Numerical Methods Made Easy – Full Course (Part 1)

Numerical Analysis – Full Course (Part 2):    • Numerical Methods Made Easy – Full Course ...   In this Numerical Analysis full course, you'll learn everything you need to know to understand and solve problems with numerical analysis. If you're interested in learning more about numerical analysis, then this course is for you! By the end of this course, you'll have a good understanding of the basics of numerical analysis, Numerical analysis is a type of mathematics that we can use to solve problems through numerical approximations (numerical methods)! This timeline is meant to help you better navigate this numerical analysis full course: 0:00 Numerical vs Analytical Methods 2:25 Systems Of Linear Equations 5:59 Understanding Singular Matrices 8:15 What Are Special Matrices? (Identity, Diagonal, Lower and Upper Triangular Matrices) 11:10 Introduction To Gauss Elimination 15:10 Gauss Elimination 2x2 Example 18:37 Gauss Elimination Example 2 | 2x2 Matrix With Row Switching 21:14 Partial Pivoting Purpose 24:09 Gauss Elimination With Partial Pivoting Example 29:24 Gauss Elimination Example 3 | 3x3 Matrix 32:53 LU Factorization/Decomposition 38:22 LU Decomposition Example 42:43 Direct Vs Iterative Numerical Methods 45:08 Iterative Methods For Solving Linear Systems 49:41 Diagonally Dominant Matrices 52:04 Jacobi Iteration 55:29 Jacobi Iteration Example 59:54 Jacobi Iteration In Excel 1:04:39 Jacobi Iteration Method In Google Sheets 1:10:28 Gauss-Seidel Method 1:14:50 Gauss-Seidel Method Example 1:19:48 Gauss-Seidel Method In Excel 1:24:36 Gauss-Seidel Method In Google Sheets 1:32:18 Introduction To Non-Linear Numerical Methods 1:35:31 Open Vs Closed Numerical Methods 1:39:13 Bisection Method 1:42:39 Bisection Method Example 1:47:14 Bisection Method In Excel 1:51:49 Gauss-Seidel Method In Google Sheets 1:58:33 Bisection Method In Python 2:03:11 False Position Method 2:06:53 False Position Method In Excel 2:11:36 False Position Method In Google Sheets 2:16:56 False Position Method In Python 2:22:18 False Position Method Example 2:26:05 Newton’s Method 2:29:45 Newton’s Method Example 2:33:02 Newton’s Method In Excel 2:36:20 Newton’s Method In Google Sheets 2:39:34 Newton’s Method In Python 2:45:00 Secant Method 2:47:38 Secant Method Example 2:51:18 Secant Method In Excel 2:54:05 Secant Method In Sheets 2:56:35 Secant Method In Python 2:59:34 Fixed Point Method Intuition 3:02:39 Fixed Point Method Convergence 3:05:43 Fixed Point Method Example 2 3:09:34 Fixed Point Iteration Method In Excel 3:13:30 Fixed Point Iteration Method In Google Sheets 3:17:25 Introduction To Interpolation 3:19:18 Lagrange Polynomial Interpolation Introduction 3:24:00 First-Order Lagrange polynomial example 3:27:39 Second-Order Lagrange polynomial example 3:32:33 Third Order Lagrange Polynomial Example 3:37:51 Divided Difference Interpolation & Newton Polynomials 3:42:31 First Order Divided Difference Interpolation Example 3:45:46 Second Order Divided Difference Interpolation Example Follow & Support StudySession: Channel Memberships:    / @studysessionyt   Email Us: [email protected] Twitter:   / studysessionyt   Instagram:   / studysessionyt   This video is part of our Numerical Methods / Numerical Analysis course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc.. #studysession #numericalanalysis #numericalmethods