# MA5155 Applied Mathematics For Electrical Engineers SYLLABUS 2017 REGULATION

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4125 # ANNA UNIVERSITY CHENNAI CIVIL SYLLABUS 2017 REGULATION FOR MA5155 APPLIED MATHEMATICS FOR ELECTRICAL ENGINEERS SYLLABUS 2017 REGULATION MA5155 APPLIED MATHEMATICS FOR ELECTRICAL ENGINEERS SYLLABUS 2017 REGULATION

Anna University MA5155 PHYSICS FOR CIVIL ENGINEERING SYLLABUS 2017 Regulation has been revised for the Students who joined in the academic year 2017-2018. So revised syllabus for Anna University Chennai Power Electronics and Drives syllabus 2017 Regulation is given below. you can download MA5155 PHYSICS FOR CIVILME 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. MA5155 Syllabus for Regulation 2017 Students can be downloaded here.

MA5155 APPLIED MATHEMATICS FOR ELECTRICAL ENGINEERS                     L T P C
4 0 0 4
OBJECTIVES :

The main objective of this course is to demonstrate various analytical skills in applied
mathematics and extensive experience with the tactics of problem solving and logical thinking applicable for the students of electrical engineering. This course also will help the students to identify, formulate, abstract, and solve problems in electrical engineering using mathematical tools from a variety of mathematical areas, including matrix theory, calculus of variations, probability, linear programming and Fourier series.

## UNIT I MATRIX THEORY                                                12

Cholesky decomposition – Generalized Eigenvectors – Canonical basis – QR Factorization – Least squares method – Singular value decomposition.

## UNIT II CALCULUS OF VARIATIONS                           12

Concept of variation and its properties – Euler’s equation – Functional dependant on first and higher order derivatives – Functionals dependant on functions of several independent variables – Variational problems with moving boundaries – Isoperimetric problems – Direct methods : Ritz and Kantorovich methods.

## UNIT III PROBABILITY AND RANDOM VARIABLES   12

Probability – Axioms of probability – Conditional probability – Baye’s theorem – Random variables – Probability function – Moments – Moment generating functions and their properties – Binomial, Poisson, Geometric, Uniform, Exponential, Gamma and Normal distributions – Function of a random variable.

## UNIT IV LINEAR PROGRAMMING                                12

Formulation – Graphical solution – Simplex method – Big M method – Two phase method –
Transportation and Assignment models.

## UNIT V FOURIER SERIES                                             12

Fourier trigonometric series : Periodic function as power signals – Convergence of series – Even and odd function : Cosine and sine series – Non periodic function : Extension to other intervals – Power signals : Exponential Fourier series – Parseval’s theorem and power spectrum – Eigenvalue problems and orthogonal functions – Regular Sturm – Liouville systems – Generalized Fourier series.

TOTAL : 60 PERIODS

OUTCOMES :
After completing this course, students should demonstrate competency in the following skills:

• Apply various methods in matrix theory to solve system of linear equations.
• Maximizing and minimizing the functional that occur in electrical engineering discipline.
• Computation of probability and moments, standard distributions of discrete and continuous random variables and functions of a random variable.
• Could develop a fundamental understanding of linear programming models, able to
develop a linear programming model from problem description, apply the simplex method for solving linear programming problems.
• Fourier series analysis and its uses in representing the power signals.

REFERENCES :

1. Andrews L.C. and Phillips R.L., “Mathematical Techniques for Engineers and Scientists”,
Prentice Hall of India Pvt. Ltd., New Delhi, 2005.
2. Bronson, R. “Matrix Operation”, Schaum’s outline series, 2nd Edition, McGraw Hill, 2011.
3. Elsgolc, L. D. “Calculus of Variations”, Dover Publications, New York, 2007.
4. Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 8th Edition, 2015.
5. O’Neil, P.V., “Advanced Engineering Mathematics”, Thomson Asia Pvt. Ltd., Singapore, 2003.
6. Taha, H.A., “Operations Research, An Introduction”, 9th Edition, Pearson education, New
Delhi, 2016.