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課程名稱 |
力學 Mechanics |
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開課學期 |
113-1 |
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授課對象 |
理學院 物理學系 |
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授課教師 |
梁國淦 |
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課號 |
Phys2003 |
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課程識別碼 |
202 21100 |
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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 |
必帶 |
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上課時間 |
星期一3,4(10:20~12:10)星期四3,4(10:20~12:10) |
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上課地點 |
新物111新物833 |
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備註 |
限本系所學生(含輔系、雙修生) 總人數上限:80人 |
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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 |
基礎的質點及質點系古典力學。
課程綱要如下,章節編號基於指定閱讀( Thorton and Marion 第五版):
1. Newtonian mechanics — Single particle (Ch.2)
1.1 The state of motion and the ideation of force (S.2.1)
1.2 The three laws of motion of Newton (S.2.2)
1.3 Frames of reference (S.2.3)
1.4 The equation of motion (EOM) of a particle (S.2.4)
1.5 Conserved quantities according to Newton’s laws (S.2.5)
1.6 Energy (S.2.6)
1.7 Beyond Newtonian mechanics — Relativity and quantum physics (S.2.7)
2. Brief introduction to Lagrangian and Hamiltonian dynamics (Ch.6 and 7)
2.1 Euler equations (S.6.1 ~ 5)
2.2 Constraints and generalized coordinates (S.6.6 and 7, S.7.1 ~ 3)
2.3 Lagrange’s equations (S.7.4 ~ 9)
2.4 Canonical equation of motion, Hamiltonian mechanics, and energetic point of view (S.7.10 ~ 13)
3. Classical gravitation, central force, and celestial applications (Ch.5 and 8)
3.1 Gravitational field and potential (S.5.1 ~ 3)
3.2 Usefulness of potential concept (S.5.4)
3.3 Two-body center-of-mass coordinates and reduced mass (S.8.1 - 2)
3.4 First integrals and conservation theorems in two-body systems (S.8.3)
3.5 Equations of motion (S.8.4)
3.6 Kinematics and energetics of orbits in a central field (S.8.5 - 7)
3.7 Dynamics and stability of orbits in a central field (S.8.8 - 10)
4. Dynamics of a system of particles (Ch.9)
4.1 Center of mass (S.9.1 ~ 2)
4.2 Linear momentum (S.9.3)
4.3 Angular momentum (S.9.4)
4.4 Energy of a system (S.9.5)
4.5 Collisions, elastic and inelastic (S.9.6 ~ 8)
4.6 Probability: Scattering (S.9.9 ~ 10)
4.7 Continuous case: Rocket motion (S.9.11)
5. Noninertial reference frame (Ch.10)
5.1 Rotating coordinate systems (S.10.1 ~ 2)
5.2 Centrifugal and coriolis forces (S.10.3)
5.3 Motion relative to the Earth (S.10.4)
6. Rigid bodies (Ch.11)
6.1 Planar motion and angular momentum (S.11.2 and 4)
6.2 Principal axes of inertia and different body coordinate systems (S.11.5 ~ 7)
6.3 Eulerian angles and Euler equations (S.11.8 ~ 9)
6.4 Symmetric tops (S.11.10 ~ 11)
6.5 Stability of rigid-body rotation (S.11.12)
7. Coupled oscillations (Ch.12)
7.1 Two coupled harmonic oscillators and the weak-coupling limit (S.12.1 ~ 3)
7.2 General problem of coupled oscillations (S.12.4)
7.3 Eigen-modes, normal coordinates, and molecular vibrations (S.12.5 ~ 7)
7.4 Degeneracy: three linearly-coupled plane pendula (S.12.8)
7.5 Continuous case: the loaded string
8. Special theory of relativity (Ch.13)
8.1 Lorentz transformation (S.13.3)
8.2 Relativistic Doppler effect (S.13.5)
8.3 Relativistic momentum and energy (S.13.7 ~ 8)
8.4 Lagrangian function in special relativity (S.13.10)
8.5 Relativistic kinematics (S.13.11)
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課程目標 |
嫻熟古典力學中的重要方法和問題。 |
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課程要求 |
精熟傳統的古典力學思想、問題、和技巧。 |
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預期每週課前或/與課後學習時數 |
4 hr |
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Office Hours |
另約時間 備註: 同學有空時間各異,難以排定固定面談時間。若有習題演練課無法解決的疑問則另與教授約時間。
The available time slots of students are so diverse that it is difficult to provide fixed office hours. If there are problems that cannot be solved in the Exercises course, please make appointment with the Professor for discussion. |
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指定閱讀 |
Thornton, Stephen T, and Jerry B Marion. Classical Dynamics of Particles and Systems. Fifth edition, International student edition / Stephen T. Thornton, Jerry B. Marion. Boston, MA: Brooks/Cole, Cengage Learning, 2008. |
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參考書目 |
課堂上補充 |
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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. |
期中考 |
50% |
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2. |
期末考 |
50% |
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- 本校尚無訂定 A+ 比例上限。
- 本校採用等第制評定成績,學生成績評量辦法中的百分制分數區間與單科成績對照表僅供參考,授課教師可依等第定義調整分數區間。詳見學習評量專區 (連結)。
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針對學生困難提供學生調整方式 |
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上課形式 |
提供學生彈性出席課程方式 |
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作業繳交方式 |
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考試形式 |
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其他 |
由師生雙方議定 |
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