UTC aerospace Graduate trainee job in banglore

Company: UTC Aerospace

Location: Banglore

Last date: As soon as possible

Qualifications: B.E/B.Tech/M.E/m.Tech-ECE,EEE

Job Description: This position is for the Electronics & Motor Control Center (EMCC) at Global Engineering Centre, UTC Aerospace Systems.
Primary Responsibilities: • Executes Value Engineering, New Product Introduction and Production support projects. • Software Validation as per requirements provided. • Conducts Unit tests/ Functional & System Test on the development environment or target systems. • Participates in Software design reviews and Code walk through. o Debugging and troubleshooting. Knowledge,

Skills and Abilities: Required: • Electronics Engineering (B.E/B.Tech / M.E/M.Tech,.) degree in Electronics with > 70% marks • Good programming skills in Embedded C, Ada, C++ and any Assembly language. * Good RTOS fundamentals. * Good understanding and usage of Serial communication protocols RS-232/422, SPI, * Understanding of software development tools/ configuration management tools will be a plus

How to apply: Interested candidates should apply online. 

Click here for more details


KRCL 2017 recruitment for junior engineers

Applications are invited from eligible land loser candidates (Self / Sons / Spouse / Unmarried daughters / Grand sons / Unmarried Grand daughters only) whose land has been acquired for Konkan Railway project, irrespective of the percentage of land lost and from other than land losers, candidates belonging to all categories (UR/OBC/SC/ST) from the states Maharashtra, Goa and Karnataka only.

Company: KONKAN RAILWAY CORPORATION LIMITED

Post Name: Junior engineer(Signal and telecom)

Qualifications:Three years Diploma in (a) Electrical/Electronics/information Technology/ communication Engineering/ Computer Science & Engineering /Computer Science/Computer Engineering OR (b) a combination of any sub stream of basic streams of Electrical/Electronics/ Information Technology/ Communication Engineering from a recognized University/Institute.

How to apply: Candidates are required to apply through ON LINE model only, however a print out of ON LINE application signed by the candidate is to be submitted to Senior Recruitment Officer , Konkan Railway Corporation Ltd, Belapur Bhavan, Sec-11, CBD/ Belapur, Navi Mumbai-400614 on or before 17/07/2017 by 17.30 hrs personally or by registered post. Applications sent to or submitted at other offices of KRCL other than the office of Senior Recruitment Officer will not be considered.

Click here to know more details

National Institute of Electronics & Information Technology (NIELIT) syllabus for electronics

Every year Nielit recruits scientist-B from various branches here i am giving syllabus for electronics and communications branch.

Electronics and Communication Engineering (EC):
Engineering Mathematics

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear
differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula,Taylor’s and Laurent’ series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson,Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform,Laplace transform, Z-transform.

 Electronics and Communication Engineering technical

Networks:
Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems:
superposition, Thevenin and Norton’s maximum power transfer, Wye-Delta transformation.Steady state sinusoidal analysis using phasors. Linear constant coefficient differential equations;time domain analysis of simple RLC circuits, Solution of network equations using Laplacetransform: frequency domain analysis of RLC circuits. 2-port network parameters: driving pointand transfer functions. State equations for networks.
Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers.p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.
Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping, clamping, rectifier.Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers.Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations.Function generators and wave-shaping circuits, 555 Timers. Power supplies.
Digital circuits: Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories.
Microprocessor(8085): architecture, programming, memory and I/O interfacing.
Signals and Systems: Definitions and properties ofLaplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LTI systems.
Control Systems: Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots.
Control system compensators: elements of lead and lag compensation, elements of Proportional- Integral-Derivative (PID) control. State variable representation and solution of state equation of LTI control systems.
Communications: Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Fundamentals of information theory and channel capacity theorem. Digital communication systems: pulse code modulation (PCM), differential
pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.
Electromagnetics: Elements of vector calculus: divergence and curl; Gauss’ and Stokes’ theorems, Maxwell’s equations: differential and integral forms. Wave equation, Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas;
radiation pattern; antenna gain.

