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課程名稱 |
工程數學1
Engineering Mathematics 1 |
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開課學期 |
110-1 |
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授課對象 |
土木工程學系 |
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授課教師 |
詹益齊 |
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課號 |
CIE1015 |
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課程識別碼 |
501 12010 |
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班次 |
01 |
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學分 |
2.0 |
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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 |
星期四3,4,5(10:20~13:10) |
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上課地點 |
普302 |
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備註 |
四5為助教時間。
限學士班一年級
總人數上限：40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 |
(1) Vectors and Vectors Spaces
(2) Matrices and Systems of Linear Equations
(3) Eigenvalues, Eigenvectors, and Diagonalization
(4) Fourier series
(5) Fourier integrals and the Fourier Transform
(6) Vector Differential Calculus
(7) Vector Integral Calculus |
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課程目標 |
The goal of this course is to give you the tools needed to understand and solve engineering problems, civil engineering related problems in particular. |
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課程要求 |
待補 |
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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 |
(1) Jeffrey, Advanced Engineering Mathematics, Harcourt/Academic Press, 2002.
(2) Reley, Hobson, and Bence, Mathematical Methods for Physics and
Engineering, Combridge University Press, 1998.
(3) Greenberg, Advanced Engineering Mathematics, Second Edition, Prentice
Hall, 1998.
(4) Kaplan, Advanced Mathematics for Engineers, Addison-Wesley, 1981.
(5) Grossman, Advanced Engineering Mathematics, Harper & Row, 1988. |
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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 01 |
09/17 |
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Week 02 |
09/24 |
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Week 03 |
10/01 |
Holiday: Mid-Autumn Festival |
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Week 04 |
10/08 |
(1) Course introduction
(2) 7.1 (... p.258, Main diagonal)
(ATT: 23/31) |
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Week 05 |
10/15 |
7.2 (... p.271, Problem 30)
(ATT: 28/31) |
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Week 06 |
10/22 |
7.2 - 7.4 (... p.282, Basic concepts)
(ATT: 25/31) |
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Week 07 |
10/29 |
7.4 (... p.284, Column rank)
(ATT: 23/31) |
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Week 08 |
11/05 |
1. Invitation to midterm survey
2. 7.4 - 7.7 (... p.295, Properties of determinants)
(ATT: 25/31) |
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Week 09 |
11/12 |
(Midterm examination week)
1. Invitation to midterm survey
2. 7.7 - 7.8 (... - p.302, Finding the inverse matrix)
(ATT: 23/31) |
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Week 10 |
11/19 |
1. Midterm survey result
2. 7.8 - 7.9 (... p.312, Real inner product space)
(ATT: 24/31) |
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Week 11 |
11/26 |
7.9
(ATT: 22/31)
(At-home exam 1: 18:00 - 20:00, Nov. 30) |
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Week 12 |
12/03 |
8.1 (... p.329, Problem 24)
(ATT: ---, 12+2?/31) |
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Week 13 |
12/10 |
8.1 - 8.3 (... p.335, Real symmetric matrix)
(ATT: 21/31) |
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Week 14 |
12/17 |
8.3 - 8.4 (... p.340, Matrix similarity)
(ATT: 23/31) |
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Week 15 |
12/24 |
1. Invitation to course evaluation survey
2. 8.4 (... p.341, Spectral theorem)
(ATT: 21/31) |
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Week 16 |
12/31 |
1. Invitation to course evaluation survey
2. 8.4
3. 8.5 (... p.347, Special complex matrices)
(ATT: 20/31) |
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Week 17 |
01/07 |
1. Invitation to course evaluation survey
2. 8.5
(ATT: 18/31)
(At-home exam 2: 18:00 - 20:00, Jan. 11) |
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Week 18 |
01/14 |
(Final examination week)
1. Single value decomposition (SVD)
2. Review
3. Final exam: CERB 402, 17:30 - 19:10, Jan. 15
(ATT:) |
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