107 PESCE
107 PESCE
107 PESCE
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(±ÉÊPÀëtÂPÀ ªÀµÀð 2023-24)
Bachelor Degree
In
Mechanical Engineering
VISION
“PESCE shall be a leading institution imparting quality Engineering and Management education
developing creative and socially responsible professionals.”
MISSION
Provide state of the art infrastructure, motivate the faculty to be proficient in their field of
specialization and adopt best teaching-learning practices.
Impart engineering and managerial skills through competent and committed faculty using
outcome based educational curriculum.
Inculcate professional ethics, leadership qualities and entrepreneurial skills to meet the
societal needs.
Promote research, product development and industry-institution interaction.
QUALITY POLICY
Highly committed in providing quality, concurrent technical education and continuously striving to meet
expectations of stake holders.
CORE VALUES
Professionalism
Empathy
Synergy
Commitment
Ethics
Department Vision
“Be a department well recognized for its ability to develop competent mechanical engineers capable of working in
global environment”
Department Mission
The Department of Mechanical Engineering has formulated the following programme educational
objectives for the under-graduate program in Mechanical Engineering:
The Mechanical Engineering graduates will be able to:
PEO1: Use the fundamentals of basic science, mathematics and mechanical engineering, to pursue their
career as engineers as well as to lead and manage teams in global organizations.
PEO2: Pursue advanced education, research and development and engage in the process of life-long
learning.
PEO3: Become entrepreneurs in a responsible, professional and ethical manner to serve the society.
PSO1: Apply computer simulation and experimental methods in the design and development of sustainable
products of mechanical systems.
PSO2: Utilize the knowledge of advanced manufacturing and condition monitoring techniques in industrial
applications.
No. of hours
Unit Syllabus content
Theory Tutorial
I Infinite Series: Introduction, convergence, divergence and
oscillation of a series, Tests for convergence – Comparison test,
Ratio test, Cauchy’s root test Raabe’s test, (All tests without proof)-
Problems. 06 02
Self-study component: Integral Test, Alternating series, Leibnitz’s
theorem – absolute and conditional convergence.
II Fourier Series:
Introduction, periodic function, even and odd functions, Dirichlet’s
conditions, Euler’s formula for Fourier series (no proof). Fourier
series for functions of arbitrary period of the form 2L (all particular
cases) – problems, analysis- Illustrative examples from engineering 06 02
field. Half Range Fourier series- Construction of Half range cosine
and sine series and problems. Practical harmonic analysis-
Illustrative examples from engineering field.
Self study: Complex Fourier series.
III Laplace Transforms:
Definition – Transforms of elementary functions. Properties of
Laplace Transforms- linearity, Change of scale, shifting, Transform
of Derivative and Integrals, Transform of a function multiplied by 𝒕𝒏
and division t (no proof)-Problems, Transforms of periodic function, 06 02
unit step function (All results without proof)-Problems only.
Inverse Laplace Transforms: Evaluation of inverse transforms by
standard methods. Convolution theorem - Problems only.
Self-study component- Transform of Unit impulse function.
Solution of ODE by Laplace method and L-R-C circuits.
IV Fourier Transforms:
Complex Fourier Transform: Infinite Fourier transforms and
Inverse Fourier transforms. Properties of Fourier Transforms-
linearity Change of scale, shifting and modulation (no proof)-
Problems, Fourier sine and cosine transforms and Inverse Fourier 06 02
cosine and sine transforms with properties-Problems
Convolution theorem and Parseval’s identity for Fourier Transform
(no proof)-problems.
Self study: Fourier integrals- Complex forms of Fourier integral.
TEXT BOOKS
1. B.S. Grewal, Higher Engineering Mathematics (44th Edition 2018), Khanna Publishers, New
Delhi.
2. E. Kreysizig, Advanced Engineering Mathematics, John Wiley and sons, 10th Ed. (Reprint) 2016.
REFERENCE BOOKS
1. V. Ramana: Higher Engineering Mathematics, McGraw –Hill Education, 11th Ed.,
2. H. C. Taneja, Advanced Engineering Mathematics, Volume I & II, I.K. International
Publishing House Pvt. Ltd., New Delhi.
3. N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi
Publications, Reprint, 2010.
ONLINE RESOURCES
1. http://www.nptel.ac.in
2. https://en.wikipedia.org
3. https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/
4. https://ocw.mit.edu/courses/18-06sc-linear-algebra-fall-2011/
5. https://math.hmc.edu/calculus/hmc-mathematics-calculus-online-tutorials/differential-
equations/first-order-differential-equations/
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
CO1 2 2
CO2 2 3
CO3 3 2
CO4 2 3
Strength of correlation: Low-1, Medium- 2, High-3
BASIC THERMODYNAMICS
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – III
Course Code: P22ME302 Semester: III L-T-P: 3-0-0 Credits: 03
Contact Period-Lecture: 40Hrs. Exam: 3Hrs. Weightage: CIE:50 %; SEE: 50%
Course Learning Objectives:
The objectives of this course are to,
Acquire knowledge of the fundamentals of thermodynamics and temperature scales.
Determine heat, work, internal energy and enthalpy for flow and non-flow processes using
First and Second law of thermodynamics.
Determine changes in internal energy, enthalpy and entropy using T-dS relations for ideal
gases.
Identify the properties of substances on property diagrams and obtain the data from property
tables.
Apply concepts of thermodynamics in analyzing the thermal efficiencies of heat engines,
Carnot cycles and the coefficients of performance for refrigerators.
Course Content
UNIT-I
Fundamental Concepts and Definitions: Definition of thermodynamics. Microscopic and
Macroscopic approaches, Thermodynamic system, thermodynamic properties, State, path, process
and cycle, quasi-static process, thermodynamic equilibrium, reversible and irreversible processes,
Zeroth law of thermodynamics, measurement of temperature, scales of temperature, Numerical
Problems. Work and Heat: Thermodynamic definition of work, sign convention, displacement
work, displacement work done for different thermodynamic processes. Definition of heat and its
sign convention. Comparison of work and heat. Numerical problems on work transfer.
9 Hrs
Self-study component: Types of thermometers, concept of absolute scale of temperature,
mechanical forms of work.
UNIT-II
First Law of Thermodynamics: Statement, application of first law of thermodynamics to a
system undergoing a cyclic process and a change of state, concept of energy, energy as a property
of the system. First law applied to thermodynamic processes. Definition and significance of
internal energy, enthalpy and specific heats. Numerical on systems undergoing closed process.
Steady flow process: First law applied to a control volume, derivation of steady flow energy
equation on unit mass and time basis, application of SFEE for mechanical devices. Numerical
problems.
8 Hrs
Self-study component: Engineering application of SFEE, SFEE for unsteady flow process (Tank
filling and Tank emptying).
