EE6365 Electrical Engineering Laboratory - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan EE6365 Electrical Engineering Laboratory - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

 

 

 

EE6365                            ELECTRICAL ENGINEERING LABORATORY                             L T  P   C

0  0 3   2

OBJECTIVES:

• To validate the principles studied in theory by performing experiments in the laboratory

 

LIST OF EXPERIMENTS

1. Load test on DC Shunt & DC Series motor
2. O.C.C & Load characteristics of DC Shunt and DC Series generator
3. Speed control of DC shunt motor (Armature, Field control)
4. Load test on single phase transformer
5. O.C & S.C Test on a single phase transformer
6. Regulation of an alternator by EMF & MMF methods.
7. V curves and inverted V curves of synchronous Motor
8. Load test on three phase squirrel cage Induction motor
9. Speed control of three phase slip ring Induction Motor
10. Load test on single phase Induction Motor.
11. Study of DC & AC Starters

 

OUTCOMES

• Ability to perform speed characteristic of different electrical machine

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

TOTAL: 45 PERIODS

 

 

LIST OF EQUIPMENT FOR A BATCH OF 30 STUDENTS

 

S.No.	NAME OF THE EQUIPMENT	Qty.
1	DC Shunt motor	2
2	DC Series motor	1
3	DC shunt motor-DC Shunt Generator set	1
4	DC Shunt motor-DC Series Generator set	1

 

 

5	Single phase transformer	2
6	Three phase alternator	2
7	Three phase synchronous motor	1
8	Three phase Squirrel cage Induction motor	1
9	Three phase Slip ring Induction motor	1
10	Single phase Induction motor	1

 

 

CE6461 Fluid Mechanics and Machinery Laboratory - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan CE6461 Fluid Mechanics and Machinery Laboratory - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

 

 

CE6461                  FLUID MECHANICS AND MACHINERY LABORATORY                      L T  P  C

0   0 3  2

OBJECTIVES:

• Upon Completion of this subject, the students can able to have hands on experience in flow measurements using different devices and also perform calculation related to losses in pipes and also perform characteristic study of pumps, turbines etc.,

 

LIST OF EXPERIMENTS

1. Determination of the Coefficient of discharge of given Orifice meter.
2. Determination of the Coefficient of discharge of given Venturi meter.
3. Calculation of the rate of flow using Rota meter.
4. Determination of friction factor for a given set of pipes.
5. Conducting   experiments   and   drawing   the   characteristic   curves   of   centrifugal   pump/

submergible pump

6. Conducting experiments and drawing the characteristic curves of reciprocating pump.
7. Conducting experiments and drawing the characteristic curves of Gear pump.
8. Conducting experiments and drawing the characteristic curves of Pelton wheel.
9. Conducting experiments and drawing the characteristics curves of Francis turbine.
10. Conducting experiments and drawing the characteristic curves of Kaplan turbine.

TOTAL: 45 PERIODS

 

OUTCOMES:

• Ability to use the measurement equipments for flow measurement
• Ability to do performance trust on different fluid machinery

 

LIST OF EQUIPMENT FOR A BATCH OF 30 STUDENTS

 

S. NO.	NAME OF THE EQUIPMENT	Qty.
1	Orifice meter setup	1
2	Venturi meter setup	1
3	Rotameter setup	1
4	Pipe Flow analysis setup	1
5	Centrifugal pump/submergible pump setup	1
6	Reciprocating pump setup	1
7	Gear pump setup	1
8	Pelton wheel setup	1
9	Francis turbine setup	1
10	Kaplan turbine setup	1

 

 

ME6311 Manufacturing Technology Laboratory - I - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan ME6311 Manufacturing Technology Laboratory - I - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

ME6311                     MANUFACTURING TECHNOLOGY LABORATORY – I                      L T  P  C

0 0  3 2

OBJECTIVES:

• To Study and practice the various operations that can be performed in lathe, shaper, drilling, milling machines etc. and to equip with the practical knowledge required in the core industries.

