課程名稱 |
應用數學一 Applied Mathematics (Ⅰ) |
開課學期 |
100-2 |
授課對象 |
理學院 物理學系 |
授課教師 |
李慶德 |
課號 |
Phys2001 |
課程識別碼 |
202 20310 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
必帶 |
上課時間 |
星期一5,6,7(12:20~15:10) |
上課地點 |
新物112 |
備註 |
限本系所學生(含輔系、雙修生) 總人數上限:80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 |
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 |
APPLIED MATH (I), 2011
INSTRUCTOR: Professor Ting-Wai Chiu
TEXTBOOK:
S. Leon, Linear Algebra with Applications, 8th edition, Pearson (2010).
THE following topics will be covered:
1. VECTOR ALGEBRA, VECTOR ANALYSIS
2. SOLVING SYSTEMS OF LINEAR EQUATIONS
3. VECTOR SPACES
(A) VECTORS
(B) INDEPENDENCE, BASIS AND DIMENSION
(C) LINEAR TRANSFORMATIONS AND THEIR RANKS
(D) LINEAR FUNCTIONALS
(E) DUAL SPACE
4. DETERMINANTS
5. EIGENVALUES AND EIGENVECTORS
6. ORTHOGONALITY
(A) INNER PRODUCT
(B) PROJECTIONS
(C) GRAM-SCHMIDT PROCESS
(D) FOURIER TRANSFORM
(E) THE PRINCIPAL-AXIS-THEOREM AND NORMAL MODES |
課程目標 |
To cover most topics in the textbook |
課程要求 |
To attend the lectures, to participate the discussions in class, and to work out the homework assignments |
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 |
TEXTBOOK:
S. Leon, Linear Algebra with Applications, 8th edition, Pearson (2010).
REFERENCE:
G. Strang, Introduction to Linear Algebra, 4th edition, Wellesley-Cambridge (2009).
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評量方式 (僅供參考) |
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