數值分析
Numerical Analysis
| 節 | 週三 |
|---|---|
5 13:20–14:10 | 數值分析 EE527（光復） 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
This course teaches the numerical methods to solve engineering problems using MATLAB.
1. Introduction to computer science 2. Computer programming
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教師未提供此項資料
Homework and In-class Assignment: 30% Midterm Exam: 30% Final Exam: 40%
Introduction
Introduction to programming language
- 講授：
- 3
- 示範：
- 3
- 實作：
- 3
Solving nonlinear equations
Background, estimation of errors in numerical solutions, bisection method, Newton's method, secant method, fixed-point iteration method, system of nonlinear equations
- 講授：
- 2
- 示範：
- 2
- 實作：
- 2
Solving a system of linear equations
Background, Gauss elimination method, iterative method, eigenvalues and eigenvectors
- 講授：
- 2
- 示範：
- 2
- 實作：
- 2
Curve fitting and interpolation
Curve fitting with linear/nonlinear equations, curve fitting with quadratic and higher-order polynomials, Interpolation
- 講授：
- 2
- 示範：
- 2
- 實作：
- 2
Numerical Differentiation
Finite difference approximation, finite difference formulas using Taylor series expansion, differentiation formulas using Lagrange polynomials
- 講授：
- 2
- 示範：
- 2
- 實作：
- 2
Numerical integration
Rectangle and midpoint methods, trapezoidal method, Simpson's method, Gauss quadrature, evaluation of multiple integrals
- 講授：
- 2
- 示範：
- 2
- 實作：
- 2
Solving ordinary differential equations
initial value problems, boundary value problems
- 講授：
- 3
- 示範：
- 3
- 實作：
- 3
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction 2024-09-04(三) |
| 第 2 週 | Introduction 2024-09-11(三) |
| 第 3 週 | Introduction 2024-09-18(三) |
| 第 4 週 | Solving nonlinear equations 2024-09-25(三) |
| 第 5 週 | Solving nonlinear equations 2024-10-02(三) |
| 第 6 週 | Curve fitting and interpolation 2024-10-09(三) |
| 第 7 週 | Curve fitting and interpolation 2024-10-16(三) |
| 第 8 週 | Numerical differentiation 2024-10-23(三) |
| 第 9 週 | Numerical differentiation 2024-10-30(三) |
| 第 10 週 | Numerical integration 2024-11-06(三) |
| 第 11 週 | Numerical integration 2024-11-13(三) |
| 第 12 週 | Solving ordinary differential equations 2024-11-20(三) |
| 第 13 週 | Solving ordinary differential equations 2024-11-27(三) |
| 第 14 週 | Solving ordinary differential equations 2024-12-04(三) |
| 第 15 週 | Solving ordinary differential equations 2024-12-11(三) |
| 第 16 週 | Final Exam 2024-12-18(三) |
Numerical Methods: An Introduction with Applications Using MATLAB, A. Gilat and V. Subramaniam, John Wiley, 2nd edition, 2011
- 地點
- EE 464
- 時間
- Anytime when I am in my office
- 聯絡方式
- 035712121 ext. 55136 Email: yhliu@nycu.edu.tw