UNIT-III
Second Law of Thermodynamics: Thermal reservoir; Source and sink. Heat engine, heat pump
and refrigerator. Efficiency and coefficient of performance. Kelvin–Planck and Clausius
statements for Second law of thermodynamics and equivalence of the two Statements. Reversible
and Irreversible processes. Factors that make the process irreversible. Carnot cycle, reversed
Carnot cycle, Carnot theorem. Numerical problems on heat engines and heat pumps. Entropy:
Definition, Clausius theorem, Clausius inequality, Principle of increase of entropy, T-dS relations,
Numerical Problems.
8 Hrs
Self-study component: Available and unavailable energy, irreversibility. Concept of Exergy.
UNIT-IV
Pure substances: Definition of pure substance, two-property rule, behaviour of pure substance
(steam) with reference to T-v, P-T and T-h diagrams. Definitions: Sub-cooled liquid, saturated
liquid, mixture, saturated vapor, superheated vapor, triple point, critical point, sensible heat, latent
heat and super heat. Properties of steam, quality of steam and its determination. Measurement of
dryness fraction using throttling calorimeter, separating and throttling calorimeter. Expressions for
the change in internal energy, enthalpy, work, heat, entropy in various processes, Use of Mollier
chart.
8 Hrs
Self-study component: P-v-T surface, Bucket and Barrel calorimeter.
UNIT-V
Ideal and Real Gases: Concept of an ideal gas, basic gas laws, characteristic gas equation,
Avogadro’s law and Universal gas constant, Vander Waal’s Equation of state, Reduced Co-
ordinates, Compressibility factor and law of corresponding states. Numerical Problems. Mixtures
of Gases: Mole fraction and mass fraction, Partial pressure and Dalton’s Law of partial pressure,
Amagat’s laws of partial volumes. Internal energy, enthalpy and specific heats of gas mixtures.
Simple Numerical on gas mixtures.
7 Hrs
Self-study component: Relation between volumetric and gravimetric analysis.
Text Books
1. P.K.Nag, “Basic and Applied Thermodynamics”, Tata McGraw Hill, 3rd Edition, 2006,
ISBN: 9780070260627.
2. Yunus A. Cenegal, “Thermodynamics– An Engineering Approach”, Tata McGraw Hill,
Featured Edition, 2001, ISBN: 9780072383324.
Reference Books
1. Van and Wylen, “Fundamentals of Classical Thermodynamics”, Wiley Eastern limited,
2nd Edition, 1976, ISBN: 9780471902294.
2. Mahesh. M. Rathore, “Thermal Engineering”, McGraw Hill Pvt Ltd., 1st Edition, New
Delhi, 2010,ISBN: 9780070681132
3. Spalding and Cole, “Engineering Thermodynamics”, ELBS Publications, 1985, ISBN:
9780713133141.
4. R.K.Rajput, “Engineering Thermodynamics”, Laxmi Publications Pvt Ltd, 3rd Edition,
2011, ISBN: 9789380298405.
5. Domkundwar, Kothandaraman, “A course in Thermal Engineering”, Dhanpat Rai and
Co., New Delhi, 2004, ISBN: 9788177000214.
e-Resources
1. https://www.youtube.com/watch?v=9GMBpZZtjXMandlist=PLD8E646BAB3366BC8
2. https://www.youtube.com/watch?v=xQwi9fveGTQandlist=PLD8E646BAB3366BC8andindex
=2
3. https://www.youtube.com/watch?v=0jXeNaSM5Xcandlist=PLD8E646BAB3366BC8andindex
=3
4. https://www.youtube.com/watch?v=sUDfpFD0xX4andlist=PLD8E646BAB3366BC8andindex
=4
5. https://www.youtube.com/watch?v=bCToK4_dmbUandlist=PLD8E646BAB3366BC8andindex
=5
6. https://www.youtube.com/watch?v=lvy8h-
yWhRQandlist=PLD8E646BAB3366BC8andindex=6
7. https://www.youtube.com/watch?v=pJM9Fh9Fp-
Iandlist=PLD8E646BAB3366BC8andindex=16
8. https://www.youtube.com/watch?v=QrEW5RKwglkandlist=PLD8E646BAB3366BC8andindex
=18
9. https://www.youtube.com/watch?v=o9ueYSKj9ogandlist=PLD8E646BAB3366BC8andindex=
19
Course Outcomes: At the end of the course, students will be able to,
1. Apply the basic concepts of thermodynamics such as system, properties, state, cycles and
equilibrium on different thermodynamic processes.
2. Apply the fundamental concepts and laws of thermodynamics on control mass and control
volume.
3. Analyse the performance of different thermodynamic processes and thermal systems
such as Carnot cycle, heat engines, heat pumps, refrigerators and entropy by applying laws
of thermodynamics.
4. Analyse the properties of working substances and gas mixtures on property diagrams to
study the irreversibility and feasibility of the process.
Course Articulation Matrix
Program Outcomes PS
Course Outcomes O
1 2 3 4 5 6 7 8 9 10 11 12 1 2
Apply the basic concepts of thermodynamics
CO1 such as system, properties, state, cycles and 3
equilibrium on different thermodynamic
processes.
CO2 Apply the fundamental concept and laws of
thermodynamics on control mass and control 3
volume.
Analyse the performance of different
CO3 thermodynamic processes and thermal 3
systems such as Carnot cycle, heat engines, heat
pumps, refrigerators and entropy by applying
laws of thermodynamics.
Analyse the properties of working substances
CO4 and gas mixtures on property diagrams to study 3
the irreversibility and feasibility of the process.
SEE- Course Assessment Plan
COs Marks Distribution
Weightage
Unit Total Marks
Unit I Unit II Unit III Unit V (%)
IV
CO1 2+9 2+9 2+9 33 33%
CO2 2+9 2+9 22 22%
CO3 9 9 9 27 27%
CO4 9 9 18 18%
20 20 20 20 20 100 100%
Application =55% Analysis = 45%
UNIT-V
Centrifugal Pumps: Introduction, working principle, parts, definition of manometric head, suction
head, delivery head, static head, efficiencies. Manometric, mechanical and overall efficiencies,
velocity diagram and work done, numerical problems, minimum starting speed, net positive suction
head, priming. Multi-stage centrifugal pump for high head and high discharge, numerical problems.
8 Hrs
Self-study component: Vapour pressure and cavitation, effects of cavitation and its control.
Text Books
1. K.W. Bedford, Victor Streeter, E. Benjamin Wylie, “Fluid Mechanics”, Tata Mcgraw Hill
Education Private Limited, 9th edition, 1997, ISBN: 9780070625372.
2. Dr. R. K. Bansal, “Fluid Mechanics and Hydraulic Machines”, Laxmi publications Ltd.,
New Delhi. 9thedition, 2015, ISBN: 9788131808153.
3. B K Venkanna, “Fundamentals of Turbomachinary”, PHI Learning Pvt. Limited, 2009,
ISBN: 978-8120337756.
