課程名稱 |
應用數學四 Applied Mathematics (Ⅳ) |
開課學期 |
104-2 |
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 |
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/1042Phys3002 |
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 |
待補 |
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 |
2/26 |
eigenfunction methods for differential equations (chapter 17) |
Week 2 |
3/04 |
special functions (chapter 18-1,2,3) |
Week 3 |
3/11 |
special functions (chapter 18-4, 18-12, 16) |
Week 4 |
3/18 |
special functions (chapter 18-5,6,7) |
Week 5 |
3/25 |
special functions (chapter 18-8,9,10,11) |
Week 6 |
4/01 |
reading week (off) |
Week 7 |
4/08 |
partial differential equations (chapter 20-1,2,3,4) |
Week 8 |
4/15 |
partial differential equations (chapter 20-6,7, 21-1,2) |
Week 9 |
4/22 |
mid-term exam |
Week 10 |
4/29 |
partial differential equations (chapter 21-3) |
Week 11 |
5/06 |
partial differential equations (chapter 21-4,5) |
Week 12 |
5/13 |
calculus of variations (chapter 22-1,2,3,4,5,6) |
Week 13 |
5/20 |
group theory (chapter 28) |
Week 14 |
5/27 |
group representation theory (chapter 29) |
Week 15 |
6/03 |
Lie groups and Lie algebras |
Week 16 |
6/10 |
long weekend (off) |
Week 17 |
6/17 |
Lie groups and Lie algebras, continued |
Week 18 |
6/24 |
final exam |
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