課程名稱 |
應用數學四 Applied Mathematics (Ⅳ) |
開課學期 |
105-2 |
授課對象 |
理學院 物理學系 |
授課教師 |
細道和夫 |
課號 |
Phys3002 |
課程識別碼 |
202E30340 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期五2,3,4(9:10~12:10) |
上課地點 |
新物304 |
備註 |
本課程以英語授課。 限學士班學生 總人數上限:50人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1052Phys3002 |
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 |
課程大綱
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課程概述 |
This course provides the following basic toolds of theoretical physics:
* eigenfunction methods for differential equations
* special functions
* partial differential equations
* calculus of variations
* group theory
* representation theory |
課程目標 |
待補 |
課程要求 |
待補 |
預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
Mathematical Methods for Physics and Engineering, Third Edition
K.F. RILEY, M.P. HOBSON and S. J. BENCE, Cambridge University Press
Chapters 17, 18, 20, 21, 22, 28, 29 |
評量方式 (僅供參考) |
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週次 |
日期 |
單元主題 |
Week 1 |
2/24 |
Eigenfunction methods for differential equations (chapter 17) |
Week 2 |
3/03 |
Special functions 1 (chapter 18.1--3) |
Week 3 |
3/10 |
Special functions 2 (chapter 18.4, 8.12)
Series solutions of ordinary differential equations (chapter 16) |
Week 4 |
3/17 |
Special function 3 (chapter 18.5--7) |
Week 5 |
3/24 |
Special functions 4 (chapter 18.8--11) |
Week 6 |
3/31 |
Calculus of variations (chapter 22) |
Week 7 |
4/07 |
Partial differential equations 1 (chapter 20, 21) |
Week 8 |
4/14 |
Partial differential equation 2 |
Week 9 |
4/21 |
Mid-term exam |
Week 10 |
4/28 |
Separation of variables |
Week 11 |
5/05 |
PDE: Integral Transforms |
Week 12 |
5/12 |
PDE: Green's Function |
Week 13 |
5/19 |
Group Theory 1 |
Week 14 |
5/26 |
Group Theory 2 |
Week 15 |
6/02 |
Group Theory 3 |
Week 16 |
6/09 |
Group Theory 4 |
Week 17 |
6/16 |
Summary |
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