查詢教學大綱與進度

教學大綱與進度

課程基本資料：

學年期課號課程名稱階段學分時數修教師班級人撤備註

102-1 185267 應用工程數學 1 3.0 3 ▲ 陳榮泰職二電三 42 0 　

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
102-1	185267	應用工程數學	1	3.0	3	▲	陳榮泰	職二電三	42	0

教學大綱與進度：

教師姓名陳榮泰

Email 　

最後更新時間 2013-08-10 06:16:10

課程大綱矩陣及線性方程式，行列式，向量空間，基底，線性轉換，正交空間，傅立葉轉換，傅立葉積分。

課程進度 Week 1-2 1. Linear Equations 1.1 Introduction to Linear Systems 1.2 Matrices, Vectors, and Gauss-Jordan Elimination 1.3 On the Solutions of Linear Systems; Matrix Algebra Week 3-4 2. Linear Transformations 2.1 Introduction to Linear Transformations and Their Inverses 2.2 Linear Transformations in Geometry 2.3 Matrix Products 2.4 The Inverse of a Linear Transformation Week 5-6 3. Subspaces of R" and Their Dimensions 3.1 Image and Kernel of a Linear Transformation 3.2 Subspace of R"; Bases and Linear Independence 3.3 The Dimension of a Subspace of R" 3.4 Coordinates Week 7-8 4. Linear Spaces 4.1 Introduction to Linear Spaces 4.2 Linear Transformations and Isomorphisms 4.3 The Matrix of a Linear Transformation Week 9 Midterm Week 10-11 5. Orthogonality and Least Squares 5.1 Orthogonal Projections and Orthonormal Bases 5.2 Gram-Schmidt Process and QR Factorization 5.3 Orthogonal Transformations and Orthogonal Matrices 5.4 Least Squares and Data Fitting 5.5 Inner Product Spaces Week 12 6. Determinants 6.1 Introduction to Determinants 6.2 Properties of the Determinant 6.3 Geometrical Interpretations of the Determinant; Cramer's Rule Week 13 7. Eigenvalues and Eigenvectors 7.1 Dynamical Systems and Eigenvectors: An Introductory Example 7.2 Finding the Eigenvalues of a Matrix 7.3 Finding the Eigenvectors of a Matrix 7.4 Diagonalization 7.5 Complex Eigenvalues 7.6 Stability Week 14 8. Symmetric Matrices and Quadratic Forms 8.1 Symmetric Matrices 8.2 Quadratic Forms 8.3 Singular Values Week 15 9. Linear Differential Equations 9.1 An Introduction to Continuous Dynamical Systems 9.2 The Complex Case: Euler's Formula 9.3 Linear Differential Operators and Linear Differential Equations Week 16-17 10. Fourier Series and Transform 10.1 Contnuous-time and Discrete-time Fourier Series 10.2 Contnuous-time and Discrete-time Fourier Transform 10.3 Inverse Fourier Transform 10.4 Convolution Property 10.5 Parseval Relations Week 18 Final exam.

評量方式與標準 Midterm期中考30% Final期末考30% Hours Exam.平時成績40%(作業及出席)

使用教材、參考書目或其他 【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】

使用外文原文書：　
Linear Algebra With Applications, 4/E, Otto Bretscher, PE, 2009.

課程諮詢管道

備註

教師姓名	陳榮泰
Email
最後更新時間	2013-08-10 06:16:10
課程大綱	矩陣及線性方程式，行列式，向量空間，基底，線性轉換，正交空間，傅立葉轉換，傅立葉積分。
課程進度	Week 1-2 1. Linear Equations 1.1 Introduction to Linear Systems 1.2 Matrices, Vectors, and Gauss-Jordan Elimination 1.3 On the Solutions of Linear Systems; Matrix Algebra Week 3-4 2. Linear Transformations 2.1 Introduction to Linear Transformations and Their Inverses 2.2 Linear Transformations in Geometry 2.3 Matrix Products 2.4 The Inverse of a Linear Transformation Week 5-6 3. Subspaces of R" and Their Dimensions 3.1 Image and Kernel of a Linear Transformation 3.2 Subspace of R"; Bases and Linear Independence 3.3 The Dimension of a Subspace of R" 3.4 Coordinates Week 7-8 4. Linear Spaces 4.1 Introduction to Linear Spaces 4.2 Linear Transformations and Isomorphisms 4.3 The Matrix of a Linear Transformation Week 9 Midterm Week 10-11 5. Orthogonality and Least Squares 5.1 Orthogonal Projections and Orthonormal Bases 5.2 Gram-Schmidt Process and QR Factorization 5.3 Orthogonal Transformations and Orthogonal Matrices 5.4 Least Squares and Data Fitting 5.5 Inner Product Spaces Week 12 6. Determinants 6.1 Introduction to Determinants 6.2 Properties of the Determinant 6.3 Geometrical Interpretations of the Determinant; Cramer's Rule Week 13 7. Eigenvalues and Eigenvectors 7.1 Dynamical Systems and Eigenvectors: An Introductory Example 7.2 Finding the Eigenvalues of a Matrix 7.3 Finding the Eigenvectors of a Matrix 7.4 Diagonalization 7.5 Complex Eigenvalues 7.6 Stability Week 14 8. Symmetric Matrices and Quadratic Forms 8.1 Symmetric Matrices 8.2 Quadratic Forms 8.3 Singular Values Week 15 9. Linear Differential Equations 9.1 An Introduction to Continuous Dynamical Systems 9.2 The Complex Case: Euler's Formula 9.3 Linear Differential Operators and Linear Differential Equations Week 16-17 10. Fourier Series and Transform 10.1 Contnuous-time and Discrete-time Fourier Series 10.2 Contnuous-time and Discrete-time Fourier Transform 10.3 Inverse Fourier Transform 10.4 Convolution Property 10.5 Parseval Relations Week 18 Final exam.
評量方式與標準	Midterm期中考30% Final期末考30% Hours Exam.平時成績40%(作業及出席)
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】使用外文原文書：　 Linear Algebra With Applications, 4/E, Otto Bretscher, PE, 2009.
課程諮詢管道
備註