Go Back   2020 2021 MBA > MBA > Main Forum




  #1  
Old 8th February 2013, 04:43 PM
Sai kirthiaq
Guest
 
Default Visvesvaraya Technological University VTU Engineering Mathematics III Syllabus

I am looking for the Visvesvaraya Technological University Engineering Mathematics 3rd semester Syllabus can you provide me this syllabus?
Reply With Quote Quick reply to this message
  #2  
Old 10th February 2013, 05:24 PM
Super Moderator
 
Join Date: May 2012
Default Re: Visvesvaraya Technological University VTU Engineering Mathematics III Syllabus

You are searching for the Visvesvaraya Technological University Engineering Mathematics 3rd semester Syllabus. Here I am providing you the syllabus of VTU Engineering Mathematics 3rd semester:

PART – A

UNIT 1:

Fourier Series
Periodic functions, Fourier expansions, Half range expansions, Complex
form of Fourier series, Practical harmonic analysis.

UNIT 2:
Fourier Transforms
Finite and Infinite Fourier transforms, Fourier sine and consine transforms,
properties. Inverse transforms.

UNIT 3:
Partial Differential Equations (P.D.E)
Formation of P.D.E Solution of non homogeneous P.D.E by direct
integration, Solution of homogeneous P.D.E involving derivative with
respect to one independent variable only (Both types with given set of
conditions) Method of separation of variables. (First and second order
equations) Solution of Lagrange’s linear P.D.E. of the type P p + Q q = R.

UNIT 4:
Applications of P.D.E
Derivation of one dimensional wave and heat equations. Various possible
solutions of these by the method of separation of variables. D’Alembert’s
solution of wave equation. Two dimensional Laplace’s equation – various
possible solutions. Solution of all these equations with specified boundary
conditions. (Boundary value problems).

PART – B

UNIT 5:

Numerical Methods
Introduction, Numerical solutions of algebraic and transcendental equations:-
Newton-Raphson and Regula-Falsi methods. Solution of linear simultaneous
equations : - Gauss elimination and Gauss Jordon methods. Gauss - Seidel
iterative method. Definition of eigen values and eigen vectors of a square
matrix. Computation of largest eigen value and the corresponding eigen
vector by Rayleigh’s power method.

UNIT 6:

Finite differences (Forward and Backward differences) Interpolation,
Newton’s forward and backward interpolation formulae. Divided differences
– Newton’s divided difference formula. Lagrange’s interpolation and inverse
interpolation formulae. Numerical differentiation using Newton’s forward
and backward interpolation formulae. Numerical Integration – Simpson’s
one third and three eighth’s value, Weddle’s rule.
(All formulae / rules without proof)

UNIT 7:
Calculus of Variations
Variation of a function and a functional Extremal of a functional, Variational
problems, Euler’s equation, Standard variational problems including
geodesics, minimal surface of revolution, hanging chain and Brachistochrone
problems.

UNIT 8:
Difference Equations and Z-transforms
Difference equations – Basic definitions. Z-transforms – Definition,
Standard Z-transforms, Linearity property, Damping rule, Shifting rule,
Initial value theorem, Final value theorem, Inverse Z-transforms.
Application of Z-transforms to solve difference equations.

Text Book:
Higher Engineering Mathematics by Dr. B.S. Grewal (36th Edition – Khanna Publishers)

Reference Books:

1. Higher Engineering Mathematics by B.V. Ramana (Tata- Macgraw Hill).
2. Advanced Modern Engineering Mathematics by Glyn James – Pearson Education.
Reply With Quote Quick reply to this message
Reply

Similar Threads
Thread Thread Starter Forum Replies Last Post
Visvesvaraya Technological University Exam Schedule Unregistered Main Forum 1 30th January 2018 03:04 PM
Visvesvaraya Technological University Bachelor Of Engineering Syllabus Unregistered Main Forum 1 22nd December 2016 02:28 PM
Visvesvaraya Technological University (To)(Uni.) Mysore Unregistered Main Forum 1 11th November 2016 09:57 AM
Visvesvaraya Technological University Location Unregistered Main Forum 1 10th November 2016 09:50 AM
VTU Visvesvaraya Technological University Unregistered Main Forum 1 9th November 2016 08:49 AM
Visvesvaraya Technological University(MBA) Bangalore Unregistered Main Forum 1 8th November 2016 09:02 AM
Visvesvaraya technological university(t.o)(univ.)(mba) bangalore Unregistered Main Forum 1 25th October 2016 06:46 PM
Visvesvaraya Technological University MBA syllabus Unregistered Main Forum 1 24th October 2016 04:25 PM
Visvesvaraya Technological University In Bangalore Unregistered Main Forum 1 22nd October 2016 05:47 PM
Visvesvaraya Technological University Bachelor Engineering Syllabus Unregistered Main Forum 1 21st October 2016 08:54 AM
Visvesvaraya Technological University Recruitment Unregistered Main Forum 1 20th October 2016 05:54 PM
WWW.Visvesvaraya Technological University Unregistered Main Forum 1 17th October 2016 05:48 PM
Visvesvaraya Technological University Cut Off Unregistered Main Forum 1 14th October 2016 06:16 PM
WWW.Visvesvaraya Technological University Unregistered Main Forum 1 8th October 2016 12:49 PM
Visvesvaraya Technological University AIT Chikmagalur Unregistered Main Forum 1 7th October 2016 12:51 PM
Visvesvaraya technological university transcripts Unregistered Main Forum 1 7th October 2016 12:10 PM
Visvesvaraya Technological University Admission kajalvikassvnit Main Forum 1 22nd January 2013 10:58 AM
Visvesvaraya technological university BE syllabus anilji Main Forum 1 21st January 2013 12:51 PM
Visvesvaraya Technological University Belgaum Certificate sksingh.indian.h Main Forum 2 1st November 2012 09:23 AM
Visvesvaraya Technological University VTU PGCET Subodh Dixit.K Main Forum 1 16th October 2012 09:43 AM


Quick Reply
Your Username: Click here to log in

Message:
Options

Thread Tools Search this Thread



All times are GMT +5.5. The time now is 01:48 AM.


Powered by vBulletin® Version 3.8.7
Copyright ©2000 - 2020, vBulletin Solutions, Inc.
Search Engine Friendly URLs by vBSEO 3.6.0 PL2

1 2