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    SEMESTER-II

    DETAILED SYLLABUS

    CourseCode

    GS-106

    CreditHours(Th-Pr)

    3-0

    Ordinary and Partial DifferentialEquations

    ContactHrs/Week

    (Th-Pr)

    3-0

    TotalContact Hrs

    (Th-Pr)

    54-0

    Course Outline:

    Solution of differential equations by various methods and their applications, higher orderdifferential equations with engineering applications, Series Solution of Differential Equations,Laplace Transformation. Partial differential equation and its different methods withapplications in the field of engineering.

    Prerequisite(s): GS-103

    Recommended Books

    S.No.

    TitleAuthor(s)

    AssignedCode

    Remarks

    1. Advanced EngineeringMathematics

    E Kreyszig KRE Text

    2. Higher EngineeringMathematics

    B S Grewal GRE Reference

    3. Advanced EngineeringMathematics

    D G. Zill & M R. Cullen CUL Reference

    4. Elementary Differential

    Equations with BoundaryValue Problems

    Jr. David E. Penney & C.H. Edwards EDW

    Reference

    5. Laplace Transforms andApplications

    E J Watson WAT Reference

    Course Aim:

    The aim of this course is to enable the students to:

    Instill fluency with the basic Mathematical techniques of Ordinary and PartialDifferential Equations which are needed as tools for engineers.

    Revise, and teach afresh where necessary, about solution of Ordinary differentialequations, which are necessary for the engineering courses.

    Introduce new topics including second & higher order differential equations, SeriesSolution of Differential Equations and partial differential equations with engineeringapplications which are necessary for these courses.

    Place emphasis throughout upon the grasp of essentials and competency inmanipulation.

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    Course Objective:

    At the end of the course students should be able to:

    Recognize the appropriate Mathematical tools and techniques of Ordinary and PartialDifferential Equations with which to approach a wide variety of engineering problems.

    Specify a Mathematical representation of a problem.

    Carry out appropriate Mathematical manipulations by using techniques of Ordinaryand Partial Differential Equations to solve the engineering problems.

    Interpret the significance of the Mathematical result.

    Topics Covered:

    S No Topics Author(s) Contact Hrs

    1. First Order Ordinary Differential Equations. Basicconcepts, Practical approach, Formation and Geometricalmeaning of differential equation. Solution of Differential

    Equation, Variables separable methods, Homogeneousequations, Linear equations and Bernoullis equation, Exactdifferential equation, Application- Simple electric circuits,Newtons law of cooling and Heat flow.

    GRE,KRE, PRI

    PEN &

    CUL

    10

    2.. Second and Higher Order Linear Differential Equationsand their Applications: Homogeneous linear equations,Homogeneous equations with constant coefficients, Case ofcomplex roots, Complex exponential functions, Differentialoperators, Non- Homogeneous equations Solutions byundetermined coefficients, Solution by variation of

    parameter, Applications-Simple harmonic motion,Oscillatory electrical circuit.

    GREKRECULEDW

    12

    3. Series Solution of Differential Equations. Theory ofpower series method, Frobenius method, Legendresequation and Legendres polynomials, Bessels equationand Bessels functions with properties,

    GRE,KRE,CUL,

    EDW &PRI

    08

    4. Laplace Transformation. Laplace transformation, InverseLaplace and its linearity, Transforms of derivatives andintegrals, s-shifting, t-shifting and unit step function,

    Differentiation and integration of transform, Convolution-Integral equation, Partial fractions-System of differentialequations, Periodic functions with applications. Laplacetransformation as a method for solving differentialequations.

    GREKRECUL

    EDWPRI

    10

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    5. Partial Differential Equations.Introduction, Formation andsolution of Partial Differential Equations Linear and non-linear first order Partial Differential Equations and theirsolutions, Separation of variables, Application: Onedimensional Wave equation and its solution by separationof variable method, One dimensional heat flow, Twodimensional heat flow, Two dimensional Wave equation.

    GREKRECULEDW

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    DETAILED SYLLABUS

    CourseCode

    GS-104

    CreditHours(Th-Pr)

    2-0

    Linear Algebra, Vector Calculus &Tensor Analysis

    ContactHrs/Week

    (Th-Pr)2-0

    TotalContact Hrs

    (Th-Pr)36-0

    Course Outline:Matrix algebra, Linear systems of equations , Determinants, Cramers Rule, Eigen values,Eigen vectors, Symmetric, Skew Symmetric and Orthogonal matrices, Hermitian, SkewHermitian and Unitary matrices. Concept of vector and Vector field, Vector differentiation,Space curves, Frenet formula, Gradient, Divergence, Curl, Vector Integration, Orthogonalcurvilinear coordinates system, Spherical Cylindrical coordinates systems. Scope andconcept of tensor analysis, Addition of tensors, Summation conventional inner product oftensors, Contraction of tensors, Quotient Law, The metric tensors, Christofel Symbols, andTensor Field.