Nielit scientist-B exam question paper pattern

nielit 2013 examNational Institute of Electronics & Information Technology (NIELIT) recruits scientists from various branches every year, the selection process consists of written exam. The syllabus for this post was already given in my previous posts but here i am giving a flow chart of exam pattern which consists of both technical and non technical questions based on the syllabus.
nielit previous paper

Preparation Steps to Success in any competitive Exams

Competitive exam successNow a days there is a more competition for any competitive exams.Here I am giving some important steps based on my experience to success in any competitive exams related to electronics like BSNL, IES, GATE, BARC, DRDO, ISRO, BHEL, BEL, GAIL, etc……..


Step1: First step is read the notification completely and if they mention any exam date in notification note down the exam date,If they didn’t mention the date then just assume that the exam will be held with in 2 month from the release of notification(now note down the expected/assumed exam date).

Step2: Now next step is to know the syllabus and exam pattern ,search the internet/website of company and take the printout of the syllabus.

Step3: Most important step is to find previous year question papers,Search internet or Buy previous papers books in a market or online.The previous papers are used to give an idea about the exam pattern and to know what type of questions are giving.

Step4: Now check the previous papers questions, are these questions are coming from syllabus or not.If any question is from outside of the syllabus then you just add that topic into syllabus.

Step5: Until Step4 we collect the sources to prepare for the exam.Now according to the exam date and based on your convenience you should prepare a preparation daily plan/Time table.

Step6: According to the Plan/Time table Start your preparation.Before reading any text book first check the previous questions concert to that subject/topic and observe what type of questions are giving, and which areas they covered most,so that its becomes easy to study and give more interest to study.

Step7: Don’t spend more time on reading theory text books,Instead of that practice more objective questions of all previous papers of competitive exams that gives good confidence and shows the way to success..

ONE WHO PRACTICE A LOT WILL DEFINETLY GET SUCCESS.
ALL THE BEST!!!!

AP PGECET Syllabus and previous papers for ece and eee

CaptureThe main objective of PGECET is to identify at the state level, meritorious and motivated candidates who didn’t qualify in GATE exam for admission to Post Graduate programmes in Engineering and technology. PGCET exam is useful for the students who wants to take admissions in higher education.  Here I am giving syllabus for APPGCET written exam for ECE and EEE.
PGECET examinations consist of each paper of 2 hours duration and carry a maximum of 120 marks.

Electronics & Communication Engineering:

Engineering Mathematics
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and Eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals,Partial Derivatives, Maxima and minima, multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for
differential equations.
Networks: Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, Thevenin and Norton's maximum power transfer, Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency domain analysis of RLC circuits. 2-port network parameters: driving point and transfer functions. State equations for networks.
Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon:
diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET amplifiers.Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping circuits, 555 Timers. Power supplies.
Digital circuits: Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL,TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders,PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories. Microprocessor (8085): architecture, programming, memory and I/O interfacing.
Signals and Systems: Definitions and properties of Laplace transform continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, ztransform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LTI systems.
Control Systems: Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative (PID) control. State variable representation and solution of state equation of LTI control systems.
Communications: Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Fundamentals of information theory and channel capacity theorem. Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.
Electromagnetics: Elements of vector calculus: divergence and curl; Gauss' and Stokes' theorems, Maxwell's equations: differential and integral forms. Wave equation, Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies;dispersion relations. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.

Electrical Engineering:

