CS 312-NUMERICAL METHODS AND PROGRAMMING |
Approximation in numerical computation, Truncation and rounding errors; |
Interpolation: Lagrange’s Interpolation, Newton forward & backward differences Interpolation, Newton divided difference;
Numerical Integration: Trapezoidal, Rule, Simson’s 1/3 Rule, Weddle’ Rule;
Numerical Solution of a system of linear equation
Gauss elimination method, Matrix Inversion, LU Factorization method, Gauss Jacobi method, Gauss Seidel method;
Algebraic Equation: Bisection method, Secant method, Regular-Falsi method, Newton-Raphson method;
Numerical solution of ordinary differential equation: Taylor’s series method, Euler’s method, Runge-kutta method, and Predictor-
Corrector method;
C Language Overview: Loop, recursion, function, array, pointers, structures, various types of file access methods: Sequential, Indexed
Sequential, Random;
Various types of files in C and various types file handling statements in C
Implementation above Numerical & Statistical Problems in C Language;
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Text Books |
1. Numerical Analysis & Algorithms, Pradeep Niyogi, TMH, 1st ed.
2. Numerical Mathematical Analysis by J.B.Scarborough
3. C Language and Numerical Methods by C.Xavier
4. Introductory Numerical Analysis by Dutta & Jana
5. Balagurusamy: Numerical Methods
6. Discrete Mathematical Structure – Rakesh Dube and Vijay Vir, EXCEL BOOKS
7. Numerical Methods (Problems and Solution) by Jain, Iyengar , & Jain
8. Numerical Methods In Computer Applications – P.U.Wayse. EPH
9. Computer Orinted Numerical Method- N. Dutta vikash
10. Numerical Methods with Programs in Basic Fortran Pascal & C++ - S.B.Rao, Universities Press
11. Computer Programming & Numerical Analysis – N.Dutta, Universities Press
12. Numerical Methods for Engineers – Gupta, New Age International
13. Numerical Solutions of Differential Equations – Jain M.K.,New Age International
14. Numerical Methods for Scientific & Engg Computation – Jain M.K.,New Age International
15. Numerical Analysis – Rao G.S.,New Age International
16. Discrete Mathematical Structures – Rao G.S., New Age International
17. Foundations of Discrete Mathematics – Joshi K.D., New Age International
18. Applied Discrete Structures – Joshi, New Age International
19. Groups, Rings & Modules with Applications – Adhikari, M.R.,Universities Press |
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