- 教師：洪國寶 教授（理學大樓 912室）(email@example.com)
•To make the students become familiar with the basic concepts of linear algebra.
–Understand vector spaces, linear transformations
•To enhance the students' ability to reason mathematically.
–Understand abstract notions. Using and finding examples
•To make the students aware of the crucial importance of linear algebra to many fields in engineering, statistics and computer science.
–Nonliearmathematics are hard
–Linearizationsare good approximations
•Chapter 1. Systems of Linear Equations
1.1 Solving Linear Systems
1.2 Vectors and Matrices
1.3 Homogeneous Linear Systems
•Chapter 2. Vector Spaces and Transformations
2.1 Euclidean Vector Spaces
2.2 Line, Planes, and More
2.3 Linear Transformations
2.4 General Vector Spaces
•Chapter 3. Matrix Operations
3.2 Matrix Inverses
•Chapter 4. Determinants
4.1 Determinants: Introduction
4.2 Determinants: Properties and Applications
•Chapter 5. Vector Subspaces
5.1 Column, Row, and Null Spaces
5.2 Bases and Dimension
5.3 Coordinate Systems
•Chapter 6. Eigensystems
6.1 Eigenvaluesand Eigenvectors
•Chapter 7. Inner Product Vector Spaces
7.1 Inner Product Spaces
•Chapter 8. Additional Topics
8.1 HermitianMatrices and Spectral Theorem
8.2 Matrix Factorizations and Block Matrices
8.3 Iterative Methods
Homework / Quiz 25%
1. You may collaborate when solving the homework, however when writing up the solutions you must do so on your own. Handwritten only.
2. 需要作業解答者, 請至922B找助教討論.
3. 作業嚴禁抄襲, 抄襲者(無論是抄襲或被抄襲)該次作業以0分計算.
Midterm exam 30%
Final exam 30%
Class participation 15%
– By appointment
–922B AI Lab