TANCET ME Syllabus (common to all Branches)

PART I : ENGINEERING MATHEMATICS ( Common to all Candidates )

i) Determinants and Matrices : Solving system of equations – Rank of the Matrix – Eigenvalues and eigenvectors – Reduction of quadratic form to canonical form.

ii) Calculus and Differential Equations : Partial derivatives – Jacobians – Taylor’s expansion – Maxima and Minima. Linear ordinary differential equations with constant coefficients – Simultaneous first order linear equations with constant coefficients. Formation of partial differential equation ( PDE ) – Solution of first order PDE – Solution of linear higher order PDE with constant coefficients.

iii) Vector Calculus : Double and triple integrations and their applications – Gradient, Divergence, Curl and Laplacian – Green’s, Gauss divergence and Stroke’s theorem.

iv) Functions of Complex Variables and Complex Integration : Analytic functions – Conformal Mapping – Bilinear transformation – Cauchy’s integral theorem and integral formula – Taylor and Laurent Series – Singularities – Residues – Residue theorem and its applications.

v) Transforms : Laplace Transform – Inverse transforms – Application to solution of linear ordinary differential equations with constant coefficients. Fourier integral theorem – Fourier transform pair – Sine and Cosine transforms. -transform – Inverse Z–transform – Solution of difference equations using Z– transform.

vi) Numerical Methods : Solution of linear system by direct and iterative methods – Interpolation and approximation – Numerical Differentiation and Integration – Solving Ordinary Differential Equations.

vii) Applied Probability : Probability and Random variables – Standard Discrete and Continuous distribution – Moments – Moment generating function and their properties. Two-Dimensional Random Variables – Covariance – Correlation and Regression.

PART – II : BASIC ENGINEERING & SCIENCES ( Common to all Candidates )

i) Applied Mechanics : Law of Mechanics – Lame’s theorem – Forces, Moments and Couples – Displacement, velocity and Acceleration – Friction – Moment of Inertia.

ii) Mechanical Engineering : Laws of thermodynamics – Open and closed systems – Equation of state – Heat and Work.

iii) Physics : Sound – Latices – Ultrasonic flaw detector – X-ray radiography – Interference Fringes – Planck’s quantum theory – Laser and Fibre Optics.

iv) Material Science: Fracture – Magnetic and Dielectric materials – Conductor and Semiconductor materials – Ceramic and Super conductor materials.

v) Civil Engineering : Fluid Statics and Dynamics – Boundary Layer – Pumps and Turbines – Environmental Pollution.

vi) Electrical Engineering : Ohm’s law – Kirchoff’s law – A.C. circuits – D.C. machines – Transformers – Synchronous machines – Instrumentation.

vii) Computers : Computer organisation – Architecture – Arrays – Pointers – User defined function – C program.

viii) Chemistry : Adsorption – Chromatography – Chemical kinetics – Electrochemistry – Spectroscopy – Fuels and Combustion.

PART – III

This section varies for every branch according to their respected branch

ELECTRICAL & ELECTRONICS ENGINEERING AND INSTRUMENTATION ENGINEERING

i) Electrical Circuits and Fields : KCL, KVL, Nodal & Mesh analysis, transient response of D.C and A.C networks; sinusoidal steady-state analysis; resonance in electrical circuits; concepts of ideal voltage and current sources, network theorems, driving point admittance and transfer functions of two port network, three phase circuits; Fourier series and its application; Gauss theorem, electric field intensity and potential due to point, line, plane and spherical charge distribution, dielectric, capacitance calculations for simple configurations; Ampere’s and Biot-Savart’s law, inductance calculations for simple configurations.

ii) Electrical machines : Single phase transformer-equivalent circuit, phasor diagram, tests, regulation and efficiency; three phase transformer-connections; auto transformer; principles of energy conversion, windings of rotating machines : D.C generators and motors-characteristics, starting and speed control, armature reaction and commutation; three phase induction motors-performance characteristics, starting and speed control; single-phase induction motors; synchronous generators- performance, regulation; synchronous motors-starting characteristics, applications, synchronous condensers; fractional horse power motors; permanent magnet and stepper motors.

