Numbering Code	U-LAS12 20006 LE57	Year/Term	2022 ・ First semester
Number of Credits	2	Course Type	Lecture
Target Year	Mainly 2nd year students	Target Student	For science students
Language	English	Day/Period	Tue.3
Instructor name	PETERS,Robert (Graduate School of Science Senior Lecturer)
Outline and Purpose of the Course	Starting from Newton mechanics, we will introduce the principle of stationary action, and the Lagrangian formalism for solving problems in theoretical mechanics. Using this formalism, we will analyze different important examples, such as oscillations, central forces, and the rigid body. After that, we will introduce the Hamiltonian formalism, which is the basis for Quantum mechanics. In principle, this course is given in English. However, if there are parts that the students cannot understand in English, I can and will explain those in Japanese.
Course Goals	- to understand and be able to use the Lagrangian formalism; - to understand the basics of the Hamiltonian formulation of classical mechanics
Schedule and Contents	This course will cover the following topics: - Introduction to Lagrangian mechanics - Application of Lagrangian mechanics to more complex examples - Introduction to the Hamiltonian formalism In principle, the course will be offered as the following plan. However, there may be small changes depending on the progress. (Introduction to Lagrangian mechanics) 1. Review of Newton mechanics 2. Derivation of the Lagrangian equations 3-4. Simple applications of the Lagrangian equations 5. Lagrangian multiplier 6. Introduction to variational calculus and its application to mechanics (Complex examples) 7.-9. Coupled Oscillations 10.-12. Rigid body (Introduction to the Hamiltonian formalism) 13.-14. Hamiltonian formalism <> 15. Feedback If there is time left, we there will be an additional chapter about central forces.
Evaluation Methods and Policy	Worksheets/reports (50%) + examination (50%)
Course Requirements	Understanding of kinematics and Newton mechanics; basic knowledge of differential equations.
Study outside of Class (preparation and review)	Revision of the course by doing the work sheets
Textbooks	Textbooks/References	Besides book recommendations, I will upload lecture notes.