Applied Mathematics III |

Laplace Transform 12 1.1 Laplace Transform (LT) of Standard Functions: Definition. unilateral and bilateral Laplace Transform, LT of sin(at), cos(at), eat ,tn , sinh(at), cosh(at), erf(t), Heavi-side unit step, dirac-delta function, LT of periodic function 1.2 Properties of Laplace Transform: Linearity, first shifting theorem, second shifting theorem, multiplication by t n , division by t , Laplace Transform of derivatives and integrals, change of scale, convolution theorem, initial and final value theorem, Parsavel’s identity 1.3 Inverse Laplace Transform: Partial fraction method, long division method, residue method 1.4 Applications of Laplace Transform: Solution of ordinary differential equations 2.0 Fourier Series 10 2.1 Introduction: Definition, Dirichlet’s conditions, Euler’s formulae 2.2 Fourier Series of Functions: Exponential, trigonometric functions, even and odd functions, half range sine and cosine series 2.3 Complex form of Fourier series, orthogonal and orthonormal set of functions, Fourier integral representation 3.0 Bessel Functions 08 3.1 Solution of Bessel Differential Equation: Series method, recurrence relation, properties of Bessel function of order +1/2 and -1/2 3.2 Generating function, orthogonality property 3.3 Bessel Fourier series of functions Vector Algebra 12 4.1 Scalar and Vector Product: Scalar and vector product of three and four vectors and their properties 4.2 Vector Differentiation: Gradient of scalar point function, divergence and curl of vector point function 4.3 Properties: Solenoidal and irrotational vector fields, conservative vector field 4.4 Vector Integral: Line integral, Green’s theorem in a plane, Gauss’ divergence theorem, Stokes’ theorem 5.0 Complex Variable 10 5.1 Analytic Function: Necessary and sufficient conditions, Cauchy Reiman equation in polar form Harmonic function, orthogonal trajectories 5.3 Mapping: Conformal mapping, bilinear transformations, cross ratio, fixed points, bilinear transformation of straight lines and circles |

Text books: 1. P. N. Wartikar and J. N. Wartikar, “A Text Book of Applied Mathematic”, Vol. I & II, Vidyarthi Griha Prakashan 2. A. Datta, “Mathematical Methods in Science and Engineering”, 2012 3. B.S. Grewal, “Higher Engineering Mathematics”, Khanna Publication |

Internal Assessment (IA): Two tests must be conducted which should cover at least 80% of syllabus. The average marks of both the tests will be considered for final Internal Assessment. End Semester Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. The students need to solve total 4 questions. 3. Question No.1 will be compulsory and based on entire syllabus. 4. Remaining question (Q.2 to Q.6) will be selected from all the modules. Term Work/ Tutorial: At least 08 assignments covering entire syllabus must be given during the ‘class wise tutorial’. The assignments should be students’ centric and an attempt should be made to make assignments more meaningful, interesting and innovative. Term work assessment must be based on the overall performance of the student with every assignment graded from time to time. The grades will be converted to marks as per ‘credit and grading system’ manual and should be added and averaged. Based on above scheme grading and term work assessment should be done. |

Electronic Devices and Circuits (abbreviated asEDC) |

Diode: Construction Principle of operation and application of special diode – 1) Zener, 2) LED, 3) Schottky, 4) Photodoide. Full Wave Rectifier and Filter Analysis: specification of the devices and components required for C, LC, CLC & RC filter.Bipolar Junction Transistor: Biasing Circuits: Types, dc circuit analysis, load line, thermal runaway, stability factor analysis, thermal stabilization and compensation. Modeling: Small signal analysis of CE configurations with different biasing network using h-parameter model. Introduction to re-model and hybrid-pi model. Amplification. Derivation of expression for voltage gain, current gain, input impedance and output impedance of CC, CB, CE amplifiers, Study of frequency response of BJT amplifier. Field Effect Transistor: Feedback Amplifier: DC and AC analysis of Differential amplifier, single and dual Oscillators: |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. Robert Boylestad and Louis Nashelsky, Electronic Devices and Circuits, Prentice-Hall of India. 2. Millman and Halkias, ‘Electronic Devices and Circuits’, Tata McGraw-Hill. 3. David Bell, Electronic Devices and Circuits, Oxford University Press Reference Books: 1. Thomas Floyd, ‘Electronic Devices’, Prentice-Hall of India 2. Ramakant A. Gayakwad, Op-Amps and Linear Integrated Circuits 3. Neamen D.A., Electronic Circuit Analysis and Design, McGraw Hill International. 1. S. Salivahanan, N. Suresh Kumar, “Electronic Devices and Circuits” TMH |

Term work: Term work shall consist of minimum eight experiments, assignments (min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiments): 10 marks Assignments: 10 marks Attendance (Theory and Practical): 05 marks The final certification and acceptance of term work ensures the satisfactory performance of laboratory work and minimum passing in the term work. |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Conventional and Non-conventional PowerGeneration (abbreviated as CNPG) |

