Part A
Familiarisation
1. Study of Operating systems like DOS, Windows, Linux etc; Commands for
use of files and directories, internal commands, external commands etc.
2. Familiarisation with word processing packages like MS Word, PageMaker
etc.
3. Familiarisation with spread sheet packages like MS Excel.
Part B
Programming Experiments in C
Programming experience in C to cover control structures, functions, arrays,
structures, pointers and files in accordance with syllabus of E 405.
1. Summation of series
2. Preparation of Conversion tables
3. Solution of quadratic equations
4. Array manipulation
5. Functions
6. Recursive functions
7. String manipulation – compare, copy, reverse operations
8. Matrix operations
9. Stack operations and simple programs using linked lists
10. Tabulation of marks and declaration of results – input and output using files
11. Creation of numeric and text files, merging and appending of files.
Part C
Application of numerical methods
1. Solution of algebraic and transcendental equations: bisections, Newton- Raphson method.
2. Numerical Integration – Simpson’s 1/3rd rule.
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Custom Search
Showing posts with label EEE-4. Show all posts
Showing posts with label EEE-4. Show all posts
Sem 4 - ELECTRICAL MEASUREMENTS LAB
1. Extension of instrument range by using
a. Shunt and multipliers
b. Instrument transformers
2. Measurement of 3-phase power using
a. Single watt meter
b. Two watt meters
c. Three-phase watt meter
3. Calibration of flux meter using
a. Standard solenoid
b. Hibbertz magnetic standard
4. Determination of BH characteristics
5. Hysterisis loop using CRO
6. Separation of core losses in a given magnetic specimen
7. (a) Study of Multi meter
(b) Measurement of R, L, C using LCR Bridge
8. Measurement of resistance using
a. Wheatstone Bridge
b. Kelvin’s Double bridge
c. Voltmeter and Ammeter – calculation of error due to voltmeter
resistance
9. Calibration of ammeter, voltmeter and wattmeter and measurement o resistance using
a. Simple slide-wire potentiometer
b. Vernier Potentiometer
c. Precision slide-wire potentiometer
10. Calibration of ammeter, voltmeter, wattmeter and measurement o impedance using A.C Potentiometer
11. Measurement of self inductance, mutual inductance and coupling coefficient.
12. Calibration of single-phase Energy meter by
a. Direct loading
b. Phantom loading with and without using phase shifting transformer
13. Calibration of three-phase Energy meter by
a. Direct loading
b. Phantom loading
14. Efficiency measurement of Lamps using Lux meter
15. Measurement of displacement using LVDT
16. Measurement of different parameters using Trivectormeter
mg university B.tech Syllabus S3 Electrical and Electronics EEE
a. Shunt and multipliers
b. Instrument transformers
2. Measurement of 3-phase power using
a. Single watt meter
b. Two watt meters
c. Three-phase watt meter
3. Calibration of flux meter using
a. Standard solenoid
b. Hibbertz magnetic standard
4. Determination of BH characteristics
5. Hysterisis loop using CRO
6. Separation of core losses in a given magnetic specimen
7. (a) Study of Multi meter
(b) Measurement of R, L, C using LCR Bridge
8. Measurement of resistance using
a. Wheatstone Bridge
b. Kelvin’s Double bridge
c. Voltmeter and Ammeter – calculation of error due to voltmeter
resistance
9. Calibration of ammeter, voltmeter and wattmeter and measurement o resistance using
a. Simple slide-wire potentiometer
b. Vernier Potentiometer
c. Precision slide-wire potentiometer
10. Calibration of ammeter, voltmeter, wattmeter and measurement o impedance using A.C Potentiometer
11. Measurement of self inductance, mutual inductance and coupling coefficient.
12. Calibration of single-phase Energy meter by
a. Direct loading
b. Phantom loading with and without using phase shifting transformer
13. Calibration of three-phase Energy meter by
a. Direct loading
b. Phantom loading
14. Efficiency measurement of Lamps using Lux meter
15. Measurement of displacement using LVDT
16. Measurement of different parameters using Trivectormeter
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Sem 4 - ELECTRICAL AND ELECTRONIC INSTRUMENTS
Module 1
Principle of measuring instruments: Classification – indicating, recording and integrating instruments – Torque acting on the moving system – deflecting torque – methods of production – controlling torque – spring and gravity control – damping torque – electromagnetic and air friction damping.
