借由課程中抽象觀念的建立、定理的陳述分析、計算問題的解題方法、証明過程的邏輯思考與推演的訓練，暨應用題目的演練，使學生的理解、分析、組織、歸納、關聯、推演與應用等能力得以提昇，更進而培養學生獨立思考、解決問題的能力。
1. Systems of Linear Equations and Matrices
2. Determinants
3. Euclidean Vector Spaces
4. General Vector Spaces
5. Eigenvalues and Eigenvectors
6. Linear TransformationsThrough the establishment of abstract concepts in the course, the statement and analysis of theorems, the problem-solving methods of calculation problems, the training of logical thinking and deduction of the proof process, and the practice of application questions, students can improve their understanding, analysis, organization, induction, correlation, and deduction. and application abilities are improved, and students’ ability to think independently and solve problems is further developed.
1. Systems of Linear Equations and Matrices
2. Determinants
3. Euclidean Vector Spaces
4. General Vector Spaces
5. Eigenvalues and Eigenvectors
6.Linear Transformations
本課程藉由瞭解線性聯立方程式的過程，介紹各項向量與矩陣的運算，並建立向量空間的概念。從靜態與動態的觀點，解析相關之線性轉換與相關之矩陣代表式和更換基底與如何選取好的基底之運算。為使同學們深入瞭解各項理論與運算，在課堂上會介紹線性代數在工程、資訊、經濟、生物等之運用實例。
This course introduces the operations of various vectors and matrices and establishes the concept of vector space by understanding the process of linear simultaneous equations. From the static and dynamic perspectives, analyze the related linear transformation and related matrix representations, and the operations of replacing the basis and how to select a good basis. In order to enable students to have an in-depth understanding of various theories and operations, examples of the application of linear algebra in engineering, information, economics, biology, etc. will be introduced in class.
教科書: Elementary Linear Algebra Applications Version(12th); Anton, Rorres; 滄海書局
參考書:
1. Linear Algebra(4th): Friedberg, Insel, Spence; 新月圖書
2. Elementary Linear Algebra with Application(2nd); Nicholson; 新月圖書
3. Introduction to Linear Algebra; O' Neil; 華泰書局
Textbook: Elementary Linear Algebra Applications Version(12th); Anton, Rorres; Canghai Bookstore
Reference books:
1. Linear Algebra(4th): Friedberg, Insel, Spence; Crescent Books
2. Elementary Linear Algebra with Application(2nd); Nicholson; Crescent Books
3. Introduction to Linear Algebra; O' Neil; Huatai Book Company
| 評分項目 Grading Method | 配分比例 Grading percentage | 說明 Description |
|---|---|---|
| 小考小考 Quiz |
30 | |
| 期中考期中考 midterm exam |
30 | |
| 期末考期末考 final exam |
40 | |
| 平時成績：0 ~ 8 分(額外增加)平時成績：0 ~ 8 分(額外增加) Usual score: 0 ~ 8 points (extra points) |
8 |
