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D21 MATHEMATICS - I Unit-I: Multiple Integrals: Double integration - Cartesian and polar coordinates - Change of order of integration - Area as a double integral - Triple integration in Cartesian coordinates - Change of variables between Cartesian and polar coordinates and between Cartesian and cylindrical spherical polar coordinates. Unit–II: Vector Calculus: Gradient - Divergence and curl - Line, surface and volume integrals - Green’s Theorem - Gauss divergence Theorem - Stoke’s Theorems (Without Proof) - Verification of the above theorems and evaluation of integrals using them. Unit–III: Analytic Functions: Function of a complex variable - Analytic function - Necessary conditions - Cauchy Riemann equations in Cartesian and polar coordinates - Sufficient conditions (All without proof) Properties of analytic function - Determination of harmonic conjugate by MilneThomson method - Conformal mapping a z + b, z 2 , 1 z , e z , sin z , cos z , az�b , Schwartz Christoffel cz�d transformation. Unit–IV: Complex Integration: Statement and application of cauchy’s theorem and Cauchy’s integral formula - Taylor and Laurent expansion - Singularities – Classification – Residues - Cauchy’s residue theorem - Contour integration - Unit circle and semi-circular contours (excluding poles on real axis). Unit–V: Laplace Transform: Laplace Transform - Sufficient conditions - Transforms of elementary functions - Basic properties - Inverse transforms - Derivatives and integrals of transforms - Transforms of derivatives and integrals - Convolution theorem - Transform of periodic functions - Laplace transform of Dirac Delta and unit step functions - Second shifting theorem - Application to solution of linear differential equation - constant coefficient - variable coefficient - simultaneous differential equations - Integral equations - initial and final value theorems. Text Books: 1. Grewal, B.S., “Higher Engineering Mathematics”, Thirty Sixth Edition, Khanna Publishers, Delhi, 2001. Reference Books: 1. Veerarajan, T., “Engineering Mathematics (for First Year),” Second Edition, Tata McGraw – Hill Pub. Co. Ltd., New Delhi, 2002. 2. Venkataraman, M.K. ., Engineering Mathematics, Volume I,” Fourth Edition, The National Pub. Co., Chennai, 2003. 3. Kandasamy, P., Thilagavathy, K., and Gunavathy, K., “Engineering Mathematics” Volume I, Fourth Revised Edition, S. Chand & Co., New Delhi, 2000. 4. Erwin Kreyszig, “Advanced Engineering Mathematics”, Eighth Edition John Wiley & Sons, 2001. D22 ELECTRONIC DEVICES & CIRCUITS L T P C 3 1 0 4 L T P C 3 1 0 4 Unit I : Semiconductor Diode Theory: Semiconductor Diode – Ideal Diode – Resistance Levels – Equivalent Circuits – Transition and Diffusion Capacitances – Reverse Recovery Time – Zener Diodes - Light Emitting Diodes – Diode Arrays – Load line analysis – Diode Approximations – Series Diode Configurations with DC inputs – Parallel and Series-parallel Configurations – AND / OR Gates.
Unit II :BJTs - Theory & Biasing: Transistor Construction – Operation – Common Base, Common Emitter, Common Collector Configurations – Transistor amplifying action – Operation Limits – Transistor Testing – Operating Point – Fixed Bias – Emitter Bias – Voltage Divider Bias Circuits – Bias Stabilization. UNIT – III: FETs - Theory & Biasing: Field Effect Transistors – Construction and Characteristics – Transfer characteristics – Relationships- Depletion Type MOSFET – Enhancement Type MOSFET – VMOS – CMOS – Fixed Bias, Self Bias, Voltage Divider Bias Configurations - P channel FETs – Universal JFET Bias Curve. UNIT-IV Other Electron Devices: Schottkey, Varactor, Power, Tunnel and Photo Diodes – Photo Conductive Cells – IR Emitters – Liquid Crystal Displays – Solar Cells – Thermistors – SCR – Operation, Characteristics and Applications – DIAC – TRIAC – Photo Transistors – Opto Isolators UNIT –V Applications: Power Supplies: Capacitor Filter – RC Filter – Transistor Voltage Regulation – IC Voltage Regulators. Diode Applications: Half Wave Rectification – Full Wave Rectification – Clippers – Clampers – Voltage Multiplier Circuits. BJT Applications: Relay Driver – Transistor Switch – Voltage Level Indicator .FET Applications: VVR – Timer Network – FET in Fiber Optic System - PSPICE Simulation of CE, CE, CC Configurations. Text Book: Robert L.Boylested, Louis Nashelsky “Electronic Devices and Circuit Theory”, Eighth Edition, Pearson Education Asia, 2002 Reference Books: 1. Faculty of Network Institutions, “Analog Electronics”, Project Network Engineering Series, 2004 2. David A. Bell, “Electronic Devices and Circuits”, Fourth Edition, Prentice Hall India, 1999. 3. Albert Paul Malvino, “Electronic Principles”, Tata McGraw Hill , 2002 4. Bernard Grob , “Electronic Circuits & Applications”, McGraw Hill ,1992 D23 BASIC CIRCUIT THEORY L T P C 3 1 0 4 Unit – I: Methods of Circuit Analysis: Network graphs: Matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution Methods: Kirchoff voltage law – Kirchoff current law – Mesh analysis – Super mesh analysis – Nodal analysis – Supernode analysis – Source transformation technique – Star delta transformation. Unit – II: Theorems in Circuit Analysis: Superposition theorem – Thevenin’s theorem – Norton’s theorem – Reciprocity theorem – Compensation theorem – Maximum power transfer theorem – Duals and duality Tellegen’s theorem – Millman theorem. Unit – III: AC Analysis: Waveforms and Signals: Periodic functions – Sinusoidal functions – Time Shift and Phase shift- Combinations of periodic Functions- Non periodic functions-Sinusoidal Steady State Circuit Analysis: Mesh Current Method –Node Voltage Method – Network Theorems. AC Power: Power in the Time Domain –Power in sinusoidal steady state-average or Real power – AC power in R, L and C.
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