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課程名稱 |
工程數學一
Engineering Mathematics (Ⅰ) |
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開課學期 |
102-1 |
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授課對象 |
土木工程學系 |
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授課教師 |
郭安妮 |
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課號 |
CIE2001 |
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課程識別碼 |
501E20010 |
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班次 |
03 |
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學分 |
3 |
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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 |
星期一6,7,8(13:20~16:20) |
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上課地點 |
工綜B04 |
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備註 |
本課程以英語授課。英文授課
限本系所學生(含輔系、雙修生)
總人數上限：45人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1021cie2001 |
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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 |
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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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第1週 |
9/09 |
Introduction; Matrix & Vectors (Addition, Scalar Multiplication), Vectors in 2-D & 3-D Space, Inner and Cross Products[K 7.1, 7.2, 9.1, 9,2, 9.3] |
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第2週 |
9/16 |
Norm Vector Space, Inner Product Space, Linear Independence, Span, Subspace, Bases, Expansions, Dimensions[K 7.4, 7.9] |
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第3週 |
9/23 |
Linear System of Equations, Gauss Elimination, Rank, Solutions of Linear Systems[K7.3, 7.4, 7.5] |
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第4週 |
9/30 |
Quiz 1, Determinants, Matrix Inverse[K7.6, 7.7, 7.8] |
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第5週 |
10/07 |
Eigenvalues, Eigenvectors[K8.1, 8.2] |
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第6週 |
10/14 |
Special Matrices, Eigenbases, Diagonalization, Quadratic forms[K8.3, 8.4] |
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第7週 |
10/21 |
Complex matrices[K8.5] |
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第8週 |
10/28 |
Mid-term Examination 1 |
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第9週 |
11/04 |
Vector & Scalar Functions and Fields [K9.4] |
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第10週 |
11/11 |
Curves, Arc Length, Curvature[K9.5, 9.6] |
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第11週 |
11/18 |
Quiz 2, Gradient, Divergence, Curl[K9.7, 9.8, 9.9] |
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第12週 |
11/25 |
Double Integrals, Line Integrals, Triple Integrals[K10.1, 10.2, 10.3] |
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第13週 |
12/02 |
Mid-term Examination 2 |
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第14週 |
12/09 |
Green’s Theorem[K10.4] |
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第15週 |
12/16 |
Surface Integrals[10.5, 10.6] |
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第16週 |
12/23 |
Divergence Theorem [K10.7, 10.8] |
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第17週 |
12/30 |
Stokes’s Theorem[K10.9] |
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第18週 |
01/06 |
Final Examination |
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