Constructional features of instruments – torque to weight ratio of the moving system – basic theory of instruments – characteristics – damping coefficient – under damped – over damped and critically damped and critically damped instruments.
Module 2
Permanent magnet moving coil instruments: – Ammeters and Voltmeters – Torque relationship – Milliammeters and voltmeters – shunt and multipliers – sensitivity – multimeters.
Moving iron instruments: Attraction and Repulsion types – constructional features – Ammeters and Voltmeters – Errors and Compensation.
Module 3
Electrodynamometer instruments: Ammeters, Voltmeters and Watt meters – Sensitivity – Torque to weight ratio – methods of connection of current and potential coils- Errors and compensation – low power factor wattmeters – single phase wattmeters.
Induction type instruments: Wattmeters and energy meters – single phase and three phase – constructional features – Theory of operation – Errors and compensation – creep – maximum demand meters – Trivector meters.
Module 4
Rectifier Instruments: Principle of operation – Electrostatic instruments – voltmeters – characteristics, applications.
Electronic voltmeters – basic DC voltmeters – basic AC voltmeter using rectifier – basic electronic multi meter – function generator – RLC meter.
Cathode ray Oscilloscope: Principle – Application – Measurement of Voltage, current, phase and frequency. Multi-channel oscilloscopes – principle of operation and uses.
Module 5
Instruments for phase, frequency, speed, stroboscopic methods – Resonance frequency meters – Power factor meters – Synchroscope – phase sequence indicators.
Symbols for instruments – Indian standards specifications Grading of Instruments – Classification.
References
Electrical Measurements and Measuring Instruments – Golding E.W, Wheeler and Co., 1991.
Electrical and Electronic Instrumentation and Measurements – Sawhney A.K, Dhanpat Rai and Co., 1992.
Modern Electronic Instrumentation and measurement Technique – Albert D. Helfrick and William D. Cooper, PHI, 1992.
Principle of measuring instruments: Classification – indicating, recording and integrating instruments – Torque acting on the moving system – deflecting torque – methods of production – controlling torque – spring and gravity control – damping torque – electromagnetic and air friction damping.
Constructional features of instruments – torque to weight ratio of the moving system – basic theory of instruments – characteristics – damping coefficient – under damped – over damped and critically damped and critically damped instruments.
Module 2
Permanent magnet moving coil instruments: – Ammeters and Voltmeters – Torque relationship – Milliammeters and voltmeters – shunt and multipliers – sensitivity – multimeters.
Moving iron instruments: Attraction and Repulsion types – constructional features – Ammeters and Voltmeters – Errors and Compensation.
Module 3
Electrodynamometer instruments: Ammeters, Voltmeters and Watt meters – Sensitivity – Torque to weight ratio – methods of connection of current and potential coils- Errors and compensation – low power factor wattmeters – single phase wattmeters.
Induction type instruments: Wattmeters and energy meters – single phase and three phase – constructional features – Theory of operation – Errors and compensation – creep – maximum demand meters – Trivector meters.
Module 4
Rectifier Instruments: Principle of operation – Electrostatic instruments – voltmeters – characteristics, applications.
Electronic voltmeters – basic DC voltmeters – basic AC voltmeter using rectifier – basic electronic multi meter – function generator – RLC meter.
Cathode ray Oscilloscope: Principle – Application – Measurement of Voltage, current, phase and frequency. Multi-channel oscilloscopes – principle of operation and uses.
Module 5
Instruments for phase, frequency, speed, stroboscopic methods – Resonance frequency meters – Power factor meters – Synchroscope – phase sequence indicators.
Symbols for instruments – Indian standards specifications Grading of Instruments – Classification.
References
Electrical Measurements and Measuring Instruments – Golding E.W, Wheeler and Co., 1991.
Electrical and Electronic Instrumentation and Measurements – Sawhney A.K, Dhanpat Rai and Co., 1992.
