Instrumentation Engineering Semester 3 syllabus

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 Bessel Fourier series of functions 4.0 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 5.2 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 Reference Books: 1. B. S. Tyagi, “Functions of a Complex Variable,” Kedarnath Ram Nath Publication 2. B. V. Ramana, “Higher Engineering Mathematics”, Tata Mc-Graw Hill Publication 3. Wylie and Barret, “Advanced Engineering Mathematics”, Tata Mc-Graw Hill 6th Edition 4. Erwin Kreysizg, “Advanced Engineering Mathematics”, John Wiley & Sons, Inc 5. Murry R. Spieget, “Vector Analysis”, Schaum’s outline series, Mc-Graw Hill 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. |

Electrical Network Analysis and Synthesis – Instrumentation Engineering Semester 3 syllabus |

Networks Theorems Analysis of networks with dependent sources, mesh analysis, nodal analysis, source transformation technique, superposition theorem, Thevenin’s theorem, Norton’s theorem, maximum power transfer theorem, solution of networks with AC sources. Analysis of coupled circuits (self inductance, mutual inductance, and dot convention) 12 2 Graph Theory Introductory definition – Graph of a network, trees, co-trees, loops. Incidence matrix, loop matrix and cutest matrix. Network equilibrium equations, Duality. 06 3 Time and Frequency response of circuits Voltage/current relations for R, L, C and their equations in time domain. Initial and final conditions, first and second order differential equations, steady state and transient response. Analysis of transient and steady state responses using Classical technique as well as by Laplace transforms. Steady state response to step, ramp, impulse and sinusoidal input functions. 12 4 Network Functions: poles and zeros Network functions for one port and two port networks, Driving point and transfer functions, ladder network, general network, poles and zeros of network functions, restrictions on Pole and zero locations for driving point functions and Transfer functions, time domain behavior from polezero plot. 04 5 Two-Port parameters Open circuit, Short circuit, transmission and hybrid parameters, relationship between parameter sets, reciprocity and symmetry conditions, parallel connections, parallel connection of two port networks. 04 6 Fundamentals of Network Synthesis. Causality and stability, Hurwitz polynomials, positive real functions, synthesis of one port networks with two kinds of elements. Properties and synthesis of L-C, R-C, R-L driving point impedances, synthesis of R-L-C functions. Properties of transfer functions, zeros of transmission, synthesis of Y21 and Z21 with a 1-Ohm termination, synthesis of constant – resistance networks. |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 Marks. 2. Total 4 questions need to be solved. 3. Question No. 1 will be compulsory and based on entire syllabus wherein sub questions of 4 to 5 marks will be asked. 4. Remaining questions will be mixed in nature. 5. In question paper weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus. Term Work: Term work shall consist of minimum three simulations and four tutorials from the above list. The distribution of marks for term work shall be as follows: Laboratory work (Tutorials) : 10 Marks Laboratory work (programs / journal) : 10 Marks Attendance (Theory and Practical) : 5 Marks The final certification and acceptance of term work ensures the satisfactory performance of laboratory work and minimum passing in the term work. |

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. Text Books: 1. Kuo Franklin F., Network analysis and synthesis, 1st ed., Wiley International, 1962. 2. Van Valkenburg M.E., Network analysis, 3rd ed., Eastern Economy Edition, 1983. |

Analog Electronics – Instrumentation Engineering Semester 3 syllabus |

PN Junction diode small signal model, Zener diode and its applications, p-n junction under forward bias and reverse bias conditions, p-n junction breakdown region, Rectifier Circuits, Clipping and Clamping circuits 04 2 Bipolar Junction Transistors (BJTs) • Physical structure and operation modes • Active region operation of transistor • D.C. analysis of transistor circuits • Transistor as an amplifier 10 ??????????????????????????????????????????????????????????????????????????????????????? ??????????????????????????????????????? University of Mumbai, Instrumentation Engineering, Rev 2012?13 16 • Biasing the BJT: Different type of biasing circuit and their analysis. Bias stability, Thermistor compensation, thermal runaway. • Basic BJT amplifier configuration: common emitter, common base and common collector amplifiers • Transistor as a switch: cut-off and saturation modes • High frequency model of BJT amplifier 3 Field Effect Transistor (FET) • Junction FET its working and VI characteristic Enhancement-type MOSFET: structure and physical operation, currentvoltage characteristics • Depletion-type MOSFET • D.C. operation of JFET and MOSFET circuits • JFET and MOSFET as an amplifier • Biasing in JFET and MOSFET amplifiers • Basic JFET and MOSFET amplifier configuration: common source, common gate and common drain types • High frequency model of FET, Low and High frequency response of common source amplifier. Operation Amplifier (Op-amps) and Oscillators Amplifiers with feedback .Gain and BW considerations. • Ideal Op-amp • Differential amplifier: differential and common mode gains, common mode rejection ratio (CMRR) Oscillators: Introduction, Condition for Oscillation, RC phase shift, Weinbridge, Hartley, Colpitts and Crystal controlled oscillator. 06 5 Applications of Op-amp • Practical op-amp circuits: inverting amplifier, non -inverting amplifier, weighted Summation circuit, integrator, differentiator • Large signal operation of op-amps • Other applications of op-amps: instrumentation amplifier, active filters, controlled sources, logarithmic amplifiers, waveform generators, Schmitt triggers, comparators 10 6 Power Circuits and Systems • Class A large signal amplifiers, Harmonic distortion • Transformer coupled audio power amplifier • Class B amplifier • Class AB operation • Power BJTs • Regulated power supplies • Series voltage regulator |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 Marks. 2. Total 4 questions need to be solved. 3. Question No. 1 will be compulsory and based on entire syllabus wherein sub questions of 4 to 5 marks will be asked. 4. Remaining questions will be mixed in nature. 5. In question paper weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus. Practical/Oral Examination: Practical/Oral examination will be based on entire syllabus. Term Work: Term work shall consist of minimum eight experiments. The distribution of marks for term work shall be as follows: Laboratory work (Experiments) : 10 Marks Laboratory work (programs / journal) : 10 Marks Attendance (Theory and Practical) : 5 Marks The final certification and acceptance of term work ensures the satisfactory performance of laboratory work and minimum passing in the term work. |

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: 1. J. Millman and C. C. Halkias, Integrated Electronics: Analog and Digital Circuits and Systems, Tata McGraw-Hill Publishing Company, 1988. 2. Donald A. Neamen, Electronic Circuit Analysis and Design, Tata McGraw-Hill. 3. Robert L. Boylestad, Louis Nashelsky, Electronic Devices and Circuit Theory, Eighth edition, PHI publishers, 2004. 4. J. Millman and Taub, Pulse and Digital Circuits, Tata McGraw Hill. 5. Ramakant A. Gaikwad, Op-amp and Integrated circuits, Fourth edition, PHI Publication, 2002. 6. Sergio Franco, Design with Op-amp and Analog Integrated circuits, Tata McGraw Hill Edition, New Delhi. |

## No comments yet.