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UNIT-8
Difference Equations and Z-Transorms
Difference equations: Basic definition; Z-transforms – definition, standard Ztransforms,
damping rule, shifting rule, initial value and final value theorems.
Inverse Z-transform. Application of Z-transforms to solve difference
equations.
6 Hours
Note: * In the case of illustrative examples, questions are not to be set.
Text Books:
1. B.S. Grewal, Higher Engineering Mathematics, Latest edition,
Khanna Publishers.
2. Erwin Kreyszig, Advanced Engineering Mathematics, Latest
edition, Wiley Publications.
Reference Books:
1. B.V. Ramana, Higher Engineering Mathematics, Latest edition, Tata
Mc. Graw Hill Publications.
2. Peter V. O’Neil, Engineering Mathematics, CENGAGE Learning
India Pvt Ltd.Publishers.
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3.
ANALOG ELECTRONIC CIRCUITS
(Common to EC/TC/EE/IT/BM/ML)
Sub Code : 10ES32 IA Marks : 25
Hrs/ Week : 04 Exam Hours : 03
Total Hrs. : 52 Exam Marks : 100
UNIT 1:
Diode Circuits: Diode Resistance, Diode equivalent circuits, Transition and
diffusion capacitance, Reverse recovery time, Load line analysis, Rectifiers,
Clippers and clampers. 6 Hrs
UNIT 2:
Transistor Biasing: Operating point, Fixed bias circuits, Emitter stabilized
biased circuits, Voltage divider biased, DC bias with voltage feedback,
Miscellaneous bias configurations, Design operations, Transistor switching
networks, PNP transistors, Bias stabilization. 6 Hrs
UNIT 3:
Transistor at Low Frequencies: BJT transistor modeling, CE Fixed bias
configuration, Voltage divider bias, Emitter follower, CB configuration,
Collector feedback configuration, Analysis of circuits re model; analysis of
CE configuration using h- parameter model; Relationship between hparameter
model of CE,CC and CE configuration. 7 Hrs
UNIT 4:
Transistor Frequency Response: General frequency considerations, low
frequency response, Miller effect capacitance, High frequency response,
multistage frequency effects. 7 Hrs
UNIT 5:
(a) General Amplifiers: Cascade connections, Cascode connections,
Darlington connections. 3 Hrs
(b) Feedback Amplifier: Feedback concept, Feedback connections type,
Practical feedback circuits. Design procedures for the feedback amplifiers.
4 Hrs
UNIT 6:
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Power Amplifiers: Definitions and amplifier types, series fed class A
amplifier, Transformer coupled Class A amplifiers, Class B amplifier
operations, Class B amplifier circuits, Amplifier distortions. Designing of
Power amplifiers. 7 Hrs
UNIT 7:
Oscillators: Oscillator operation, Phase shift Oscillator, Wienbridge
Oscillator, Tuned Oscillator circuits, Crystal Oscillator. (BJT Version Only)
Simple design methods of Oscillators. 6 Hrs
UNIT 8:
FET Amplifiers: FET small signal model, Biasing of FET, Common drain
common gate configurations, MOSFETs, FET amplifier networks. 6 Hrs
TEXT BOOK:
1. “Electronic Devices and Circuit Theory”, Robert L. Boylestad and
Louis Nashelsky, PHI/Pearson Eduication. 9TH Edition.
REFERENCE BOOKS:
1. ‘Integrated Electronics’, Jacob Millman & Christos C. Halkias, Tata -
McGraw Hill, 2nd Edition, 2010
2. “Electronic Devices

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Fourier series
Convergence and divergence of infinite series of positive terms, definition
and illustrative examples*
Periodic functions, Dirichlet’s conditions, Fourier series of periodic functions
of period and arbitrary period, half range Fourier series. Complex form
of Fourier Series. Practical harmonic analysis.
7 Hours
UNIT-2
Fourier Transforms
Infinite Fourier transform, Fourier Sine and Cosine transforms, properties,
Inverse transforms
6 Hours
UNIT-3
Application of PDE
Various possible solutions of one dimensional wave and heat equations, two
dimensional Laplace’s equation by the method of separation of variables,
Solution of all these equations with specified boundary conditions.
D’Alembert’s solution of one dimensional wave equation.
6 Hours
UNIT-4
Curve Fitting and Optimisation
Curve fitting by the method of least squares- Fitting of curves of the form
y = ax+b, y = a x2 + b x + c, , y
bx b
y = a e = ax
Optimization: Linear programming, mathematical formulation of linear
programming problem (LPP), Graphical method and simplex method.
7 Hours
PART-B
UNIT-5
Numerical Methods - 1
Numerical Solution of algebraic and transcendental equations: Regula-falsi
method, Newton - Raphson method. Iterative methods of solution of a system
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of equations: Gauss-seidel and Relaxation methods. Largest eigen value and
the corresponding eigen vector by Rayleigh’s power method.
6 Hours
UNIT-6
Numerical Methods – 2
Finite differences: Forward and backward differences, Newton’s forward and
backward interpolation formulae. Divided differences - Newton’s divided
difference formula, Lagrange’s interpolation formula and inverse
interpolation formula.
Numerical integration: Simpson’s one-third, three-eighth and Weddle’s rules
(All formulae/rules without proof)
7 Hours
UNIT-7
Numerical Methods

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