    Pre-requisites: College Level Knowledge of Mathematics.

    Recommended Books

    S.No.

    Title Author(s)Assigned

    CodeRemarks

    1.Advanced EngineeringMathematics

    E. Kreyszig KREText

    2. Higher Engineering Mathematics B. S. Grewal GRE Reference

    3.Advanced EngineeringMathematics

    D. G. Zill & M. R.Cullen

    CULReference

    4. Engineering Mathematics (Vol-II) S. S. Sastry SAS Reference

    5.Further EngineeringMathematics

    K. A. Stroud STRReference

    6. Elementary Linear Algebra Howard Anton ANT Reference

    7 Tensor Calculus andRiemannian Geometry.

    D.C. AgarwalReference

    8. Vector Analysis and TensorAnalysis -Schaums OutlineSeries

    Murray R SpiegelReference

    Course Aim:

    The aim of this course is to enable the students to:

    Instill fluency with the basic Mathematical techniques of Linear Algebra, VectorCalculus & Tensor Analysis which are needed as tools for engineers.

    Revise, and teach afresh where necessary, about Matrix algebra, Linear systems ofequations, Determinants, and Cramers Rule, which are necessary for the engineeringcourses,

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    Introduce new topics including vector calculus and Tensor Analysis with engineeringapplications which are necessary for these courses.

    Place emphasis throughout upon the grasp of essentials and competency inmanipulation.

    Course Objective:

    At the end of the course students should be able to:

    Recognize the appropriate Mathematical tools and techniques of Linear Algebra/Vector Calculus & Tensor with which to approach a wide variety of engineeringproblems.

    Specify a Mathematical representation of a problem.

    Carry out appropriate Mathematical manipulations by using techniques of LinearAlgebra /Vector Calculus & Tensor Analysis to solve the engineering problems.

    Interpret the significance of the Mathematical result.

    Topics Covered

    No. TopicsText

    BooksContact

    Hrs

    1. Matrices & Determinants. Matrix algebra, Linear systems ofequations - Gauss elimination, Rank of a matrix, LinearSystems; General properties of solutions, Inverse of a matrix,Determinants, Rank in terms of determinants. Cramers Rule,Eigen values, Eigen vectors, Symmetric, Skew Symmetric andOrthogonal matrices, Hermitian, Skew Hermitian and Unitarymatrices.

    KREANT

    10

    2. Vector Calculus: Concept of vector and Vector field, Vectordifferentiation, Curves in Space, Velocities and tangents,

    Acceleration and Curvature, Arc length of curve and its re-parameterization, Tangent /Normal component of Velocity and

    Acceleration, Frenet formula for unit and arbitrary speed curve.Vector and Scalar point function, Gradient its interpretation,Directional derivative, divergence, curl , Integration of Vectors,Line integral and its application, Surface Integration, Gaussdivergence theorem, Greens theorem, Stokes theorem andVolume integral, Orthogonal curvilinear coordinates system

    GRE,KRE,

    CUL &STR

    18

    3. Tensor Analysis: Scope of tensor analysis, Invariancetransformation of coordinates, Concept of tensor, Rank oftensor contra and covariant tensor. Symmetric and SkewSymmetric tensors, Addition of tensors, Summationconventional inner product of tensors, Contraction of tensors,Quotient Law, The metric tensors, Christoffel Symbols,Transformation of Christoffel symbols, Covariant differentiationof contra and Covariant tensor. Tensor Field.

    GRE &SAS

    08

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    DETAILED SYLLABUS

    CourseCode

    EE 122

    CreditHours(Th-Pr)(3-1)

    Basic Electrical Engineering

    ContactHrs/Wk(Th-Pr)(3-3)

    TotalContact Hrs

    (54-54)

    Course Outline:

    Basic electrical parameters, energy, charge, current, voltage, resistance, inductance andcapacitance. Dependent and independent current and voltage source. Circuit laws andtheorems. Magnetic field, magnetic circuits and electromagnetism. DC excited RC and RLcircuits. Fundamentals of single phase and three phase systems. Working principle oftransformer.

