Numerical Methods -

Lesson Plan
Name of the Faculty : Urmila Bhardwaj
Discipline : B.Tech. (CIVIL)
Semester : 5^th
Subject : Numerical Methods
Lesson Plan Duration : 15 weeks (from August, 2018 to November, 2018 )
Work Load (Lecture) per week (in hours) : Lectures - 03
Weeks	Theory
	Lecture	Topic
	Day	(including assignment / test)
1^st	1^st	SOLUTION OF NONLINEAR EQUATIONS: Bracketing methods for locating a root
	2^nd	Regula Falsi and Secant Method
	3^rd	Iteration Method
2^nd	1^st	Newton- Raphson Method
	2^nd	Mullar's Method/Assignment of SOLUTION OF NONLINEAR EQUATIONS
	3^rd	SOLUTION OF LINEAR SYSTEMS: Gaussian elimination Method
3^rd	1^st	Gauss Jordan Method/Test of SOLUTION OF NONLINEAR EQUATIONS
	2^nd	Matrix inversion, UV Factorization Method
	3^rd	Jacobi's Iterative Method
4^th	1^st	Gauss Seidal Iterative Method
	2^nd	Relaxation Method/Assignment of SOLUTION OF LINEAR SYSTEMS
	3^rd	INTERPOLATION AND CURVE FITTING: Newton's Forward and Backward formulas
5^th	1^st	Gauss Forward and Backward formulas
	2^nd	Stirling's and Bessel's Formulas
	3^rd	Laplace-Everett's Formulas/Test of SOLUTION OF LINEAR SYSTEMS
6^th	1^st	Lagrange approximation
	2^nd	Newton Polynomials
	3^rd	Chebyshev Polynomials
7^th	1^st	Least squares line, curve fitting
	2^nd	Interpolation by spline functions/Assignment of INTERPOLATION AND CURVE FITTING
	3^rd	SOLUTION OF DIFFERENTIAL EQUATIONS: Introduction to differential equations, Initial value problems and Euler’s method
8^th	1^st	Heun’s method
	2^nd	Runge-Kutta methods
	3^rd	Taylor series method
9^th	1^st	Predictor-Corrector methods
	2^nd	Systems of differential equations with Boundary valve problems: Finite-difference method/Assignment of SOLUTION OF DIFFERENTIAL EQUATIONS
	3^rd	NUMERICAL DIFFERENTIATION AND INTEGRATION:Approximating the derivative, Numerical differentiation formulas
10^th	1^st	Introduction to Numerical quadrature
	2^nd	Test of SOLUTION OF DIFFERENTIAL EQUATIONS
	3^rd	Newton-Cotes formula
11^th	1^st	Gaussion Quadrature/Assignment of NUMERICAL DIFFERENTIATION AND INTEGRATION
	2^nd	EIGEN VALUE PROBLEMS: Jacobi's Method for symmetric matrices
	3^rd	Given’s method for symmetric matrices
12^th	1^st	Householder’s method for symmetric matrices
	2^nd	Test of NUMERICAL DIFFERENTIATION AND INTEGRATION
	3^rd	Rutishauser method for general matrices
13^th	1^st	Power and Inverse power methods/Assignment of EIGEN VALUE PROBLEMS
	2^nd	ERRORS IN NUMERICAL CALCULATIONS: Introduction, Numbers and their accuracy, Absolute, relative and percentage errors and their analysis
	3^rd	Test of EIGEN VALUE PROBLEMS
14^th	1^st	General error formula/Assignment of ERRORS IN NUMERICAL CALCULATIONS
	2^nd	PARTIAL DIFFERENTIAL EQUATIONS: Solution of hyperbolic equations
	3^rd	Test of ERRORS IN NUMERICAL CALCULATIONS
15^th	1^st	Solution of Parabolic equations
	2^nd	Solution of elliptic equations
	3^rd	Test/Assignment of PARTIAL DIFFERENTIAL EQUATIONS