4. D. G. Shepherd, “Principles of Turbo Machinery”, Macmillan Company, 1964.
Reference Books
1. Dr. Jagadish Lal, “Fluid Mechanics and Hydraulics”, Metropolitan Book Co. Pvt. Ltd, New
Delhi, 2002, ISBN: 9788120002722.
2. Dr. K.L.Kumar, “Engineering Fluid Mechanics”, S Chand Ltd., 2010, ISBN:
97881219010003.
3. Frank M.White, “FluidMechanics”, Tata Mcgraw Hill Education Private Limited, 7th edition,
2011, ISBN: 9780071333122.
4. V. Ganesan, “Gas Turbines”, Tata McGraw Hill Education Limited, 3rd Edition, 2010,
ISBN: 978-0070681927.
5. G. Gopalakrishnan, “A Treatise on Turbo machines”, Scitech Publications (India) Pvt.
Ltd., 1st Edition, 2008, ISBN: 9788187328988.
6. V. Kadambi and Monohar Prasad, “An introduction to energy conversion”, Volume III,
New Age International Private Limited, 2011, ISBN: 978- 8122431896.
e-Resources
1. https://www.youtube.com/watch?v=vXPtNNLEOUcandlist=PLbMVogVj5nJTZJHsH6uLCO
00I-ffGyBEmandindex=4
2. https://www.youtube.com/watch?v=lGL7Dp8xK_Uandlist=PLbMVogVj5nJTZJHsH6uLCO0
0I-ffGyBEmandindex=13
3. https://www.youtube.com/watch?v=nmubCbgd_KMandlist=PLbMVogVj5nJQQp3QLuzbcHr
t0XncZZTiEandindex=2
4. https://www.youtube.com/watch?v=utOHXJvqI9oandlist=PLbMVogVj5nJQQp3QLuzbcHrt0
XncZZTiEandindex=12
5. https://www.youtube.com/watch?v=VQqiVVYuNksandlist=PLbMVogVj5nJQQp3QLuzbcHr
t0XncZZTiEandindex=8
Course Outcomes: At the end of the course, students will be able to,
1. Apply the mathematical knowledge of fluid mechanics to predict the behaviour of a fluid flow.
2. Apply the knowledge of fluid statics, kinematics and dynamics while addressing problems of
mechanical engineering.
3. Analyse fluid flow problems with the use of fluid properties and measurement of pressure in
engineering applications.
4. Illustrate the basic principles and operations of turbo-machines to appreciate the concept of
velocity triangles for different values of reaction.
5. Apply the basics of fluid mechanics for the design and analysis of pipe flows as well as fluid
machinery.
Manufacturing Process - I
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – III
Course Code: P22ME304 Semester: III L-T-P: 3-0-2 Credits: 04
Total Theory Teaching Hours: 40 Exam: 3Hrs. Weightage: CIE: 50%; SEE: 50%
Total Laboratory Hours: 24
Course Learning Objectives:
The objectives of this course are to,
Acquire basic knowledge about casting, welding and metal cutting theory which are relevant to
manufacturing of engineering components.
Give comprehensive insight regarding the mechanical equipment and operations involved to fulfill
various applications.
Course Content
UNIT-I
Introduction to Casting: Concept of Manufacturing process, Casting process- Steps involved,
advantages, limitations and applications of casting process. Patterns: Definition, Pattern materials,
classification of patterns, Pattern allowances. Binder: Definition and types. Casting defects, causes
and remedies.
8 Hrs
Self study component: Melting furnace classification.
UNIT-II
Sand Moulding: Types of sand moulds, Ingredients of moulding sand and properties, core making,
principles of gating: Elements of gating system, types of gates, gating ratio, Risers: types and
functions. Special Moulding Process: CO2 moulding, Shell moulding, permanent mould casting,
Pressure die casting, Squeeze Casting.
8 Hrs
Self study component: stir casting and centrifugal casting.
UNIT-III
Special types of welding: Resistance welding-principle, working principle, advantages, disadvantages
and applications of the following types-Seam welding, Spot welding, Friction welding, Explosive
welding. Metallurgical aspect in welding: Formation of different zones during welding, Heat Affected
Zone (HAZ), Parameters affecting HAZ, Welding defects.
8 Hrs
Self-study component: weldability and friction stir welding.
UNIT-IV
Theory of Metal Cutting: Introduction, Single point cutting tool nomenclature, geometry, orthogonal
and oblique cutting, Mechanism of chip formation, Types of chips Cutting tool materials: HSS,
Carbides, Coated carbides, CBN and Ceramics. Heat generation in metal cutting, factors affecting heat
generation. Tool Wear: Causes and types, effects of cutting parameters on tool life, tool failure
criteria, Taylor’s tool life equation, simple problems on tool life evaluation.
8 Hrs
Self study component: Cutting Fluids: Desired properties, types and selection.
UNIT-V
Machine Tools and Mechanisms: Constructional feature of turret lathe, Turret lathe indexing
mechanism, Shaping Machine-classification of shaping machine, Shaper mechanism - Crank and
slotted lever quick return mechanism and hydraulic driving mechanism, Planing Machine-
classification of planer - Planer mechanism -open and cross belt drive mechanism.
8 Hrs
Self study component: Milling machine and grinding machine.
Practical Content
24 Hrs
Testing of molding sand and core sand:
1. Compression, shear and permeability tests on green sand specimen.
2. Sieve analysis to find grain fineness number of base sand.
Foundry and casting:
3. Use of foundry tools and other equipments.
4. Preparation of moulds using two moulding boxes with and without Patterns (Split pattern, Core
boxes).
5. Production of metal component using sand casting.
Machining processes:
6. Preparation of one model on lathe involving plain turning, facing, knurling and eccentric turning.
7. External threads cutting, V-thread and square thread.
8. Taper turning by different methods.
9. Cutting of V-groove using a shaper.
10. Surface grinding.
Text Books
1. Serope Kalpak Jian and Steven R Schmid, “Manufacturing Engineering and Technology”,
Pearson Education Asia, 4th Edition, 2002, ISBN: 97881775817062.
2. Dr. K. Radhakrishna, “Manufacturing Process-I”, 5th Edition, Sapna Book House, 2006, ISBN:
8128002074.
Reference Books
1. P. N. Rao, “Manufacturing and Technology: Foundry Forming and Welding”, Tata McGraw
Hill, 2nd Edition, 2013, ISBN: 97893832866143.
2. Roy A Lindberg, “Process and Materials of Manufacturing”, Prentice Hall, 4th Edition, 1998,
ISBN: 9780205118175.