Modern Electronic Instrumentation and measurement Technique – Albert D. Helfrick and William D. Cooper, PHI, 1992.
Sem 4 - COMPUTER PROGRAMMING
Module 1
Introduction to C: The C character set – identifiers and keywords – data types – user defined data types – constants and variables – declarations – operators – expressions – statements – library input-output functions
Control statements: if, if-else, switch, goto statements – conditional and comma operators.
Module 2
Iterative statements: ‘while’, ‘do-while’, ‘for’ statements – nested loops, break and continue statements.
Functions: Declarations, definition and access – passing arguments to a function – pass by value and pass by reference – recursion.
Storage classes: automatic variables – external variables – register variables – scope and life time of variables.
Module 3
Arrays: single dimensional arrays – multidimensional arrays – definition – initializing arrays- passing arrays to a function – matrix operations – addition, transpose and multiplication.
Strings: Definition – string handling functions – comparison, concatenation and sorting of strings.
Module 4
Pointers: Introduction – pointer declaration – operations on pointers.
Files: File pointers – data files: opening and closing – reading and writing.
Module 5
Structures and union: definition – initialization – accessing structure members – array of structures – passing structure to a function – sorting of structures – binary files – reading and writing of data blocks – union.
Dynamic memory allocation – self referential structures – basic concepts of linked lists – adding and deleting nodes – command line arguments – macros – C preprocessor.
References
Theory and Problems of Programming with C: B.S. Gotterfield, TMH
Programming in ANSI C: Balaguruswamy, TMH
Programming with ANSI & Turbo C: Ashok Kamthane, Pearson Education Asia
The Spirit of C, An Introduction to modern programming: Mullish & Cooper, Jaico Publishing Co.
Programming in C: Stephen G. Kochan, CBS Publ.
Computer Programming in C: V. Rajaraman, PHI EEE
The Official Borland Turbo C Survival Guide: Miller & Quilci, Wiley Eastern
Programming Techniques through C: M. G Venkateshmurthy, Pearson Education
Let us C: Yashwant Kanetkar, BPB publ.
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Introduction to C: The C character set – identifiers and keywords – data types – user defined data types – constants and variables – declarations – operators – expressions – statements – library input-output functions
Control statements: if, if-else, switch, goto statements – conditional and comma operators.
Module 2
Iterative statements: ‘while’, ‘do-while’, ‘for’ statements – nested loops, break and continue statements.
Functions: Declarations, definition and access – passing arguments to a function – pass by value and pass by reference – recursion.
Storage classes: automatic variables – external variables – register variables – scope and life time of variables.
Module 3
Arrays: single dimensional arrays – multidimensional arrays – definition – initializing arrays- passing arrays to a function – matrix operations – addition, transpose and multiplication.
Strings: Definition – string handling functions – comparison, concatenation and sorting of strings.
Module 4
Pointers: Introduction – pointer declaration – operations on pointers.
Files: File pointers – data files: opening and closing – reading and writing.
Module 5
Structures and union: definition – initialization – accessing structure members – array of structures – passing structure to a function – sorting of structures – binary files – reading and writing of data blocks – union.
Dynamic memory allocation – self referential structures – basic concepts of linked lists – adding and deleting nodes – command line arguments – macros – C preprocessor.
References
Theory and Problems of Programming with C: B.S. Gotterfield, TMH
Programming in ANSI C: Balaguruswamy, TMH
Programming with ANSI & Turbo C: Ashok Kamthane, Pearson Education Asia
The Spirit of C, An Introduction to modern programming: Mullish & Cooper, Jaico Publishing Co.
Programming in C: Stephen G. Kochan, CBS Publ.
Computer Programming in C: V. Rajaraman, PHI EEE
The Official Borland Turbo C Survival Guide: Miller & Quilci, Wiley Eastern
Programming Techniques through C: M. G Venkateshmurthy, Pearson Education
Let us C: Yashwant Kanetkar, BPB publ.
