Instrumentation engineering semester 3 syllabus – The Mumbai University degree course syllabus for third semester instrumentation engineering has applied math 3 as the common subject for all branches.Another electrical branch subject is Electrical measurement and core instrumentation subject is the Transducer 1.
Instrumentation engineering semester 3 syllabus
ISC301 Applied Mathematics – III
Course objectives 1. To build the strong foundation in Mathematics of students needed
for the field of Instrumentation Engineering.
2. To provide students with mathematics fundamentals necessary to
formulate, solve and analyses complex engineering problems.
3. To prepare student to apply reasoning informed by the contextual
knowledge to engineering practice.
4. To provide opportunity for students to work as part of teams on
Course Outcomes The students will be able to –
1. Demonstrate basic knowledge of Laplace Transform.
2. Obtain the time response of systems using inverse Laplace
3. Find the Fourier series, Complex form of Fourier series, Fourier
Integral and Fourier transform of the functions.
4. Study the differential vector algebra and its properties.
5. Study vector line integral and theorems in plane and surface.
6. Check for analytical functions and find the analytical function
and study the mapping.
Details of Syllabus:
Prerequisite: Knowledge of Matrix algebra, Differentiation, Integration, Probability, and Series expansion.
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Module Contents Hrs. CO
1 Laplace Transform
Laplace Transform (LT) of Standard Functions: Definition
of Laplace transform, Condition of Existence of Laplace
transform, Laplace transform of
, ( ),cos( ),sinh( ),cosh( ), ,1 at n e Sin at at at at t (No Proof of
formulas), Heaviside unit step function, Dirac-delta function
(No Proof of formula), Laplace transform of Periodic function
(Proof of formula)
Properties of Laplace Transform: Linearity, first shifting
theorem, second shifting theorem multiplication by n
Division by t, Laplace Transform of derivatives and integrals,
change of scale, convolution theorem, Evaluation of integrals
using Laplace transform. (No proof of any property)
2 Inverse Laplace Transform: Partial fraction method, Method
of convolution, Laplace inverse by derivative
Applications of Laplace Transform: Solution of ordinary
differential equations, Solving RLC circuit differential
equation using Laplace transform of first order and second
order only (not framing of differential equation)
3 Fourier Series
Introduction: orthogonal and orthonormal set of functions,
Definition, Dirichlet’s conditions, Euler’s formulae
Fourier Series of Functions: Exponential, trigonometric
functions of any period =2L, even and odd functions, half
range sine and cosine series
Complex form of Fourier series, Fourier integral
representation, Fourier Transform and Inverse Fourier
transform of constant and Exponential function, Fourier sine
and cosine transform of Exponential, sine and cosine function
4 Vector Algebra
Scalar and Vector Product: Scalar and vector product of
and four vectors and their properties (Only introduction, No
question to be asked)
Vector Differentiation: Gradient of scalar point function,
divergence and curl of vector point function
Properties: Solenoidal and irrotational vector fields,
conservative vector field
5 Vector Integral: Line integral
Green’s theorem in a plane (Verification question can be
asked), Gauss’ divergence theorem and Stokes’ theorem (No
question on Verification to be asked)
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6 Complex Variable
Analytic Function: Necessary and sufficient conditions (No
Proof), Cauchy Reiman equation Cartesian form (No Proof)
Cauchy Reiman Equation in polar form (with Proof), Milne
Thomson Method and its application, Harmonic function,
Mapping: Conformal mapping, bilinear transformations, cross
ratio, fixed points, bilinear transformation of straight lines and
Analog Electronics 4
Course Objectives 1. To familiarize the student with basic electronic devices and circuits.
2. To provide understanding of operation of diodes, bipolar and MOS
transistors, DC biasing circuits, Transistors as switching device,
Power circuits and systems.
3. To introduce the students the basic properties of OpAmp, analysis
and design of electronic circuits using OpAmp
Course Outcomes Students will be able to
1. Explain working of Diode and Zener diode and its applications
2. Analyze, simulate, and design amplifiers using BJT biasing
techniques, frequency response.
3. Analyze circuits using MOSFET.
4. Explain power amplifiers and power supply.
5. Explain op-amp parameters
6. Design various circuits using operational amplifiers.
Details of Syllabus:
Prerequisite: Knowledge of semiconductor theory.
Module Contents Hrs. CO
P-N Junctions diode
PN Junction diode small signal model, p-n junction under
forward bias and reverse bias conditions, Rectifier Circuits,
Clipping and Clamping circuits, Zener diode and its applications.
2 Bipolar Junction Transistors (BJTs)
Physical structure and operation modes, Active region operation
of transistor, D.C. analysis of transistor circuits
Biasing the BJT: Different type of biasing circuit and their
analysis. Bias stability, Thermistor compensation, thermal
Basic BJT amplifier configuration, Transistor as a switch.
High frequency model of BJT amplifier.
Effect of positive and negative feedback, advantages of negative
feedback, Feedback Connection Type.
3 Field Effect Transistor (FET) 11 CO3
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Junction FET, its working and VI characteristic.
