Physics

This course offers an introduction to the techniques of locating critical points in infinite-dimensional spaces in order to understand the variational formulations of mechanics in physics, including the principles of minimum action that give rise to the Euler-Lagrange equations and the Hamilton-Jacobi equation. Topics include: calculation in spaces of functions; necessary conditions; change of variables-- Hamilton-Jacobi; sufficient conditions.

This course introduces students to astrophysical and cosmological concepts. Planets, stars, and galaxies will be covered in the course together with the tools that astronomers, astrophysicists, and cosmologists use to explore them. 

Solid State Physics is a discipline that studies the structure of solids, the interaction of constituent particles and the laws of motion. It is an important part of physics research and a basic course for many disciplines.

Through the study of this course, master the basic theory of solid state physics and understand the basic physical phenomena in solid state.

This course emphasizes hands-on laboratory experience and teaches students research background, relevant theories, and basic laboratory techniques relevant to their field of study. Students formulate a research plan, implement it by conducting experiment-based research, and convey the results in scholarly presentations. Students submit a written research report at the end of the course.

This course provides research training for students through the experience of belonging to a specific laboratory at the University of Tokyo. Students carry out an original research project under the guidance of assigned faculty members. Through a full-time commitment, students will be able to improve their research skills by applying the basic principles and knowledge from the literature related to the research questions, and by developing the skills to collect, interpret, and critique data in order to resolve a research question or evaluate a design for a research project. At the conclusion of the program, students submit their final work (paper, presentation, report etc.) as instructed by their lab supervisors

This course discusses similarities of concepts and methods in finance and physics in order to enhance cross-fertilization of these fields. The course contains portfolio theory and constrained optimization, relations between stochastic differential equations, regression models, time series and forecasting. Bubbles, crashes, and path integrals in physics and finance is also part of the course.

In this course students acquire a broad knowledge base and develop analytical and critical thinking skills. Students actively participate in seminars, read assigned texts and research papers, and analyze research data. Students also discuss results obtained in their own experiments with peers and senior laboratory members.

This course offers a study of fluid dynamics with an emphasis on acoustics. Topics include: fundamentals of fluid mechanics; linear acoustic equations; traveling waves; reflection and transmission of plane waves; resonators, cavities, and waveguides; radiation; dispersion and diffraction; absorption and attenuation; measurement of acoustic parameters.

The course introduces perturbative quantum field theory and some of its applications in modern physics. Main topics include relativistic quantum mechanics, bosonic and fermionic fields, interactions in perturbation theory, Feynman diagram methods, scattering processes and particle decay, and elementary processes in quantum electrodynamics (QED).

The third course of the introductory physics series (Introduction to Physical Science, Classical Physics), this course is designed to study modern physics developed in the 20th century. The course covers special relativity and quantum physics.