Linear Algebra -109 Academic Year
本課程是由 國立陽明交通大學電子物理系提供。
本課程介紹電磁學、量子力學等課程所需具備之線性代數以及向量微積分知識。
課程內容涵蓋向量代數運算、線性空間之定義及建構、線性變換以及矩陣表示、矩陣的行列式及應用、線性變換的特徵值及特徵向量，最後以歐幾里得空間為範例應用以上所學之觀念及數學技巧。
Textbook：Tom M. Apostol. Linear Algebra: A First Course with Applications to Differential Equations, A Wiley-Interscience Publication, 2014.
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| Instructor(s) | Electrophysics Prof. Yi Yang |
|---|---|
| Course Credits | 0 Credits |
| Academic Year | 109 Academic Year |
| Level | College Students |
| Prior Knowledge | |
| Related Resources | Course Video Course Syllabus |
| Week | Course Content | Course Video | Course Download |
|---|---|---|---|
| Chapter 0: Review of Prerequisites | Watch Online | MP4 Download | |
| Chapter 1-1: Vector Algebra Part 1 | Watch Online | MP4 Download | |
| Chapter 1-2: Vector Algebra Part 2 | Watch Online | MP4 Download | |
| Chapter 1-3: Vector Algebra Part 3 | Watch Online | MP4 Download | |
| Chapter 1-4: Vector Algebra Part 4 | Watch Online | MP4 Download | |
| Chapter 1-5: Vector Algebra Part 5 | Watch Online | MP4 Download | |
| Chapter 1-6: Vector Algebra Part 6 | Watch Online | MP4 Download | |
| Chapter 1-7: Vector Algebra Part 7 | Watch Online | MP4 Download | |
| Chapter 1-7: Vector Algebra Part 7 appendix | Watch Online | MP4 Download | |
| Chapter 1-8: Vector Algebra Part 8 | Watch Online | MP4 Download | |
| Chapter 1-9: Vector Algebra Part 9 | Watch Online | MP4 Download | |
| Chapter 3-1: Linear Spaces Part 1 | Watch Online | MP4 Download | |
| Chapter 3-2: Linear Spaces Part 2 | Watch Online | MP4 Download | |
| Chapter 3-3: Linear Spaces Part 3 | Watch Online | MP4 Download | |
| Chapter 3-4: Linear Spaces Part 4 | Watch Online | MP4 Download | |
| Chapter 3-5: Linear Spaces Part 5 | Watch Online | MP4 Download | |
| Chapter 3-6: Linear Spaces Part 6 | Watch Online | MP4 Download | |
| Chapter 4-1: Linear Transformations and Matrices Part 1 | Watch Online | MP4 Download | |
| Chapter 4-2: Linear Transformations and Matrices Part 2 | Watch Online | MP4 Download | |
| Chapter 4-3: Linear Transformations and Matrices Part 3 | Watch Online | MP4 Download | |
| Chapter 4-4: Linear Transformations and Matrices Part 4 | Watch Online | MP4 Download | |
| Chapter 4-5: Linear Transformations and Matrices Part 5 | Watch Online | MP4 Download | |
| Chapter 4-6: Linear Transformations and Matrices Part 6 | Watch Online | MP4 Download | |
| Chapter 4-7: Linear Transformations and Matrices Part 7 | Watch Online | MP4 Download | |
| Chapter 4-8: Linear Transformations and Matrices Part 8 | Watch Online | MP4 Download | |
| Chapter 4-9: Linear Transformations and Matrices Part 9 | Watch Online | MP4 Download | |
| Chapter 5-1: Determinants Part 1 | Watch Online | MP4 Download | |
| Chapter 5-2: Determinants Part 2 | Watch Online | MP4 Download | |
| Chapter 5-3: Determinants Part 3 | Watch Online | MP4 Download | |
| Chapter 6-1: Eigenvalues and Eigenvectors Part 1 | Watch Online | MP4 Download | |
| Chapter 6-2: Eigenvalues and Eigenvectors Part 2 | Watch Online | MP4 Download | |
| Chapter 6-3: Eigenvalues and Eigenvectors Part 3 | Watch Online | MP4 Download | |
| Chapter 7-1: Euclidean Spaces Part 1 | Watch Online | MP4 Download | |
| Chapter 7-2: Euclidean Spaces Part 2 | Watch Online | MP4 Download | |
| Chapter 7-3: Euclidean Spaces Part 3 | Watch Online | MP4 Download | |
| Chapter 7-4: Euclidean Spaces Part 4 | Watch Online | MP4 Download |
課程目標
本課程介紹電磁學、量子力學等課程所需具備之線性代數以及向量微積分知識。
課程內容涵蓋向量代數運算、線性空間之定義及建構、線性變換以及矩陣表示、矩陣的行列式及應用、線性變換的特徵值及特徵向量，最後以歐幾里得空間為範例應用以上所學之觀念及數學技巧。
授課方式
課程講解線性代數之觀念及技術，每章節指派課本習題作為練習，另有期中考試及期末考試檢驗對於課程內容是否足夠熟悉了解
課程書目
Tom M. Apostol. Linear Algebra: A First Course with Applications to Differential Equations, A Wiley-Interscience Publication, 2014.
COURSE
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