iii) Power Systems : Electric power generation – thermal, hydro, nuclear; transmission line parameters; steady-state performance of overhead transmission lines and cables and surge propagation; distribution system, insulators, bundle conductors, corona and radio interferences effects; per-unit quantities; bus admittance and impedence matrices; load flow; voltage control and power factor correction; economic operation; symmetrical components, analysis of symmetrical and unsymmetrical faults; principle of over current, differential and distance protections; concepts and solid state relays and digital protection; circuit

breakers; principles of system stability-swing curves and equal area criterion.

iv) Control systems : Principles of feedback; transfer function; block diagram; steady-state errors; stability-Routh and Nyquist criteria; Bode plots; compensation; root loci; elementary state variable formulation; state transition matrix and response for Linear time Invariant systems.

v) Power Electronics and Drives : Semiconductor power devices-diodes, transistors, thyristors, triacs, GTO, MOSFETs and IGBTs-static characteristic and principles of operation; triggering circuits; phase control rectifiers; bridge converters-fully controlled and half controlled; principles of choppers and inverters, basic concepts of adjustable speed dc and ac drives.

vi) Digital Electronics : Digital Logic Theory: Number systems-Combinational logic circuits-Minimisation of Boolean functions-IC families-Arithmetic circuits, Multiplexer & decoders-Sequential circuits-Flip flops, counters, shift registers, Schmitt trigger, timers and multivibrators.

    Microprocessor : General 8 bit microprocessor Architcture-8085, 8086 processor – Architecture, Memory, I/O interfacing, Instruction set, Addressing modes, Timing diagram & delays, Machine cycles, Interrupts, counters, Assembly language programming.

    Microcontrollers : 8 bit microcontroller – 8051 architecture, bus configuration, Instruction sets, programming & applications.

vii) Digital Signal Processing : Analog signals-sampling & Aliasing-Discrete time signals & systems-LTI systems- Convolution sum-Difference equation representation-Z Transform & its Inverse-Discrete Fourier series & Fourier transform-Radix 2 FFT – Decimation in me and frequency- Inverse DFT using

FFT-Analog Butterworth & Chebyshev filter design-IIR & FIR filter design and Realisation.

viii) Computer Control of Processes, Networks : State models and state equations-controllability & observability-pole assignment-discrete data system – state space representation-stability-data hold, Z & modified Z transform – Pulse transfer function-programmable logic controllers. Data networks-switching OSI, Data link control, Media access protocol-BISYNC, SDLC, HDLC, CSMA / CD, TCP / IPBridges, routers, gateways, Ethernet and Arcnet configuration.

ix) Communication Engineering : Modulation and demodulation systems – Types of transmission lines – losses – standing waves – Ground wave and space wave propagation – Digital communication concepts – Data Communication codes, serial and parallel interface – Network protocol – Types of satellites – Advantages of optical fibre communication.

x) Measurements, Instrumentation and Transducers : Measurement of R, L and C-Bridges, potentiometers & galvanometers- Measurement of voltage, current, power, power factor and energy- Instrument transformers, Q meter, Waveform Analysers – Digital voltmeter, multimeter-Time, phase and frequency measurements-Oscilloscope – display and recording devices – Noise and interference in Instrumentation.

xi) Industrial Instrumentation : Measurement of displacement, stress, strain, force, torque, velocity, Acceleration, Shock, vibration, humidity, viscosity & density- Pressure, temperature, flow & level measurement.

xii) Analytical Instrumentation : Spectro Photometers-Spectral methods of analysis-source detectors and applications – Ion conductivity-sampling systems, ion selective electrodes, conductivity and pH meters- Analysers – Chromatography – NMR & X ray spectroscopy – GM and proportional counters-Mass spectrometer.

Units and standards-Calibration methods-Errors-Transducer classification, static characteristics, mathematical mode, zero, I and II order transducers – Response to different inputs-variable Resistance, Inductance and capacitance transducers-Piezo electric, Magnetostrictive, IC and smart sensors- Digital, Fibre optic, Hall effect and feedback transducers.

Here we have provided you some previous year question papers collected from various sources to help you in preparing for TANCET 2015 Examination. Students can use this and share with your friends.

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