基本素養 Basic Literacy

核心能力 Competence

應用數學、物理、化學以及電機工程知識的能力。
The ability to apply mathematics, physics, chemistry and electrical engineering.
設計並執行實驗,以及分析與解釋數據的能力。
Design and perform experiments, and analyze and interpret data.
執行工程實務所需之技術、技能以及現代工程工具運用之能力。
Practice the necessary technical skills for engineering, and the ability to use modern engineering tools.
設計工程系統、元件或製程之能力。
The ability to design an engineering system, component, or process.
計畫管理、有效溝通與團隊合作之能力。
The ability to manage projects, communicate efficiently and work in teams.
發掘、分析以及解決工程問題之能力。
The ability to discover, analyze and solve engineering problems.
認識時事議題,瞭解工程技術對環境、社會以及全球之影響,並能持續學習之能力。
Learn about contemporary issues and understand the impact of engineering on the environment, society and the world, and develop lifelong learning.
理解專業倫理以及社會責任之能力。
The ability to understand professional ethics and social responsibility.

課程概述 Course Description

線性代數 3 學分 1.線性方程式:討論線性、齊性、非齊性方程式之定義。2. 矩陣:討論矩陣加、減、乘、反矩陣之運算。3. 行列式:討論行列式值的計算及應用。4. 向量空間:討論向量的意義、向量的表示、法向量加法、向量空間的定義、子空間的定義。5.特徵值與特徵向量:討論如何計算特徵值、特徵向量與特徵多項式及其概念、性質及求相似矩陣的概念和性質矩陣可對角化的充分必要條件和相似對角矩陣。
LINEAR ALGEBRA

課程學習目標 Course Objectives

  • Linear systems of equations
  • Vector spaces
  • Inner products
  • Linear Transformation
  • Eigenvector and eigenvalues
  • Other topics (Singular value decomposition)
  • 課程進度 Progress Description

    進度說明 Progress Description
    11 Systems of Linear Equations and Matrices (Chap. 1)
    22 Determinants (Chap. 2)
    33 Euclidean Vector Spaces (R2, R3, Rn) (Chap. 3,4)
    44 General Vector Spaces (Chap 5)
    55 Inner Product Spaces (Chap 6)
    66 Eigenvalues and Eigenvectors (Chap 7)
    77 Linear Transformations (Chap 8)
    88 Additional Topics (Chap 9) (Singular Value Decomposition, Jordan Forms, and others.)
    99 Complex Vector Spaces (Chap 10)
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     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