each of the main lecture courses up to the third year of the program is accompanied by an exercise. In these exercises, students solve problems related to what they have learned in the lectures and present their solutions, to acquire an advanced understanding of mathematical theory and presentation skills. In the fourth year of the program, students choose a research theme that they will specialize in and pursue in-depth in Undergraduate Research A and B.
Graduate School: To the cutting edge of modern mathematics and the forefront of mathematical science
After you have studied mathematics for 4 years as an undergraduate, you must have realized that you are just at the beginning of the endlessly wide world of mathematics. By continuing your studies in the Master’s course for another 2 years, you will be able to come into contact with the latest research. You will get many opportunities to read and understand the latest research papers, develop your mathematical theories, and present your research results not only in Japan, but also abroad. Students familiar with highly abstract thought will be able to see firsthand how it leads to the elucidation of the essential structure of things and how it is valuable and alive in modern society.
If you wish to continue your research in mathematics after earning your Master’s degree, you can study in a 3-year Ph. D. program.