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Curriculum | B.Sc (Non- Medical) | Title Numerical Analysis (Code 09010603)

Title Numerical Analysis (Code 09010603)

S.No Unit Contents Learning Objective Teaching Guidelines Methodology Time

(Hrs)

1 One 1. Finite difference operators and their relations

2. Finiding the missing terms and effect of error in a difference tabular values

3. Interpolation with equal intervals

4. Interpolation with unequal intervals

5. Lagrange’s interpolation formulae, Hermite formula

Students will be able to

 

To study the difference operators, and Interpolation with equal and unequal intervals

Lecture should be so effective so that the students can grasp the topic easily Lecture

Seminar

Discussion Assignments

Seminar

Class Tests

10
2 Two ·   Central Differences: Gauss forward and Gauss’s backward interpolation formulae

·   Sterling, Bessel Formula

·   Probability distribution of random variables, Binomial, Poisson’s and Normal distribution

·   Numerical differentiation: Derivative of a function using interpolation formulae as studied in section-I &II

·   Eigen value Problems: Power method, Jacobi’s method

·   Given’s method, House Holder’s method

·   QR method, Lanczos method

Students will be able to

 

 

 

Understand Central difference interpolation,  Differentiation of functions with numerical values and Eigen value and Eigen vectors

Lecture should be so effective so that the students can grasp the topic easily Lecture

Seminar

Discussion Assignments

Seminar

Class Tests

Evaluation of Assignements

20
3 Three ·   Numerical integration: Newton’s Cote’s Quadrature formula

·   Trapezoidal, Simpon’s one-third and three-eigth rule

·   Chebyehev formula, Gauss Quadratic formula

·   Numerical solution of ODEs: Single-step methods-Picard’s method, Taylor’s series method

·   Euler’s method, Runge-Kutta method

·   Modified Euler’s method

·   Milne-Simpson’s method

Students will be able to

 

 

Understand Numerical integration and Numerical solutions of ODEs with different methods

Lecture should be so effective so that the students can grasp the topic easily Lecture

Seminar

Discussion Assignments

Seminar

Class Tests

Evaluation of Assignements

15