Conventional and Non- Conventional sources of energy Present energy scenario world wide and Indian perspective. Economics of the power plant Load curve, load duration curve, various factors and effects of fluctuating load on operation and methods of meeting fluctuating load. Selection of generating equipment, load sharing cost of electrical energy, basic tariff methods(numericals) Thermal power plant Law of Thermodynamics. Analysis of steam cycle-Carnot, Rankine, Reheat cycle and Regenerative cycle. Layout of power plant Lay out of pulverized coal burners, fluidized bed combustion, coal handling systems, ash handling systems. Forced draught and induced draught fans, boiler feed pumps, super heater regenerators, condensers, boilers, deaerators and cooling towers. Hydro power plant Nuclear power plant Diesel and gas turbine power plant |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. MV Deshpande, Elements of Power station design, Tata McGraw Hill 2. DH Bacon, Engineering Thermodynamics, London Butterworth 3. PK Nag, Power Plant Engineering-Steam & Nuclear, Tata McGraw Hill |

Term work: Term work shall consist of minimum two group assignments based on the syllabus followed by the seminar on the same and three tutorials based on the syllabus The distribution of marks for term work shall be as follows: Laboratory work (Tutorial): 10 marks Seminar: 10 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining questions will be randomly selected from all the modules. |

Electrical Networks (abbreviated as EN) |

Network Theorems Solution of network using dependent sources, mesh analysis, super mesh analysis, nodal analysis, super node analysis, source transformation and source shifting, superposition theorem, Thevenin’s theorems and Norton’s theorem, maximum power transfer theorem. Solution of network with A.C. sources: magnetic coupling, mesh analysis, nodal analysis, superposition theorem, Thevenin’s theorems, Norton’s theorem, maximum power transfer theorem, Tellegen’s theorem, Millman’s theorem, reciprocity theorem.Graph theory and network topology Introduction, graph of network, tree, co-tree, loop incidence matrix, cut set matrix, tie set matrix and loop current, number of possible tree of a graph, analysis of network equilibrium equation, duality. First Order and Second order differential equations The Laplace Transform Network Functions; Poles and Zeros |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. W H Hayt, S M Durbin, J E Kemmerly, ‘Engineering Circuit Analysis’, 7th Edition Tata McGraw-Hill Education. 2. M. E. Van Valkenburg, ‘Network Analysis’, 3rd Edition, PHI Learning. 3. D. Roy Choudhury, ‘Networks and Systems’, 2nd Edition, New Age International. 4. M. E. Van Valkenburg, ‘Linear Circuits’, Prentice Hall. |

Term work: Term work shall consist of minimum four tutorials and three simulations (minimum), assignments (min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiment/ programs and journal):10 marks Assignments: 10 marks Attendance (Theory and Practical): 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Electrical & Electronic Measurements |

Principles of Analog Instruments Errors in Measurement, Difference between Indicating and Integrating Instruments. Moving coil and Moving iron Ammeters & Voltmeters. Extension of ranges by using shunt, Multipliers, Instrument Transformers (only a brief explanation), Dynamometer type Wattmeter & Power Factor meters. Reed Moving Coil type Frequency Meters. Principle of double voltmeter. Double frequency meter. Weston type Synchroscope. DC Permanent magnet moving coil type Galvanometers. Ballistic Galvanometer. AC Vibration Galvanometer (only the basic working Principle and Application).Principles of Digital Instruments Advantages of digital meters over analogue meters. Resolution & sensitivity of digital meters. Working principles of digital Voltmeter, Ammeter, Frequency meter, Phase Meter, Energy meter, Tachometer and Multimeter Measurement of Resistance Measurement of Inductance & Capacitance Potentiometer Transducers |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. End Semester Examination: Some guidelines for setting the question papers are as, six questions to be set each of 20 marks, out of these any four questions to be attempted by students. Minimum 80% syllabus should be covered in question papers of end semester examination. Books Recommended: Text Books: 4. Electrical & Electronic Measurements and Instrumentation by AK Sawhney, Dhanpat Rai & Sons 5. Modern Electronic Instrumentation and Measurement Techniques by Helfric and Cooper, Prentice Hall of India 6. Electronic Instrumentation By H.S.Kalsi, Third Edition, Tata McGraw Hill |

Term work: Term work shall consist of minimum six experiments, assignments (min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiments): 10 marks Assignments: 10 marks Attendance (Theory and Practical): 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Object Oriented Programming and Methodology |

Fundamental concepts of object oriented programming 4 1.1 Overview of programming 1.2 Introduction to the principles of object-oriented programming: classes, objects, messages, abstraction, encapsulation, inheritance, polymorphism, exception handling, and object-oriented containers 1.3 Differences and similarity between C++ and JAVA 2 Fundamental of Java programming 4 2.1 Features of Java 2.2 JDK Environment & tools 2.3 Structure of Java program 2.4 Keywords , data types, variables, operators, expressions 2.5 Decision making, looping, type casting 2.6 Input output using scanner class 3 Classes and objects 6 3.1 Creating classes and objects 3.2 Memory allocation for objects 3.3 Passing parameters to Methods 3.4 Returning parameters 3.5 Method overloading 3.6 Constructor and finalize ( ) |

Text Books: 1. Rajkumar Buyya, “Object-oriented programming with JAVA”, Mcgraw Hill 2. E Balgurusamy, “Programming with JAVA”, Tata McGraw Hill |

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