## 基本素養 Basic Literacy

Ethic & Social Responsibility
Undergraduate students should demonstrate ethical awareness in learning and in social networking

Global Awareness
Undergraduate students should possess a global perspective and an awareness of the effects of globalization

## 核心能力 Competence

Oral Communication/ Speaking
Undergraduate students should be able to communicate effectively in speaking.

Written Communication/Writing
Undergraduate students should be able to communicate effectively in writing.

Creativity and Innovation
Undergraduate students should be able to solve strategic problems with creative and innovative approaches

Problem Solving
Undergraduate students should be able to solve strategic problems with creative and innovative approaches

Analytical & Computational Skills
Undergraduate students should be able to solve strategic problems with creative and innovative approaches

Values, Skills & Professionalism
Undergraduate students should acquire the skills and values required of a true professional

Technical Skills
Undergraduate students should acquire the skills and values required of a true professional

Management Skills
Undergraduate students should acquire the skills and values required of a true professional

## 課程概述 Course Description

An introduction to linear algebra and its applications.

• 學習矩陣運算
• 學習線性代數基本理論
• 學習在統計之應用
• ## 課程進度 Progress Description

進度說明 Progress Description
14.7 Review Dimensions of the Four Subspaces
24.8 Rank and Orthogonal Complement
34.9 Matrix transformation from Rn to Rm
46.1 Inner Product Space – Inner Products
56.2 Inner Product Space – Orthogonality
66.3 Inner Product Space – Gram-Schmit Process
76.4 Inner Product Space – Projection Theorem
8Midterm
96.4 Inner Product Space – Projection Theorem
106.5 Inner Product Space – Least Squares Approximation, Application
115.1 Eigenvalues & Eigenvectors
125.2 Diagonalizing a Matrix
137.1 Diagonalization -- Orthogonal Matrices
147.2 Diagonalization -- Orthogonal Diagonalization Positive Definite Matrices
157.3 Diagonalization -- Quadratic Forms & The Principal Axis Theorem
169.5 Singular Value Decomposition
179.6 Singular Value Decomposition -- Application
18Final Examination
以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

## 有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No
3.本課程是否可歸認為學術倫理課程? 否
Is this course recognized as an academic ethics course? In the course how many hours are regarding academic ethics topics? No
4.本課程是否屬進入社區實踐課程? 否
Is this course recognized as a Community engagement and Service learning course? Which community will be engaged? No