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課程名稱 |
應用數學四
Applied Mathematics (Ⅳ) |
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開課學期 |
103-1 |
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授課對象 |
理學院 物理學系 |
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授課教師 |
陳恆榆 |
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課號 |
Phys3002 |
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課程識別碼 |
202 30340 |
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班次 |
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學分 |
3 |
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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 |
星期三2,3,4(9:10~12:10) |
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上課地點 |
新物112 |
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備註 |
本課程中文授課,使用英文教科書。
限本系所學生(含輔系、雙修生)
總人數上限：80人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1031Phys3002_ |
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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 |
Eigenvalue Problems, Special Functions and Orthogonal Polynomials, Boundary value problems and Partial Differential Equations, Variational Methods, Introduction to Group Theory.
The aim of the course is to introduce basic tools of theoretical physics to students.
There will be Mid-Term, Final and a number of homework assignments, precise weighting to be decided. |
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課程目標 |
Part 1: Introduction to Special Functions
a. Eigenvalue/Sturm-Liouville Problems.
b. Special Functions, their generating functions
and various properties such as orthogonality and recurrence relation.
Part 2: Partial Differential Equations.
a. Separation of Variables
b. Green's Function, Boundary valued problems.
c. Integral Transforms.
Part 3: Introduction to Group Theory.
a. Conservation Law and Symmetries in Physics.
b. Lie Algebra, Lie groups and their representations
c. Generators; SU(2), SU(3), Young Diagrams.
d. Lorentz group and its representations.
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課程要求 |
Knowledge of Applied Mathematics III is Highly Desirable. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
There is no designated textbook for this course, but students are strongly encouraged to look up standard textbooks or lecture notes relevant to the topics covered in the course. |
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參考書目 |
The Course will be based on Lecture Notes to be uploaded onto Ceiba. |
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評量方式
(僅供參考) |
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