**PhD Entrance Examination2015 – Written Test Syllabus**

Written test willbe of 2 hour duration. The question paper consists of two parts:

PART- I(*to be attempted by all except HASS and ICT-ARD applicants*)**Mathematical Aptitude and Reasoning**

Elementary multiple choice questions from the following topics: Mathematical Logic, Set Theory and Algebra, Combinatorics, Basic Calculus, Probability and Statistics, Reasoning ability.The level of difficulty would be at 10+2 standard.

PART- II

This part consists of eight sections: Electronics, Communication and Signal Processing, Computer Science, Physics, Mathematics, Economics and English Studies (EES), and ICT in Agri and Rural Development (ICT-ARD).You may attempt as many questions from as many sections; however, it is likely that you attempt most of the questions from a section that matches your core area of expertise. We expect that you will have enough time to answer at least four questions. EES and ICT-ARD applicants however, should attempt only their respective section.

Syllabus and suggested books for each of the sections are given below. Questions will be of a difficulty level similar to a BTech or equivalentlevel course.

Electronics

**Basic Electronics:**

Time and frequency domain analysis of simple RLC circuits; Thevenin’s and Norton’stheorems;

Maximum Power Transfer; Simple Diode Circuits, Clipping, Clamping, Rectifiers

**Basic Transistor Circuits:**

Amplifiers: Single-and Multi-stage, Differential and Operational; Amplifier Building Blocks; Frequency response of amplifiers

**Field Effect Transistors:**

JFET and MOSFET Characteristics; Biasing and Bias Stability of Transistor and FET amplifiers

**Feedback and Operational Amplifiers:**

Simple Op-amp circuits; Simple filters and Active Filters; Sinusoidal oscillators and Criterion for

Oscillation; Single-transistor Op-amp configurations

**Digital Electronics:**

Basic Logic Concepts; TTL and CMOS; Combinational Logic; Sequential Logic and Finite State Machine Design; Monostable Multivibrators

**Recommended books : **

- Engineering Circuit Analysis by Hayt, Kemmerly& Durbin
- Basic Electrical and Electronics Engineering by M.S. Sukhija, T.K. Nagsarkar Oxford Press
- Microelectronic Circuits by Adel S. Sedra and Kenneth C. Smith, Oxford University Press
- Digital design by M. Morris Mano and Michael Ciletti
- Low Power Design Essentials Jan Rabaey, Springer

**Communication Systems**

**Analog Modulation and Digital Communication**

AM, FM and PM, Sampling, quantization, PCM, companding and delta modulation, Basics of Digital Modulation Schemes like ASK, FSK, PSK, QAM.

**Signals and Systems**

Introduction of signals and systems (ranging from their types, properties and different examples). Linear time-invariant (LTI) systems and their representation with the help of convolution sum or integral (which can used to model many real physical systems). Fourier analysis ranging from Fourier series, Fourier transform, time and frequency characterization of signals and systems (e.g. Fourier transform phase and concept of group delay), Shannon’s sampling theory, Laplace and Z-transform.

**Digital Signal Processing **

Discrete-time LTI systems, convolution sum, Discrete-Time Fourier Transform (DTFT) and its properties, Discrete Fourier Transform (DFT), Fast Fourier Transform (FFT), Z-transform, Sampling and Quantization, Design of FIR filters (concept of linear phase, zero locations of FIR filters, etc) and design of IIR Filters (impulse invariant vs. bilinear transformation, Butterworth and Chebyshevfilters), Digital Filter Structures.

**Electromagnetic Theory**

Electrostatic Fields, Electric Fields in Material Space, Electrostatic Boundary Value Problems, Magnetostatic Fields, Magnetic Forces, Time Varying Field & Maxwell's Equations, Propagation of EM Waves, Plane Waves, Wave Impedance, EM Wave Equation, EM Energy and Power Flow, PoyntingTheorem, Waveguides, Coaxial cable, Antennas and Radiating Systems. Single and Multi-port Networks, S-Parameters and Scattering Matrix, Transmission Line, Reflection coefficient, Standing Wave Ratio, Impedance matching