 

LIST OF EXPERIMENTS

Machining and Machining time estimations for :

1. Taper Turning
2. External Thread cutting
3. Internal Thread Cutting
4. Eccentric Turning
5. Knurling
6. Square Head Shaping
7. Hexagonal Head Shaping

 

OUTCOMES:

 

 

 

 

 

 

 

 

 

 

 

 

TOTAL: 45 PERIODS

 

• Upon completion of this course, the students can able to demonstrate and fabricate different types of components using the machine tools

 

LIST OF EQUIPMENT FOR A BATCH OF 30 STUDENTS

 

S. NO.	NAME OF THE EQUIPMENT	Qty.
1	Centre Lathes	7 Nos.
2	Horizontal Milling Machine	1 No
3	Vertical Milling Machine	1 No
4	Shaper	1 Nos.

 

EE6351 Electrical Drives and Controls - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan EE6351 Electrical Drives and Controls - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

EE6351                                  ELECTRICAL DRIVES AND CONTROL                                 L T  P  C

3 0  0 3

OBJECTIVES:

• To understand  the  basic  concepts  of  different  types  of  electrical  machines  and  their performance.
• To study the different methods of starting D.C motors and induction motors.
• To study the conventional and solid-state drives

 

UNIT I             INTRODUCTION                                                                                                            8

Basic Elements – Types of Electric Drives – factors influencing the choice of electrical drives – heating and cooling curves – Loading conditions and classes of duty – Selection of power rating for drive motors with regard to thermal overloading and Load variation factors

 

UNIT II            DRIVE MOTOR CHARACTERISTICS                                                                            9

Mechanical characteristics – Speed-Torque characteristics of various types of load and drive motors – Braking of Electrical motors – DC motors: Shunt, series and compound - single phase and three phase induction motors.

 

UNIT III           STARTING METHODS                                                                                                   8

Types of D.C Motor starters – Typical control circuits for shunt and series motors – Three phase squirrel cage and slip ring induction motors.

 

UNIT IV          CONVENTIONAL AND SOLID STATE SPEED CONTROL OF D.C. DRIVES            10

Speed control of DC series and shunt motors – Armature and field control, Ward-Leonard control system - Using controlled rectifiers and DC choppers –applications.

 

UNIT V           CONVENTIONAL AND SOLID STATE SPEED CONTROL OF A.C. DRIVES            10

Speed control of three phase induction motor – Voltage control, voltage / frequency control, slip power recovery scheme – Using inverters and AC voltage regulators – applications.

 

 

OUTCOMES:

 

TOTAL: 45 PERIODS

 

• Upon Completion of this subject, the students can able to explain different types of electrical machines and their performance

 

TEXT BOOKS:

1. Vedam Subrahmaniam, “Electric Drives (Concepts and Applications”, Tata McGraw-Hill, 2001
2. Nagrath .I.J. & Kothari .D.P, “Electrical Machines”, Tata McGraw-Hill, 1998

 

REFERENCES:

1. Pillai.S.K “A First Course on Electric Drives”, Wiley Eastern Limited, 1998
2. Singh. M.D., K.B.Khanchandani, “Power Electronics”, Tata McGraw-Hill, 1998
3. Partab. H., “Art and Science and Utilisation of Electrical Energy”, Dhanpat Rai and Sons, 1994

 

 

ME6302 Manufacturing Technology - I - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan ME6302 Manufacturing Technology - I - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

 

 

 

 

ME6302                                 MANUFACTURING TECHNOLOGY – I                                   L T   P  C

3   0   0 3

OBJECTIVES:

• To introduce the concepts of basic manufacturing processes and fabrication techniques, such as metal casting, metal joining, metal forming and manufacture of plastic components.

 

UNIT I             METAL CASTING PROCESSES                                                                                    9

Sand Casting : Sand Mould – Type of patterns - Pattern Materials – Pattern allowances –Moulding sand Properties and testing – Cores –Types and applications – Moulding machines– Types and applications;  Melting  furnaces  :  Blast  and  Cupola  Furnaces;    Principle  of  special  casting processes : Shell - investment – Ceramic mould – Pressure die casting - Centrifugal Casting - CO2 process – Stir casting;  Defects in Sand casting

 

UNIT II            JOINING PROCESSES                                                                                                  9

Operating principle, basic equipment, merits and applications of : Fusion welding processes : Gas welding - Types  – Flame characteristics;  Manual metal arc welding – Gas Tungsten arc welding

- Gas metal arc welding – Submerged arc welding – Electro slag welding; Operating principle and

applications of : Resistance welding - Plasma arc welding – Thermit welding – Electron beam welding – Friction welding and Friction Stir Welding;    Brazing and soldering;  Weld defects: types, causes and cure.