Course Outcomes: At the end of the course, students will be able to,
1. Apply the concept of primary manufacturing processes such as casting, welding and machining.
2. Identify real-time applications of special casting, welding and Machining processes.
3. Examine the defects in casting and welding by analysing the microstructure.
4. Analyse various cutting parameters in metal cutting.
5. Prepare a report as an individual or as a team member to communicate effectively.
e-Resources
1. http://efoundry.iitb.ac.in/Academy/index.jsp
2. http://nptel.ac.in/courses/112107145/
3. http://www.elcoweld.com/files/editor/downloads/elmi/AWP1.pdf
4. https://books.google.co.in/books?id=NOotk64Grx0Candprintsec=frontcoverandsource=gbs_ge_su
mmary_randcad=0#v= >5. https://youtu.be/YtksJ12suFM
6. https://youtu.be/yPpyyABaqcw
7. https://youtu.be/MD-PDz4EQAg
8. http://nptel.ac.in/courses/112105126/
Course Articulation Matrix
Course Outcomes Program Outcomes PSO
1 2 3 4 5 6 7 8 9 10 11 12 0 0
1 2
Apply the concept of primary
CO1 manufacturing processes such as 3
casting, welding and machining.
Practical Content
24 Hrs
1. Preparation of specimen for metallographic examination.
2. Rockwell Hardness test.
3. Brinell Hardness test.
4. Vickers Hardness test.
5. Tension test using a UTM.
6. Izod Impact Tests.
7. Charpy Impact Tests.
8. Heat treatment: Annealing, Normalizing, Hardening and Tempering of Ferrous alloys and study
their hardness.
9. Shear tests using UTM.
10. Bending Test using UTM.
Text Books
1. Willian D. Callister Jr., “Materials Science and Engineering – an Introduction”, John Wiley
India Pvt.Ltd, New Delhi, 6th Edition, 2006, ISBN: 978-0471736967.
2. Donald R. Askeland, Pradeep, “Essentials of Materials For Science and Engineering”, CL
Engineering, 2nd Edition, 2006, ISBN: 978-0495244462.
Reference Books
1. James F. Shackel ford, “Introduction to Material Science for Engineering”, 6th edition
Pearson, Prentice Hall, New Jersy, 2006.
2. V. Raghavan, “Physical Metallurgy, Principles and Practices”, PHI 2nd Edition, New Delhi,
2006, ISBN: 978-8120330129.
3. Smith, “Foundations of Materials Science and Engineering”, 3rd Edition McGraw Hill, 1997.
e-Resources
1. https://youtu.be/OTDVov_kw6A
2. https://www.digimat.in/nptel/courses/video/113104014/L20.html
3. https://youtu.be/I9fQ9KDk_uU
4. https://nptel.ac.in/courses/112104168
5. https://archive.nptel.ac.in/courses/113/104/113104074/
Course Outcomes: At the end of the course, students will be able to,
1. Apply the fundamental concepts of material science and metallurgy.
2. Apply various heat treatment processes to ferrous and nonferrous metals.
3. Analyse materials properties, composition and their phase transformation.
4. Make use of experimental data for writing a report as an individual or as a team member to
communicate effectively.
CO1 2 3 2
CO2 2 2
CO3 2 2
CO4 2 2 2 1
AND
ONENSS – CAMP @ College /University /Stateor Central GovtLevel /NGO’s /General Social
Camps
Students have to take up anyone activity on the above said topics and have to prepare content for
awareness and technical contents for implementation of the projects and have to present strategies
for implementation of the same. Compulsorily students have to attend one camp.
CIE will be evaluated based on their presentation, approach and implementation strategies.
Course Outcomes: After completing the course, the students will be able to
CO1: Understand the importance of his / her responsibilities towards society.
CO2: Analyze the environmental and societal problems/issues and will be able to design
solutions for the same.
CO3: Evaluate the existing system and to propose practical solutions for the same for sustainable
development.
CO4: Implement government or self-driven projects effectively in the field.
PHYSICAL EDUCATION
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER - III
Course Code: P22PED309 Credits: 00
Teaching Hours/Week (L:T:P): 0:0:2 CIE Marks: 100
Total Number of Teaching Hours: SEE Marks: -
Fitness Components Meaning and Importance, Fit India Movement, Definition of fitness,
Components of
fitness, Benefits of fitness, Types of fitness and Fitness tips.
Practical Components: Speed, Strength, Endurance, Flexibility, and Agility
KABADDI
A. Fundamental skills
Speed 1. Skills in Raiding: Touching with hands, Use of leg-toe touch, squat
Strength leg thrust, side kick, mule kick, arrow fly kick, crossing of baulk
Endurance line. Crossing of Bonus line.
Agility 2. Skills of holding the raider: Various formations, catching from
Flexibility particular position, different catches, catching formation and
techniques.
3. Additional skills in raiding: Escaping from various holds, techniques
of escaping from chain formation, offense and defense.
4. Game practice with application of Rules and Regulations.
B. Rules and their interpretations and duties of the officials.
A. Fundamental skills
1. Skills in Chasing: Sit on the box (Parallel & Bullet toe method), Get
up from the box (Proximal & Distal foot method), Give Kho
(Simple, Early, Late & Judgment), Pole Turn, Pole Dive, Tapping,
Kho kho Hammering, Rectification of foul.
2. Skills in running: Chain Play, Ring play and Chain & Ring mixed
play.
3. Game practice with application of Rules and Regulations.
B. Rules and their interpretations and duties of the officials.
A. Fundamental skills
1. Skills in Raiding: Touching with hands, Use of leg-toe touch, squat
leg thrust, side kick, mule kick, arrow fly kick, crossing of baulk
line. Crossing of Bonus line.
2. Skills of holding the raider: Various formations, catching from
Kabaddi particular position, different catches, catching formation and
techniques.
3. Additional skills in raiding: Escaping from various holds, techniques
of escaping from chain formation, offense and defense.
4. Game practice with application of Rules and Regulations.
B. Rules and their interpretations and duties of the officials
YOGA
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER - III
Course Code: P22YOG309 Credits: 00
Teaching Hours/Week (L:T:P): 0:0:2 CIE Marks: 100
Total Number of Teaching Hours: SEE Marks: -
Course objectives:
1) To enable the student to have good health.
2) To practice mental hygiene.
3) To possess emotional stability.
4) To integrate moral values.
5) To attain higher level of consciousness.
Additional Mathematics - I
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – III (Lateral Entry: Common to all branches)
Course Code: P22MDIP301 Credits: 00
Teaching Hours/Week (L:T:P): 2-2-0 CIE Marks: 100
Total Number of Teaching Hours: 40 SEE Marks: -
Course Learning Objectives: The mandatory learning course P21MATDIP31 viz., Additional
Mathematics-I aims to provide basic concepts of complex trigonometry, vector algebra, differential &
integral calculus, vector differentiation and various methods of solving first order differential
equations.
UNIT-I
Complex Trigonometry: Complex Numbers: Definitions & properties. Modulus and amplitude
of a complex number, Argand’s diagram, De-Moivre’s theorem (without proof).
Vector Algebra: Scalar and vectors. Vectors addition and subtraction. Multiplication of 12Hrs
vectors (Dot and Cross products). Scalar and vector triple products-simple problems
Self-study components: De-Moivre’s theorem (without proof). Roots of complex number -
Simple problems.
