一、課程說明(Course Desc<x>ription)
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<br>1. Purpose:
<br>Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. The concepts of linear algebra are extremely useful in engineering, physics, economics and social sciences, and natural sciences. In this class, we hope to build a solid foundation of elementary linear algebra for students. Various applications of linear algebra in different areas will also be addressed.
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<br>2. Course Outline:
<br>(1) Vectors and Matrices
<br>(2) Solving Linear Equations
<br>(3) Vector Spaces and Subspaces
<br>(4) Orthogonality
<br>(5) Determinants
<br>(6) Eigenvalues and Eigenvectors
<br>(7) Linear Transformations
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<br>3. Prerequisite: Calculus
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<br>二、指定用書(Text Books)
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<br>G. Strang, Introduction to Linear Algebra, International Edition. Wellesley, MA, Wellesley-Cambridge Press, 2019.
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<br>三、參考書籍(References)
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<br>1. S. Friedberg, A. Insel, and L. Spence, Linear Algebra, 5th Edition. Pearson, 2019.
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<br>2. S. J. Leon, Linear Algebra with Applications, 9th Edition. Pearson, 2015.
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<br>四、教學方式(Teaching Method)
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<br>Lecture.
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<br>五、教學進度(Syllabus)
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<br>(1) Vectors and Matrices
<br>(2) Solving Linear Equations
<br>(3) Vector Spaces and Subspaces
<br>(4) Orthogonality
<br>(5) Determinants
<br>(6) Eigenvalues and Eigenvectors
<br>(7) Linear Transformations
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<br>六、成績考核(Evaluation)
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<br>Midterm I: 25%; Midterm II: 25%; Final: 30%; Homework: 20%.
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<br>七、可連結之網頁位址
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