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
Numerical analysis is the study of numerical algorithms that attempt to find approximate solutions of problems rather than the exact ones. Numerical method finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Furthermore, artificial intelligence (AI) has revolutionized numerous industries by providing intelligent solutions to complex problems, and numerical method plays a pivotal role in enhancing the performance and reliability of AI algorithms.
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Attendance Rate 30% Midterm Exam 30% Final Exam 40%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | 1. Introduction 2. Errors 3. The Taylor series 2025-02-19(三) 時數：[2025-02-19]鄔蜀威(3.00) |
| 第 2 週 | 1. Solutions of equations of one variable 2. Interpolation and curve fitting--polynomial approximation 2025-02-26(三) 時數：[2025-02-26]鄔蜀威(3.00) |
| 第 3 週 | 1. Interpolation and curve fitting--parametric equations and curves 2025-03-05(三) 時數：[2025-03-05]鄔蜀威(3.00) |
| 第 4 週 | 1. Solution of simultaneous linear algebraic equations 2. Numerical integration 2025-03-12(三) 時數：[2025-03-12]鄔蜀威(3.00) |
| 第 5 週 | 1. Numerical differentiation 2. Introduction to cryptography 2025-03-19(三) 時數：[2025-03-19]鄔蜀威(3.00) |
| 第 6 週 | 1. Modern cryptography 2025-03-26(三) 時數：[2025-03-26]鄔蜀威(3.00) |
| 第 7 週 | 1. Hash function 2025-04-02(三) 時數：[2025-04-02]鄔蜀威(3.00) |
| 第 8 週 | 1. Midterm Exam 2. Introduction to AI and ML 2025-04-09(三) 時數：[2025-04-09]鄔蜀威(3.00) |
| 第 9 週 | 1. Feature engineering 2. Loss function 2025-04-16(三) 時數：[2025-04-16]鄔蜀威(3.00) |
| 第 10 週 | 1. Optimization 2025-04-23(三) 時數：[2025-04-23]鄔蜀威(3.00) |
| 第 11 週 | 1. Regression analysis 2025-04-30(三) 時數：[2025-04-30]鄔蜀威(3.00) |
| 第 12 週 | 1. Algorithms of supervised learning (I) 2025-05-07(三) 時數：[2025-05-07]鄔蜀威(3.00) |
| 第 13 週 | 1. Algorithms of supervised learning (II) 2025-05-14(三) 時數：[2025-05-14]鄔蜀威(3.00) |
| 第 14 週 | 1. Algorithms of unsupervised learning 2. Principal component analysis 2025-05-21(三) 時數：[2025-05-21]鄔蜀威(3.00) |
| 第 15 週 | 1. Reinforcement learning 2025-05-28(三) 時數：[2025-05-28]鄔蜀威(3.00) |
| 第 16 週 | Final Exam 2025-06-04(三) 時數：[2025-06-04]鄔蜀威(3.00) |
Textbook not required
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