 

UNIT III            METAL FORMING PROCESSES                                                                                 9

Hot working and cold working of metals – Forging processes – Open, impression and closed die forging – forging operations.  Rolling of metals– Types of Rolling – Flat strip rolling – shape rolling operations – Defects in rolled parts. Principle of rod and wire drawing – Tube drawing – Principles of Extrusion – Types – Hot and Cold extrusion.

 

UNIT IV          SHEET METAL PROCESSES                                                                                        9

Sheet metal characteristics – shearing, bending and drawing operations – Stretch forming operations

–  Formability of  sheet metal – Test methods –special forming  processes-Working  principle  and applications – Hydro forming – Rubber pad forming – Metal spinning– Introduction of Explosive forming, magnetic pulse forming, peen forming, Super plastic forming – Micro forming

 

UNIT V           MANUFACTURE OF PLASTIC COMPONENTS                                                           9

Types and characteristics of plastics – Moulding of thermoplastics – working principles and typical applications – injection moulding – Plunger and screw machines – Compression moulding, Transfer Moulding – Typical industrial applications – introduction to blow moulding –Rotational moulding – Film blowing – Extrusion – Thermoforming – Bonding of Thermoplastics.

 

 

OUTCOMES:

 

TOTAL: 45 PERIODS

 

• Upon completion of this course, the students can able to apply the different manufacturing process and use this in industry for component production

 

TEXT BOOKS:

1. Hajra Chouldhary  S.K  and  Hajra  Choudhury.  AK.,  "Elements  of  workshop  Technology", volume I and II, Media promoters and Publishers Private Limited, Mumbai, 1997
2. Kalpakjian. S, “Manufacturing Engineering and Technology”, Pearson Education India Edition,

2006

 

REFERENCES:

1. Gowri P. Hariharan, A.Suresh Babu, "Manufacturing Technology I", Pearson Education, 2008
2. Roy. A. Lindberg, "Processes and Materials of Manufacture", PHI / Pearson education, 2006
3. Paul  Degarma  E,  Black   J.T   and  Ronald  A.   Kosher,   "Materials  and  Processes,   in

Manufacturing" Eight Edition, Prentice – Hall of India, 1997.

4. Sharma, P.C., "A Text book of production Technology", S.Chand and Co. Ltd., 2004.
5. Rao, P.N. "Manufacturing Technology Foundry, Forming and Welding", 2ndEdition, TMH-2003;

2003

 

CE6451 Fluid Mechanics and Machinery - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan CE6451 Fluid Mechanics and Machinery - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

 

CE6451                           FLUID MECHANICS AND MACHINERY                                         L  T  P  C

3 0  0   3

OBJECTIVES:

• The applications of the conservation laws to flow through pipes and hydraulic machines are studied
• To understand the importance of dimensional analysis.
• To understand the importance of various types of flow in pumps and turbines.

 

UNIT I             FLUID PROPERTIES AND FLOW CHARACTERISTICS                                              8

Units and dimensions- Properties of fluids- mass density, specific weight, specific volume, specific gravity, viscosity, compressibility, vapor pressure, surface tension and capillarity. Flow characteristics

– concept of control volume - application of continuity equation, energy equation and momentum equation.

 

UNIT II            FLOW THROUGH CIRCULAR CONDUITS                                                                   8

Hydraulic and energy gradient - Laminar flow through circular conduits and circular annuli-Boundary layer concepts – types of boundary layer thickness – Darcy Weisbach equation –friction factor- Moody diagram- commercial pipes- minor losses – Flow through pipes in series and parallel.

 

UNIT III           DIMENSIONAL ANALYSIS                                                                                           9

Need for dimensional analysis – methods of dimensional analysis – Similitude –types of similitude - Dimensionless parameters- application of dimensionless parameters – Model analysis.

 

UNIT IV          PUMPS                                                                                                                          10

Impact of jets - Euler’s equation - Theory of roto-dynamic machines – various efficiencies– velocity components at entry and exit of the rotor- velocity triangles - Centrifugal pumps– working principle - work done by the impeller - performance curves - Reciprocating pump- working principle – Rotary pumps –classification.

 

UNIT V           TURBINES                                                                                                                    10

Classification of turbines – heads and efficiencies – velocity triangles. Axial, radial and mixed flow turbines. Pelton wheel,  Francis turbine and Kaplan turbines- working principles - work done by water on the runner – draft tube. Specific speed - unit quantities – performance curves for turbines – governing of turbines.