Enhancement-type MOSFET: structure and physical operation,
current voltage characteristics.
Depletion-type MOSFET.JFET and MOSFET as an amplifier.
Biasing in JFET and MOSFET amplifiers.
Basic JFET and MOSFET amplifier configuration: common
source,common gate and common drain types.
High frequency model of FET, Low and High frequency
response of common source amplifier.
4 Power Amplifiers
Class A large signal amplifiers, Harmonic distortion,
Transformer coupled audio power amplifier, Class B amplifier,
Class AB operation, Power BJTs, Regulated power supplies,
Series voltage regulator.
5 Operation Amplifier (Op-amps)
Ideal Op-amp. Op-amp characteristics, Op-amp feedback
6 Applications of Op-amp.
Practical op-amp circuits: inverting amplifier, non -inverting
amplifier, weighted Summation circuit, summation, subtractor,
Large signal operation of op-amps.
Instrumentation amplifier. Active filters, Op-amp as V to I and I
to V converter, logarithmic amplifiers, waveform generators,
Schmitt triggers, comparators.
Oscillators: Introduction, Condition for Oscillation, RC phase
shift, Weinbridge, Hartley, Colpitts and Crystal controlled
Contents Hrs. CO
1 Instrumentation System
Units and standards of measurement, Introduction, block
diagram, functional elements of measurement system, static and
dynamic characteristics of transducer, Measurement and
calibration systems- Requirement.
Error: definition, classification, statistical analysis of errors,
Error correction methods.
2 Sensor and Transducer: Definition, working principle, 4 CO2
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classification (active, passive, primary, secondary, mechanical,
electrical, analog, digital), selection criteria, sources of error for
parameter under measurement, transducer specifications, test
condition and operating conditions.
Resistance potentiometer: (linear and logarithmic), piezoresistive
effect, ultrasonic transducer. LVDT, RVDT (transfer
function, linearity, sensitivity, source, frequency dependence,
phase null, and signal conditioning). Selection and properties of
materials for LVDT, and general electromagnetic sensors.
Capacitance type transducers: with applications, materials for
capacitive, ultrasonic and elastic transducers.
Digital transducer: translational and rotary encoders (absolute
position and incremental position encoders), Optical and
Pneumatic transducer: flapper- nozzle transducer.
Comparative study for Displacement Transducers.
4 Temperature transducers:
Modes of heat transfer, laws of conduction, convection and
radiation, Temperature scales, classification of Temperature
Sensors, Overview of Temperature Sensor Material.
Thermometers: Classification of Thermometers, Construction
and working of glass thermometers, liquid expansion
thermometer, gas thermometer (filled system thermometer),
bimetallic thermometer, solid state temperature sensor,
Specifications of Thermometers.
Resistance temperature detector (RTD): Principle, types,
Configurations, construction and working of RTD, Material for
RTD, Signal Measurement techniques for RTD, Comparative
Response curves for RTD, 2 wire,3wire and 4 wire RTD
Element, Lead wire Compensation in RTD, self-heating effect,
Specifications, advantages, disadvantages and applications of
Thermistors: Principle, types (NTC and PTC), characteristics,
Construction and working of Thermistor, Materials,
specifications of Thermistor, applications.
Thermocouples: Principle, thermoelectric effect, Seebeck effect,
Peltier effect, laws of thermocouple, types of thermocouple with
characteristic curve, thermocouple table, Sensitivity,
constructional Features of Thermocouples., Thermo couple
specifications, electrical noise and noise reduction techniques,
cold junction Compensation method, thermopile, thermocouple
emf measurement method, Thermo well Material of construction
and its specifications.
Pyrometers: Principle, Construction and working of Radiation
and optical pyrometers and its Applications.
Comparative study for Temperature Transducers
5 Level Transducers
Need for Level Measurement, Classification of Level
Measurement Techniques. Construction and working of Dipstick,
displacer, float system, bubbler, capacitive devices for level
measurement, ultrasonic level gauge, DP cell, load cell, vibrating
type, microwave, radar, radioactive type level gauges, LASER
type transducers, fiber optic level sensors, solid level detectors,
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Intelligent level measuring instruments.
Comparative study for Level Transducers
6 Miscellaneous Transducers
Transducers for Position, speed, acceleration, vibration, sound,
humidity, and moisture measurement, Hall effect Transducer,
Optical sensors (LDR, Photo-diode, photo-transistor) leak
detector, flame detector, smoke detector and Proximity sensors.
Binary, Octal, Decimal, Hexadecimal-Number base
conversions, complements, signed Binary numbers.
Binary Arithmetic- Binary codes: Weighted, BCD, 8421, Gray
code, Excess 3 code, ASCII, Error detecting code, code
conversion from one code to another
Boolean laws,De-Morgan’s Theorem, Principle of Duality,
Boolean expression, Boolean function, Minimization of
Boolean expressions, Sum of Products (SOP), Product of
Sums (POS), Minterm, Maxterm, Karnaugh map
Minimization, Don’t care conditions.