    Prerequisite(s): College Level Knowledge of Physics.

    Recommended Books

    S No TitleAuthor (s)

    AssignedCode

    Remarks

    1. Electrical Technology Edward Hughes HUG Text

    2. Principles of Electric circuits Floyd FLO Reference

    Course Objectives:

    To explain sources and circuit parameters of electrical systems, circuit laws and theoremsgoverning electric circuits. Electromagnetism, electrostatics, and AC fundamentals are alsoincluded to lay a strong foundation of electrical engineering.

    Topics Covered

    S No Topics TextBook

    ContactHrs

    1. Basic Concepts and Circuit Elements. System of units.Energy. Electric Charge, current, electromotive force andpotential difference. Ohms Law. Resistors, conductors andinsulators. Active and passive circuit elements. Dependentand independent current and voltage sources.

    HUGFLO

    13

    2. Simple DC Circuits. Series circuits, Parallel networks.Kirchhoffs laws. Power and energy. Resistivity.Temperature co-efficient of resistance.

    HUGFLO

    7

    3. Capacitance and Capacitors. Hydraulics analogy.Capacitance. Charging and discharging, series and parallelconnection of capacitors. Relative permittivity dielectricstrength.

    HUG 5

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    4. Electromagnetism & magnetic Circuits. Magnetic fieldand flux due to and electric current. Solenoid. Force oncurrent carrying conductor. Magnitude and direction ofinduced emf Magneto motive force, field strength andreluctance. Comparison of electric and magnetic circuits.Determination of B/H Characteristic.

    HUG 9

    5. Inductance in a DC Circuit. Inductive and non-inductivecircuit. Inductance of air-cored & iron-cored coil. Growthand decay of current in LR circuit. Energy storage. Mutualinductance and coupling co-efficient.

    HUG 7

    6. AC Fundamentals. Generation of single phase and threephase alternating emf, Relationship between frequency,speed and number poles. RMS, average, instantaneousand Peak Values of sinusoidal waveform. Voltages andcurrents in star and delta circuits. Inductive reactance andimpedance of RL load. Phasor representation of alternating

    quantity. Active, reactive and apparent powers, powerfactor and power triangle. Working principle of transformer.

    HUG 13

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    List of Practicals

    EE 122 Basic Electrical Engineering

    SNo

    Practicals LabHours

    1. Using the Multimeter. Resistance colour code. Resistance

    Measurement by Meter.

    3

    2. Electric Shock and Safety Rules. (a) Measurement of resistancebetween various parts of the body. (b) Rules for safe practice to avoidelectric shock.

    3

    3. Power Supplies, Instruments and equipment. To learn how to usethe ac/dc power supplies, instruments and related equipments.

    3

    4 Measurement of DC Voltage and DC Current. Using Voltmeter.Measuring Voltage and Current. Control of Current by Resistance and

    Voltage.

    3

    5. OHM'S Law. Ohm's law. Voltage Divider. 3

    6. Series-Parallel Circuits. Characteristics of Series-Parallel Circuits 3

    7. Kirchhoff's Laws. Kirchhoffs Voltage Law. Kirchhoffs Current Law. 3

    8. Voltage-Current Characteristics. Voltage-Current Characteristics offilament lamps (tungsten, carbon) and radiant heater.

    3

    9 Capacitors. Capacitor testing and identification. Capacitor charge anddischarge (RC Time Constants).

    3

    10. Electric Current and Magnetism. Magnetic Field Produced aroundCurrent-carrying conductor.

    4

    11. Induced Force. Force produced on a current carrying conductor lying ina magnetic field.

    4

    12. Electromagnetic Induction. Inducing voltage in a coil. Polarity ofinduced voltage. Magnitude of induced voltage.

    4

    13. AC voltage and current measurement. To measure the effectivevalue of an alternating voltage. To learn the use of ac voltmeters andammeter. To verify Ohms law for ac circuits.

    4

    14. Measuring AC with Oscilloscope. To learn the Oscilloscope Controls.Measuring ac and dc voltages and frequency.

    5

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    15 Phase angle, Real and Apparent Power. To study the meaning ofphase angle. To study the relationship between real and apparentpower.

    2

    16. Capacitive Reactance and Inductive Reactance. To study behaviourof capacitor and inductor in ac circuits, capacitive reactive power andinductive power.