 

 

OUTCOMES:

 

TOTAL: 45 PERIODS

 

• Upon completion of this course, the students can able to apply mathematical knowledge to predict the properties and characteristics of a fluid.
• Can critically analyse the performance of pumps and turbines.

 

TEXT BOOK:

1. Modi P.N. and Seth, S.M. "Hydraulics and Fluid Mechanics", Standard Book House, New Delhi

2004.

REFERENCES:

1. Streeter, V. L. and Wylie E. B., "Fluid Mechanics", McGraw Hill Publishing Co. 2010
2. Kumar K. L., "Engineering Fluid Mechanics", Eurasia Publishing House(p) Ltd., New Delhi

2004

3. Robert W.Fox, Alan T. McDonald, Philip J.Pritchard, “Fluid Mechanics and Machinery”, 2011.
4. Graebel. W.P, "Engineering Fluid Mechanics", Taylor & Francis, Indian Reprint, 2011

 

ME6301 Engineering Thermodynamics - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan ME6301 Engineering Thermodynamics - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

 

 

 

 

ME6301                                ENGINEERING THERMODYNAMICS                                        L  T  P  C

3   0 0  3

OBJECTIVES:

• To familiarize the students to understand the fundamentals of thermodynamics and to perform thermal analysis on their behavior and performance.

 

(Use  of  Standard  and  approved  Steam  Table,  Mollier  Chart,  Compressibility  Chart  and

Psychrometric Chart permitted)

 

UNIT I             BASIC CONCEPTS AND FIRST LAW                                                                           9

Basic concepts - concept of continuum, comparison of microscopic and macroscopic approach. Path and point functions. Intensive and extensive, total and specific quantities. System and their types. Thermodynamic Equilibrium State, path and process. Quasi-static, reversible and irreversible processes. Heat and work transfer, definition and comparison, sign convention. Displacement work and other modes of work .P-V diagram. Zeroth law of thermodynamics – concept of temperature and thermal equilibrium– relationship between temperature scales –new temperature scales. First law of thermodynamics –application to closed and open systems – steady and unsteady flow processes.

 

UNIT II            SECOND LAW AND AVAILABILITY ANALYSIS                                                          9

Heat Reservoir, source and sink. Heat Engine, Refrigerator, Heat pump. Statements of second law and its corollaries. Carnot cycle Reversed Carnot cycle, Performance. Clausius inequality. Concept of entropy, T-s diagram, Tds Equations, entropy change for - pure substance, ideal gases - different processes, principle of increase in entropy. Applications of II Law. High and low grade energy. Available and non-available energy of a source and finite body. Energy and irreversibility. Expressions for the energy of  a closed system and open systems. Energy balance and entropy generation. Irreversibility. I and II law Efficiency.

 

UNIT III            PROPERTIES OF PURE SUBSTANCE AND STEAM POWER CYCLE                     9

Formation of steam and its thermodynamic properties, p-v, p-T, T-v, T-s, h-s diagrams. p-v-T surface. Use of Steam Table and Mollier Chart. Determination of  dryness fraction. Application of I and II law for pure substances. Ideal and actual Rankine cycles, Cycle Improvement Methods - Reheat and Regenerative cycles, Economiser, preheater, Binary and Combined cycles.

 

UNIT IV          IDEAL AND REAL GASES, THERMODYNAMIC RELATIONS                                    9

Properties of Ideal gas- Ideal and real gas comparison- Equations of state for ideal and real gases- Reduced properties-.Compressibility factor-.Principle of Corresponding states. -Generalised Compressibility Chart and its use-. Maxwell relations, Tds Equations, Difference and ratio of heat

 

capacities,  Energy  equation,  Joule-Thomson  Coefficient,  Clausius  Clapeyron  equation,  Phase

Change Processes. Simple Calculations.

 

UNIT V           GAS MIXTURES AND PSYCHROMETRY                                                                     9

Mole and Mass fraction, Dalton’s and Amagat’s Law. Properties of gas mixture – Molar mass, gas constant, density, change in internal energy, enthalpy, entropy and Gibbs function. Psychrometric properties, Psychrometric charts. Property calculations of air vapour mixtures by using chart and expressions. Psychrometric process – adiabatic saturation, sensible heating and cooling, humidification, dehumidification, evaporative cooling and adiabatic mixing. Simple Applications

TOTAL : 45 PERIODS

OUTCOMES:

• Upon completion of this course, the students can able to apply the Thermodynamic Principles to Mechanical Engineering Application.
• Apply mathematical fundamentals to study the properties of steam, gas and gas mixtures.