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2. COMBINATIONAL CIRCUITS:
LOGIC GATES: AND, OR, NOT, NAND, NOR, Exclusive,
OR and Exclusive NOR, Implementations of Logic Functions
using gates, NAND, NOR implementations, Multi level gate
implementations, Multi output gate implementations.
Design of combinational circuits, Adders-Subtractors – Serial
adder/ Subtractor – Parallel adder/ Subtractor, look ahead carry
generator, BCD adder, Magnitude Comparator, Multiplexer/
Demultiplexer, encoder / decoder, parity checker, code
converters. Implementation of combinational logic using
3. SEQUENTIAL LOGIC CIRCUITS
Flip flops- SR, D and Master slave JK, T, Characteristic table
and equation, Edge triggering, Level Triggering, Realization
of one flip flop using other flip flops, Asynchronous / Ripple
counters, Synchronous counters, Modulo n counter, shift
registers, Universal shift register and its applications, Serial to
parallel and parallel to serial converter.
4. ASYNCHRONOUS SEQUENTIAL CIRCUITS
Design of fundamental mode and pulse mode circuits –
primitive state / flow table, Minimization of primitive state
table, state assignment, Excitation table, Excitation map,
cycles, Races, Hazards: Static –Dynamic, Hazards elimination.
5. MEMORY AND PROGRAMMABLE LOGIC DEVICES
Classification of memories, RAM organization, Read/Write
operation, Memory cycle, Timing waveforms, Memory
decoding, memory expansion, Static RAM Cell, Bipolar RAM
cell, MOSFET RAM cell, Dynamic RAM cell, ROM
organization, PROM / EPROM / EEPROM / EAPROM
Programmable Logic Devices –Programmable Logic Array
(PLA), Programmable Array Logic (PAL), Introduction to
Complex Programmable Logic Device (CPLD), Field
Programmable Gate Arrays (FPGA). Introduction to state
6. LOGIC FAMILIES
Basics of digital integrated circuits, basic operational
characteristics and parameters. TTL, Schottky clamped TTL,
tri-state gate ECL, IIL, MOS devices CMOS comparison of
logic families. PMOS, NMOS and E2 CMOS
Electrical networks and measurements
Contents Hrs CO
1 Networks Theorems
Analysis of networks with dependent sources: mesh analysis, nodal
analysis, super mesh and super node concept, source
transformation technique, superposition theorem, Thevenin’s
theorem, Norton’s theorem, Maximum power transfer theorem.
Solution of networks with AC sources, Analysis of coupled
circuits (self-inductance, mutual inductance, and dot convention)
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2 Time and Frequency response of circuits
Voltage/current relations for R, L, C and their equations in time
domain. Initial and final conditions, first and second order
differential equations, steady state and transient response. Analysis
of transient and steady state responses using Classical technique
3 Network Functions: poles and zeros
Network functions for one port and two port networks, driving
point and transfer functions, ladder network, general network,
poles and zeros of network functions, restrictions on Pole and zero
locations for driving point functions and Transfer functions, time
domain behavior from pole-zero plot.
Open circuit, Short circuit, transmission and hybrid parameters,
relationship between parameter sets, reciprocity and symmetry
conditions, parallel connections, parallel connection of two port
4 Fundamentals of Network Synthesis.
Causality and stability, Hurwitz polynomials, positive real
functions, synthesis of one port networks with two kinds of
elements. Properties and synthesis of L-C, R-C, R-L driving point
impedances, synthesis of R-L-C functions.
5 Analog & Digital Meters
D’Arsonaval galvanometers, PMMC and PMMI instruments.
Shunts and multipliers, Construction and working principle of:
ammeters, voltmeters, ohmmeters, power factor meter, energy
meter, Q meters, analog multimeters. Electronic Voltmeters,
Digital Voltmeter and digital multimeter. CRO, Measurement of
phase and frequency,DSO
6 Measurement of R, L, C
Measurement of medium, low and high resistance, Megger.AC
bridges, measurement of self and mutual inductances.
Measurement of capacitance. Derivations and numerical related to
Object Oriented Programming
Introduction to Object Oriented Programming
OO Concepts: Object, Class, Encapsulation, Abstraction,
Features of Java, JVM
Basic Constructs/Notions: Constants, variables and data
types, Operators and Expressions, Revision of Branching and
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2 Classes, Object and Packages
Class, Object, Method.
Constructor, Static members and methods
Passing and returning Objects
Method Overloading, Packages in Java, creating user defined
packages, access specifiers.
3 Array, String and Vector
Arrays, Strings, String Buffer, Wrapper classes, Vector
4 Inheritance and Interface
Types of Inheritance, super keyword, Method Overriding,
abstract class and abstract method, final keyword,
Implementing interfaces, extending interfaces
5 Exception Handling and Multithreading
Error vs Exception, try, catch, finally, throw, throws, creating
own exception, Thread lifecycle, Thread class methods,
6 GUI programming in JAVA
Applet: Applet life cycle, Creating applets, Graphics class
methods, Font and Color class, parameter passing.
Event Handling: Event classes and event listener
Introduction to AWT: Working with windows, Using AWT
controls- push Buttons, Label, Text Fields, Text Area, Check
Box and Radio Buttons.