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Book Details

Differential and Integral Calculus (Mathematics Paper-I)

Differential and Integral Calculus (Mathematics Paper-I)

Published by SIA Publishers and Distributors (P) Ltd.

Course Code : B.Sc I-I (O.U)
University : Osmania University
Regulation : 2019
Categories : Arts and Science
Format : ico_bookPDF (DRM Protected)
Type : eBook

Rs.196 Rs.69 Rs.65% off

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Description :



Partial Differentiation: Introduction-Functions of two variables-Neighbourhood of a

point (a; b) - Continuity of a Function of two variables, Continuity at a point - Limit

of a Function of two variables - Partial Derivatives - Geometrical representation of a

Function of two Variables - Homogeneous Functions.


Theorem on Total Differentials – Composite Functions – Differentiation of Composite

Functions - Implicit Functions-Equality of fxy(a; b) and fyx(a; b) -Taylor’s theorem for a

function of two Variables-Maxima and Minima of functions of two variables Lagrange’s

Method of undetermined multipliers.


Curvature and Evolutes : Introduction-Definition of Curvature - Radius of curvature –

Lenth of Arc as a fuction, Derivative or arc - Radius of curvature - Certesian equations

- Newtonian method - Centre of curvature - Chord of curvature.

Evolutes: Evolutes and Involutes-Properties of the evolutes:

Envelopes: One Parameter Family of Curves-Consider the family of straight lines -

Definition - Determination of envelope.


Lengths of Plane Curves: Introduction - Expression for the length of curves y = f(x) -

Expressions for the length of arcs x = f(y); x = f(t), y = f(t), r = f(q)

Volumes and Surfaces of Revolution: Introduction-Expression for the volume

obtained by revolving about either axis-Expression for the volume obtained by revolving

about any line- Area of the surface of the frustum of a cone-Expression for the surface

of revolution-Pappus Theorems -Surface of revolution.

Note : Differential and Integral Calculus (Mathematics Paper-I), B.Sc I-I (O.U)

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