| 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 section-I &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 one-third and three-eigth rule |
| 3.Chebyehev formula, Gauss Quadratic formula |
| 4.Numerical solution of ODEs: Single-step methods-Picard’s method, Taylor’s series method |