UNIT-II
Differential Calculus: Polar curves –angle between the radius vector and the tangent pedal 10Hrs
equation- Problems. Taylors series and Maclaurin’s series expansions- Illustrative examples.
Partial Differentiation: Elimentary problems. Euler’s theorem for homogeneous functions of
two variables. Total derivatives-differentiation of composite and implicit function.
Self-study components: Review of successive differentiation. Formulae for nth derivatives of
standard functions- Liebnitz’s theorem (without proof). Application to Jacobians, errors &
approximations.
UNIT-III
Integral Calculus: reduction formulae for sin x, cosnx, and sinmxcosmx and evaluation of 10Hrs
n
Course Outcomes: After completing the course, the students will be able to
CO1: Demonstrate the fundamental concepts –in complex numbers and vector algebra to
analyze the problems arising in related area of engineering field.
CO2: Identify – partial derivatives to calculate rate of change of multivariate functions
CO3: Apply - the acquired knowledge of integration and differentiation to evaluate double and
triple integrals to compute length surface area and volume of solids of revolution and
indentify velocity, acceleration of a particle moving in a space
CO4: Find analytical solutions by solving first order ODE’s which arising in different branches
of engineering.
Text Book:
B.S. Grewal: Higher Engineering Mathematics, Khanna Publishers, New Delhi, 43rd Ed., 2015.
Reference books:
1. E. Kreyszig: Advanced Engineering Mathematics, John Wiley & Sons, 10th Ed., 2015.
2. N.P.Bali and Manish Goyal: Engineering Mathematics, Laxmi Publishers,7th Ed., 2007.
CO – PO – PSO Matrix
PO PSO
CO PS PS PS
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
O1 O2 O3
CO1 2
CO2 2
CO3 2
CO4 2
CO 2 2 2
No. of hours
Unit Syllabus content
Theory Tutorial
I Calculus of complex functions:
Introduction to complex variables. Definitions- limit, continuity,
differentiability and Analytic functions of f(z) : Cauchy- Riemann
equations in Cartesian and polar forms (no proof)-Harmonic function
and Problems. Applications to flow problems. Construction of analytic 06 02
functions when 𝑢 𝑜𝑟 𝑣 𝑜𝑟 𝑢 ± 𝑣 are given- Milne-Thomson method.
Conformal transformations: Introduction. Discussion of
transformations for 𝑊 = 𝑧 2 , 𝑊 = 𝑒 𝑧 , 𝑊 = 𝑧 + 1⁄𝑧 𝑧 ≠ 0
Self-Study: Derivation of Cauchy- Riemann equation in Cartesian and
polar form
II Complex integration:
Bilinear Transformations- Problems, line integrals of complex function.
Cauchy’s theorem, Cauchy’s integral formula. Taylor’s and Laurent’s
series (Statements only)- illustrative examples. Singularities, poles and 06 02
residues with examples, Cauchy’s Residues Theorem (statement only)-
Illustrative examples.
Self-Study:– Contour integration Type-I & Type-II problems
III Statistical Methods:
Statistics: Brief review of measures of central tendency and dispersion.
Moments, skewness and kurtosis.
Curve Fitting: Curve fitting by the method of least squares, fitting the
curves of the forms 𝑦 = 𝑎𝑥 + , 𝑦 = 𝑎b 𝑥 𝑎𝑛𝑑 𝑦 = 𝑎𝑥2+ 𝑏𝑥 + c. 06 02
Correlation and regression: Karl Pearson’s coefficient of correlation
and rank correlation- problems, Regression analysis, lines of regression
and problems.
Self-Study: Fit a curve of the form 𝑦 = 𝑎 + 𝑏x, y = a +bx+cx2
IV Probability and Distribution:
Random variables and Probability Distributions: Review of random
variables. Discrete and continuous random variables-problems.
06 02
Binomial, Poisson, Exponential and Normal distributions (with usual
notation of mean and variance)-: problems.
Joint Probability Distributions : Introduction, Joint probability and
TEXT BOOKS
1. B.S. Grewal, Higher Engineering Mathematics (44th Edition 2018), Khanna Publishers, New
Delhi.
2. E. Kreysizig, Advanced Engineering Mathematics, John Wiley and sons, 10th Ed. (Reprint)
2016.
REFERENCE BOOKS
1. V. Ramana: Higher Engineering Mathematics, McGraw –Hill Education,11th Ed..
2. H. C. Taneja, Advanced Engineering Mathematics, Volume I & II, I.K. International Publishing
House Pvt. Ltd., New Delhi.
3. N.P. Bali and Manish Goyal, A text book of Engineering Mathematics,
Laxmi Publications, Reprint, 2010.
ONLINE RESOURCES
1. http://www.nptel.ac.in
2. https://en.wikipedia.org
3. https://ocw.mit.edu/courses/18-03sc-differential-equations-fall-2011/
4. https://ocw.mit.edu/courses/18-06sc-linear-algebra-fall-2011/
5. https://math.hmc.edu/calculus/hmc-mathematics-calculus-online-tutorials/differential-
equations/first-order-differential-equations/
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
CO1 2 2
CO2 2 3
CO3 3 2
CO4 2 3
Strength of correlation: Low-1, Medium- 2, High-3
APPLIED THERMODYNAMICS
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – IV
Course Code: P22ME402 Semester: IV L-T-P: 3-0-0 Credits: 03
Contact Period - Lecture: 40Hrs. Exam: 3 Hrs. Weightage: CIE: 50%; SEE: 50%
Course Learning Objectives:
The objectives of this course are to,
Apply thermodynamic concepts to understand the working of air standard and vapor power cycles.
Determine the performance of air standard and vapor power cycles.
Describe the working of mechanical systems involving compressors, refrigerators and IC engines.
Determine the performance parameters of systems involving compressors, refrigerators and IC
engines.
Course Content
UNIT-I
Air Standard Cycles: Otto cycle and Diesel cycle: P-V and T-S diagrams, description and
efficiencies. Comparison of Otto and Diesel cycles. Brayton cycle for gas turbine power plants.
Deviations of practical gas turbine cycles from ideal cycles. Modified Brayton cycle like inter-cooling,
reheating and regeneration. Numerical Problems.
9 Hrs
Self study component: P-V and T-S diagrams, description of Dual cycle, Sterling cycle, Atkinson
cycle.
UNIT-II
Vapour Power Cycles: Carnot vapour power cycle and its performance. Simple Rankine cycle:
description, T-S diagram and expression for efficiency. Comparison of Carnot and Rankine cycles.
Effects of operating parameters on the performance of simple Rankine cycle. Deviation of simple
Rankine cycle from Ideal cycles. Reheat Cycle, Ideal regenerative cycle and practical regenerative
cycles with open and closed type feed water heaters, Numerical Problems.