 

TEXT BOOKS :

1. Nag.P.K., “Engineering Thermodynamics”, 4thEdition, Tata McGraw-Hill, New Delhi, 2008.
2. Natarajan  E.,  "Engineering  Thermodynamics:  Fundamentals  and  Applications",  Anuragam

Publications, 2012.

 

REFERENCES :

1. Cengel.  Y and M.Boles,  "Thermodynamics  - An  Engineering  Approach",  7th  Edition, Tata

McGraw Hill, 2010.

2. Holman.J.P., "Thermodynamics", 3rd Edition, McGraw-Hill, 1995.
3. Rathakrishnan. E., "Fundamentals of Engineering Thermodynamics", 2nd Edition, Prentice- Hall of India Pvt. Ltd, 2006
4. Chattopadhyay, P, "Engineering Thermodynamics", Oxford University Press, 2010.
5. Arora C.P, “Thermodynamics”, Tata McGraw-Hill, New Delhi, 2003.
6. Van Wylen and Sonntag, “Classical Thermodynamics”, Wiley Eastern, 1987
7. Venkatesh. A, “Basic Engineering Thermodynamics”, Universities Press (India) Limited, 2007.
8. Kau-Fui Vincent Wong, "Thermodynamics for Engineers", CRC Press, 2010 Indian Reprint.
9. Prasanna Kumar: Thermodynamics "Engineering Thermodynamics" Pearson Education, 2013

 

 

 

CE6306 Strength of Materials- Syllabus-Semester III-MECH-BE-Anna University

NotesKhan CE6306 Strength of Materials- Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

 

CE6306                                  STRENGTH OF MATERIALS                                                   L  T  P  C

3   1 0  4

OBJECTIVES:

To  understand  the  stresses  developed  in  bars,  compounds  bars,  beams,  shafts,  cylinders  and spheres.

 

UNIT I             STRESS, STRAIN AND DEFORMATION OF SOLIDS                                                 9

Rigid bodies and deformable solids – Tension, Compression and Shear Stresses – Deformation of simple and compound bars – Thermal stresses – Elastic constants – Volumetric strains –Stresses on inclined planes – principal stresses and principal planes – Mohr’s circle of stress.

 

UNIT II            TRANSVERSE LOADING ON BEAMS AND STRESSES IN BEAM                             9

Beams  – types  transverse  loading  on beams –  Shear  force  and  bending  moment  in  beams  – Cantilevers – Simply supported beams and over  –  hanging  beams. Theory of  simple  bending– bending stress distribution – Load carrying capacity – Proportioning of sections – Flitched beams – Shear stress distribution.

 

UNIT III           TORSION                                                                                                                        9

Torsion formulation stresses and deformation in circular and hollows shafts – Stepped shafts– Deflection in shafts fixed at the both ends – Stresses in helical springs – Deflection of helical springs, carriage springs.

 

UNIT IV          DEFLECTION OF BEAMS                                                                                              9

Double Integration method – Macaulay’s method – Area moment method for computation of slopes and deflections in beams - Conjugate beam and strain energy – Maxwell’s reciprocal theorems.

 

UNIT V           THIN CYLINDERS, SPHERES AND THICK CYLINDERS                                             9

Stresses in thin cylindrical shell due to internal pressure circumferential and longitudinal stresses and deformation in thin and thick cylinders – spherical shells subjected to internal pressure –Deformation in spherical shells – Lame’s theorem.

 

 

OUTCOMES:

 

TOTAL (L:45+T:15): 60 PERIODS

 

• Upon completion of this course, the students can able to apply mathematical knowledge to calculate the deformation behavior of simple structures.
• Critically analyse problem and solve the problems related to mechanical elements and analyse the deformation behavior for different types of loads.

 

TEXT BOOKS:

1. Bansal, R.K., "Strength of Materials", Laxmi Publications (P) Ltd., 2007
2. Jindal U.C., "Strength of Materials", Asian Books Pvt. Ltd., New Delhi, 2007

 

REFERENCES:

1. Egor. P.Popov “Engineering Mechanics of Solids” Prentice Hall of India, New Delhi, 2001
2. Subramanian R., "Strength of Materials", Oxford University Press, Oxford Higher Education Series,

2007.

