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July 20th, 2016, 09:33 AM
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Syllabus of NIT Patna

Can you provide me the syllabus of 1st and 2nd Semester of B Tech or Bachelor of Technology as offered by NIT or National Institute of Technology Patna?

The syllabus of 1st and 2nd Semester of B Tech or Bachelor of Technology as offered by NIT or National Institute of Technology Patna is as follows:

MA101 Mathematics – I

Matrix Algebra:
Elementary row & column transformation, Inverse of the matrix , Cannonical form, Reduction to Canonical form , rank of the matrix , solution of simultaneous linear equations, characteristic equation, eigen values & eigen vectors, Caley-Hamilton theorem, Similarity transformation

Differential Calculus:
Successive differentiation, Leibnitz theorem, indeterminate form, Limit, continuity and differentiability of functions of several variables, partial derivatives and their geometrical interpretation, differentials, derivatives of composite and implicit functions, derivatives of higher order and their commutatively, Euler s theorem on homogeneous functions, harmonic functions, Taylor s expansion of functions of two variables, maxima and minima of functions of two variables , Lagrange s method of multipliers

Differential equation:
Ordinary Differential Equations: First order differential equations - separable variable, homogeneous, exact, linear and Bernoulli s form. Second and higher order differential equations with constant coefficients, method of variation of parameters, Euler s equations, system of linear differential equations

Infinite Series:
Notion of convergence and divergence of infinite series – Ratio test, comparison test, Raabe’s test, Root test, alternating series –Leibnitz test , absolute and conditional convergence, Power series .


Attached Files
File Type: pdf B Tech 1st Year Syllabus of NIT Patna.pdf (1,017.0 KB, 300 views)

Last edited by Neelurk; May 14th, 2020 at 01:09 PM.
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