Numerical Methods

Explore a comprehensive course on numerical methods covering error analysis, linear systems, and advanced mathematical techniques. Dive into Gaussian elimination, LU decomposition, and iterative methods like Jacobi and Gauss-Seidel. Master numerical differentiation and integration through multiple lessons. Delve deep into interpolation and approximation concepts across nine detailed parts. Gain expertise in solving systems of linear algebraic equations through a 12-part series. Tackle non-linear algebraic equations, including polynomial equations, in a multi-part exploration. Develop practical skills in applying these numerical methods to solve complex mathematical problems.

Syllabus

Introduction to Error analysis and linear systems.
Gaussian elimination with partial pivoting.
LU Decomposition.
Jacobi and Gauss Seidel Methods.
Numerical Differentiation and Integration - Part 3.
Numerical Differentiation and Integration - Part 2.
Numerical Differentiation and Integration - Part 1.
Interpolation and Approximation - Part 9.
Interpolation and Approximation - Part 8.
Interpolation and Approximation - Part 7.
Interpolation and Approximation - Part 6.
Interpolation and Approximation - Part 5.
Interpolation and Approximation - Part 4.
Interpolation and Approximation - Part 3.
Interpolation and Approximation - Part 2.
Interpolation and Approximation - Part I.
Solution of a system of Linear Algebraic Equations - Part - 12.
Solution of a system of Linear Algebraic Equations - Part - 11.
Solution of a system of Linear Algebraic Equations - Part - 10.
Solution of a system of Linear Algebraic Equations - Part - 9.
Solution of a system of Linear Algebraic Equations - Part - 8.
Solution of a system of Linear Algebraic Equations - Part - 7.
Solution of a system of Linear Algebraic Equations - Part - 6.
Solution of a system of Linear Algebraic Equations - Part - 5.
Solution of a system of Linear Algebraic Equations - Part - 4.
Solution of a system of Linear Algebraic Equations - Part - 3.
Solution of a system of Linear Algebraic Equations - Part - 2.
Solution of a system of Linear Algebraic Equations - Part - 1.
Solution of Non-linear algebraic equations - part 3.
Solution of Nonlinear algebraic equations - part 09.
Solution of Nonlinear algebraic Equations - Part 8.
solution of non-linear algebraic equations - part 4.
Solution of non-linear algebraic equations - part 6.
Solution of non-linear algebraic equations - part 5.
Solution of Nonlinear algaebraic Equations - part 7 (Contd.). Polynomial equations.
Solution of Nonlinear Algebraic equations - part 2.
Solution of Non-linear algebraic equations - part I.