## Friday, November 2, 2012

### MA9330 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS SYLLABUS | ANNA UNIVERSITY ME DIGITAL COMMUNICATIONS AND NETWORKING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013

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MA9330 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS SYLLABUS | ANNA UNIVERSITY ME DIGITAL COMMUNICATIONS AND NETWORKING 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER DIGITAL COMMUNICATIONS AND NETWORKING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI,COIMBATORE), 2009 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009

MA9330 APPLIED MATHEMATICS FOR ELECTRONICS ENGINEERS L T P C
3 1 0 4
UNIT I REAL AND COMPLEX VARIABLES 9
Convergent and divergent series. Tests for convergence. Power series; interval of
convergence. McLaurin series and Taylor series. Complex power series – circle of
convergence. Euler’s formula. Power and roots of complex numbers. Analytic
functions. Contour integrals. Laurent series. Residue theorem. Method of finding
residues. Evaluation of definite integrals by residue theorem. Conformal mapping and
applications. Complex analysis applied to potential theory.
UNIT II PARTIAL DIFFERENTIATION AND MULTIPLE INTEGRALS 9
Power series in two variables. Total differential. Chain rule. Maximum and Minimum
problems. Constraints and method of Lagrange multipliers. Change of variables.
Differentiation of integrals; Leibnitz rule. Double and triple integrals. Change of order
and change of variables in integrals; Jacobian. Application of multiple integrals.
UNIT III ORDINARY DIFFERENTIAL EQUATIONS 9
First order equations. Separable equations. Exact differential equations. Integrating
factors. Equations of second and higher orders. Homogeneous equations with
constant coefficients. Non-homogeneous equations. Series solution of differential
equations. Method of Frobenius. Solution of Bessel’s equation. Bessel functions.
UNIT IV VECTOR CALCULUS 9
Rectangular, cylindrical and spherical co-ordinate system. Unit vectors. Elemental
length, area and volume. Scale factors. Representation of vectors in different coordinate
systems. Conversion from one system to the other. Differentiation of vectors.
Meaning of Line, Surface and Volume integrals. Definition of curl and divergence in
terms of Line and Surface integrals. Meaning of Stokes’ theorem and Divergence
theorem. Definition of directional derivatives and gradient for level surfaces. Green’s
theorem in the plane. Expression for curl, divergence, gradient and the Laplacian in
generalized co-ordinate system.
UNIT V PROBABILITY AND RANDOM VARIABLES 9
Data representation – average, spread. Definition of probability and probability
theorems. Methods of counting. Random variables, probability distributions. Binomial,
Gaussian and Poisson distributions. Distribution of several random variables. Random
sampling. Estimation of parameters. Confidence intervals.Χ2 test. Regression
analysis. Fitting of straight lines.
L -45 T-15 ,TOTAL -60 PERIODS
REFERENCES:
1. Boas,M.L. “ Mathematical Methods in Physical Sciences”., Wiley 2002
2. Kreyszig,E. “Advanced Engineering Mathematics”., Wiley 2001.
3. Anton, H., Bivens,I., Davis,S., “Calculus”., Wiley 2002.
4. Spiegel, “Advanced Calculus”., Schaum Series, TMH 1990.
5. Bronson,R., “ Differential Equations”., Schaum series, TMH, 2004