This course is to understand and explain how, why and when numerical approaches for solving methematical problems can be expected and worked
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This course is to understand and explain how, why and when numerical approaches for solving methematical problems can be expected and worked
--1. [Warming up]
--2. [Lecture] 前言(들어가는 말)
--3. [Lecture] What is Mathematics?
--4. [Lecture] What is Numerical Analysis?
--5. [Lecture] 数值分析的领域(수치해석의 영역)
--6. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] Introduction & Bisection Method
--3. [Lecture] Fixed Point Iteration
--4. [Lecture] Newton's Method
--5. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] Introduction & Bisection Method
--3. [Lecture] Fixed Point Iteration
--4. [Lecture] Newton's Method
--5. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] Introduction & Lagrange Polynomial
--3. [Lecture] Divided Difference
--4. [Lecture] Binomial Theorem
--5. [Lecture] Spline
--6. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] 积分,微分简介(적분, 미분 소개)
--3. [Lecture] Newton Cotes Formula
--4. [Lecture] Simpson's Rule
--5. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] Polynomial Version
--3. [Lecture] Matrix Version (Gauss Elimination)
--4. [Lecture] Numerical Version
--5. [Lecture] Determinant
--6. [Lecture] Example
--7. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] LU Factorization
--3. [Lecture] 计算方法(계산법)
--4. [Lecture] Existence and Uniqueness
--5. [Lecture] Cholesky Factorization
--6. [Activity] QUIZ
--期中考试(중간고사)
--1. [Warming up]
--2. [Lecture] Proof
--3. [Lecture] Gram-Schmidt Process
--4. [Lecture] Example
--5. [Lecture] Matrix Norms
--6. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] Jacobi Iterative Method
--3. [Lecture] Gauss Seidel Iterative Method
--4. [Lecture] Convergence Theorem
--5. [Lecture] Example
--6. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] Definition
--3. [Lecture] Theorem & Example 1
--4. [Lecture] Theorem & Example 2
--5. [Lecture] Theorem & Example 3
--6. [Lecture] Theorem & Example 4
--7. [Activity] QUIZ
--1. [Warming up]
--2. [Lecture] First Order Equation
--3. [Lecture] Euler's Method
--4. [Lecture] Error Analysis
--5. [Lecture] Euler Method
--6. [Activity] QUIZ
--1. [Warming up]
--1. [Lecture] Introduction
--2. [Lecture] n-th Runge-Kutta Methods
--3. [Lecture] Multi Step Method
--4. [Lecture] Explicit
--5. [Lecture] Example
--QUIZ
--1. [Warming up]
--2. [Lecture] Boundary Value Problem With O.D.E.
--3. [Lecture] Partial Differential Equations
--4. [Activity] QUIZ
--期末考试(기말고사)
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