Nagoya University, School of Engineering Lecture information system (SYLLABUS)

Analytical Mechanics I(2.0 credits)

Course Type:Basic Specialized Courses
Class Format:Lecture
Course Name : Chemistry Fundamental and Applied Physics
Starts 1 : 2 Autumn Semester 2 Autumn Semester
Elective/Compulsory : Elective Compulsory
Lecturer : SHIGEMORI Masaki Designated Professor 

•Course Purpose
This is the first of two courses in analytical mechanics. Analytical mechanics abstracts from Newtonian mechanics and generalizes it to a versatile framework that can be applied to various areas of physics, such as quantum mechanics, statistical mechanics, and relativity. After a survey of elementary principles, we discuss the core concepts of Lagrangian and Hamiltonian mechanics, with special emphasis on symmetry principles, followed by some explicit examples.
A student who successfully completes this course will be able to:

- Understand the notions and procedures of the calculus of variations

- Write down the Lagrangian of a mechanical system in terms of generalized coordinates and describe its motion using the Euler-Lagrange equations

- Understand the relation between symmetries and conservation laws and write down the associated conserved quantities

- Describe the motion of mechanical systems using Hamiltonians

- Describe motion in central force problem using effective potential

•Prerequisite Subjects
Calculus I & II, Fundamentals of Physics I &II, and concurrent registration of Mathematical Physics I & II

•Course Topics
1. Survey of elementary principles
2. Variational principles and Lagrangian mechanics
3. Symmetries and conservation laws
4. Hamiltonian mechanics
5. Central force problem

It is desirable to read a textbook or reference materials before a class

H. Goldstein, C. Poole and J. Safko, "Classical Mechanics", Pearson; 3rd edition (2013), ISBN-10: 1292026553,
ISBN-13: 978-1292026558

•Additional Reading
L. D. Landau and E. M. Lifschitz, "Mechanics: Volume 1 (Course of Theoretical Physics)", Butterworth-Heinemann; 3rd
edition (1976), ISBN-10: 0750628960, ISBN-13: 978-0750628969.
L. N. Hand and J. D. Finch, "Analytical Mechanics", Cambridge University Press (1999), ISBN-10: 0521575729,
ISBN-13: 978-0521575720.

•Grade Assessment
Attendance/Quizzes 10%, homework 30%, midterm 30%, final exam 30%

The “Absent” grade is reserved for students who withdraw by the deadline. After that day, a letter grade will be given based on the assessment during the semester.

Hybrid or online only (will use Zoom or Teams)

•Contacting Faculty
Join and check the NUCT website for Analytical Mechanics (AM1) for announcements.


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