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##### POLICIES

The department recruits enthusiastic and inquisitive students who with a great interest in learning and developing the accumulated knowledge of human beings and with a genuine passion for making contributions to society.

We are always open to motivated individuals who:

- Have the basic academic skills including English language skills, and are not afraid of sustained effort to find the truth.
- Have a broad perspective and a strong desire for knowledge and creativity.
- Broaden the horizons of their mind through communication.
- Aim to contribute to society as a researcher, engineer or educator.

These three divisions aim to ensure interconnection and interoperability with the following keywords:

- Observed data analysis and simulation
- Mathematical hypothesis to new phenomena
- Modeling of computation principle phenomena
- Approach to finance and insurance mathematics with using theory of stochastic process

In parallel with above courses, students address research questions under the guidance of their faculty advisors to develop logical thinking and communication skills through presentations, discussions, and interactive activities. They also work on their thesis, which enhances their mathematical reasoning as well as improves oral and written expression skills.

The Master's degree will be awarded upon successful completion of the number of credits specified by the curriculum policy within the designated number of years, and passing the thesis examination and the foreign language proficiency test.

The Master's thesis must be completed under the direction of a faculty advisor and submitted to the examinations committee within the designated time limit.

In addition, the following conditions must be satisfied:

- Acquire knowledge and skills as a professional.
- Develop expertise in your specialized field.
- Have an open mind and intellectual flexibility to work outside of their field of study.

The doctoral degree will be awarded upon successful completion of the number of credits specified by the curriculum policy within the designated number of years, and passing the dissertation examination and the foreign language proficiency test.

The doctoral dissertation must be completed under the direction of a faculty advisor and submitted to the examinations committee within the designated time limit.

In addition to the above, the following conditions must be satisfied:

- Acquire knowledge and skills as a professional.
- Develop initiative and independence as a scientific researcher.
- Develop the ability to establish their own line of research and have potential to provide innovative solutions.

#### Division of Earth-Environmental Sciences

##### The first stage of the doctoral program

Research on interrelationship of spheres of the earth and on fundamental components of the earth

The goal of this program is to provide students with basic knowledge of the elements of the earth and practice of research on the interrelationship of the earth's spheres.

Students will learn how to conduct basic research on total interrelationships among the spheres of the earth system and on the materials composing the earth, based on knowledge from the following fields: solid-earth geophysics, solid-earth geochemistry, earth interior, geological sciences, hydrology, and atmospheric science.

##### The second stage of the doctoral program

The goal of this program is to provide students with opportunities to elucidate the interrelationships of the spheres of the earth.

Students will acquire practical experience and advanced skills in the following courses:

Advanced Research in Solid-Earth Geochemistry - determines the structure of the earth and its crust.

Advanced Research in Fluid Earth Science - investigates interaction in the earth system, including atmosphere and hydrosphere.

Advanced Research in Earth Environment Science - studies the global environment.

#### Division of Mathematical Sciences

##### The first stage of the doctoral program

Study of the fundamental aspects of mathematics (algebra，geometry，analysis，probability and mathematical statistics)

The goal of this program is to provide students with a comprehensive understanding of fundamental concepts of mathematics.

Students will learn how to approach and solve mathematical problems, including algebra, algebraic geometry, singularity theory, topology, analysis, probability theory, ergodic theory and chaology.

##### The second stage of the doctoral program

The goal of this program is to provide students with opportunities to develop mathematical sciences in relationship to computer science and earth science.

Students will acquire skills in the advanced study of mathematics in the following courses:

Advanced Research in Algebra - studies links between singularity theory, algebraic geometry, commutative ring theory and geometry of convex polyhedron.

Advanced Research in Geometry - studies links between topology, knot theory, and geometry of real singularity

Advanced Research in Analytical Sciences - studies links between ergodic theory, fractals, dynamical system, and economic phenomena.

The goal of this program is to provide students with the necessary background to take and pass the actuary examination.

Based on knowledge of probability theory and mathematical statistics, students will gain practical knowledge and skills of the following:

- Life insurance mathematics, pension mathematics, and Non-life insurance mathematics
- Mathematical finance and stock data analysis

This program also provides students with opportunities to analyze the pension system from the point of view of social security.

#### Division of Computer Science

##### The first stage of the doctoral program

Research on information science，software science, and their applications

The goal of this program is to provide students with extensive knowledge and understanding of information science and software science, and to help students understand application of software science to the analysis of natural and social phenomena.

Students will conduct research in the following fields: Theory of algorithms, Information theory, graph theory, knot theory, software, Intelligent Information System.

##### The second stage of the doctoral program

Advanced Research in Computer Science - develops methods of data processing and logical classification of information by strictly defining the model of data processing

Advanced Research in Mathematical Information Science - models natural and social phenomena based on system analysis.

Advanced Research in Software Science - characterizes variety of information with variety of methods.