# Mathematics-III

Course Code:R161203

Author:uLektz

University:

Regulation:2016

Categories:Mechanical

Format : ePUB3 (DRM Protected)

Type :eBook

Rs.199 Rs.30 Rs.85% off

Description :Mathematics-III of R161203 covers the latest syllabus prescribed by JNTU Kakinada for regulation 2016. 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 LINEAR SYSTEMS OF EQUATIONS

1.1 Rank-Echelon form-Normal form

1.2 Solution of linear systems

1.3 Gauss elimination,Gauss Jordon

1.4 Gauss Jacobi and Gauss Seidal methods

1.5 Applications: Finding the current in electrical circuits

###### UNIT - II EIGEN VALUES - EIGEN VECTORS AND QUADRATIC FORMS

2.1 Eigen values-Eigen vectors, Properties

2.2 Cayley-Hamilton theorem,Inverse and powers of a matrix by using Cayley-Hamilton theorem

2.3 Diagonalization

2.5 Rank-Positive, negative and semi definite-Index-Signature

2.6 Applications: Free vibration of a two-mass system

###### UNIT - III MULTIPLE INTEGRALS

3.1 Curve tracing: Cartesian, Polar and Parametric forms

3.2 Multiple integrals: Double and triple integrals

3.3 Change of variables

3.4 Change of order of integration

3.5 Applications: Finding Areas and Volumes

###### UNIT - IV SPECIAL FUNCTIONS

4.1 Beta and Gamma functions-Properties

4.2 Relation between beta and gamma functions and simple problems

4.3 Evaluation of improper integrals

4.4 Application: Evaluation of integrals

###### UNIT - V VECTOR DIFFERENTIATION

5.2 Laplacian and second order operators

5.3 Vector identities

5.4 Application: Equation of continuity,Potential surfaces

###### UNIT - VI VECTOR INTEGRATION

6.1 Line integral,Work done

6.2 Potential function

6.3 Area - surface and volume integrals

6.4 Vector integral theorems: Greens, Stokes and Gauss Divergence Theorems (Without proof) and related problems,Green’s theorem,Stoke’s theorem,Gauss's Divergence Theorem

6.5 Application: Work done, Force