Week - 1 |
Matrices and Linear Equation Systems: Matrix concept, Matrix operations |
Week - 2 |
Solutions with the help of linear equation systems and matrices |
Week - 3 |
Determinant: Determinant concept and its properties |
Week - 4 |
Inverse of a matrix |
Week - 5 |
Applications of determinants |
Week - 6 |
Vector Spaces: Vectors in the plane and in space, subspaces |
Week - 7 |
Linear independence and base |
Week - 8 |
Linear transformations and their matrices |
Week - 9 |
Solutions of Nonlinear Equations: Bisection method |
Week - 10 |
Newton Raphson method |
Week - 11 |
Curve Fitting: Least Squares and Interpolation Methods |
Week - 12 |
Numerical Derivative |
Week - 13 |
Numerical Integral: Trapezoid and Simpson's rules |
Week - 14 |
Numerical Solutions of Ordinary Differential Equations: Runge-Kutta, Euler and Taylor expansion methods |