SECTION A
Solution of Equations: Bisection, Secant, Regula Falsi, Newton’s Method, Roots of Polynomials. Interpolation: Lagrange and Hermite Interpolation, Divided Differences, Difference Schemes, Interpolation Formulas using Difference. Numerical Differentiation. Numerical Quadrature: Newton-Cote’s Formulas, Gauss Quadrature Formulas, Chebychev’s Formulas.
SECTION B
Linear Equations: Direct Methods for Solving Systems of Linear Equations (Gauss Elimination, LU Decomposition, Cholesky Decomposition), Iterative Methods (Jacobi, Gauss-Seidel, Relaxation Methods). The Algebraic Eigenvalue problem: Jacobi’s Method, Givens’ Method, Householder’s Method, Power Method, QR Method, Lanczos’ Method. Ordinary Differential Equations: Euler Method, Single-step Methods, Runge-Kutta’s Method, Multi-step Methods
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Important Questions list.
Important Formulae (Chapter Wise).
University Rules
Paper III : NUMERICAL ANALYSIS
Max. Marks : 30
Time : 3 hrs.
Note:
1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set from each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from each Unit. Each question will carry 6 marks.
3. The teaching time shall be five periods (45 minutes each) per paper per week including tutorial.
4. If internal assessment is to be conducted in the form of written examinations, then there will be only one written examination in a Semester.
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