9 Hrs
Self study component: Ideal cycles for jet propulsion, turbo jet cycle, turbo jet, ram jet and turbo
prop engines.
UNIT-III
Reciprocating Air Compressors: Working of single stage reciprocating air compressors, Work input
using P-V diagram and steady flow analysis. Effect of clearance volume on volumetric efficiency,
isothermal and mechanical efficiencies. Multistage compression, advantages of multistage
compression. Expression for optimum intermediate pressure with perfect and imperfect inter cooling.
Numerical Problems.
7 Hrs
Self study component: Brief explanation of rotary compressors, fans and blowers.
UNIT-IV
Refrigeration: Introduction, Units of refrigeration and COP, Refrigerants and Properties of good
refrigerants, refrigerating effect, capacity, power required to drive the compressor. Analysis of
Mechanical vapor compression refrigeration systems with T-s and P-h diagrams, effect of sub-cooling
and super-heating. numerical problems. Psychrometry: Psychrometric properties, relations,
processes, chart, summer and winter air conditioning systems, numerical problems.
8 Hrs
Self study component: Vapor absorption refrigeration system and steam jet refrigeration
UNIT-V
Testing of I.C. Engines: Testing of SI and CI engines. Performance factors, basic testing factors and
basic measurements for engine performance. Indicated power, friction power: Willian’s line method,
Morse test and motoring test. Brake power: principle of mechanical, hydraulic and eddy current
dynamometers. Fuel consumption: volumetric type. Air consumption: Air box method to determine air
consumption. Heat balance sheet and related numerical problems.
7 Hrs
Self-study component: Combustion in I C engines, delay period and factors affecting delay period.
Diesel knock and methods of controlling diesel knock.
Text Books
1. P.K.Nag, “Basic and Applied Thermodynamics”, Tata McGraw Hill, 2nd Edition 2009, ISBN:
9780070151314.
2. Yunus A. Çengel Michael A. Boles, “Thermodynamics–An engineering approach”, Tata
McGraw Hill, 6th edition, 2007, ISBN: 9780073305370.
Reference Books
1. Gordon J. Van Wylen, “Fundamentals of Classical Thermodynamics”, John Wiley and Sons
Canada, Limited, 3rd edition, 1988, ISBN: 9780471610762.
2. D B Spalding and E H Cole, “Engineering Thermodynamics”, Arnold 1973, 3rd edition, ISBN:
9780713132991.
3. R K Rajput, “Engineering Thermodynamics”, Laxmi Publications, 4th Edition, ISBN:
9788131800584.
4. S Domkundwar,C P Kothandaraman and V Domkundwar “ A course in Thermal Engineering”,
Dhanpat Rai and Co, 2004, ISBN: 9788177000214.
5. M.L.Mathurand R.P.Sharma, “Internal Combustion Engines”, Dhanpat Rai & Co, 2010, ISBN:
9788189928469.
6. Mahesh M Rathore, “Thermal Engineering”, Tata McGraw Hill, 1st Edition, 2010 ISBN:
9780070681132.
7. Ganesan, “Internal Combustion Engines”, Tata McGraw Hill, 4th edition, 2012, ISBN:
9781259006197.
e-Resources
1. https://www.youtube.com/watch?v=LUZrZJJ7zNQ
2. https://www.youtube.com/watch?v=lhilSmE2Ee0&list=PL6Qggk0O9yRItYPKm51jEnZoM-
mSOM4XA&index=2
3. https://www.youtube.com/watch?v=V3Cc_TkJh6Q&list=PL6Qggk0O9yRItYPKm51jEnZoM-
mSOM4XA&index=3
Course Outcomes: At the end of the course, students will be able to,
1. Apply the knowledge of thermodynamics to describe the different thermodynamic cycles.
2. Apply the basic principles of thermodynamics to describe the working of mechanical systems
involving various power producing and power absorbing machines.
3. Analyze the performance of air standard cycles and vapor power cycles.
4. Analyze the performance parameters of air compressors, refrigerators and I C engines.
MECHANICS OF MATERIALS
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – IV
Course Code: P22ME403 Semester: IV L-T-P: 3-0-0 Credits: 03
Contact Period - Lecture: 40 Hrs. Exam: 3 Hrs. Weightage: CIE:50%; SEE:50%
Course Learning Objectives:
The objectives of this course are to,
Understand the basic concepts of stress, strain and deformation of mechanical elements subjected to
axial, bending and torsional loads.
Analyze shear force, bending moment in beams and crippling load in columns.
Course Content
UNIT-I
Simple stresses and strains: Stress, types, Saint Venant’s principle, stress-strain curve for mild steel,
working stress, proof stress, factor of safety, Hooke’s law, modulus of elasticity, strain energy, proof
resilience, longitudinal strain, lateral strain, poison’s ratio, stress strain analysis of bars of uniform cross
section, stepped bars, circular bar with continuously varying section, principle of superposition.
Modulus of rigidity, bulk modulus, relation among elastic constants.
7 Hrs
Self study component: Rectangularbar with continuously varying section, volumetric strain.
UNIT-II
Compound bars: Stress analysis of composite bars. Thermal stresses in uniform and compound bars.
Compound stresses: Principal planes and stresses, plane of maximum shear stress in general 2D
system. Mohr’s circle diagram (2D).
8 Hrs
Self study component: Strain on inclined plane due to normal stress in X and Y directions.
UNIT-III
Shear force and Bending Moment Diagrams (SFD and BMD): Types of beams, loads and supports,
shear force and bending moment, sign conventions, point of contraflexure, and relationship between
load intensity, shear force and bending moment. SFD and BMD for different beams subjected to
concentrated loads, uniformly distributed load, uniformly varying load and inclined loads.
8 Hrs
Self study component: Applications of beams.
UNIT-IV
Bending and shear stresses in Beams: Theory of simple bending, assumptions in simple bending,
relationship between bending stresses and radius of curvature, relationship between bending moment
and radius of curvature, section modulus. Bending stresses in beams of uniform section. Shearing
stresses in beams, shear stress across rectangular, I and T sections. (Moment of Inertia to be provided
for numerical problems). Deflection of Beams: Introduction, Differential equation of deflection;
Flexural rigidity, Macaulay’s method for simply supported beams with point load and UDL.
9 Hrs
Self study component: Beam of uniform strength-uniform beam of rectangular section replaced by
beam of constant depth and width.
UNIT-V
Torsional stresses: Introduction to torsion, pure torsion, assumptions, derivation of torsional equation,
polar modulus, torsional rigidity and torque transmitted by solid and hollow circular shafts. Columns:
Introduction to Columns, Euler theory for axially loaded elastic long columns, Euler equation for
columns with Both ends hinged and Both ends fixed, Limitations of Euler’s theory, Rankine’s formula.
8 Hrs
Self study component: Euler equation for one end fixed and other end is free, and one end fixed and
the other end is hinged.