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Sem 4 - ELECTRICAL MACHINES - I
Module 1
D.C Machines: Generation of D.C – Action of Commutator – constructional details of D.C machine – magnetic circuit of D.C machines – D.C Armature windings – Induced emf – emf equation – torque developed in a D.C machine – generator and motor action – back emf – Armature mmf – magnitude and direction – Air-gap flux distribution curve on load – effect of saturation – Demagnetising and cross – magnetising armature mmf – variation with brush position – compensating winding – Commutation – time of commutation – emf in coil undergoing commutation – reactance emf – effect of brush shift – inter-poles.
Module 2
D.C Generator: Types of excitation – separately excited – self excited shunt, series and compound machines. OCC – Condition for self excitation – field critical resistance – critical speed – Load characteristics of generators – Load critical resistance – parallel operation of shunt, series and compound generators – equalizer connection – Losses – power flow diagram – efficiency - condition for maximum efficiency – applications – special machines – welding generator – Boosters.
Module 3
D.C Motors: Performance characteristics of shunt, series and compound wound motors – starting – 3-point and 4-point starters – Calculation of resistance elements for shunt motor starters – methods of speed control of shunt, series and compound wound motors – effect of an open field circuit – power flow diagram – efficiency – testing D.C machine – Swineburne’s test – Hopkinson’s test – Field’s test – Retardation test.
Module 4
Transformers: Single phase transformer – Constructional details – Core – windings – Insulation – principle of operation – Inrush of switching currents – emf equation – magnetising current and core losses – no-load and load operation – Phasor diagram – equivalent circuit – losses and efficiency – condition for maximum efficiency – voltage regulation – approximate expression for voltage regulation – harmonics in single phase transformers - Magnetising current wave form – OC and SC tests – Sumpner’s test.
Module 5
Three phase Transformer: Constructional features of three phase transformers – three phase connection of single phase transformers – oscillating neutral – tertiary winding – Scott connection – open delta connection – three phase to six phase connection – equal and unequal turns ratio – load sharing – distribution transformers – all day efficiency. Autotransformers – saving of copper – applications - tap-changing transformers - cooling of transformers.
References
The performance and Design of Direct Current Machines: A. E. Clayton and N. N Hannock
AC Machines: M.G. Say
Theory of Alternating Current Machinery: Alexander Langsdorf, TMH
Electrical Machines: R.K Rajput
mg university B.tech Syllabus S3 Electrical and Electronics EEE
D.C Machines: Generation of D.C – Action of Commutator – constructional details of D.C machine – magnetic circuit of D.C machines – D.C Armature windings – Induced emf – emf equation – torque developed in a D.C machine – generator and motor action – back emf – Armature mmf – magnitude and direction – Air-gap flux distribution curve on load – effect of saturation – Demagnetising and cross – magnetising armature mmf – variation with brush position – compensating winding – Commutation – time of commutation – emf in coil undergoing commutation – reactance emf – effect of brush shift – inter-poles.
Module 2
D.C Generator: Types of excitation – separately excited – self excited shunt, series and compound machines. OCC – Condition for self excitation – field critical resistance – critical speed – Load characteristics of generators – Load critical resistance – parallel operation of shunt, series and compound generators – equalizer connection – Losses – power flow diagram – efficiency - condition for maximum efficiency – applications – special machines – welding generator – Boosters.
Module 3
D.C Motors: Performance characteristics of shunt, series and compound wound motors – starting – 3-point and 4-point starters – Calculation of resistance elements for shunt motor starters – methods of speed control of shunt, series and compound wound motors – effect of an open field circuit – power flow diagram – efficiency – testing D.C machine – Swineburne’s test – Hopkinson’s test – Field’s test – Retardation test.
Module 4
Transformers: Single phase transformer – Constructional details – Core – windings – Insulation – principle of operation – Inrush of switching currents – emf equation – magnetising current and core losses – no-load and load operation – Phasor diagram – equivalent circuit – losses and efficiency – condition for maximum efficiency – voltage regulation – approximate expression for voltage regulation – harmonics in single phase transformers - Magnetising current wave form – OC and SC tests – Sumpner’s test.
Module 5
Three phase Transformer: Constructional features of three phase transformers – three phase connection of single phase transformers – oscillating neutral – tertiary winding – Scott connection – open delta connection – three phase to six phase connection – equal and unequal turns ratio – load sharing – distribution transformers – all day efficiency. Autotransformers – saving of copper – applications - tap-changing transformers - cooling of transformers.
