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
To explore complex systems, engineers require computational methods since mathematical models are only rarely solvable algebraically. To enhance the problem solving skills of engineering students using an extremely powerful problem solving tool namely numerical methods. Such methods include techniques for differentiation and integration, interpolation from the known to the unknown, linear algebra underlying systems of equations, and differential equations to simulate systems.
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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 solution of system of linear equations. 2. Understand the difference operators and the use of interpolation. 3. Understand numerical differentiation and integration and numerical solutions of ordinary and partial differential equations.
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction Preliminary Computer Science 2021/02/24 |
| 第 2 週 | Truncation Errors and the Taylor Series Solutions of Equations of One Variable (I) 2021/03/03 |
| 第 3 週 | Solutions of Equations of One Variable (II) 2021/03/10 |
| 第 4 週 | Curve Fitting 2021/03/17 |
| 第 5 週 | Splines and Piecewise Interpolations 2021/03/24 |
| 第 6 週 | Linear Regression Fourier Series 2021/03/31 |
| 第 7 週 | Solution of Simultaneous Linear Algebraic Equations 2021/04/07 |
| 第 8 週 | Numerical Integration 2021/04/14 |
| 第 9 週 | Numerical Differentiation 2021/04/21 |
| 第 10 週 | Solutions of Matrix Eigenvalue 2021/04/28 |
| 第 11 週 | Boundary Value Problems Finite Difference Methods 2021/05/05 |
| 第 12 週 | Weighted Residual Methods 2021/05/12 |
| 第 13 週 | Finite Element Methods (I) 2021/05/19 |
| 第 14 週 | Finite Element Methods (II) 2021/05/26 |
| 第 15 週 | Finite Element Methods (III) 2021/06/02 |
| 第 16 週 | Final Examination 2021/06/09 |
| 第 17 週 | Web-Based Learning: Python Programming Language 2021/06/16 |
| 第 18 週 | Web-Based Learning: Python Programming Language 2021/06/23 |
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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