**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

multi-disciplinary projects

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

transform.

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.

University of Mumbai, Instrumentation Engineering, Rev 2016-17 10

Module Contents Hrs. CO

mapping

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

t ,

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)

8 CO1

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)

5 CO2

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

12 CO3

4 Vector Algebra

Scalar and Vector Product: Scalar and vector product of

three

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

7 CO4

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)

6 CO5

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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,

orthogonal trajectories

Mapping: Conformal mapping, bilinear transformations, cross

ratio, fixed points, bilinear transformation of straight lines and

circles

## 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

mapping

1

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.

4 CO1

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

runaway.

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.

11 CO2

3 Field Effect Transistor (FET) 11 CO3

University of Mumbai, Instrumentation Engineering, Rev 2016-17 13

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.

6 CO4

5 Operation Amplifier (Op-amps)

Ideal Op-amp. Op-amp characteristics, Op-amp feedback

analysis.

4 CO5

6 Applications of Op-amp.

Practical op-amp circuits: inverting amplifier, non -inverting

amplifier, weighted Summation circuit, summation, subtractor,

integrator, differentiator.

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

oscillator.

## Transducers

Contents Hrs. CO

Mapping

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.

4 CO1

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.

3 Displacement

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

magnetic pickups.

Pneumatic transducer: flapper- nozzle transducer.

Comparative study for Displacement Transducers.

10 CO3

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

RTD.

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

12 CO4

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,

9 CO5

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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.

## DIGITAL ELECTRONICS

NUMBER SYSTEMS:

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.

08 CO1

University of Mumbai, Instrumentation Engineering, Rev 2016-17 18

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

MUX, DEMUX.

12 CO2

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.

12 CO3

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.

04 CO4

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

machine.

08 CO5

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

Mapping

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)

12 CO1

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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

06 CO2

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.

Two-Port parameters

Open circuit, Short circuit, transmission and hybrid parameters,

relationship between parameter sets, reciprocity and symmetry

conditions, parallel connections, parallel connection of two port

networks.

08 CO3

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.

08 CO4

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

08 CO5

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

all bridges.

## Object Oriented Programming

and Methodology

Introduction to Object Oriented Programming

OO Concepts: Object, Class, Encapsulation, Abstraction,

Inheritance, Polymorphism.

Features of Java, JVM

Basic Constructs/Notions: Constants, variables and data

types, Operators and Expressions, Revision of Branching and

looping

02 CO1

University of Mumbai, Instrumentation Engineering, Rev 2016-17 25

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.

05 CO2

3 Array, String and Vector

Arrays, Strings, String Buffer, Wrapper classes, Vector

04 CO3

4 Inheritance and Interface

Types of Inheritance, super keyword, Method Overriding,

abstract class and abstract method, final keyword,

Implementing interfaces, extending interfaces

03 CO4

5 Exception Handling and Multithreading

Error vs Exception, try, catch, finally, throw, throws, creating

own exception, Thread lifecycle, Thread class methods,

creatingthreads, Synchronization

04 CO5

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.

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