    4

    Note: Following books/manual form the basis for above laboratory practical:

    1) Labvolt Manual

    2) Electricity-Electronics Fundamentals (A text Lab Manual) by Zbar and Sloop (McGrawHill)

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    No. TopicsTextBook

    TotalContact

    Hrs

    4Drilling and Grinding Machines: Introduction to Drilling andGrinding machines, their cutting tools, and their upkeep.

    PT 2

    5

    Welding: Introduction and demonstration of Electric Arc and

    Gas welding tools, equipment and their correct method ofusage. Safeties during welding

    LS 3

    6

    Electrical Shop: Electrical shocks and treatment. Use andcare of electrical tools. Types and uses of cables and electricalaccessories for house wiring. Practice in simple house wiringand testing methods. Switch gear on domestic installationsand distribution system.

    CHA &GW

    3

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    LIST OF PRACTICALS/DEMONSTRATIONSME 140 ENGINEERING PRACTICE-I

    No. Practicals/Demonstrations

    TotalContact

    Hrs

    1 Practice of using different tools for Carpentry 22 To make a Tee/Lap joint 2

    3 To make a Dovetail/dado joint 2

    4 To make a knife rack 2

    5 Practice of using different tools for Filing and Fitting. 2

    6 Sawing practice on MS plate(sawing plate) 2

    7 To make a two step fitting 2

    8 To make a Square inset 2

    9 Practice of cutting, punching, drilling and bending sheet metal 2

    10Simple project ( pattern or model) of sheet metal using the skills

    of cutting , punching , drilling and bending at given angle4

    11To make a house number/roll number/personal number plate on

    engraving machine2

    12 Practice of welding using arc and gas welding sets. 2

    13 Simple joint using arc welding (e.g. Butt Joint) 4

    14 Simple joint using oxyacetylene welding (e.g. Lap Joint) 4

    15 Electrical Shop 6

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    DETAILED SYLLABUS

    CourseCode

    ME 110

    Credit Hours(Th-Pr)

    3-0

    Thermodynamics - I

    ContactHrs/Week(Th-Pr)

    3-0

    TotalContact Hrs

    (Th-Pr)54-0

    Course Outline:Basic concepts of thermodynamics and definitions, Process & cycles, concept ofthermodynamics property and definition of state, First law of thermodynamics to closedsystems, Work and heat as energies in transition, Interchange ability of energy states. Firstlaw of thermodynamics to control volumes, Working fluids and steady / Unsteady flow energyequations, Perfect and real gases, Second law of thermodynamics, Reversible an irreversibleprocesses, Entropy & Carnot efficiency, concept of available energy.

    Prerequisites: GS102, GS101

    Recommended Books

    S. No. Title Author(s)Assigned

    CodeRemarks

    1.EngineeringThermodynamics

    D.B Spalding & E H Cole COLText

    2. Thermodynamics Y A Cengel and M A Boles BOLReference

    3.EngineeringThermodynamics

    G. F. C. Rogers and Y. R.Mayhew

    MAYReference

    Course Objectives:To prepare students for pursuing advanced Thermodynamics and Applied ThermodynamicsSubjects at PNEC, so as to satisfy requirements for an Engineering Degree.Topics Covered

    No. TopicsText

    BookContact

    HrsBasic concepts of thermodynamics and definitions.Process & cycles, concept of thermodynamics propertyand definition of state: Definition of Thermodynamics.Thermodynamic Equilibrium, process, path and cycle.

    Properties and difference of extensive and intensive properties.Phase control volume. Basic measurements and S. I. Units forlength, mass, times, force, weight specific volume, density andpressure, system and macro and microstates. Definition of workand its sign convention. Displacement work. Cost V, P,processes and their work. Indicator Diagram and its use. Meaneffective pressure and indicated power concepts. Equality andinequality of Temperature. Zeroths Law of thermodynamics.Empirical, absolute and international scales of temperature.Definition and measurement of Heat. Modes of Heat transfer,

    Adiabatic process and Adiabatic boundary.

    COL 14

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    2

    First law of thermodynamics to closed systems, Work andheat as energies in transition, Interchange ability of energystates: Mechanical Equivalent of Heat. FirstLaw and conceptof energy. Energy of and forms of energy, Law of conservationof energy, Pure substance and two property rule. Concept ofinternal energy and enthalpy. Processes of a pure substance

    COL 8

    3 FirstLawofThermodynamics to ControlVolumes: Controlvolume and concept of external work. COL 4

    4

    Working Fluids and steady / Unsteady flow energyequations, Perfect and real gases: Steady and unsteady flowconcepts. Derivation of steady flow energy equation. ContinuityEquation. Examples of Boiler, Super heater, evaporator,condenser, nozzle, diffuser, turbine and compressors andthrottling

    COL 4

    5

    Second Law of Thermodynamics: Second Law ofThermodynamics, Perpetual motion machine and definition ofdirect and reversed engines. Efficiency and co-efficient of

    performance.

