Home Syllabus 3rd Semester Anna Univ Syllabus for Mathematics 3 Common to all Branches R2008

Anna Univ Syllabus for Mathematics 3 Common to all Branches R2008

Anna University Syllabus for all branches:

Anna Univ Syllabus for ECE ( 3rd to 8th Sem ) on the previous post , now download syllabus for m3 . Its common to all branches like , ECE ,EEE, CSE, IT, Mechanical, Aeronautical, Civil, E&I, etc..

You may download syllabus for mathematics 3 or m3 syllabus for anna university under regulation 2008

Subject : Mathematic III or M3

Branch : Common to all Branches

Anna University Regulation 2008

 

MATHEMATICS III                                 L  T  P C (Common to all branches of BE / B.Tech Programmes)                                                                   3  1  0  4

 

AIM

To facilitate the understanding of the principles and to cultivate the art of formulating physical problems in the language of mathematics.

 

OBJECTIVES

  • To introduce  Fourier  series  analysis  which  is central  to many  applications  in engineering apart from its use in solving boundary value problems
  • To acquaint the student with Fourier transform techniques used in wide variety of situations in which the functions used are not periodic
  • To  introduce   the  effective   mathematical   tools  for  the  solutions  of  partial differential equations that model physical processes
  • To  develop  Z-  transform  techniques  which  will  perform  the  same  task  for discrete time systems as Laplace Transform, a valuable aid in analysis of continuous time systems

 

UNIT I       FOURIER SERIES                                                                                 9+3

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half-range Sine and  Cosine  series  – Complex  form of Fourier  series – Parseval’s  identity  – Harmonic Analysis.

 

UNIT II       FOURIER TRANSFORM                                                                      9+3

Fourier integral theorem – Fourier transform pair-Sine and Cosine transforms – Properties – Transform of elementary functions – Convolution theorem – Parseval’s identity.

 

UNIT III       PARTIAL DIFFERENTIAL EQUATIONS                                               9+3

Formation  –  Solutions  of  first  order  equations  –  Standard  types  and  Equations reducible  to  standard  types  –  Singular  solutions  –  Lagrange’s  Linear  equation  – Integral  surface  passing  through  a  given  curve  –  Solution  of  linear  equations  of higher order with constant coefficients.

 

UNIT IV       APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS               9+3

Method of separation of Variables – Solutions of one dimensional wave equation and one-dimensional  heat  equation  –  Steady  state  solution  of  two-dimensional  heat equation – Fourier series solutions in Cartesian coordinates.

 

UNIT VI        Z – TRANSFORM AND DIFFERENCE EQUATIONS                           9+3

Z-transform – Elementary properties – Inverse Z-transform – Convolution theorem – Initial  and  Final  value  theorems  – Formation  of difference  equation  – Solution  of difference equation using Z-transform.

 

TEXT BOOKS


L: 45, T: 15, TOTAL : 60 PERIODS

 

1. Grewal, B.S. “Higher Engineering Mathematics”, Khanna Publications (2007)

 

REFERENCES

1. Glyn James, “Advanced Modern Engineering Mathematics, Pearson Education

(2007)

2.  Ramana, B.V. “Higher Engineering Mathematics” Tata McGraw Hill (2007).

3.  Bali, N.P. and Manish Goyal, “A Text Book of Engineering 7th Edition (2007) Lakshmi Publications (P) Limited, New Delhi.

Download Anna Univ Syllabus for other semesters, subjects from the related posts below.

Anna University Syllabus for ECE 3rd Semester 

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