| Course title | |||||
| 応用力学 [Advanced Mechanics] | |||||
| Course category | common courses | Requirement | Credit | 2 | |
| Department | Year | ～ | Semester | Spring | |
| Course type | Spring | Course code | 1060485 | ||
| Instructor(s) | |||||
| 村山 能宏, 室尾 和之 [MURAYAMA Yoshihiro, MUROO Kazuyuki] | |||||
| Facility affiliation | Faculty of Engineering | Office | Email address | ||
| Course description |
| Analytical mechanics is a generalized form of classical mechanics. 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. |
| Course schedule |
|
Week 1: What is analytical mechanics? Week 2: Calculus of variations Week 3: Brachistochrone curve Week 4: Method of Lagrange multipliers Week 5: Hamilton’s principle (Principle of least action) Week 6: Lagrangian Mechanics (Euler-Lagrange equation) Week 7: Hamiltonian mechanics Week 8: Non-equilibrium system and oscillations Week 9: Dynamical system Week 10: Oscillator under external force Week 11: Stability of solutions (Linear stability analysis) Week 12: Non-linear oscillator under external force Week 13: Bifurcation of solutions Week 14: Oscillatory and excitable (Belousov?Zhabotinsky reaction) Week 15: Summary of this course |
| Prerequisites |
| Required Text(s) and Materials |
| References |
| Assessment/Grading |
| Message from instructor(s) |
| Course keywords |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 4/11/2017 8:23:16 PM |