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課程名稱 |
應用數學一
Applied Mathematics (Ⅰ) |
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開課學期 |
111-2 |
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授課對象 |
理學院 物理學系 |
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授課教師 |
吳俊輝 |
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課號 |
Phys2001 |
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課程識別碼 |
202 20310 |
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班次 |
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學分 |
3.0 |
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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 |
星期二8,9,10(15:30~18:20) |
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上課地點 |
新物111 |
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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
外系人數限制：2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 |
This course provides the foundation of linear algebra and its applications. |
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課程目標 |
This is to prepare for the students majoring in physics.
Dates for lecture series I (15 lectures): 2/21, 3/7, 3/14, 3/21, 3/28
Date of mid-term exam: 4/11
Dates for lecture series II (21 lectures): 4/18, 4/25, 5/2, 5/9, 5/16, 5/23, 5/30
Date of final exam: 6/6 |
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課程要求 |
There will be a mid-term exam and a final exam following the university calendar.
Homework will not be graded but with the support from the TA.
The attendance is not required. |
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預期每週課後學習時數 |
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Office Hours |
每週三 14:00~15:00 備註： The office hours will be hosted by the TA:
姚有徽
D11222002@ntu.edu.tw
Location: 新物 815 |
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指定閱讀 |
Strang/Linear Algebra and Its Applications 4/e
Note: This book contains most of the building blocks of the course, but the course is actually more extended beyong this book to cover a more thorough foundation for physical sciences. |
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參考書目 |
1. Strang/ Introduction to Linear Algebra International Edition
2. Leon/ Linear Algebra: with Applications 10/e
3. Anton/ Elementary Linear Algebra 12/e Asia Edition
4. K. F. Riley, M. P. Hobson and S. J. Bence (2006). Mathematical Methods for Physics and Engineering, 3rd edition. Cambridge Univer- sity Press
5. G. Arfken and H. J. Weber (2005). Mathematical Methods for Physi- cists, 6th edition. Academic Press
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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. |
Mid-term exam |
50% |
The exam date follows the university calendar. |
2. |
Final exam |
50% |
The exam date is May 30, 2023. |
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週次 |
日期 |
單元主題 |
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第1-16週 |
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Linear vector spaces
Matrices
Determinants and traces
Minors, cofactors, and inverse of a matrix
Orthogonal transformation, rotations, reflections, similarity transformation, and Wronskian
Hermitian, anti-Hermitian, unitary, adjoint operator, and unitary transformation
Inner product (scalar product)
Other products of vectors and matrices
Linear equations
Diagonalisation, eigenvalues and eigenvectors
Quadratic and Hermitian forms
Stationary property of the eigenvalues |
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