數值分析

This course teaches the numerical methods to solve engineering problems using MATLAB.

1. Introduction to computer science 2. Computer programming

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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

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@nctu.edu.tw