References
The performance and Design of Direct Current Machines: A. E. Clayton and N. N Hannock
AC Machines: M.G. Say
Theory of Alternating Current Machinery: Alexander Langsdorf, TMH
Electrical Machines: R.K Rajput
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Sem 4 - ELECTRONIC CIRCUITS
Module 1
Transistor Characteristics: CE, CB, CC Configurations – Biasing – Operating Point – Operating point instability – thermal runaway – bias stability – Stability factor – stabilization techniques – Fixed bias – Collector to Base bias – Emitter bias – Voltage divider bias – Stability against variation in ICO.
FET: Principle of operation and characteristics – biasing FETs – self bias – FET amplifier.
UJT: Principle of operation and characteristics.
Module 2
Small Signal Analysis: h-parameter equivalent circuit of a BJT – comparison of CB, CE, and CC configurations – Determination of h – parameters from static characteristics – current and voltage gains, input impedance of a basic amplifier in h-parameters.
Multi-stage Amplifiers: RC coupling – Frequency response characteristics – bandwidth – cascading of amplifiers – gain and bandwidth.
Module 3
Feedback amplifiers: Positive and Negative feedback – types of negative feedback – Typical circuits –effect of negative feedback in amplifier performance.
Oscillators: Barkhausen criterion – classification of oscillators – Principle of operation of RC phase-shift, Hartley and crystal oscillators (analysis not required).
Module 4
Multi-vibrators: Principle of Operation and design of astable multi-vibrators – principle of bi-stable and mono-stable multi-vibrators – circuits.
Sweep generators: Principle of Sweep generation – basic transistor sweep circuit – Equation for sweep amplitude. Sweep generation using UJT relaxation oscillator circuit.
Wave shaping: Clipping and Clamping circuits using diodes – RC differentiating and Integrating Circuits.
Module 5
Power Amplifiers: Class A, B, AB and C operation – Efficiency of Class A and B – Push-pull amplifier – Complimentary Symmetry amplifiers.
References
Integrated Electronics: Millman and Halkias, TMH
Electronic Devices and Circuit Theory: Robert L. Boylestad and Louis Nashelsky, Pearson Education Asia, LPE.
Electronic Principles: Albert Paul Malvino, TMH
Electronic Devices and Circuits, An Introduction: Allen Mottershead, PHI
Transistor Characteristics: CE, CB, CC Configurations – Biasing – Operating Point – Operating point instability – thermal runaway – bias stability – Stability factor – stabilization techniques – Fixed bias – Collector to Base bias – Emitter bias – Voltage divider bias – Stability against variation in ICO.
FET: Principle of operation and characteristics – biasing FETs – self bias – FET amplifier.
UJT: Principle of operation and characteristics.
Module 2
Small Signal Analysis: h-parameter equivalent circuit of a BJT – comparison of CB, CE, and CC configurations – Determination of h – parameters from static characteristics – current and voltage gains, input impedance of a basic amplifier in h-parameters.
Multi-stage Amplifiers: RC coupling – Frequency response characteristics – bandwidth – cascading of amplifiers – gain and bandwidth.
Module 3
Feedback amplifiers: Positive and Negative feedback – types of negative feedback – Typical circuits –effect of negative feedback in amplifier performance.
Oscillators: Barkhausen criterion – classification of oscillators – Principle of operation of RC phase-shift, Hartley and crystal oscillators (analysis not required).
Module 4
Multi-vibrators: Principle of Operation and design of astable multi-vibrators – principle of bi-stable and mono-stable multi-vibrators – circuits.
Sweep generators: Principle of Sweep generation – basic transistor sweep circuit – Equation for sweep amplitude. Sweep generation using UJT relaxation oscillator circuit.
Wave shaping: Clipping and Clamping circuits using diodes – RC differentiating and Integrating Circuits.
Module 5
Power Amplifiers: Class A, B, AB and C operation – Efficiency of Class A and B – Push-pull amplifier – Complimentary Symmetry amplifiers.
