| Course title | |||||
| 応用力学 [Advanced Mechanics] | |||||
| Course category | common courses | Requirement | Credit | 2 | |
| Department | Year | ～ | Semester | 3rd | |
| Course type | 3rd | Course code | 1060485 | ||
| Instructor(s) | |||||
| 嘉治 寿彦, 室尾 和之 [KAJI Toshihiko, MUROO Kazuyuki] | |||||
| Facility affiliation | Faculty of Engineering | Office | afjgxte/L1151 | Email address | |
| Course description |
| Analytical mechanics is a generalized form of classical mechanics. As a subject in the curriculum of applied physics, in the first half of this course, students will learn Lagrangian mechanics, starting from calculus of variations. In the last half, students will learn dynamical system especially focused on oscillations in non-equilibrium systems. |
| Expected Learning |
|
1. Students will be able to apply analytical mechanics to various problems in classical mechanics. 2. Students will be able to understand the fundamental concept of dynamical system. Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
Week 1: What is analytical mechanics? Calculus of variations Week 2: Brachistochrone curve, Method of Lagrange multipliers Week 3: Hamilton’s principle (Principle of least action) Week 4: Lagrangian Mechanics (Euler-Lagrange equation) Week 5: Hamiltonian mechanics Week 6: Summary of the first half Week 7: Non-equilibrium system and oscillations Week 8: Phase space and state, Oscillator under external force Week 9: Dynamical system Week 10: Stability of solutions (Linear stability analysis) Week 11: Limit cycle Week 12: Bifurcation of solutions Week 13: Oscillatory and excitable (Belousov?Zhabotinsky reaction) Week 14: Summary of the second half Week 15: Summary of this course |
| Prerequisites |
| Students are recommended to prepare for each subject, spending the standard amount of time as specified by the University and using the handouts as well as the references specified below. |
| Required Text(s) and Materials |
| References |
| Assessment/Grading |
| Report or Exam (100%). |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Ask by e-mail. |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 2/27/2020 1:47:45 PM |