S.No. 
Content of the topics 
Learning Objectives 
Teaching Guidelines 
Methodology 
Time (Hours) 
1 
1.Finite difference operators and their relations 
Student will be able to understand about finite difference operators and interpolation 
Lecture should be effective so that student will be able to grasp the topics easily 
Assignments/ Seminars/ Class Tests/ Presentations 
10 
2.Finiding the missing terms and effect of error in a difference tabular values 
3.Interpolation with equal intervals: Newton’s forward and Newton’s backward interpolation formulae 
4.Interpolation with unequal intervals: Newton’s divided difference 
5.Lagrange’s interpolation formulae 
6.Hermite formula 
2 
1.Central Differences: Gauss forward and Gauss’s backward interpolation formulae 
Student will be able to understand the study of Central differences, distributions 
Lecture should be effective so that student will be able to grasp the topics easily 
Assignments /Seminars /Class Tests /presentations 
15 
2.Sterling, Bessel Formula 
3.Probability distribution of random variables 
4.Binomial distribution 
5.Poisson’s distribution 
6.Normal distribution: Mean, Variance and Fitting 
3 
1.Numerical differentiation: Derivative of a function using interpolation formulae as studied in sectionI &II 
Student will be able to know about the numerical differentiation 
Lecture should be effective so that student will be able to grasp the topics easily 
Assignments/ Seminars/ Class Tests/ Presentations 
12 
2.Eigen value Problems: Power method, Jacobi’s method 
3.Given’s method, House Holder’s method 
4.QR method, Lanczos method 
4 
1.Numerical integration: Newton’s Cote’s Quadrature formula 
Student will be able to understand the numerical integration and numerical solutions of ODEs with methods 
Lecture should be effective so that student will be able to grasp the topics easily 
Assignments/ Seminars/ Class Tests/ Presentations 

2.Trapezoidal rule, Simpon’s onethird and threeeigth rule 
3.Chebyehev formula, Gauss Quadratic formula 
4.Numerical solution of ODEs: Singlestep methodsPicard’s method, Taylor’s series method 