Numerical Analysis

Numerical Analysis课程：前往报名学习

Numerical Analysis视频慕课课程简介：

This course is to understand and explain how, why and when numerical approaches for solving methematical problems can be expected and worked

前往报名学习

Numerical Analysis课程列表：

[Week 1] 数值分析简介（수치해석학의 소개）

-1. [Warming up]

--Introduction

-2. [Lecture] 前言（들어가는 말）

--Guide

--video

-3. [Lecture] What is Mathematics?

--Guide

--video

-4. [Lecture] What is Numerical Analysis?

--Guide

--video

-5. [Lecture] 数值分析的领域（수치해석의 영역）

--Guide

--video

-6. [Activity] QUIZ

[Week 2] 非线性方程式（비선형 방정식）

-1. [Warming up]

--Introduction

--Lecture Note

-2. [Lecture] Introduction & Bisection Method

--Guide

--video

-3. [Lecture] Fixed Point Iteration

--Guide

--video

-4. [Lecture] Newton's Method

--Guide

--video

-5. [Activity] QUIZ

[Week 3] Error Analysis

-1. [Warming up]

--Introduction

-2. [Lecture] Introduction & Bisection Method

--Guide

--video

-3. [Lecture] Fixed Point Iteration

--Guide

--video

-4. [Lecture] Newton's Method

--Guide

--video

-5. [Activity] QUIZ

[Week 4] Interpolation

-1. [Warming up]

--Introduction

-2. [Lecture] Introduction & Lagrange Polynomial

--Guide

--video

-3. [Lecture] Divided Difference

--Guide

--video

-4. [Lecture] Binomial Theorem

--Guide

--video

-5. [Lecture] Spline

--Guide

--video

-6. [Activity] QUIZ

[Week 5] 积分，微分（적분, 미분）

-1. [Warming up]

--Introduction

-2. [Lecture] 积分，微分简介（적분, 미분 소개）

--Guide

--video

-3. [Lecture] Newton Cotes Formula

--Guide

--video

-4. [Lecture] Simpson's Rule

--Guide

--video

-5. [Activity] QUIZ

[Week 6] Linear Algebra

-1. [Warming up]

--Introduction

-2. [Lecture] Polynomial Version

--Guide

--video

-3. [Lecture] Matrix Version (Gauss Elimination)

--Guide

--video

-4. [Lecture] Numerical Version

--Guide

--video

-5. [Lecture] Determinant

--Guide

--video

-6. [Lecture] Example

--Guide

--video

-7. [Activity] QUIZ

[Week 7] LU Factorization

-1. [Warming up]

--Introduction

-2. [Lecture] LU Factorization

--Guide

--video

-3. [Lecture] 计算方法（계산법）

--Guide

--video

-4. [Lecture] Existence and Uniqueness

--Guide

--video

-5. [Lecture] Cholesky Factorization

--Guide

--video

-6. [Activity] QUIZ

[期中考试（중간고사）]

-期中考试（중간고사）

[Week 8] QR Factorization

-1. [Warming up]

--Introduction

-2. [Lecture] Proof

--Guide

--video

-3. [Lecture] Gram-Schmidt Process

--Guide

--video

-4. [Lecture] Example

--Guide

--video

-5. [Lecture] Matrix Norms

--Guide

--video

-6. [Activity] QUIZ

[Week 9] Iterative Method

-1. [Warming up]

--Introduction

-2. [Lecture] Jacobi Iterative Method

--Guide

--video

-3. [Lecture] Gauss Seidel Iterative Method

--Guide

--video

-4. [Lecture] Convergence Theorem

--Guide

--video

-5. [Lecture] Example

--Guide

--video

-6. [Activity] QUIZ

[Week 10] Positive Definite

-1. [Warming up]

--Introduction

-2. [Lecture] Definition

--Guide

--video

-3. [Lecture] Theorem & Example 1

--Guide

--video

-4. [Lecture] Theorem & Example 2

--Guide

--video

-5. [Lecture] Theorem & Example 3

--Guide

--video

-6. [Lecture] Theorem & Example 4

--Guide

--video

-7. [Activity] QUIZ

[Week 11] Ordinary Differential Equation

-1. [Warming up]

--Introduction

-2. [Lecture] First Order Equation

--Guide

--video

-3. [Lecture] Euler's Method

--Guide

--video

-4. [Lecture] Error Analysis

--Guide

--video

-5. [Lecture] Euler Method

--Guide

--video

-6. [Activity] QUIZ

[Week 12] Runge-Kutta Methods

-1. [Warming up]

--Introduction

-1. [Lecture] Introduction

--Guide

--video

-2. [Lecture] n-th Runge-Kutta Methods

--Guide

--video

-3. [Lecture] Multi Step Method

--Guide

--video

-4. [Lecture] Explicit

--Guide

--video

-5. [Lecture] Example

--Guide

--video

-QUIZ

[Week 13] O.D.E. and P.D.E.

-1. [Warming up]

--Introduction

-2. [Lecture] Boundary Value Problem With O.D.E.

--Guide

--video

-3. [Lecture] Partial Differential Equations

--Guide

--video

-4. [Activity] QUIZ

[期末考试（기말고사]

-期末考试（기말고사)

Numerical Analysis开设学校：釜山国立大学

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