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Book Details

ENGINEERING MATHEMATICS

ENGINEERING MATHEMATICS

Published by uLektz

Course Code : ULZ0232
Author : uLektz
University : General for All University
Regulation : 2017
Categories : Engineering Mathematics
Format : ico_bookePUB3 (DRM Protected)
Type : eBook

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Description :ENGINEERING MATHEMATICS of ULZ0232 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

Topics
UNIT - I DIFFERENTIAL CALCULUS – I

1.1 Successive Differentiation, Leibnitz’s theorem

1.2 Limit, Continuity and Differentiability of functions of several variables

1.3 Partial derivatives

1.4 Euler’s theorem for homogeneous functions

1.5 Total derivatives, Change of variables

1.6 Curve tracing: Cartesian and Polar coordinates

UNIT - II DIFFERENTIAL CALCULUS - II

2.1 Taylor’s and Maclaurin’s Theorem, Expansion of function of several variables

2.2 Jacobian

2.3 Approximation of errors, Extrema of functions of several variables

2.4 Lagrange’s method of multipliers (Simple applications)

UNIT - III MATRIX ALGEBRA

3.1 Types of Matrices, Inverse of a matrix by elementary transformations, Rank of a matrix (Echelon & Normal form)

3.2 Linear dependence, Consistency of linear system of equations and their solution, Characteristic equation

3.3 Eigen values and Eigen vectors

3.4 Cayley-Hamilton Theorem, Diagonalization

3.5 Complex and Unitary Matrices and its properties

UNIT - IV MULTIPLE INTEGRALS

4.1 Double and triple integrals, Change of order of integration, Change of variables, Application of integration to lengths

4.2 Surface areas and Volumes – Cartesian and Polar coordinates, Beta and Gamma functions, Dirichlet’s integral and its applications

UNIT - V VECTOR CALCULUS

5.1 Point function, Gradient, Divergence, Curl of a vector and their physical interpretations, Vector identities, Tangent and Normal, Directional derivatives

5.2 Line, Surface and Volume integrals, Applications of Green’s theorem, Applications of Stokes theorem, Applications of Gauss divergence theorem

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