數值方法
Numerical Methods
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 數值方法 EC114（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 數值方法 EC114（光復） |
* 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) optimization.
線性代數、基礎程式設計能力
無備註
NCTU E3 Web
Attendence (10%) Quiz (30%) Midterm (30%) Final (30%)
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to numerical methods 2025-02-17(一),2025-02-20(四) |
| 第 2 週 | Numerical data presentation: approximations and errors 2025-02-24(一),2025-02-27(四) |
| 第 3 週 | Root finding: Bisection method, Newton-Raphson method, Secant method, System of nonlinear equations 2025-03-03(一),2025-03-06(四) |
| 第 4 週 | Root finding: Secant method, System of nonlinear equations 2025-03-10(一),2025-03-13(四) |
| 第 5 週 | Curve fitting: Least-square regression, Newton interpolating polynomials, Splines, Lagrange interpolation polynomials 2025-03-17(一),2025-03-20(四) |
| 第 6 週 | Curve fitting: Least-square regression, Newton interpolating polynomials, Splines, Lagrange interpolation polynomials 2025-03-24(一),2025-03-27(四) |
| 第 7 週 | Midterm review and midterm exam 2025-03-31(一),2025-04-03(四) |
| 第 8 週 | Approximation of functions 2025-04-07(一),2025-04-10(四) |
| 第 9 週 | Approximation of functions 2025-04-14(一),2025-04-17(四) |
| 第 10 週 | Numerical differentiation 2025-04-21(一),2025-04-24(四) |
| 第 11 週 | Numerical differentiation 2025-04-28(一),2025-05-01(四) |
| 第 12 週 | Numerical integration 2025-05-05(一),2025-05-08(四) |
| 第 13 週 | Optimization 2025-05-12(一),2025-05-15(四) |
| 第 14 週 | Optimization 2025-05-19(一),2025-05-22(四) |
| 第 15 週 | Optimization 2025-05-26(一),2025-05-29(四) |
| 第 16 週 | Final review and final exam 2025-06-02(一),2025-06-05(四) |
| 第 17 週 | 2025-06-09(一),2025-06-12(四) |
| 第 18 週 | 2025-06-16(一),2025-06-19(四) |
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