Text Books
1. S. S. Bhavikatti, “Strength of Materials”, Vikas Publication House-Pvt Ltd, 2nd edition, 2000, ISBN:
8125901647.
2. S. S. Rattan, “Strength of Materials”, Tata McGraw-Hill, New Delhi, 2nd Edition, 2011, ISBN:
9780071072564.
Reference Books
1. James M. Gere, Stephen P. Timoshenko, “Mechanics of Materials”, CBS Publishers and
Distributers Delhi. ISBN: 978-9390219421, 2016.
2. W.A. Nash, “Strength of Materials”, Schaum’s Outline Series, 4th Edition, 2007, ISBN:
9780070466173.
3. Dr. R. K. Bansal, “Strength of Materials”, Laxmi Publication, New Delhi, 5th Edition, 2007, ISBN:
9788131808146.
4. Ferdinand P Beer, E Russell Johnston, JR., John T DeWolf adapted by N Shivaprasad and S
Krishnamurthy, “Mechanics of Materials”, Tata McGraw-Hill.
5. Dr. B.C. Punmia, Ashok Kumar Jain and Arun Kumar Jain, “Mechanics of Materials”, Laxmi
Publications, New Delhi. 2002.
e-Resources
1.https://www.youtube.com/watch?v=GkFgysZC4Vc&list=PL27C4A6AEA552F9E6&ab_channel=npte
lhrd
2. https://www.youtube.com/watch?v=vC8h1RF-KYs&ab_channel=IITDelhiJuly2018
3.https://www.youtube.com/watch?v=tao5K9Kihrs&ab_channel=IITDelhiJuly2018
4.https://www.youtube.com/watch?v=pN8zj44_DoY&ab_channel=Mechanicsofsolids
5.https://www.youtube.com/watch?v=1txkFwWWYds&t=759s&ab_channel=StructuralAnalysis-I
6.https://www.youtube.com/watch?v=CnONQoxubLw&ab_channel=nptelhrd
7.https://www.youtube.com/watch?v=wJWt0dcgafs&ab_channel=nptelhrd
Course Outcomes: At the end of the course, students will be able to;
1. Apply the concepts of normal stresses, strain, shear stress, bending stress torsional stress and
buckling stress in mechanical components.
2. Apply the fundamentals of thermal stress and compound stresses in bars of uniform and compound
section.
3. Analyse the uniform, stepped, compound bars, beams for different cross section and columns.
4. Analyse the beams for deflection using Macaulay’s method.
MANUFACTURING PROCESS-II
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – IV
Course Code: P22ME404 Semester: IV L-T-P: 3-0-2 Credits: 04
Total Theory Teaching Hours: 40 Exam: 3 Hrs. Weightage: CIE: 50 %;SEE: 50%
Total Laboratory Hours: 24
Course Learning Objectives:
The objectives of this course are to,
• Understand the basic metal forming processes of forging, rolling, extrusion, drawing, sheet metal
forming and powder metallurgy.
• Give complete insight regarding the mechanical equipment and operations involved to fulfil various
applications.
Course Content
UNIT-I
Introduction to Metal Working: Classification of metal working processes, characteristics of wrought
products, advantages and limitations of metal working processes. Effect of parameters in metal forming
process-Temperature, strain rate, friction and lubrication, hydrostatic pressure in metal working,
Deformation zone geometry, workability of materials, residual stresses in wrought products.
8 Hrs
Self study component: Concepts of biaxial and triaxial stresses, plane stress and plane strain.
UNIT-II
Forging and Rolling: Classification of forging processes, forging machines and equipments, Forging die-
design parameters. Material flow lines in forging. Forging defects, Residual stresses in forging,
advantages and dis-advantages of forging. Classification of Rolling processes. Rolling mills, Defects in
rolled products, Rolling variables roll camber.
8 Hrs
Self study component: Hand forging equipments and operations.
UNIT-III
Extrusion and Drawing: Types of Extrusion, Extrusion variables, Extrusion dies. Seamless tube
extrusion, Lubrication in Extrusion, Deformation of metal flow in extrusion, Defects in extruded
products. Drawing equipment, Elements of drawing Die, dead zone formation, drawing variables, Tube
drawing-classification of tube drawing.
8 Hrs
Self study component: Extrusion of brittle metals.
UNIT-IV
Sheet Metal Forming: Sheet metal forming methods, Dies and Punches-classification of dies. Open back
inclinable press, Limiting drawing ratio in drawing, Forming limit criterion, Defects in deep drawn
products. High energy rate forming (HERF) - Explosive forming, electro magnetic forming, electro
hydraulic forming.
8 Hrs
Self study component: Parameters affecting drawability.
UNIT-V
Powder Metallurgy: Basic steps in powder metallurgy, methods of powder production, Characteristics of
metal powder. Conditioning and blending powders, Compacting metal powders, Sintering-sintering
mechanism, Isostatic pressing, types of isostatic pressing, finishing operations of powder metallurgy parts,
advantages, disadvantages and applications of powder metallurgy.
8 Hrs
Reference Books
1. I. C. Gupta, “Engineering Metrology”, Dhanpat Rai Publications, 7th Edition, 2012, ISBN:
9788189928452.
2. Alsutko and Jerry Faulk, “Industrial Instrumentation”, Delmar cengage learning, 1996, ISBN:
9780827361256.
3. R. S. Sirohi and H. C. Radha Krishna, “Mechanical Measurements”, New Age International,
Revised 3rd Edition, 2013, ISBN: 9788122403831.
4. Doblin, “Measurement Systems”, Tata McGraw Hill, 6th Edition, 2012, ISBN: 9780070699687.
e-Resources
1. https://youtu.be/HpIEeBtJupY
2. https://youtu.be/-_qz8_sbhwY
3. https://youtu.be/uAntebtIgCY
4. https://youtu.be/rbk28swIiHU
5. https://youtu.be/OcbkOvjZujU
6. https://youtu.be/fbk0_nPNUTE
7. https://youtu.be/zmxjlFEcCUM
8. https://youtu.be/Hi7NUJdznc0
9. https://youtu.be/2vgkxHe_24g
10.https://youtu.be/TyM28gmhJcc
Course Outcomes: At the end of the course, students will be able to,
1. Apply fundamentals of metrology and measurement
2. Design tolerances and fits for selected product quality
3. Analyze appropriate method and instruments for inspection of various mechanical systems.
4. Make use of experimental data for writing a report as an individual or as a team member to
communicate effectively.
Course Articulation Matrix
Course Outcomes Program Outcomes PSO
1 2 3 4 5 6 7 8 9 10 11 12 01 02
CO1 Apply fundamentals of
metrology and 3
measurement.
CO2 Design tolerances and fits
for selected product 3
quality.
CO3 Analyze appropriate
method and instruments
3
for inspection of various
mechanical systems.
CO4 Make use of
experimental data for
writing a report as an
3 3
individual or as a team
member to communicate
effectively.
