# MA8251 ENGINEERING MATHEMATICS – II SYLLABUS 2017 REGULATION

0
524 # ANNA UNIVERSITY CHENNAI ECE SYLLABUS 2017 REGULATION FOR MA8251 ENGINEERING MATHEMATICS – II ENGINEERING SYLLABUS 2017 REGULATION MA8251 ENGINEERING MATHEMATICS – II SYLLABUS 2017 REGULATION

Anna University MA8251 ENGINEERING MATHEMATICS – II SYLLABUS 2017 Regulation has been revised for the Students who joined in the academic year 2017-2018. So revised syllabus for Anna University Chennai Electrical and electronics engineering syllabus 2017 Regulation is given below. you can download MA8251 ENGINEERING MATHEMATICS – II Regulation 2017 2nd Semester eee Syllabus from the below link. Syllabus 2017 regulation for 1st 2nd 3rd 4th 5th 6th 7th 8th Semester will be updated shortly and same can be downloaded year as soon as University announces. Anna University 1st year Syllabus Regulation 2017 is given below. MA8251 Syllabus for Regulation 2017 Students can be downloaded here.

MA8251 ENGINEERING MATHEMATICS – II                                                      L T P C
4 0 0 4
OBJECTIVES :

• This course is designed to cover topics such as Matrix Algebra, Vector Calculus, Complex
Analysis and Laplace Transform. Matrix Algebra is one of the powerful tools to handle
practical problems arising in the field of engineering. Vector calculus can be widely used for modelling the various laws of physics. The various methods of complex analysis and
Laplace transforms can be used for efficiently solving the problems that occur in various
branches of engineering disciplines.

## UNIT I MATRICES                                                          12

Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of
Eigenvalues and Eigenvectors – Cayley-Hamilton theorem – Diagonalization of matrices –
Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.

## UNIT II VECTOR CALCULUS                                        12

Gradient and directional derivative – Divergence and curl – Vector identities – Irrotational and Solenoidal vector fields – Line integral over a plane curve – Surface integral – Area of a curved surface – Volume integral – Green’s, Gauss divergence and Stoke’s theorems – Verification and application in evaluating line, surface and volume integrals.

## UNIT III ANALYTIC FUNCTIONS                                   12

Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal mapping – Mapping by functions :W=Z+C,CZ,1/Z,Z2 Bilinear transformation.

## UNIT IV COMPLEX INTEGRATION                               12

Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s and Laurent’s series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Use of circular contour and semicircular contour.

## UNIT V LAPLACE TRANSFORMS                                12

Existence conditions – Transforms of elementary functions – Transform of unit step function and unit impulse function – Basic properties – Shifting theorems -Transforms of derivatives and integrals – Initial and final value theorems – Inverse transforms – Convolution theorem –Transform of periodic functions – Application to solution of linear second order ordinary differentialequations with constant coefficients.

TOTAL: 60 PERIODS

OUTCOMES :
After successfully completing the course, the student will have a good understanding of the
following topics and their applications:

• Eigenvalues and eigenvectors, diagonalization of a matrix, Symmetric matrices, Positive
definite matrices and similar matrices.
• Gradient, divergence and curl of a vector point function and related identities.
• Evaluation of line, surface and volume integrals using Gauss, Stokes and Green’s
theorems and their verification.
• Analytic functions, conformal mapping and complex integration.
• Laplace transform and inverse transform of simple functions, properties, various related
theorems and application to differential equations with constant coefficients.

TEXT BOOKS :
1. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi,
43rd Edition, 2014.
2. Kreyszig Erwin, “Advanced Engineering Mathematics “, John Wiley and Sons,
10th Edition, New Delhi, 2016.

REFERENCES :
1. Bali N., Goyal M. and Watkins C., “Advanced Engineering Mathematics”, Firewall
Media (An imprint of Lakshmi Publications Pvt., Ltd.,), New Delhi, 7th Edition, 2009.
2. Jain R.K. and Iyengar S.R.K., “ Advanced Engineering Mathematics”, Narosa
Publications, New Delhi , 3rd Edition, 2007.
3. O’Neil, P.V. “Advanced Engineering Mathematics”, Cengage Learning India Pvt., Ltd, New
Delhi, 2007.
4. Sastry, S.S, “Engineering Mathematics”, Vol. I & II, PHI Learning Pvt. Ltd, 4th Edition, New Delhi, 2014.
5. Wylie, R.C. and Barrett, L.C., “Advanced Engineering Mathematics “Tata McGraw Hill
Education Pvt. Ltd, 6th Edition, New Delhi, 2012.