課程資訊
課程名稱
 工程數學一
Engineering Mathematics (Ⅰ) 
開課學期
 100-2 
授課對象
 工學院  土木工程學系  
授課教師
 郭安妮  
課號
 CIE2001 
課程識別碼
 501E20010 
班次
  
學分
 3 
全/半年
 半年 
必/選修
 必修 
上課時間
 星期五2,3,4(9:10~12:10) 
上課地點
 綜102 
備註
 本課程以英語授課。
限本系所學生(含輔系、雙修生)
總人數上限：50人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/1002engrmath 
課程簡介影片
 
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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
 

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. 
課程要求
  
預期每週課後學習時數
  
Office Hours
  
指定閱讀
  
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.
 
評量方式
(僅供參考)
    
課程進度
週次
日期
單元主題
Week 1
 2/24  Introduction; Matrix & Vectors (Addition, Multiplication); Determinants [K 7.1, 7.2, 7.6, 7.7] 
Week 2
 3/02  Vectors in 2-D & 3-D Space, Inner and Cross Products, Norm Vector Space, Inner Product Space, Linear Independence, Span, Subspace, Bases, Expansions, Dimensions [K 7.9, 9.1, 9,2, 9.3] 
Week 3
 3/09  Best Approximation, Linear System of Equations, Gauss Elimination, Rank, Solutions of Linear Systems [K 7.3, 7.4, 7.5] 
Week 4
 3/16  Quiz 1, Inverse [K 7.8] 
Week 5
 3/23  Eigenvalues, Eigenvectors [K 8.1, 8.2] 
Week 6
 3/30  Mid-term Examination 1 
Week 7
 4/06  School Holiday 
Week 8
 4/13  Special Matrices (e.g. symmetric, skew-symmetric, orthogonal); Eigenbases, diagonalization, quadratic forms [K 8.3, 8.4]  
Week 9
 4/20  Complex matrices, Vector & Scalar Functions and Fields [K 8.5, 9.4] 
Week 10
 4/27  Quiz 2, Curves, Arc Length, Curvature [K 9.5, 9.6] 
Week 11
 5/04  Gradient, Divergence, Curl [K 9.7, 9.8, 9.9] 
Week 12
 5/11  Mid-term Examination 2 
Week 13
 5/18  Double Integrals, Line Integrals, Triple Integrals [K 10.1, 10.2, 10.3] 
Week 14
 5/25  Green’s Theorem [K 10.4] 
Week 15
 6/01  Surface Integrals [K 10.5, 10.6] 
Week 16
 6/08  Quiz 3, Divergence Theorem [K 10.7, 10.8] 
Week 17
 6/15  Stokes’s Theorem [K 10.9] 
Week 18
 6/22  Final Examination