MTC-1011 :
Numerical Analysis
Syllabus: PAPER-II:MT-222(B): NUMERICAL METHODS AND ITS APPLICATIONS
1. Errors: [4 ]
1.1 Errors and Their Computations
1.2 Rounding off numbers to n significant digits, to n decimal places.
1.3 Absolute, relative and percentage errors.
1.4 A general error formula.
2. Solution of Algebraic and Transcendental Equations: [10]
2.1 Bisection method.
2.2 The method of False position.
2.3 The iteration method, Aitkens △2 process
2.4 Newton- Raphson Method.
For Notes
3. Interpolation: [16]
3.1 Finite Difference Operators and their relations.
3.2 Detection of Errors using difference table.
3.3 Differences of a polynomial
3.4 Newtons Interpolation Formulae (Forward and Backward )
3.5 Lagranges Interpolation Formula
3.6 Divided differences and Newtons General Interpolation formula.
4. Least Squares Curve Fitting Procedures [4]
4.1 Fitting a Straight Line
4.2 Nonlinear curve fitting: Power function y = axc
,polynomials of degree 2 and
3,Exponential function y = cedx
5. Numerical Differentiation and Integration: [8 ]
5.1Numerical Differentiation
5.2Numerical Integration,General quadrature formula.
5.3 Trapezoidal rule.
5.4 Simpsonss 1/ 3 rule.
5.5 Simpsonss 1/ 8 rule.
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