Self-study Mensuration
component:
UNIT – II 06 Hours
Quantitative Aptitude: Alligations and Mixtures, Ratios, Proportions and Variations.
Logical Reasoning: Seating Arrangement, Data Arrangement.
CO1 2 2
CO2 2 2
CO3 2 2
CO4 2 2
Internship - I
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – IV
Course Code: P22INT408 Credits: 02
Teaching Hours/Week (L:T:P): 0:0:2 CIE Marks: -
Total Number of Teaching Hours: - SEE Marks: 100
All the students registered to II year of BE shall have to undergo a mandatory internship of 02
weeks during the intervening vacation of II and III semesters or III and IV semester. Internship
shall include Inter / Intra Institutional activities. A Semester End Examination (Presentation
followed by question-answer session) shall be conducted during IV semester and the prescribed
credit shall be included in IV semester. The internship shall be considered as a head of passing and
shall be considered for the award of degree. Those, who do not take up / complete the internship
shall be declared fail and shall have to complete during subsequent Semester End Examination
after satisfying the internship requirements. (The faculty coordinator or mentor has to monitor the
students’ internship progress and interact to guide them for the successful completion of the
internship.)
PHYSICAL EDUCATION
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER - IV
Course Code: P22PED409 Credits: 00
Teaching Hours/Week (L:T:P): 0:0:2 CIE Marks: 100
Total Number of Teaching Hours: - SEE Marks: -
Fitness Components Track Events
1.1. Starting Techniques: Standing start and Crouch start (its variations)
use of Starting Block.
1.2. Acceleration with proper running techniques.
Athletics 1.3. Finishing technique: Run Through, Forward Lunging and Shoulder
Track- Sprints
Shrug.
Jumps- Long Jump
Throws- Shot Put Long Jump: Approach Run, Take-off, Flight in the air (Hang Style/Hitch
Kick) and Landing
Shot put: Holding the Shot, Placement, Initial Stance, Glide, Delivery
Stance and Recovery (Perry O’Brien Technique.
A. Fundamental skills
1. Service: Under arm service, Side arm service, Tennis service,
Floating service.
Kho kho 2. Pass: Under arm pass, Over head pass.
3. Spiking and Blocking.
4. Game practice with application of Rules and Regulations
B. Rules and their interpretation and duties of officials.
A. Fundamental skills:
Overhand service, Side arm service, two hand catching, one hand
overhead return,side arm return.
B. Rules and their interpretations and duties of officials
Throw ball 110 Mtrs and 400Mtrs:
Athletics Hurdling Technique :Lead leg Technique, Trail leg Technique ,Side
Track- 110 &400 Mtrs Hurdling, Over the Hurdles
Hurdles
Crouch start (its variations) use of Starting Block.
Jumps- High Jump
Throws- Discuss Approach to First Hurdles, In Between Hurdles, Last Hurdles to
Throw Finishing.
High jump: Approach Run, Take-off, Bar Clearance (Straddle) and
Landing.
Discus Throw: Holding the Discus, Initial Stance Primary Swing, Turn,
Release and Recovery (Rotation in the circle).
YOGA
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER - IV
Course Code: P22YOG409 Credits: 00
Teaching Hours/Week (L:T:P): 0:0:2 CIE Marks: 100
Total Number of Teaching Hours: - SEE Marks: -
Course objectives:
6) To enable the student to have good health.
7) To practice mental hygiene.
8) To possess emotional stability.
9) To integrate moral values.
10) To attain higher level of consciousness.
Additional Mathematics - II
[As per Choice Based Credit System (CBCS) & OBE Scheme]
SEMESTER – IV (Lateral Entry: Common to all branches)
Course Code: P22MDIP401 Credits: 00
Teaching Hours/Week (L:T:P): 2-2-0 CIE Marks: 100
Total Number of Teaching Hours: 40 SEE Marks: -
Course Objectives: The mandatory learning course: P21MATDIP401 viz., Additional
Mathematics-II aims to provide essential concepts of linear algebra, introductory concepts of
second & higher order differential equations along with various techniques/ methods to solve them,
Laplace & inverse Laplace transforms and elementary probability theory.
UNIT-I
Linear Algebra: Introduction - Rank of matrix by elementary row operations - Echelon
form of a matrix. Consistency of system of linear equations - Gauss elimination method.
Gauss-Jordan and LU decomposition methods. Eigen values and Eigen vectors of a square
matrix. 10 Hrs
Self-study Components: Application of Cayley-Hamilton theorem (without proof) to
compute the inverse of a matrix-Examples.
UNIT-II
Higher order ODE’s: Linear differential equations of second and higher order equations 14 Hrs
with constant coefficients. Homogeneous /non-homogeneous equations. Inverse differential
operators. and variation of parameters. Solution of Cauchy’s homogeneous linear equation
and Legendre’s linear differential equation.
Self-study Components: Method of undetermined coefficients
UNIT-III
Multiple Integrals: Double and triple integrals-region of integration. Evaluation of double 10 Hrs
integrals by change of order of integration.
Vector Integration: Vector Integration: Integration of vector functions. Concept of a line
integrals, surface and volume integrals. Green’s, Stokes’s and Gauss theorems (without
proof) problems.
Self-study Components: Orthogonal curvilinear coordinates.
UNIT-IV
Laplace transforms: Laplace transforms of elementary functions. Transforms of 12Hrs
derivatives and integrals, transforms of periodic function and unit step function-Problems
only. Inverse Laplace transforms: Definition of inverse Laplace transforms. Evaluation of
Inverse transforms by standard methods.
Self-study Components: Application to solutions of linear differential equations and
simultaneous differential equations..
UNIT-V
Probability: Introduction. Sample space and events. Axioms of probability. Addition and 06Hrs
multiplication theorems. Conditional probability – illustrative examples.
Self-study Components: State and prove Bayes’s theorem
Course Outcomes: After completing the course, the students will be able to
CO1: Apply matrix theory for solving systems of linear equations in the different areas of
linear algebra.
CO2: Solve second and higher order differential equations occurring in of electrical
circuits, damped/un-damped vibrations.
CO3: Identify - the technique of integration evaluate double and triple integrals by change of
variables, and vector integration technique to compute line integral
CO4: Explore the basic concepts of elementary probability theory and, apply the same to
the problems of decision theory,
Text Book:
B.S. Grewal: Higher Engineering Mathematics, Khanna Publishers, New Delhi, 43rd Ed., 2015.
Reference books:
1. E. Kreyszig: Advanced Engineering Mathematics, John Wiley & Sons, 10th Ed., 2015.
2. N.P.Bali and Manish Goyal: Engineering Mathematics, Laxmi Publishers,7th Ed., 2007.
CO – PO – PSO Matrix
PO PSO
CO PSO
PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2
3
CO1 2
CO2 2
CO3 2
CO4 2
CO 2 2 2