Numerical Methods

Overview

Limited-Time Offer: Up to 75% Off Coursera Plus!

7000+ certificate courses from Google, Microsoft, IBM, and many more.

This course covers error analysis, linear systems, Gaussian elimination, LU decomposition, Jacobi and Gauss Seidel methods, numerical differentiation and integration, interpolation and approximation, and the solution of linear and nonlinear algebraic equations. The course aims to teach students numerical methods and techniques for solving mathematical problems encountered in various fields. The intended audience for this course includes students and professionals seeking to enhance their understanding and application of numerical methods.

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.