M(CS) 312-Numerical Methods and Programming |
Interpolation: |
Lagrange’s Interpolation, Newton’s forward & backward Interpolation Formula. Extrapolation;
Newton’s Divided Difference Formula; Error; Problems.
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Numerical Differentiation: |
Use of Newton’s forward and backward interpolation formula only. |
Numerical Integration: |
Trapezoidal formula (composite); Simson’s 1/3rd formula (composite); Romberg Integration
(statement only); Problems.
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Numerical Solution of System of Linear Equations: |
Gauss elimination method; Matrix Inversion; Operations Count; LU Factorization Method (Crout’s
Method); Gauss-Jordan Method; Gauss-Seidel Method; Sufficient Condition of Convergence.
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Numerical Solution of Algebraic and Transcendental Equations: |
Iteration Method: Bisection Method; Secant Method; Regula-Falsi Method; Newton-Raphson
Method.
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Numerical solution of Initial Value Problems of First Order Ordinary Differential Equations: |
Taylor’s Series Method; Euler’s Method; Runge-Kutta Method (4th order); Modified Euler’s
Method and Adams-Moulton Method.
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C Language Overview: |
Loop; Recursion; Function; Array; Pointers; Structures and Unions; Various types of File Access
Methods: Sequential, Indexed Sequential, Random; Binary.
Various types of Files in C and Various types of File Handling Statements in C
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Text Books: |
1 Numerical Analysis & Algorithms, Pradeep Niyogi, TMH, 1st ed.
2 C Language and Numerical Methods by C.Xavier
3 Introductory Numerical Analysis by Dutta & Jana
4 Numerical Method:Balagurusamy
5 Numerical Mathematical Analysis by J.B.Scarborough
6 Numerical Methods (Problems and Solution) by Jain, Iyengar , & Jain
7 Numerical Methods In Computer Applications – P.U.Wayse. EPH
8 Computer Oreinted Numerical Method- Dutta,N. ,Vikas
9 Numerical Methods with Programs in Basic Fortran Pascal & C++ - S.B.Rao, Universities
Press
10 Computer Programming & Numerical Analysis – N.Dutta, Universities Press
11 Numerical Methods for Engineers – Gupta, New Age International
12 Numerical Solutions of Differential Equations – Jain M.K.,New Age International
13 Numerical Methods for Scientific & Engg Computation – Jain M.K.,New Age International
14 Numerical Analysis – Rao G.S.,New Age International
15 Discrete Mathematical Structures – Rao G.S., New Age International
16 Foundations of Discrete Mathematics – Joshi K.D., New Age International
17 Applied Discrete Structures – Joshi, New Age International
18 Groups, Rings & Modules with Applications – Adhikari, M.R.,Universities Press
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