Mathematics: Similar to ECE syllabus.
Electric Circuits and Fields: Network graph, KCL, KVL, node and mesh analysis, transient response of dc and ac networks; sinusoidal steady-state analysis, resonance, basic filter concepts; ideal current and voltage sources, Thevenin's, Norton's and Superposition and Maximum Power Transfer theorems, two-port networks, three phase circuits; Gauss Theorem, electric field and potential due to point, line, plane and spherical charge distributions; Ampere's and Biot-Savart's laws; inductance; dielectrics; capacitance.
Signals and Systems: Representation of continuous and discrete-time signals; shifting and scaling operations; linear, time-invariant and causal systems; Fourier series representation of continuous periodic signals; sampling theorem; Fourier, Laplace and Z transforms.
Electrical Machines: Single phase transformer - equivalent circuit, phasor diagram, tests, regulation and efficiency; three phase transformers - connections, parallel operation; auto-transformer; energy conversion principles; DC machines - types, windings, generator characteristics, armature reaction and commutation, starting and speed control of motors; three phase induction motors - principles, types, performance characteristics, starting and speed control; single phase induction motors; synchronous machines -performance, regulation and parallel operation of generators, motor starting, characteristics and applications;servo and stepper motors.
Power Systems: Basic power generation concepts; transmission line models and performance; cable
performance, insulation; corona and radio interference; distribution systems; per-unit quantities; bus
impedance and admittance matrices; load flow; voltage control; power factor correction; economic operation;symmetrical components; fault analysis; principles of over-current, differential and distance protection; solid state relays and digital protection; circuit breakers; system stability concepts, swing curves and equal area criterion; HVDC transmission and FACTS concepts.
Control Systems: Principles of feedback; transfer function; block diagrams; steady-state errors; Routh and Niquist techniques; Bode plots; root loci; lag, lead and lead-lag compensation; state space model; state transition matrix, controllability and observability.
Electrical and Electronic Measurements: Bridges and potentiometers; PMMC, moving iron, dynamometer and induction type instruments; measurement of voltage, current, power, energy and power factor; instrument transformers; digital voltmeters and multimeters; phase, time and frequency measurement; Q-meters; oscilloscopes; potentiometric recorders; error analysis.
Analog and Digital Electronics: Characteristics of diodes, BJT, FET; amplifiers - biasing, equivalent circuit and frequency response; oscillators and feedback amplifiers; operational amplifiers - characteristics and applications; simple active filters; VCOs and timers; combinational and sequential logic circuits; multiplexer; Schmitt trigger; multi-vibrators; sample and hold circuits; A/D and D/A converters; 8-bit microprocessor basics, architecture, programming and interfacing.
Power Electronics and Drives: Semiconductor power diodes, transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs - static characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters - fully controlled and half controlled; principles of choppers and inverters; basis concepts of adjustable speed dc and ac drives.

DOWNLOAD THE SYLLABUS IN PDF FORMAT

PGECET Previous papers

C language preparation for interview questions and best C books to learn

C language is the most important subject to get a job,Most of the core/software companies asked C language in both written and interview,Because C is the basic language to learn any language coding. Here I am discussing How to prepare C language and what type of books refer to learn c language easy.
First of all you should learn basics of C from any book of your own interest and practice all example programs given in the book. The best book which I recently learnt is Let us C by Yashavant Kanetkar,which teaches from basics with simple easily understandable language.
After successful completion of  learning basics we should practice the programs in the system compiler to get full confidence on programs, Turbo-C is the basic easy compiler to compile and to check outputs of the program.To practice more in depth C programming example try to get the book exploring C by Yashavant Kanetkar, this book cover only C programs of different types.
Now download previous question papers of the companies either software or hardware,and practice those interview or written questions with different logics so,that its becomes easy to write any C program.

Best C Language Text books To learn:

S.No
Books
Description
1. let us c basics free book Let us C by Yashavant Kanetkar,which cover basic tutorial of c language useful for interviews and placement written exams.and this book contains some questions at the end of the chapter to practice for interview.you can buy it online.C programming book: let us c by kanetkar buy online
2. let us c solution free pdf Let us c solutions by kanetkar,which gives solutions to the exercise questions of the above basic book.
let us c yashwant kanetkar pdf free download. Let us C solutions 12th edition
3. exploring c by kalnetkar Exploring C ebook by yashwant kanetkar free pdf download,this book covers programs with example solutions to test your c skills.you can buy this book online with low cost Exploring C by kanetkar buy online from flipkart
4. More books For more books for entrance exams you can search here. Search Books

Gate 2018 all India exam preparation tips to Crack the exam

CaptureNow a days GATE is becoming more popular Because from the year 2012 onwards Most of the PSU’S recruiting people through GATE score  and students showing interest on higher education like M.Tech/M.S are increasing every year in India. It is  easy to crack GATE exam (I cracked GATE –EC 2012 and I was studied in NIT) if you follow these simple steps. I already posted the details about GATE in my previous posts you can check it to know more.

Why GATE 2018 exam?
Because GATE exam is important to do M.Tech/M.S  in Top universities like IIT’S,NIT’S ….Not only that its very important to get jobs in PSU’S  like NTPC,BHEL,BEL,HPCL….and also every year BARC is recruiting scientists through GATE score so many peoples have a question that how much score is needed to get all these things??? I will clear this doubt in my future posts,today my topic is how to prepare for GATE.

