Book Details

Engineering Mathematics-I (Curve tracing)

Engineering Mathematics-I (Curve tracing)

Published by uLektz

Course Code:ULZHS0050

Author:uLektz

University: General for All University

Regulation:2013

Categories:Arts and Science

Format : ico_bookePUB3 (DRM Protected)

Type :eBook

Rs.160 Rs.25 Rs.85% off

Preview Buy Now

Description :Engineering Mathematics-I (Curve tracing) of ULZHS0050 covers the latest syllabus prescribed by General for All University for regulation 2013. 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

loading