Week - 1 |
Matrices and Matrix algebra |
Week - 2 |
Determinants and its properties, Inverse of a matrix, |
Week - 3 |
Systems of linear equations and solutions |
Week - 4 |
Vector space and subspaces, |
Week - 5 |
Linear independence and basis |
Week - 6 |
Linear Transformations and Their Matrices |
Week - 7 |
Solutions of Nonlinear Equations: Method of Bisection |
Week - 8 |
Method of Newton-Raphson |
Week - 9 |
Curve Fitting, Least squares method |
Week - 10 |
Interpolation and Lagrange Polynomial |
Week - 11 |
Numerical Integration: Trapezoid and Simpson’s rule |
Week - 12 |
Numerical Solutions of Ordinary Differential Equations: Euler method |
Week - 13 |
Runge-Kutta method |
Week - 14 |
Taylor expansion method |