Can you provide me the syllabus of B. Tech in Computer Science and Engineering Program offered by NIT (National Institute of Technology) Warangal?

The syllabus of B. Tech in Computer Science and Engineering Program offered by NIT (National Institute of Technology) Warangal is as follows:

MA101 MATHEMATICS – I

Detailed Syllabus:

Matrix Theory: Elementary row and column operations on a matrix, Rank of matrix – Normal form – Inverse of a matrix using elementary operations –Consistency and solutions of systems of linear equations using elementary operations, linear dependence and independence of vectors - Characteristic roots and vectors of a matrix - Caley-Hamillton theorem and its applications, Complex matrices, Hermitian and Unitary Matrices – Reduction to diagonal form - Reduction of a quadratic form to canonical form – orthogonal transformation and congruent transformation.

Differential Calculus: Rolle’s theorem; Mean value theorem; Taylor’s and Maclaurin’s theorems with remainders, Expansions; Indeterminate forms; Asymptotes and curvature; Curve tracing; Functions of several variables, Partial Differentiation, Total Differentiation, Euler’s theorem and generalization, maxima and minima of functions of several variables (two and three variables) – Lagrange’s method of Multipliers; Change of variables – Jacobians.

Ordinary differential equations of first order: Formation of differential equations; Separable equations; equations reducible to separable form; exact equations; integrating factors; linear first order equations; Bernoulli’s equation; Orthogonal trajectories and Newton’s law of cooling.

Ordinary linear differential equations of higher order : Homogeneous linear equations of arbitrary order with constant coefficients - Non-homogeneous linear equations with constant coefficients; Euler and Cauchy’s equations; Method of variation of parameters; System of linear differential equations, Vibrations of a beam.

Reading:
1. R. K. Jain and S. R. K. Iyengar, Advanced Engineering Mathematics, Narosa Pub. House, 2008
2. Erwyn Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 8th Edition, 2008
3. B. S. Grewal, Higher Engineering Mathematics, Khanna Publications, 2009


Syllabus of B. Tech in Computer Science and Engineering NIT Warangal

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