數值分析
Numerical Method
| 節 | 週三 |
|---|---|
2 09:00–09:50 | 數值分析 YEA200（陽明） 3 節連堂 |
3 10:10–11:00 | |
4 11:10–12:00 |
* 根據陽明交大上課時間表所列
The numerical method is one of the most important parts of data science. This course aims at providing the necessary basic concepts of a few numerical methods and give procedures for solving numerically different kinds of problems occurring in engineering and data science. Such methods include techniques for differentiation and integration, interpolation from the known to the unknown, and linear algebra underlying systems of equations. Besides, the cryptology and the principles of machine learning will also be introduced.
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On completion of this course students will able to: 1. Understand numerical techniques to find the roots of non-linear equations. and the solution of system of linear equations. 2. Understand the difference operators and the use of interpolation. 3. Understand numerical differentiation and integration. 4. Understand the cryptology and its applications. 5. Understand the principles of machine learning.
Course attendance: 20% Midterm examination: 40% Final report: 40%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | 1. Introduction 2. Preliminary Computer Science 3. Errors 2024-02-21(三) 時數：[2024-02-21]鄔蜀威(3.00) |
| 第 2 週 | Holiday 2024-02-28(三) 時數：[2024-02-28]鄔蜀威(3.00) |
| 第 3 週 | 1. Taylor Series 2. Solutions of Equations of One Variable 2024-03-06(三) 時數：[2024-03-06]鄔蜀威(3.00) |
| 第 4 週 | 1. Interpolation and Curve Fitting 2. Splines and Piecewise Interpolations 2024-03-13(三) 時數：[2024-03-13]鄔蜀威(3.00) |
| 第 5 週 | Solution of Simultaneous Linear Algebraic Equations 2024-03-20(三) 時數：[2024-03-20]鄔蜀威(3.00) |
| 第 6 週 | Numerical Integration 2024-03-27(三) 時數：[2024-03-27]鄔蜀威(3.00) |
| 第 7 週 | Numerical Differentiation 2024-04-03(三) 時數：[2024-04-03]鄔蜀威(3.00) |
| 第 8 週 | 1. Midterm Examination 2. Introduction to Finite Element Methods 2024-04-10(三) 時數：[2024-04-10]鄔蜀威(3.00) |
| 第 9 週 | Cryptology (I) 2024-04-17(三) 時數：[2024-04-17]鄔蜀威(3.00) |
| 第 10 週 | 1. Cryptology (II) 2. Virtual Currency and Blockchain 2024-04-24(三) 時數：[2024-04-24]鄔蜀威(3.00) |
| 第 11 週 | Introduction to Machine Learnibg 2024-05-01(三) 時數：[2024-05-01]鄔蜀威(3.00) |
| 第 12 週 | Optimization 2024-05-08(三) 時數：[2024-05-08]鄔蜀威(3.00) |
| 第 13 週 | Regression Analysis 2024-05-15(三) 時數：[2024-05-15]鄔蜀威(3.00) |
| 第 14 週 | Algorithms of Supervised Learning(I) 2024-05-22(三) 時數：[2024-05-22]鄔蜀威(3.00) |
| 第 15 週 | Algorithms of Supervised Learning(II) 2024-05-29(三) 時數：[2024-05-29]鄔蜀威(3.00) |
| 第 16 週 | Algorithms of Unsupervised Learning 2024-06-05(三) 時數：[2024-06-05]鄔蜀威(3.00) |
| 第 17 週 | Manifold Learning 2024-06-12(三) 時數：[2024-06-12]鄔蜀威(3.00) |
| 第 18 週 | Web-Based Learning: Python Programming Language 2024-06-19(三) 時數：[2024-06-19]鄔蜀威(3.00) |
S. C. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists, 3rd ed., McGraw-Hill, 2011. (高立圖書)
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