References
Integrated Electronics: Millman and Halkias, TMH
Electronic Devices and Circuit Theory: Robert L. Boylestad and Louis Nashelsky, Pearson Education Asia, LPE.
Electronic Principles: Albert Paul Malvino, TMH
Electronic Devices and Circuits, An Introduction: Allen Mottershead, PHI
Sem 4 - NETWORK ANAYSIS AND SYNTHESIS
Module 1
Laplace transforms: Properties of Laplace Transforms – basic theorems – Laplace transform of gate function, impulse function and periodic functions – convolution integral – inverse Laplace transform – application of Laplace transforms to solution of Network problems.
Module 2
Fourier series: Evaluation of Fourier coefficients – wave form symmetries as related to Fourier coefficients – exponential form of Fourier series – steady state response to periodic signals.
Fourier Integral: Spectrum envelop for a recurring pulse – the Fourier Integral and Transforms – Application in Network analysis.
Module 3
Network Functions: Network functions for two port – poles and zeroes of network functions – restrictions on poles and zeroes for driving point functions and transfer functions. Two port parameters – short circuit admittance parameter – open circuit impedance parameters – Transmission parameters – Image parameters and Hybrid parameters. Ideal two port devices – ideal transformer – Gyrator – negative impedance converter.
Module 4
Filters: Classification of filters – Characteristics of ideal filters – Image impedance – Constant K low-pass, high-pass, and band-pass filters – m-derived low-pass, high-pass and band-pass filters.
Module 5
Network Synthesis: Realizability concept – Hurwitz property – positive realness – properties of positive real functions – Synthesis of R-L, R-C and L-C driving point functions – Foster and Cauer forms.
References
Network Analysis: M.E Van Valkenburg
Circuits and Networks – Analysis and Synthesis: A. Sudhakar and S.P Shyam Mohan
Networks and Systems: D. Roy Choudhary
Network Analysis and Synthesis: Franklin F. Kuo – John Wiley & Sons
Engineering Circuit Analysis: W.H. Hayt and J.E. Kemmerly – Mc-Graw Hill.
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Laplace transforms: Properties of Laplace Transforms – basic theorems – Laplace transform of gate function, impulse function and periodic functions – convolution integral – inverse Laplace transform – application of Laplace transforms to solution of Network problems.
Module 2
Fourier series: Evaluation of Fourier coefficients – wave form symmetries as related to Fourier coefficients – exponential form of Fourier series – steady state response to periodic signals.
Fourier Integral: Spectrum envelop for a recurring pulse – the Fourier Integral and Transforms – Application in Network analysis.
Module 3
Network Functions: Network functions for two port – poles and zeroes of network functions – restrictions on poles and zeroes for driving point functions and transfer functions. Two port parameters – short circuit admittance parameter – open circuit impedance parameters – Transmission parameters – Image parameters and Hybrid parameters. Ideal two port devices – ideal transformer – Gyrator – negative impedance converter.
Module 4
Filters: Classification of filters – Characteristics of ideal filters – Image impedance – Constant K low-pass, high-pass, and band-pass filters – m-derived low-pass, high-pass and band-pass filters.
Module 5
Network Synthesis: Realizability concept – Hurwitz property – positive realness – properties of positive real functions – Synthesis of R-L, R-C and L-C driving point functions – Foster and Cauer forms.
References
Network Analysis: M.E Van Valkenburg
Circuits and Networks – Analysis and Synthesis: A. Sudhakar and S.P Shyam Mohan
Networks and Systems: D. Roy Choudhary
Network Analysis and Synthesis: Franklin F. Kuo – John Wiley & Sons
Engineering Circuit Analysis: W.H. Hayt and J.E. Kemmerly – Mc-Graw Hill.
mg university B.tech Syllabus S3 Electrical and Electronics EEE
Sem 4 - ENGINEERING MATHEMATICS - III
Module 1
Ordinary Differential Equations: Linear Differential Equations with constant
coefficients – Finding P.I by the method of variation of parameters – Cauchy’s
equations – Linear Simultaneous equations – simple applications in engineering
problems.
