數值方法
Numerical Methods
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 數值方法 ED302（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 數值方法 ED302（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) numerical differentiation and integration, (5) ordinary differential equations and (3) optimization.
線性代數、基礎程式設計能力
無備註
NCTU E3 Web
Tentative grading scheme: Homework assignments: 40% Midterm exam: 30% Final exam: 30%
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction to numerical methods Introduction |
| 第 2 週 | Basic operations Programming tips Graph generation and file IO MATLAB tutorial |
| 第 3 週 | Numerical data presentation: approximations and errors |
| 第 4 週 | Bisection method Newton-Raphson method Secant method System of nonlinear equations Root finding |
| 第 5 週 | Bisection method Newton-Raphson method Secant method System of nonlinear equations Root finding |
| 第 6 週 | Least-square regression Newton interpolating polynomials Splines Lagrange interpolation polynomials Curve fitting |
| 第 7 週 | Least-square regression Newton interpolating polynomials Splines Lagrange interpolation polynomials Curve fitting |
| 第 8 週 | Midterm review Midterm exam Midterm exam |
| 第 9 週 | Approximation of functions |
| 第 10 週 | Approximation of functions |
| 第 11 週 | Numerical differentiation and integration |
| 第 12 週 | Numerical differentiation and integration |
| 第 13 週 | Euler’s method Runge-Kutta method Boundary-value problem Shooting method Ordinary differential equation |
| 第 14 週 | Euler’s method Runge-Kutta method Boundary-value problem Shooting method Ordinary differential equation |
| 第 15 週 | Euler’s method Runge-Kutta method Boundary-value problem Shooting method Ordinary differential equation |
| 第 16 週 | 1D unconstrained optimization Multidimensional unconstrained optimization Optimization |
| 第 17 週 | 1D unconstrained optimization Multidimensional unconstrained optimization Optimization |
| 第 18 週 | Final review Final exam Final 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
- EC707
- 時間
- Wed 10:00-12:00
- 聯絡方式
- email: wclin@cs.nctu.edu.tw phone: 03-5712121-56687