Week 1: Introduction to Python:- fundamentals, control flow, listing, functions, loops,file handling.
Week 2: Introduction to Python:- fundamentals, control flow, listing, functions, loops,file handling.(Cont,..)
Week 3: Error estimation and methods of roots finding:- fixed point method, bisection method, Regula-falsi and secant method, Newton Raphson method and their convergence.
Week 4: Solving System of Linear Algebraic equations: Gauss elimination, LU decomposition, Gauss Jacobi and Gauss Seidel method and their convergence.
Week 5: Solving System of Linear Algebraic equations: Gauss elimination, LU decomposition, Gauss Jacobi and Gauss Seidel method and their convergence.(Cont,..)
Week 6: Curve fitting using least square method and Interpolation:- linear and nonlinear curve fitting, Lagrange interpolation, Newton methods for interpolation.
Week 7: Curve fitting using least square method and Interpolation:- linear and nonlinear curve fitting, Lagrange interpolation, Newton methods for interpolation.(Cont,..)
Week 8: Splines:- derivation for linear and cubic interpolation
Week 9: Numerical differentiation: - based on forward, backward and central finite difference operator, based on interpolation.
Week 10: Numerical Integration: Newton-Cotes Quadrature Formula, Romberg’s integration, Method of undetermined coefficients.
Week 11: Numerical solution of Initial value problems (IVP) and their convergence:-Picard’s method, Euler’s method, modified Euler’s method, Runge-Kutta method, Predictor-corrector methods and their convergence.
Week 12: Numerical solution of Initial value problems (IVP) and their convergence:-Picard’s method, Euler’s method, modified Euler’s method, Runge-Kutta method, Predictor-corrector methods and their convergence.(Cont,..)
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