Holiday
PHYS物 019 W3W4F3
Theoretical mechanics or classical mechanics is the subject that study motion, its causes and effects. It is an old subject and may easily be seen as unfashionable and uninteresting. Yet, this is entirely wrong. Theoretical mechanics is of extreme importance not just because it is a required course in the university cirriculum, but most importantly because it is the foundation of all modern physics. In fact, the language and principle of mechanics, such as coordinates, trajectory, propagation, action, perturbation, symmetries and conservation laws etc are universal and can be generalized (and they have been!) to other branches of physics such as electromagnetism, optics, thermodynamics, statistical physics, quantum mechanics and general relativity. In this course, you will get a glimpse of the beauty of modern physics through the gate of classical mechanics.
Course keywords: Theoretical mechanics, Newtonian mechanics, Hamiltonian mechanics, Lagrangian mechanics, Action principle, Hamilton-Jacobi theory. 理論力學, 牛頓力學, 哈密頓力學, 拉格朗日力學, 作用原理, 哈密頓-雅可比理 ● 課程說明(Course Description) This is the second semester of the Theoretical Mechanics course. We hope to get further glimpse of the beauty of modern physics through the gate of classical mechanics. ● 指定用書(Text Books) - Marion, Classical Dynamics of Particles and Systems, 5th edition ● 參考書籍(References) - lecture notes - Goldstein, Classical mechanics, 3rd ed - Landau, Mechanics (Course of Theoretical Physics) ● 教學方式(Teaching Method) - blackboard teaching, tutorial session, problem class ● 教學進度(Syllabus) Mechanics I: - Kinematics -- Mathematical description of motion - Newtonian Mechanics - Oscillations and Chaotic Motions - Calculus of Variations and action principle - Hamilton's principle and the Lagragian/Hamiltonian dynamics - Gravitation and Central-Force Motion Mechanics II: - Dynamics of a system of particles - Dynamics of rigid bodies - Coupled oscillations: perturbation and diagonalization - Special relativity - Hamiltonian mechanics: . Canonical transformations . Hamilton-Jacobi theory . action-angle variables . Poisson brackets and symmetries - Lagrangian and Hamiltonian formulations for continuous systems and fields ● 成績考核(Evaluation) - quiz during classtime, homework (30%) - 1 mid-term (30%), 1 final (40%) - passing mark is 60. ● 可連結之網頁位址 相關網頁(Personal Website) - google classroom
Average Percentage 65.47
Std. Deviation 18.74
物理系大學部,理學院學士班大學部優先,第3次選課起開放全校修習
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