MA9313 APPLIED MATHEMATICS FOR AVIONICS ENGINEERS SYLLABUS | ANNA UNIVERSITY ME AVIONICS 1ST SEM SYLLABUS REGULATION 2009 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY FIRST SEMESTER M.E AVIONICS 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
MA9313 APPLIED MATHEMATICS FOR AVIONICS ENGINEERS L T P C
3 1 0 4
AIM:
To make available the advanced concepts of Engineering Mathematics to the engineers and
to provide the necessary mathematical skills that are needed in modeling physical processes.
OBJECTIVES:
The students will have an exposure on various topics such as Nonlinear Ordinary Differential
Equation, Calculus of Variations, Matrix Theory, Graphs, Paths and Cycles and Random
Processes and will be able to deploy these skills effectively in the solution of problems in
avionics engineering.
UNIT I NONLINEAR ORDINARY DIFFERENTIAL EQUATION 12
Introduction – Equations reducible to linear form – Bernoulli’s equation – Riccati’s equation –
Special forms of Riccati’s equation – The Lane - Emden equation – The nonlinear Pendulum –
Duffing equation.
UNIT II CALCULAS OF VARIATIONS 12
Introduction – Euler’s equation – Lagrange’s equations of Dynamics – Integrals involving
higher order derivatives – Problems with constraints – Direct methods and Eigen value
problems.
UNIT III MATRIX THEORY 12
Special vectors and matrices – Matrix inversion lemma – The Cholesky decomposition –
Singular value decomposition
UNIT IV GRAPS, PATHS AND CYCLES 12
Graphs – Sub graphs – Complements – Graph isomorphism – Vertex degree – Eulerian
graphs – Planar graphs – Hamiltonian graphs.
UNIT V RANDOM PROCESSES 12
Classification – Stationary random processes – Markov process – Auto correlation and Cross
correlation functions.
TOTAL: 60 PERIODS
TEXT BOOKS:
1. Stephenson.G, Radmore.P.M. “Advanced Mathematical Methods for Engineering and
Science students”, Cambridge University Press 1999.
2. Kreyszig.E, “Advaned Engineering Mathematics”, John Wiley, 9th Edition, 2006.
3. Boyce & DiPrima, with ODE Architect CD, 8th Edition, 2005.
REFERENCES:
1. Jain.M.K. Iyengar.S.R.K. And Jain.R.K. “Numerical Methods for Scientific & Engineering
Computation”, Wiley Eastern Ltd., 1987.
2. Bronson.R. Matrix Operations, “Schaum’s outline series”, Mc Graw Hill, New York, 1989.
MA9313 APPLIED MATHEMATICS FOR AVIONICS ENGINEERS L T P C
3 1 0 4
AIM:
To make available the advanced concepts of Engineering Mathematics to the engineers and
to provide the necessary mathematical skills that are needed in modeling physical processes.
OBJECTIVES:
The students will have an exposure on various topics such as Nonlinear Ordinary Differential
Equation, Calculus of Variations, Matrix Theory, Graphs, Paths and Cycles and Random
Processes and will be able to deploy these skills effectively in the solution of problems in
avionics engineering.
UNIT I NONLINEAR ORDINARY DIFFERENTIAL EQUATION 12
Introduction – Equations reducible to linear form – Bernoulli’s equation – Riccati’s equation –
Special forms of Riccati’s equation – The Lane - Emden equation – The nonlinear Pendulum –
Duffing equation.
UNIT II CALCULAS OF VARIATIONS 12
Introduction – Euler’s equation – Lagrange’s equations of Dynamics – Integrals involving
higher order derivatives – Problems with constraints – Direct methods and Eigen value
problems.
UNIT III MATRIX THEORY 12
Special vectors and matrices – Matrix inversion lemma – The Cholesky decomposition –
Singular value decomposition
UNIT IV GRAPS, PATHS AND CYCLES 12
Graphs – Sub graphs – Complements – Graph isomorphism – Vertex degree – Eulerian
graphs – Planar graphs – Hamiltonian graphs.
UNIT V RANDOM PROCESSES 12
Classification – Stationary random processes – Markov process – Auto correlation and Cross
correlation functions.
TOTAL: 60 PERIODS
TEXT BOOKS:
1. Stephenson.G, Radmore.P.M. “Advanced Mathematical Methods for Engineering and
Science students”, Cambridge University Press 1999.
2. Kreyszig.E, “Advaned Engineering Mathematics”, John Wiley, 9th Edition, 2006.
3. Boyce & DiPrima, with ODE Architect CD, 8th Edition, 2005.
REFERENCES:
1. Jain.M.K. Iyengar.S.R.K. And Jain.R.K. “Numerical Methods for Scientific & Engineering
Computation”, Wiley Eastern Ltd., 1987.
2. Bronson.R. Matrix Operations, “Schaum’s outline series”, Mc Graw Hill, New York, 1989.
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