Department of Physics and Mathematics

The Department of Physics and Mathematics provides quality education in a wide range of disciplines, ranging from applied physics and its technology-related fields to pure mathematics. A wide variety of career opportunities can be found for graduates of physics and mathematics degree programs who benefit from the quantitative and analytical skills of mathematics and from an understanding of the fundamental law of nature behind science and technology.

Physics research areas of particular strength at Aoyama Gakuin University include condensed matter physics and astrophysics. Numerous novel superconducting materials such as MgB2 and the exotic ladder materials have been found by Professor J. Akimitsu and his group remains the leader in the field. Our campus is located near the Institute of Space and Astronautical Science (ISAS) of Japan Aerospace Exploration Agency (JAXA). World class astrophysicists at the department, Professors, A. Yoshida, A. Bamba and R. Yamazaki, emphasize close collaboration between theory and experiment, and explore an extensive variety of high-energy astrophysical phenomena, involving black holes, neutron stars, gamma-ray bursts and origin of cosmic rays and promote various space missions such as MAXI, Astro-H and CALET in international collaborations. The other strength of the department is also covering interdisciplinary physics research areas such as biophysics and atomic physics that relate to wide range of sciences.

Research topics in mathematics cover the entire field of the subject including theory of nonlinear systems, topology, representation theory and theory of special functions. Professors J. Satsuma and T. Masuda investigate nonlinear integrable systems such as soliton equations, Painlev'e equations and ultra-discrete systems, aiming to explain a variety of mathematical and physical phenomena. Topology is a powerful tool to analyze dynamical systems, which often exhibit complicated phenomena such as chaos, fractal and complex system. Professor Nakayama is one of the leading mathematicians in this field. Representation theory is used crucially in the field of differential equations, geometry, combinatorics and spectral analysis, which has been studied by Professors Nishiyama and Taniguchi.

Our undergraduate curriculum in Physics and Mathematics provides the student with a base of fundamental science and mathematics as well as specialization through a broad selection of technical electives. By taking advantage of joining mathematics and physics into a single department, students are able to seek teacher certification for middle and high school either Mathematics or Physics with extra specific requirements for teacher education.

From the first year to the second year, students take Seminars and Laboratory subjects, including computer programming in small groups as well substantial coursework including both physics and mathematics core curriculums shown in the table below.

In the third year, students are required to select one course from Mathematics Course, Physics Course and Applied Physics Course to complete the degree. Each focused course offers its specialized elective requirements designed for students to assist in their positive career explorations and to prepare for Senior Thesis Research during their senior year. The Senior Thesis Research is a physics or mathematics research project carried out under the guidance of a faculty member and the advanced research experience provides a great opportunity for students to discover their individual talents and to demonstrate practical skills and knowledge.

Campus of Attendance

First to Fourth Year :

Curriculum

Lists lecture subjects (mandatory and required electives)

Required Credits for Graduation / 140 Credits

Lecture Subjects

Course Subjects
Required Courses 1st year
  • Fundamental Physics A,B
  • Fundamental Mathematical Physics
  • Analysis IA,lB
  • Linear Algebra IA,lB
Required Electives 2nd year
[Physics Core]
  • Fundamental Physics C,D
  • Mechanics
  • Electromagnetism
  • Quantum Mechanics A

[Mathematics Core]
  • Analysis ll
  • Linear Algebra ll
  • Differential Equations I
  • Geometry I
  • Fourier Analysis
  • Linear Algebra lll

3rd year
[Physics Core]
  • Statistical Mechanics A
  • Relativity

[Mathematics Core]
  • Applied Probability Theory and Statistics and Error Analysis
  • Numerical Analysis
  • Differential Equations ll
  • Complex Analysis I

[Physics Course]
  • Quantum Mechanics B, C
  • Statistical Mechanics B
  • Solid State Physics A, B
  • Introduction to Condensed Matter Physics
  • High Energy Physics I, II
  • Introduction to Astrophysics and Space
  • Astrophysics
  • Dynamics of Deformable Bodies and Fluids
  • Fundamentals of Electronic Circuits
  • Biophysics
  • Biological Science B
  • Algebra II
  • Complex Analysis II

[Applied Physics Course]
  • Solid State Physics A, B
  • Introduction to Condensed Matter Physics
  • Dynamics of Deformable Bodies and Fluids
  • Fundamentals of Electronic Circuits
  • Biophysics
  • Biological Science B
  • Applied Electromagnetism
  • Material Science and Nanotechnology

[Mathematics Course]
  • Quantum Mechanics B, C
  • Statistical Mechanics B
  • Astrophysics
  • Probability Theory and Statistics
  • Geometry II
  • Dynamics of Deformable Bodies and Fluids
  • Algebra I, II
  • Complex Analysis II
  • Set Theory and General Topology


4th year
[Physics Course]
  • Philosophy of Science
  • Quantum Chemistry I, II
  • Analysis III

[Applied Physics Course]
  • Philosophy of Science
  • Computer and Digital Systems I, II
  • Quantum Electronic Devices
  • Semiconductor Devices
  • Theory of Electrical Engineering Materials II
  • Magnetics
  • High Voltage Engineering
  • Integrated Circuit Engineering

[Mathematics Course]
  • Geometry III
  • Analysis III, IV
  • Algebra III

The Aoyama Standard Subjects

1st - 4th year :

School-wide universal education system where experts in wide-ranging academic fields transcending the framework of colleges/schools and departments stimulate interest in learning and provide guidance.

The Aoyama Standard

Foreign Language Subjects

[ 1st Foreign Language ] 1st year :

English Reading (I), English Composition (I), 2nd year: English Comprehensive Exercise, English Reading (II), English Communication (I), 3rd year: English Reading (III), English Communication (II)

Free Elective Subjects

1st - 4th year :

Students can freely select from departmental subjects, Aoyama Standard Subjects, Foreign Language Subjects (take at least minimum credits required), subjects of other departments in the College of Science and Engineering, as well as subjects offered by other colleges.

Faculty