CSE 4544: Numerical Analysis Methods Lab

This is an adavnced 0.75 credit lab course dedicated demonstrating varuious numerical techniques. The course is offered to 5th semester students of software engineering program. The students learn to implement and analyse various numerical methods in a hands on manner using the Python programming language.

The course contained of bi-weekly 3 hour practical sessions in lab. Syllabus:

• Solving Non-Linear Equations: Quadratic and Cubic equation solving, Bisection method, Newton-Raphson Method, Secant Method, False Position Method
• Solution of algebraic and Transcendental equation: Iterative method, Gauss elimination method, Gauss-Seidel method and their applications in Engineering fields.
• Linear Interpolation: Interpolation with one and two independent variables. Formation of different difference table. Newton’s forward and backward difference,Non Linear Interpolation, Lagrange’s interpolation, Neville-Aitken’s interpolation, Successive iteration.
• Regression Techniques: Linear and Non Linear Regression, Curve fitting, Methods of least square, Estimation of linear and nonlinear parameters, formulation, different engineering experimental results.
• Numerical Integration: Trapezoidal rule, Gauss’s Quadratic formula,Multiple integration, Romberg’s method.
• Numerical solution of ordinary differential equations