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
101-2
173235
線性代數
1
3.0
3
▲
楊士萱
四資一
62
6
教學大綱與進度:
教師姓名
楊士萱
Email
shyang@ntut.edu.tw
最後更新時間
2013-02-18 09:55:00
課程大綱
線性代數為科學與工程的基礎數學工具,本課程教授線性代數的基本概念與運算技巧。課程大綱如下: 1.線性聯立方程組 2.矩陣 3.向量空間 4.特徵值及特徵向量 5.正交性與最小平方
課程進度
Syllabus: (The number in parentheses indicates the estimated teaching hours.) (12) 1. Linear Equations - To understand the basic terminologies and notations of matrices and systems of linear equations, in the forms of vector equation and matrix equation. - Solving a system of linear equations with the Gaussian elimination: reducing a matrix to its echelon form. - To interpret a system of linear equations in various ways. - First exposure to key concepts such as linear independence and linear transformation. (8) 2. Matrix Algebra - To learn basic matrix arithmetic operations: addition, subtraction, multiplication power, transpose, and inverse. - To summarize the concepts for systems of n linear equations in n unknowns. (12) 3. Vector Spaces - Introduction to vector spaces. - Fundamental subspaces of a matrix: column space, row space, and null space. - Basis and dimension of a vector space. (8) 4. Eigenvalues and Eigenvectors - To find the eigenvalues and eigenvectors of a matrix. - Diagonalization of a matrix (linear transformation). - To view eigenbases in the context of simplifying (decorrelating) linear transformations. (8) 5. Orthogonality and Inner-Product Spaces - To introduce inner product of vectors, and thus the geometric concepts of length, distance, and angle (perpendicularity). - To be familiar with the use of orthogonal bases. - Least-Squares approximation.
評量方式與標準
1. Attendence and in-class recitations, 8% (extra). 2. Written homeworks, 15%. Please do not plagiarize others’work. 3. Four Matlab homeworks, 5%. 4. Two 50-minute quizzes, 15% each. 5. Midterm exam and final exam, 25% each.
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:
Textbook: Linear Algebra and Its Applications by David C. Lay, Fourth Edition, Addison Wesley Inc., 2012. (偉明書局代理) References: 1. Elementary Linear Algebra by Howard Anton, John Wiley & Sons, Inc. 2. Linear Algebra and Its Applications by Gilbert Strang, Fourth Edition, Thomson, 2006.
課程諮詢管道
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