EM 314: Numerical Methods

Course Number : EM 314
Course Title : Numerical Methods
Credits : 3
Prerequisites : None

No	Course Content	Time Allocated (hours)
		L	T	P	A

01	Introduction to Numerical Methods Error analysis	1
02	Solutions to Systems of Linear Equations Gaussian elimination, UD factorization, Iterative methods, Relaxation methods	4
03	Solutions to Non-Linear Equations Fixed point iteration, Newton-Raphson method, System of non-linear equations	4
04	Interpolation Lagrange and Newton interpolations, Piecewise and sline interpolations	4
05	Approximation & Curve Fitting Taylor series, Least square approximations, Fourier approximation, Uniform (minimax) polynomial approximation, Chebyshev polynomial approximation	4
06	Numerical Calculus Diffrentiation, Interpolation method, Finite difference integration, Newton-Cotes methods, Gaussian integration methods	5
07	Numerical Solutions to Ordinary Differential Equations Single step methods ; Taylor method, Runge-kutta methods Multi step methods ; Adams-Bashforth, Adams-Moulton, Predictor corrector methods, Solving system of ordinary differential equations and higher order differential equations Adaptive step size mechanisms	5
08	Numerical Solutions to Partial differential Equations Explicit and implicit finite difference methods, Basics of finite element methods	4
	*Total = 31 + 4 + 0.520 = 45**	31	4		20


Assessment		Percentage Marks
Continuous Assessment				30
Class Participation		5
Tutorials		5
Assignments/Labs		20
Written Examination				70
Mid-semester		20
End-semester		50

Computer Engineering