Mathematics

Block 1 – Solutions of Nonlinear Equations in One Variable
Errors and Approximations
Iterative Methods for Locating a Root
Chord Methods for Finding Roots
Approximate Roots of Polynomial Equations

Block 2 – Solutions of Linear Algebraic Equations
Direct Methods
Inverse of a Square Matrix
Iterative Methods
Eigenvalues and Eigenvectors

Block 3 – Interpolation
Lagrange’s Form
Newton’s Form of the Interpolating Polynomial
Interpolation at Equally Spaced Points

Block 4 – Numerical Differentiation, Integration and Solution of Differential Equations
Numerical Differentiation
Numerical Integration
Numerical Solution of Ordinary Differential Equations
Numerical Solution of Differential Equations using Runge-Kutta Methods