數值分析

Numerical Analysis

學期

112-1

學分

0 學分

當期課號

515104

永久課號

EEEC20033

開課單位

電機工程學系

授課教師

李冕

校區

光復

類別

選修

上課時間表

節	週二	週五
2 09:00–09:50		數值分析 EDB07（光復）
5 13:20–14:10	數值分析 EDB07（光復） 2 節連堂
6 14:20–15:10	數值分析 EDB07（光復） 2 節連堂

* 根據陽明交大上課時間表所列

概述

This course offers an introduction to problem-solving techniques, mathematical analysis, and programming algorithms with a primary emphasis on the Julia programming language. While acknowledging the significance of numerical analysis in contemporary applied mathematics and its role as the bedrock of computer simulation and diverse application domains, this course prioritizes the acquisition of skills and knowledge specific to Julia programming. Students will gain a comprehensive understanding of programming with Julia and its practical applications, enabling them to excel in utilizing this powerful language for problem-solving tasks.

先修科目

Basic programming skills, Calculus, Linear Algebra, Differential Equations

備註

無備註

教學方式

教師未提供此項資料

評分方式

Grading policy will be explained in the first lecture and posted as a video on YouTube

課程大綱

教師未提供此項資料

週次計畫

週次	主題
第 1 週	Introduction to Julia and Numerical methods 2023-09-12(二),2023-09-15(五)
第 2 週	Approximations & errors, Roots of equation- closed methods 2023-09-19(二),2023-09-22(五)
第 3 週	Solving Linear equations: Gauss Elimination 2023-09-26(二),2023-09-29(五)
第 4 週	Solving Linear equations: Pivoting, Scaling, LU Decomposition 2023-10-03(二),2023-10-06(五)
第 5 週	Solving linear equation: interactive methods, norm, applications 2023-10-10(二),2023-10-13(五)
第 6 週	Solving nonlinear equation: Newton Raphson method 2023-10-17(二),2023-10-20(五)
第 7 週	Solving nonlinear equation: applications 2023-10-24(二),2023-10-27(五)
第 8 週	Solving ordinary differential equations (ODE): Euler & Runge-Kutta methods, initial value problem 2023-10-31(二),2023-11-03(五)
第 9 週	Solving ordinary differential equations (ODE): stiffness, boundary value problem and application 2023-11-07(二),2023-11-10(五)
第 10 週	Solving ordinary differential equations (ODE): stiffness, boundary value problem and application 2023-11-14(二),2023-11-17(五)
第 11 週	Curve Fitting: least-squares regression 2023-11-21(二),2023-11-24(五)
第 12 週	Curve Fitting: interpolation Fourier approximation and application 2023-11-28(二),2023-12-01(五)
第 13 週	Curve Fitting: applications 2023-12-05(二),2023-12-08(五)
第 14 週	Solving partial differential equations (PDE): elliptic equation 2023-12-12(二),2023-12-15(五)
第 15 週	Solving partial differential equations (PDE): parabolic equation and FEM 2023-12-19(二),2023-12-22(五)
第 16 週	Numerical integration 2023-12-26(二),2023-12-29(五)

教科書

First Semester in Numerical Analysis with Julia, Giray Ökten, Florida State University Numerical Analysis, R. L. Burden and J. D. Faires, Brooks/Cole

Office Hours

地點: ED716A
時間: Anytime
聯絡方式: stefano@nycu.edu.tw