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課程名稱 |
工程數學-線性代數
Engineering Mathematics-linear Algebra |
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開課學期 |
107-1 |
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授課對象 |
電機工程學系 |
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授課教師 |
蘇柏青 |
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課號 |
EE1002 |
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課程識別碼 |
901E10030 |
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班次 |
05 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期三2(9:10~10:00)星期五3,4(10:20~12:10) |
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上課地點 |
明達205明達205 |
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備註 |
本課程以英語授課。本系優先。
總人數上限：50人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071EE1002_05 |
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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 |
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課程目標 |
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課程要求 |
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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 |
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參考書目 |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
9/12,9/14 |
Introduction
(1.1) Matrices and Vectors
(1.2) Linear Combinations and Matrix-Vector Products
(1.3) Systems of Linear Equations
(Note: [2018/11/7] The file LA_Def_Thm_Final_rv2.pdf is removed and the materials therein are divided and re-posted in Week9 and Week18, respectively. ) |
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Week 2 |
9/19,9/21 |
(1.4) Gaussian Elimination
(1.6) Span of Vectors (Including concepts on sets and functions) |
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Week 3 |
9/26,9/28 |
(1.7) Linear Independence
(2.1) Matrix multiplication
(2.3) Invertibility and Elementary matrices |
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Week 4 |
10/03,10/05 |
10/03: Quiz 1
(2.4) The Inverse of a Matrix |
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Week 5 |
10/10,10/12 |
(10/10 is a holiday)
(2.7) Linear Transformations
(2.8) Composition and Invertibility of Linear Transformations |
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Week 6 |
10/17,10/19 |
(3.1) Determinants -- Cofactor expansion
(3.2) Properties of Determinants
(4.1) Subspaces |
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Week 7 |
10/24,10/26 |
10/24: Quiz 2
(4.2) Basis and Dimension
(4.3) Dimensions of subspaces associated with matrices
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Week 8 |
10/31,11/02 |
(4.4) Coordinate Systems
(4.5) Matrix representations of Linear Operators |
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Week 9 |
11/07,11/09 |
Wednesday: Some parts in Chapter 5, and a brief review of Chapters 1 to 4.
Friday Midterm Exam (Chapters 1 ~ 4) |
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Week 10 |
11/14,11/16 |
(5.1) Eigenvalues and eigenvectors (5.2) Characteristic polynomials (5.3) Diagonalization of matrices |
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Week 11 |
11/21,11/23 |
11/21: Quiz 3
(6.1) The geometry of Vectors
(6.2) Orthogonal Vectors
(6.3) Orthogonal Projections |
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Week 12 |
11/28,11/30 |
(6.3) Orthogonal Projections
(6.4) Least square approximation
(6.5) Orthogonal Matrices |
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Week 13 |
12/05,12/07 |
(6.6) Symmetric matrices |
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Week 14 |
12/12,12/14 |
(7.1) Vector Spaces
(7.2) Linear Transformations |
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Week 15 |
12/19,12/21 |
12/19: Quiz 4
(7.2) Linear Transformations |
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Week 16 |
12/26,12/28 |
(7.3) Basis and Dimension
(7.4) Matrix Representation of Linear Operators |
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Week 17 |
1/02,1/04 |
(7.5) Inner Product Spaces |
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Week 18 |
1/09,1/11 |
Final Exam |
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