數值方法
Numerical Methods
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 數值方法 EC016 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 數值方法 EC016 |
* 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) function approximation (5) numerical differentiation and integration, and (6) ordinary differential equations.
線性代數、基礎程式設計能力
NCTU E3 Web Microsoft Teams "https://reurl.cc/5GRZDR" ( 請以NYCU Microsoft 365帳號登入 )
Quiz (33%) Midterm (33%) Final (34%)
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to numerical methods |
| 第 2 週 | Numerical data presentation: approximations and errors |
| 第 3 週 | Root finding: Bisection method, Newton-Raphson method, Secant method, System of nonlinear equations |
| 第 4 週 | Root finding: Secant method, System of nonlinear equations |
| 第 5 週 | Curve fitting: Least-square regression, Newton interpolating polynomials, Splines, Lagrange interpolation polynomials |
| 第 6 週 | Curve fitting: Least-square regression, Newton interpolating polynomials, Splines, Lagrange interpolation polynomials |
| 第 7 週 | Midterm review and midterm exam |
| 第 8 週 | Approximation of functions |
| 第 9 週 | Approximation of functions |
| 第 10 週 | Numerical differentiation |
| 第 11 週 | Numerical differentiation |
| 第 12 週 | Numerical integration |
| 第 13 週 | Optimization |
| 第 14 週 | Optimization |
| 第 15 週 | Optimization |
| 第 16 週 | Final review and final exam |
| 第 17 週 | |
| 第 18 週 |
Textbook : 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
- EC525
- 時間
- Thursday 2~4pm
- 聯絡方式
- jhchuang@cs.nctu.edu.tw