2023 Fall - 線性代數

--- title: 2023 Fall - 線性代數 tags: Syllabus GA: G-77TT93X4N1 --- # Syllabus -- 線性代數 I ## Instructor and TAs * Instructor: 林得勝 Office: SA242 ext. 56422 Email: teshenglin@nycu.edu.tw Office Hours: By appointment * Teaching Assistant: 蔡宛玲 * Teaching Assistant: 楊家睿  --- ## Course information ### Textbook: * Introduction to Linear Algebra, International Edition by *Gilbert Strang*. ### Grading Policy The final grade in this course will be determined as follows: 1. In-class quizzes (20% = 4 + 4 + 3 + 3 + 3 + 3 + 0) * Wednesday at 11:10AM-11:20AM 2. Assignments/presentations * Assignments should be submitted on E3 * Three assignments * 4 points for each one one * Board presentations * Two presentations (in-class or on E3) * At most one for each exam period * 4 points for each one * Points not obtained will be directly added to highest exam point. 3. Three exams (60% = 25+25+10) --- ## Course calander: | 週一 | | 週三 | | |------|---|------|--------| | 9/11 | 課程介紹, Ch.1 | 9/13 | Ch.1.2, Ch.2.1-2.3, Quiz 1 | | 9/18 | Ch.2.4, [Shur complement](https://hackmd.io/@teshenglin/LA_schur) | 9/20 | Ch.2.5 [Sherman-Morrison formula](https://nbviewer.org/github/teshenglin/computational_mathematics/blob/master/Sherman_Morrison_formula.ipynb) | | 9/25 | Ch.2.6, 2.7, [solve linear system with decomposition](https://nbviewer.org/github/teshenglin/computational_mathematics/blob/master/decomposition.ipynb) | 9/27 | Ch.3.1 Quiz 2 | |10/2 | | 10/4 | Ch.3.1, 3.2, 3.3 | |10/9 | No lecture (Holiday) | 10/11 | Ch.3.4, 3.5, 3.6 Quiz 3 | |10/16 | | 10/18 | **Exam 1** | |10/23 | Exam 1 review | 10/25 | Ch.4.1, 4.2 | |10/30 | Ch.4.3 | 11/1 | Quiz 4 Ch.4.4, [quiz 4#2](https://hackmd.io/@teshenglin/r1jOyWFm6) | |11/6 | Ch.4.4, 5.1 | 11/8 | Ch.5.1,5.2, 5.3, [Determinant](https://hackmd.io/@teshenglin/HJxdvgFwX6) | |11/13 | Ch.6.1 | 11/15 | Quiz 5, [trace and det](https://hackmd.io/@teshenglin/BJrVOGzV6), Ch.6.1 | |11/20 | **Exam 2** | 11/22 | Exam 2 review | |11/27 | Ch.6.2, 8.3, [Markov matrix](https://hackmd.io/@teshenglin/H16HmJmH6) | 11/29 | Quiz 6, 2x2 矩陣的[分類](https://hackmd.io/@teshenglin/ry9ATsVSp), [n次方](https://hackmd.io/@teshenglin/r19PFnESp) | |12/4 | Ch.6.4, 6.5, [最小平方法](https://hackmd.io/@teshenglin/B1ZoO3arp) | 12/6 | No lecture (Sports day) | |12/11 | Ch.6.7, [SVD demo](http://timbaumann.info/svd-image-compression-demo/) | 12/13 | [最小平方法 2](https://hackmd.io/@teshenglin/SJu8S9E8T) | |12/18 | Ch.6.7, 7.3, [PCA](https://hackmd.io/@teshenglin/ryjm3R6Ip), [PCA-python](https://teshenglin.github.io/pybooks/pca.html) | 