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課程名稱 |
古典力學
Classical Mechanics |
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開課學期 |
109-1 |
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授課對象 |
理學院 物理學研究所 |
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授課教師 |
曾詣涵 |
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課號 |
Phys7019 |
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課程識別碼 |
222 M1940 |
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班次 |
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學分 |
4.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期一8,9(15:30~17:20)星期三8,9(15:30~17:20) |
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上課地點 |
新物112新物112 |
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備註 |
總人數上限：90人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1091Phys7019_ |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
This course discusses the more advanced aspects of some of the topics covered in intermediate Mechanics one learns in a regular undergraduate physics curriculum. |
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課程目標 |
Starting from Lagrange equations, discuss central force problems, rotation of rigid bodies, small oscillations. Develop canonical transformations via Hamiltonian equations and obtain the Action-angle variables from that Connect quantum mechanics from classical mechanics. Learn some techniques from special relativity in dealing with two-body scattering. Finally a brief introduction to classical field theory. |
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課程要求 |
Basic skills on differential equations, matrices, solving eigenvalues |
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預期每週課後學習時數 |
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Office Hours |
每週三 10:00~11:00 備註： 助教 蔡松翰 每周三 10:00 -- 11:00 |
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指定閱讀 |
" Classical Mechanics" by H. Goldstein, C.P. Poole, JR. J.L. Safko, 3rd Edi.
(Can Be purchased from Tsanghai(滄海) Book Company, 04-2708-8787) |
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參考書目 |
"Mechanics" by L.D. Landau and E.M.Lifshitz |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
open book quizzes |
34% |
Two before and another two after the Midterm examination |
2. |
Mid-term examination |
33% |
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3. |
Final examination |
33% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/14,9/16 |
Chp.1 Survey of the Elementary Principles
; Chp.2 Variational Principles and Lagrange's Equations |
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第2週 |
9/21,9/23 |
Chp.2 Variational Principles and Lagrange's Equations |
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第3週 |
9/28,9/30 |
Chp.2 Variational Principles and Lagrange's Equations; Chp.3 The Two-body Central Force Problems |
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第4週 |
10/05,10/07 |
Chp.3 The Two-body Central Force Problems; Quiz 1 |
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第5週 |
10/12,10/14 |
Chp.3 The Two-body Central Force Problems;Chp.4 Rigid Body (Chps. 4,5 of Text) |
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第6週 |
10/19,10/21 |
Chp.4 Rigid Body (Chps. 4,5 of Text) |
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第7週 |
10/26,10/28 |
Chp.4 Rigid Body (Chps. 4,5 of Text); Quiz 2 |
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第8週 |
11/02,11/04 |
Chp.4 Rigid Body (Chps. 4,5 of Text); Chp.5 Oscillations (Chp. 6 of Text) |
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第9週 |
11/09,11/11 |
Chp.5 Oscillations (Chp. 6 of Text) ; MIDTERM EXAMINATION |
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第10週 |
11/16,11/18 |
Chp.5 Oscillations (Chp. 6 of Text); Chp.6 The Hamilton Equations of Motion (Chp. 8 of Text) |
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第11週 |
11/23,11/25 |
Chp.6 The Hamilton Equations of Motion (Chp. 8 of Text); Chp.7 Canonical Transformation (Chp. 9 of Text) |
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第12週 |
11/30,12/02 |
Chp.7 Canonical Transformation (Chp. 9 of Text); Quiz 3 |
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第13週 |
12/07,12/09 |
Chp.7 Canonical Transformation (Chp. 9 of Text);Chp.8 Hamilton-Jacobi Theory (Chp. 10 of Text) |
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第14週 |
12/14,12/16 |
Chp.8 Hamilton-Jacobi Theory (Chp. 10 of Text) |
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第15週 |
12/21,12/23 |
Chp.8 Hamilton-Jacobi Theory (Chp. 10 of Text);Chp.9 Relativistic Dynamics (Chp.7 of Text) ; Quiz 4 |
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第16週 |
12/28,12/30 |
Chp.9 Relativistic Dynamics (Chp.7 of Text) |
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第17週 |
1/04,1/06 |
EM fields and Introduction to field theory (Chp. 13 of Text) |
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第18週 |
1/13 |
Final Examinatiom (The above syllabus may be varied from time to time) |
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