Module 2
Partial Differential Equations: Formation by eliminating arbitrary constants and
arbitrary functions – solution of Lagrange’s Linear equations – Charpit’s method –
solution of homogeneous linear partial differential equation – equation with
constant coefficients - solution of one dimensional wave equation and heat
equation using method of separation of variables – Fourier solution of one
dimensional wave equation.
Module 3
Fourier Transforms: Statement of Fourier Integral Theorems – Fourier transforms –
Fourier sine and cosine transforms – inverse transforms – transforms of
derivatives – Convolution Theorem (no proof) – Parseval’s identity – simple
problems.
Module 4
Probability and Statistics: Binomial law of probability – The binomial distribution,
its mean and variance – Poisson distribution as a limiting case of binomial
distribution – its mean and variance – fitting of binomial and Poisson distributions
http://mgusyllabus.blogspot.com/
– normal distribution – properties of normal curve – standard normal curve –
simple problems in binomial, Poisson and normal distributions.
Module 5
Population and samples: Sampling distribution of mean ( known) – sampling
distribution of variance, F and Chi square test – Level of significance – Type 1 and
Type 2 errors – Test of hypothesis – Test of significance for large samples – test of
significance for single proportion, difference proportion, single mean and
difference of mean (proof of theorems not expected).
References
1. Higher Engg. Mathematics: Grawal B. S, Khanna Publ.
2. Engineering Mathematics Vol.2: M. K Venkataraman, National Publishing
Co.
3. Elements of Partial Differential Equations: Ian N. Sneddon, Mc Graw Hill Intl’
4. Miller and Fread’s Probability and Statistics for Engineers: Richard A.
Johnson, Pearson education/ PHI.
5. A Text Book of Engg. Mathematics, Vol.2: Bali and Iyengar, Lakshmi Publ. Ltd.
6. Advanced Engg. Mathematics: Erwin Kreyszig, Wiley Eastern.
7. Probability and Statistical Inferences: Hogg and Tam’s, Pearson Education Asia.
Ordinary Differential Equations: Linear Differential Equations with constant
coefficients – Finding P.I by the method of variation of parameters – Cauchy’s
equations – Linear Simultaneous equations – simple applications in engineering
problems.
Module 2
Partial Differential Equations: Formation by eliminating arbitrary constants and
arbitrary functions – solution of Lagrange’s Linear equations – Charpit’s method –
solution of homogeneous linear partial differential equation – equation with
constant coefficients - solution of one dimensional wave equation and heat
equation using method of separation of variables – Fourier solution of one
dimensional wave equation.
Module 3
Fourier Transforms: Statement of Fourier Integral Theorems – Fourier transforms –
Fourier sine and cosine transforms – inverse transforms – transforms of
derivatives – Convolution Theorem (no proof) – Parseval’s identity – simple
problems.
Module 4
Probability and Statistics: Binomial law of probability – The binomial distribution,
its mean and variance – Poisson distribution as a limiting case of binomial
distribution – its mean and variance – fitting of binomial and Poisson distributions
http://mgusyllabus.blogspot.com/
– normal distribution – properties of normal curve – standard normal curve –
simple problems in binomial, Poisson and normal distributions.
Module 5
Population and samples: Sampling distribution of mean ( known) – sampling
distribution of variance, F and Chi square test – Level of significance – Type 1 and
Type 2 errors – Test of hypothesis – Test of significance for large samples – test of
significance for single proportion, difference proportion, single mean and
difference of mean (proof of theorems not expected).
References
1. Higher Engg. Mathematics: Grawal B. S, Khanna Publ.
2. Engineering Mathematics Vol.2: M. K Venkataraman, National Publishing
Co.
3. Elements of Partial Differential Equations: Ian N. Sneddon, Mc Graw Hill Intl’
4. Miller and Fread’s Probability and Statistics for Engineers: Richard A.
Johnson, Pearson education/ PHI.
5. A Text Book of Engg. Mathematics, Vol.2: Bali and Iyengar, Lakshmi Publ. Ltd.
6. Advanced Engg. Mathematics: Erwin Kreyszig, Wiley Eastern.
7. Probability and Statistical Inferences: Hogg and Tam’s, Pearson Education Asia.
Subscribe to:
Posts (Atom)