Posted Date: 10 Feb 2020      Posted By:: Shouvik Maj    Member Level: Silver  Points: 3 (₹ 3)

# 2019 B.E Computer Science and Engineering B.E Jadavpur University Computer Science & Engineering - Numerical Methods (2nd Year First Semester) -2019 Question paper

 Course: B.E Computer Science and Engineering University/board: Jadavpur University

Are you looking for the old question papers of Jadavpur University Computer Science & Engineering - Numerical Methods ? Here is the previous year question paper from Jadavpur University. This is the original question paper from the CSE Department for second year first semester exam conducted by Jadavpur University in year 2019. Feel free to download the question paper from here and use it to prepare for your upcoming exams.

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Exam Name- B.E Computer Science and Engineering Exam
2nd Year- 1st Semester

Subject- Numerical Methods

Total Time- Three Hours
Maximum Marks- 100

Syllabus

Approximations and Errors associated with numerical methods.
Solution of non-linear equations:
Iterative method using repeated substitutions, Bisection method, method of false position,
Newton-Raphson method, Secant method, Chebyshev method.
Analysis and comparison of these methods.
Finding complex roots of a polynomial equation: Lin's method, Bairstow's method.

Solution of linear simultaneous equations:
Direct methods:
Gaussian elimination, Gauss-Jordan elimination, matrix inversion using Gauss-Jordan
elimination.
Iterative methods:
Jacobi's method, Gauss-Seidel method and their analysis.
Solution of non-linear simultaneous equations:
Iterative method and newton-Raphson method.
Finding the eigenvalues and corresponding eigenvectors of a suare matrix:
Definitions of eigenvalues and eigenvectors, Power method for finding the eigenvalues
and corresponding eigenvectors of a square matrix.
Transform methods : Jacobi's method, Hessenberg's method.
Methods for interpolation:
Newton's forward difference formula, Newton's backward difference formula, Gauss
central difference formula.
Divided difference formula, Lagrange's formula, iterative interpolation method.
Curve fitting: method of least squared error, cubic splines.
Methods for differentiation:
Computation of derivatives using Newton's forward/backward difference formulae.
Methods for integration:
Trapezoidal method, Simpson's method, Boole's method, analysis and comparison of
these methods, Romberg's method, Gauss quadrature formula.
Solution of differential equations:
Euler's method, modified Euler's method, Runge-Kutta 2nd order formula, Runge-Kutta
4
th order formula, predictor-corrector methods.
Solution of partial differential equations

Attachments:

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