Page 7 - M.E. Medical Electronics Curriculum and Syllabus - R2019

Department of BME, REC

SEMESTER I

MH19102 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS L T P C

3 2 0 4
OBJECTIVES

• To develop the ability to use the concepts of fuzzy logic for solving problems that
arrives in the field of engineering and technology.
• To study and understand theory of matrices, to decompose the matrices and to solve
system of equations.
• To formulate and construct a mathematical model using linear programming in real
life situation;
• To formulate and solve mathematical models that arise in the queueing network.

UNIT I FUZZY LOGIC 15
Classical logic – multivalued logics – fuzzy propositions – fuzzy quantifiers.

UNIT II MATRIX THEORY 15
The Cholesky decomposition - generalized eigen vectors, canonical basis - QR factorization
-least squares method - singular value decomposition.

UNIT III TESTING OF HYPOTHESES 15
Sampling distributions - type I and Type II errors – Tests based on Normal, t, chi-square and
F distributions for testing of mean, variance and proportions – tests for independence of
attributes and goodness of fit.

UNIT IV LINEAR PROGRAMMING 15
Formulation – graphical solution – simplex method – two phase method - transportation and
assignment models

UNIT V QUEUEING MODELS 15
Poisson Process – Markovian queues – single and multi-server models – Little’s formula -
machine interference model – steady state analysis – self-service queue.

TOTAL: 75 PERIODS
OUTCOMES:
On completion of the course the students will be able to
• Solve problems that arise in the field of Engineering and technology using fuzzy logic
concepts.
• Analyze and solve system of equations using the techniques of matrix decomposition
and least square sense.
• Analyze data using Testing of Hypothesis.
• Make decisions using the principles of optimality on the problems of dimensionality.
• Analyze and solve those problems that arise in the field of network theory through
Queueing models.

REFERENCES:
1. George J. Klir and Yuan, B., Fuzzy sets and fuzzy logic, Theory and applications,
Prentice Hall of India Pvt. Ltd.
2. Richard Bronson, “Matrix Operation”, Schaum’s outline series, 2nd Edition, McGraw
Hill, 2011.

R 2019 - Curriculum and Syllabus/ M.E Medical Electronics Page 7