12/20 | Quiz 7 | |12/25 | **Exam 3** | 12/27 | Exam 3 review | --- ## Extra materials * [Wiki - Rank factorization](https://en.wikipedia.org/wiki/Rank_factorization) * Video: [Gilbert Strang 2020 - The Column Space of a Matrix](https://youtu.be/azzrfdysfI0) * [2020 exam 1](https://drive.google.com/file/d/1BsTHJ1alIaNc4YcZIOAV0tUEYlobc6fI/view?usp=sharing) - [Solution](https://drive.google.com/file/d/1KDE-7rf8jB-a8VIsLJ1Jo12Ewaxmn2NX/view?usp=sharing) * [2020 exam 2](https://drive.google.com/file/d/1AoyMR5RmHHkErRX0yVnlMaE35cMW7dxP/view?usp=sharing) - [Solution](https://drive.google.com/file/d/1N5E2YUzLTQ-VZbBwyYfRLGyPj3U7VpTP/view?usp=sharing) * [2020 exam 3](https://drive.google.com/file/d/1eXmnVg7pxM8jExwvWChut6jxakfKJh6j/view?usp=sharing) - [Solution](https://drive.google.com/file/d/1JiwOFX1a2O5fAHxI54pJ9jJYKpq7F1gq/view?usp=sharing) --- ## Exams * [exam 1](https://drive.google.com/file/d/1X8AgWwARsFZqKUK1jaMnk8EcYfsoXzTg/view?usp=sharing) * [exam 2](https://drive.google.com/file/d/1MlqsLd7vfVRjJDnOQ6oEZoun3-y69q2b/view?usp=sharing) * [exam 3](https://drive.google.com/file/d/1UCCAX3-DV-vsep0HfGpAqsc9R_IsTQDH/view?usp=sharing) ## Assignments * [assignment 1](https://drive.google.com/file/d/1Rw-mxcH8zhZQGhsgKkrikSSf9PTdvX2p/view?usp=sharing) * [assignment 2](https://drive.google.com/file/d/1nCDsmDqlwLlfTPpD7k-q-Fs9IlT0arR2/view?usp=sharing) * [assignment 3](https://drive.google.com/file/d/13k_Pl10j4YNiIMt8V7sYO7ec1QnywJ-C/view?usp=sharing) ## Exercises ### Quiz 7 * 7.3 - # 1, 5, 10, 11, 15 * 6.7 - # 1, 2, 3, 4, 9, 12, 13 * 6.5 - # 1, 2, 6, 7, 20, 22, 24 * 6.4 - # 4, 5, 6, 11, 16, 17, 22, 25, 30 ### Quiz 6 * 8.3 - # 2, 3, 9, 10 * 6.2 - # 10, 18, 19, 23, 25, 31, 33, 35 * 6.1 - # 2, 3, 6, 11, 19, 26, 27, 30, 32 ### Quiz 5 * 4.3 - # 12, 16, 21, 22, 23 * 4.4 - # 4, 10, 15, 18, 24, 34 * 5.1 - # 3, 10, 27, 28, 29 * 5.2 - # 9, 12 * 5.3 - # 5, 7, 20 ### Quiz 4 * 4.1 - # 3, 6, 7, 9, 17, 18, 22, 29 * 4.2 - # 10, 17, 19, 22, 27, 30, 32, 34 * 3.4 - # 23, 34 * 3.5 - # 1, 7, 8, 16, 21, 24, 38, 39 * 3.6 - # 3, 4, 6, 13, 14, 21, 23, 25 ### Quiz 3 * 2.6 - # 13 * 2.7 - # 7, 17, 19 * 3.1 - # 1, 2, 4, 10, 17, 18, 24 * 3.2 - # 25, 35, 36 * 3.3 - # 10, 17, 18, 19, 22, 24 ### Quiz 2 * 2.1 - # 15, 17, 29, 35 * 2.2 - # 12, 21, 24, 25 * 2.3 - # 1, 9, 10, 18, 28, 31 * 2.4 - # 7, 11, 14, 23, 24, 27 * 2.5 - # 5, 7, 8, 15, 18, 29, 33, 42 ### Quiz 1 * 1.1 - # 2, 5, 7, 9, 18, 19, 27, 28, 29 * 1.2 - # 19, 26, 27 * 1.3 - # 10, 14 * 2.6 - # 11, 13, 14, 19, 20 * 2.7 - # 7, 13, 16, 17, 20