數值方法
Numerical Methods
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 數值方法 EC015 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 數值方法 EC015 |
* 根據陽明交大上課時間表所列
Numerical methods are extremely powerful problem-solving tools, especially when we need to handle large systems of linear or nonlinear equations, and complicated system simulation, which are not uncommon in real world engineering. The goal of this course is for you to learn the concepts of numerical methods and how to use them to solve engineering problems. The topics covered in this course include: (1) roots finding, (2) linear algebraic equations, (3) curve fitting, (4) numerical differentiation and integration, (5) ordinary differential equations and (3) optimization. Note: 1. This course will be taught in Mandarin. If you're not fluent in Mandarin, please don't take this course. 2. 本課程課表所列週一下午3:30 - 4:20 (M7) 將採線上課,上課時間於開學後另行公告。實體課程將只有週四(R34)兩堂課。 ************************ 重要公告: 2月13日停課;第一堂實體課2月16日開始! ************************
線性代數、基礎程式設計能力、中文
New E3 Web
Tentative grading scheme: Homework assignments: 40% Midterm exam: 30% Final exam: 30%
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to numerical methods |
| 第 2 週 | Basic operationsProgramming tipsGraph generation and file IO |
| 第 3 週 | |
| 第 4 週 | Bisection methodNewton-Raphson methodSecant methodSystem of nonlinear equations |
| 第 5 週 | Bisection methodNewton-Raphson methodSecant methodSystem of nonlinear equations |
| 第 6 週 | Least-square regressionNewton interpolating polynomialsSplinesLagrange interpolation polynomials |
| 第 7 週 | Least-square regressionNewton interpolating polynomialsSplinesLagrange interpolation polynomials |
| 第 8 週 | Midterm reviewMidterm exam |
| 第 9 週 | |
| 第 10 週 | |
| 第 11 週 | |
| 第 12 週 | |
| 第 13 週 | Euler’s methodRunge-Kutta methodBoundary-value problemShooting method |
| 第 14 週 | Euler’s methodRunge-Kutta methodBoundary-value problemShooting method |
| 第 15 週 | Euler’s methodRunge-Kutta methodBoundary-value problemShooting method |
| 第 16 週 | 1D unconstrained optimizationMultidimensional unconstrained optimization |
| 第 17 週 | 1D unconstrained optimizationMultidimensional unconstrained optimization |
| 第 18 週 | Final reviewFinal exam |
Textbook (Tentative, may be changed later ): Applied Numerical Analysis, 7th ed. (2004), by Gerald & Wheatley, Addison-Wesley Pub. Co. References: Scientific Computing: An Introductory Survey, 2nd Ed. (2002), by Michael Heath, McGraw-Hill Applied Numerical Methods with MATLAB for Engineers and Scientists, (2005), by S. C. Chapra, McGraw-Hill. Numerical Recipes in C++, 2nd Ed. (2002) by William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, Cambridge University Press
- 地點
- EC523
- 時間
- Thu 12:00-13:00
- 聯絡方式
- email: wclin@cs.nctu.edu.tw phone: 03-5712121-56687