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13th February 2016, 02:01 PM
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Join Date: May 2012
Re: First Year B.E Syllabus Nagpur University

As you asking for the syllabus of the Applied Mathematics of the Rashtrasant Tukadoji Maharaj Nagpur University the syllabus is as follow :

Applied Mathematics

UNIT- I: Differential Calculus:
Successive Differentiation, Taylor‟s & Maclaurin‟s series for one variable, indeterminate forms, Curvature and Radius of curvature, Circle of Curvature.

UNIT- II: Partial Differentiation:
Functions of several variables, First and Higher order derivatives, Euler‟s theorem , Chain rule and total differential coefficient, Jaccobians, Taylor‟s & Maclaurin‟s series for two variables, Maxima & Minima of functions of two variables, Langrage‟s method of undetermined multipliers.

UNIT - III: Matrices
Matrix, Inverse of Matrix by adjoint method, Inverse by Partitioning method, Solution of system of linear equations, Rank of Matrix, Consistency of linear system of equations

UNIT - IV: First Order Differential Equations
First order& first degree differential equations: Linear, Reducible to linear & Exact differential equations (excluding the case of I. F.).First order& higher degree differential equationsApplication of First order& first degree differential equations to simple electrical circuits


UNIT - V: Higher Order Differential Equations
Higher order differential equations with constant coefficients, P. I. by method of Variation of parameters, Cauchy„s & Legendres‟s homogeneous differential equations, Simultaneous differential equations, Differential equations of the type .Applications of differential equations to Oscillations of a Spring, Oscillatory Electrical Circuits, Deflection of Beams.

UNIT - VI: Complex Numbers
Cartesian & Polar forms of Complex Numbers, Geometrical representation of fundamental
operations on complex numbers, De Moivre‟s theorem, Hyperbolic functions and their inverse,
Logarithm of complex number, Separation of real and imaginary parts


Rest of the Syllabus you may find from the Below attachment that is free to download


contact details :
Nagpur university
Address: Chhatrapati Shivaji Maharaj Administrative Premises, Ravindranath Tagore Marg, Nagpur, Maharashtra 440001
Phone: 0712 253 3452
Attached Files
File Type: pdf Nagpur university BE Part first syllabus.pdf (283.6 KB, 89 views)


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