Steps to Crack GATE easily:

1. Syllabus: Collect syllabus from  GATE website or you can download from here.
2. Research on your knowledge: Check the syllabus and know about yourself, i.e how much knowledge depth you have in those subjects because all these subjects you have  already learnt in your graduation and make a list of  subjects you are poor and on which subjects you are good.
3. Check In how many subjects you are poor and good from the list which you have prepared.If you are not clear with basic subjects, its better to join in any good coaching centers or learn subjects online from NPTEL ,MITOCW websites. Now a days some coaching centers offering online classes too so if you have  interest you can check their websites for more information.
4. Previous papers & Making a short Notes: If you have some knowledge in subjects and you want to learn more in depth you can also take classes online from NPTEL and MIT those offering these courses for free and also follow at least two standard text books for each subject. Before studying any subject once check previous GATE papers and note down the areas on which questions are asked. First choose the subject which you are poor, while studying or learning focus more on those areas in which they are asking questions and note down the important points in a separate notes it will useful to refer before the exam.
5.Practice makes Man perfect: After studying one subject you need to practice previous questions of the respective subject from GATE and IES papers you can download these papers online or you buy it from market/online .
Why IES papers,sometimes in GATE exam they give direct one mark questions from these IES papers so you need to practice those papers also to differentiate your gate score from others.Practice more and more problems to crack gate easily.
6. Have a faith in your self: Without self motivation and self believe, no one in this world can achieve anything. Its tough to crack gate if you don’t have any plan or time table.Normally 3 to 4 months of serious study will be sufficient for the preparation so prepare your own time table now.
7.Test series: After completing your preparation take some online test series exams conducted by some institutes(like Gate Forum) that will helpful to know your preparation and also it gives confidence to the final GATE exam.

Best top GATE Coaching centers in India-Hyderabad-Chennai-Delhi

gate coachingAfter completion of my graduation I was thinking what to do next, at that time some one suggested me to take GATE exam for higher studies so,I decided to write GATE for that purpose I asked so many people who got success in previous GATE exams about the coaching centers i.e I almost done a small research on coaching centers. As per my survey most of the people suggest the below four coaching centers only so here I want to share my research with you.

1. ACE Academy: In every year thousands of people are taking coaching from this institute.This is the one of the best institute which succeeded in giving better coaching to GATE and it is located in Hyderabad.
2. Made Easy: This is also one of the successful institute for Both IES and GATE coaching,They have different branches in across India.They take limited students per class.
3. Gate forum: This is the one of the coaching centers which offers online classes for GATE.They have different branches across India.
4. Lead Tirupati: It is also one of the successful GATE coaching institute  is located in Tirupati(Andhra Pradesh).
There are so many institutes but the above four are the most famous institutes across India.If you want to prepare for both GATE and PSU jobs or any govt core jobs its better to take IES coaching it will useful for both GATE and jobs . wherever you Join without your hard work none of the institutes will give better result to you.
Other institutes: Vani Institute Bangalore, Dronacharya(delhi) etc…

Gate 2018 Exam ECE syllabus for free download pdf

gate syllabusGate is the one of the most competitive exam in India to took PG-M.tech or M.S or Phd admission in top most colleges like IIT,NIT,Top universities,Bits pilani and it also useful for PSU’S jobs… here I am giving latest GATE 2018  exam syllabus for ece which we are expecting similar to gate 2017 syllabus.

ENGINEERING MATHEMATICS:
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent’ series, Residue theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson,Normal and Binomial distribution, Correlation and regression analysis.
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform,Laplace transform, Z-transform.
ELECTRONICS AND COMMUNICATION ENGINEERING
Networks: Network graphs: matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, Thevenin and Norton’s maximum power transfer, Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations usingLaplace transform: frequency domain analysis of RLC circuits. 2-port network parameters: driving point and transfer functions. State equations for networks.

Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers.p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits: Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping, clamping, rectifier.Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers.Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations.Function generators and wave-shaping circuits, 555 Timers. Power supplies.

Digital circuits: Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories. Microprocessor(8085): architecture, programming, memory and I/O interfacing.

Signals and Systems: Definitions and properties ofLaplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LTI systems.

Control Systems: Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative (PID) control. State variable representation and solution of state equation of LTI control systems.

Communications: Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Fundamentals of information theory and channel capacity theorem. Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.

Electromagnetics: Elements of vector calculus: divergence and curl; Gauss’ and Stokes’ theorems, Maxwell’s equations: differential and integral forms. Wave equation, Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.