3. Hibbeler, R.C., "Mechanics of Materials", Pearson Education, Low Price Edition, 2007
4. Ferdinand P. Been, Russell Johnson, J.r. and John J. Dewole "Mechanics of Materials", Tata

McGraw Hill Publishing ‘co. Ltd., New Delhi, 2005.

 

MA6351 Transforms and Partial Differential Equations - Syllabus-Semester III-MECH-BE-Anna University

NotesKhan MA6351 Transforms and Partial Differential Equations - Syllabus-Semester III-MECH-BE-Anna University MECH SEM III Syllabus, MECH SYLLABUS

 

MA6351             TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS                    L T  P  C

3 1  0  4

OBJECTIVES

• To introduce Fourier series analysis which is central to many applications in engineering apart from its use in solving boundary value problems.
• To acquaint the student with Fourier transform techniques used in wide variety of situations.
• To introduce the effective mathematical tools for the solutions of partial differential equations that model several physical processes and to develop Z transform techniques for discrete time

systems.

 

UNIT I             PARTIAL  DIFFERENTIAL  EQUATIONS                                                                9 + 3

Formation of partial differential equations – Singular integrals -- Solutions of standard types of first order partial differential equations - Lagrange’s linear equation -- Linear partial differential equations of second and higher order with constant coefficients of both homogeneous and non-homogeneous types.

 

UNIT II            FOURIER SERIES                                                                                                    9 + 3

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series – Complex form of Fourier series – Parseval’s identity – Harmonic analysis.

 

UNIT III           APPLICATIONS  OF PARTIAL  DIFFERENTIAL  EQUATIONS                            9 + 3

Classification of PDE – Method of separation of variables - Solutions of one dimensional wave equation – One dimensional equation of heat conduction  – Steady state solution of two dimensional equation of heat conduction (excluding insulated edges).

 

UNIT IV          FOURIER TRANSFORMS                                                                                       9 + 3

Statement   of   Fourier   integral   theorem       –   Fourier   transform   pair   –   Fourier   sine   and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.

 

UNIT V           Z - TRANSFORMS  AND  DIFFERENCE  EQUATIONS                                          9 + 3

Z- transforms - Elementary properties – Inverse Z - transform (using partial fraction and residues) – Convolution theorem - Formation of  difference equations – Solution of difference  equations  using

Z - transform.

 

 

OUTCOMES

 

TOTAL (L:45+T:15): 60 PERIODS

 

• The understanding  of  the  mathematical  principles  on  transforms  and  partial  differential equations would provide them the ability to formulate and solve some of the physical problems of engineering.

 

TEXT BOOKS

1. Veerarajan. T., "Transforms and Partial Differential Equations", Tata McGraw Hill Education

Pvt. Ltd., Second reprint, New Delhi,  2012.

2. Grewal. B.S., "Higher Engineering   Mathematics", 42nd   Edition, Khanna Publishers, Delhi,

2012.

3. Narayanan.S.,  Manicavachagom  Pillay.T.K  and  Ramanaiah.G  "Advanced  Mathematics  for

Engineering Students"  Vol. II & III,  S.Viswanathan  Publishers  Pvt  Ltd. 1998.

 

REFERENCES

1. Bali.N.P and Manish Goyal, "A Textbook of Engineering Mathematics", 7th  Edition, Laxmi

Publications Pvt Ltd, 2007.

 

 

2. Ramana.B.V., "Higher Engineering Mathematics", Tata Mc-Graw Hill Publishing  Company

Limited, New Delhi, 2008.

3. Glyn James, "Advanced Modern Engineering Mathematics", 3rd  Edition, Pearson Education,

2007.

4. Erwin Kreyszig, "Advanced Engineering Mathematics", 8th Edition, Wiley India, 2007.
5. Ray  Wylie.  C  and  Barrett.L.C,  "Advanced  Engineering  Mathematics",  Sixth  Edition,  Tata

McGraw Hill Education Pvt Ltd, New Delhi, 2012.

6. Datta.K.B., "Mathematical Methods of Science and Engineering", Cengage Learning India Pvt

Ltd,  Delhi, 2013.