    COL 4

    6Reversible and irreversible process and cycles.

    COL2

    7

    Entropy & Carnot cycle: The concept of Entropy. Carnotcycle and its analysis Absolute Temperature Scale andClausius and Kelvin Planck statements. Second law applied tonon-cycle processes. Definition of Entropy, its significance.Clausius inequality and discussion of entropy. Reversible andirreversible processes. Superiority of reversible process andconcept of isentropic process. Entropy of pure substance.Boyles Joules and Charless laws. Molar gas constant and

    Molecular mass. Equation of State and gas constant. Relationbetween Cp Cv and R. Perfect Gas, and its properties.Isentropic, adiabatic, Polytropic and isothermal processes ofperfect gases.

    COL 14

    8 Concept of available energy. COL 4

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    DETAILED SYLLABUS

    CourseCode

    HS103

    Credit Hours(Th-Pr)

    2-0

    Communication &Interpersonal Skills

    ContactHrs/Week

    (Th-Pr)2-0

    TotalContact Hrs

    (Th-Pr)36-0

    Course Outline:Explanation and practice of English (speaking, listening, reading and writing) skills, Lecturelistening and note-taking strategies, oral communications skills improved through discussionsand seminars, vocabulary development, written communication - journals, essays, technicalreport, research papers.

    Prerequisite(s): College level knowledge of English.

    Recommended Book

    S No Title Author (s)Assigned

    Code

    Remarks

    1Anchor in English-II(Lessons 1 - 5)

    A SPELT Publication AIEText

    2 Summary Writing (Book-I) Christopher Fry (OUP) FRY Reference

    3Speaking Clearly (StudentsBook)

    Pamela Rogerson &Judy B Gilbert

    GIL-1Reference

    4Speaking Clearly (TeachersBook)

    -- GIL-2Reference

    5Speaking Clearly (Set of 2audio-cassettes)

    -- GIL-3Reference

    6 Basic Technical Writing Herman M. Weisman WEI Reference

    7 Oxford Dictionary - OUP Reference8 Intermediate English Course

    Linguaphone Institute,London

    LINReference

    Course Objectives:The main objective of the course is to enable students through improvement of their reading,writing, listening and speaking skills to communicate effectively in their day-to-day dealingsboth as students as well as engineers in their practical life. The course also aim at enablingthe students to enhance their technical writing skills and equipping them with fairly goodvocabulary.

    Topics Covered:

    No. TopicsText

    BookContact

    Hrs

    1 Explanation and practice of English (speaking, listening, readingand writing) skills, Lecture listening and note-taking strategies, oralcommunications skills improved through discussions andseminars: The rationale and importance of Communication Skillsfor Engineers in practical life. Improvement of students speakingpower, building their confidence and helping them overcome their

    AIE,FRY,GIL-1,GIL-2,GIL-3,WEI

    8

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    stage fright through following activities: Individual presentations bystudents on assigned topics with a short question-answer sessionafter each presentation. Group discussion. Impromptu talk bystudents on topics of common interest. Seminars.

    2

    Reading of lessons 1 to 5 of the prescribed textbook andexercises on reading comprehension.Improvement of listening skills by assigning students various

    tasks/exercises after listening to pre-recorded audio cassettes inorder to help them listen more accurately and efficiently to avariety of authentic and semi-authentic recordings.

    AIE

    LIN

    8

    3

    Essay writing with emphasis on techniques for clear and effectivethinking and the three stages - planning, writing and revising.Writing technical reports/research papers with guideline onresearching a subject, organising information/data making anoutline, formatting and completing elements/parts of thereport/research papers. Prcis (summary) writing, its importance inpractical life and method/procedure of writing an effective prcisfollowed by practice by students.

    WEI,OUP

    8

    4

    Letter writing: Secrets of good letter writing, Handling yourpersonal correspondence, give your letters the right look. LetterWriting Exercises: including business letters and letters seekingemployment with emphasis on format and style. Resume writingwith emphasis on the format of the three types of resume, that is,chronological, functional and chrono-functional resume.

    WEI,OUP

    7

    5Vocabulary Building: Students to be guided on quick and easyways of vocabulary building.

    OUP 5