數值方法
Numerical Methods
| 節 | 週一 | 週四 |
|---|---|---|
3 10:10–11:00 | 數值方法 EC015（光復） 2 節連堂 | |
4 11:10–12:00 | ||
7 15:30–16:20 | 數值方法 EC015（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. 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。 ************************************************************************************************************ * 2/19停課一次,第一節課將於2/22採實體上課。 ************************************************************************************************************ 對於想加簽的同學很抱歉,因為考量教室容量有限及助教工作負荷,我們必須限制修課人數。 按照目前修課人數,我們可允許10位同學在週四下課後加簽。加簽優先順序如下: 1. 本系生優先,若本系生超過10人要加簽,以高年級優先。 2. 若有剩餘名額,本校生優先(高年級優先)。 3. 無法決定優先順序時,抽籤決定。
線性代數、基礎程式設計能力、中文
無備註
New 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 2024-02-19(一),2024-02-22(四) |
| 第 2 週 | Basic operations Programming tips Graph generation and file IO 2024-02-26(一),2024-02-29(四) |
| 第 3 週 | Bisection method Newton-Raphson method Secant method System of nonlinear equations 2024-03-04(一),2024-03-07(四) |
| 第 4 週 | Bisection method Newton-Raphson method Secant method System of nonlinear equations 2024-03-11(一),2024-03-14(四) |
| 第 5 週 | Bisection method Newton-Raphson method Secant method System of nonlinear equations 2024-03-18(一),2024-03-21(四) |
| 第 6 週 | Least-square regression Newton interpolating polynomials Splines Lagrange interpolation polynomials 2024-03-25(一),2024-03-28(四) |
| 第 7 週 | Least-square regression Newton interpolating polynomials Splines Lagrange interpolation polynomials 2024-04-01(一),2024-04-04(四) |
| 第 8 週 | Midterm review 2024-04-08(一),2024-04-11(四) |
| 第 9 週 | Midterm exam (Tentative) 2024-04-15(一),2024-04-18(四) |
| 第 10 週 | Numerical differentiationn 2024-04-22(一),2024-04-25(四) |
| 第 11 週 | Numerical integration 2024-04-29(一),2024-05-02(四) |
| 第 12 週 | Euler’s method Runge-Kutta method 2024-05-06(一),2024-05-09(四) |
| 第 13 週 | Boundary-value problem Shooting method 2024-05-13(一),2024-05-16(四) |
| 第 14 週 | 1D unconstrained optimization 2024-05-20(一),2024-05-23(四) |
| 第 15 週 | Multidimensional unconstrained optimization 2024-05-27(一),2024-05-30(四) |
| 第 16 週 | Final review 2024-06-03(一),2024-06-06(四) |
| 第 17 週 | Final exam (Tentative) 2024-06-10(一),2024-06-13(四) |
| 第 18 週 | 2024-06-17(一),2024-06-20(四) |
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