**Suggested Books:**

- An Introduction to signals and noise in electrical communication by A. Bruce Carlson and Paul B Crilly, Fifthedition, McGraw Hill
- Modern Analog and Digital Communication Systems by B. P. Lathi and Zhi Ding, Fourth edition, Oxford University Press.
- Alan V. Oppenheim and R. W. Schafer, Discrete-time Signal Processing. Third Edition. Prentice Hall, 2009.
- Jordan, Edward C. & Balmain, Keith G., “Electromagnetic Waves and Radiating Systems”, Prentice Hall of India, New Delhi, 2003.
- Hayt, William H. & Buck, John A., “Engineering Electromagnetics”, Sixth Edition, TataMcGraw-Hill, New Delhi, 2001.
- Alan V. Oppenheim, Alan S. Wilsky, and D. Hamid, Signals and Systems. Second Edition, Prentice Hall, 1996.

**Computer Science**

Algorithms

Basic Data Structures such as Stacks, Queues, Priority Queues, Heaps, Trees, Hash Tables, and

Dictionaries; sorting and searching; data structures for graphs; shortest path algorithms; basic algorithm

design paradigms such as Greedy, Divide and Conquer Method.

**Theory of Computation**

Regular languages, finite state automaton, regular expressions, pumping lemma, and properties of

regularlanguages; context free languages, pushdown automaton, pumping lemma, and properties of

context free languages.

**Database Management System**

Basic Concepts of Database and DBMS, Data Abstraction, Data Independence, Database Modeling, E-R

Model, Relational Model, Integrity Constraints, SQL Queries, Database Design, Functional Dependencies

and Normalization, Data Storage and Indexing, Database Application Development

Computer Networks

ISO/OSI protocolstack. LAN technologies, Basic concepts of hubs, switches, gateways, and routers.

Flow and error control techniques. MAC protocols. Routing algorithms. Congestion control. IP, TCP/UDP

and ICMP protocols. Application layer protocols (dns, smtp, pop, ftp, http).

Operating systems

Process concept and management, scheduling, process synchronization, concurrency control, critical section problems, deadlocks, memory management, file systems.

Suggested Books:

- Introduction to Algorithms by Cormen, Leiserson, Rivest
- Introduction to Theory of Computation by Michael Sipser
- Silberschatz, Korth&Sudarshan, “Database System Concepts,” McGraw-Hill
- Kurose and Ross, Computer Networking, A Top Down Approach, Pearson

- Silberschatz, P. B. Galvin, G. Gagne, Operating System Concepts John Wiley & Sons, Inc.

Mathematics

Calculus--Functions of single and two variables: limit, continuity, differentiability, mean value theorems, Theorems of integral calculus, improper integrals, partial derivatives, total derivatives, maxima and minima, double and triple integrals. Sequences and series of real numbers: tests for convergence, power series, Linear and non-linear 1st order ordinary differential equation, higher order linear differential equation with constant coefficients, system of linear differential equations, initial and boundary value problems.

Complex Variables--Analytic functions, Cauchy-Riemann equations, line integral, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent’s series, residue theorem and its applications.

Discrete Mathematics--Propositional logic, first order logic, relations, permutations, combinations, pigeonhole principle, principle of inclusion-exclusion, generating functions, graph isomorphism, spanning trees, graph connectivity, graph colouring.

Abstract Algebra and Linear Algebra--Groups: basic definitions and rules, subgroups, cyclic groups, Lagrange’s theorem and its applications.

System of linear equations, Determinants, inverse, rank, Eigenvalues and eigenvectors, diagonalisation of matrices, Cayley-Hamilton theorem.

Probability and Statistics--Probability space, conditional probability, random variables, binomial, Poisson, geometric, uniform, exponential and normal probability distributions, estimation, correlation and linear regression.

Suggested Books:

- M.D. Weir, J. Hass, and F.R. Giordano: G.B. Thomas’ Calculus, 11th Edition, Pearson, 2011.
- R. Kreyszig: Advanced Engineering Mathematics, 8th Edition, John Wiley, 1999.
- Michel D. Greenberg, Advanced Engineering Mathematics, Pearson Education, 2002.
- K.H. Rosen, Discrete Mathematics and its Applications with Combinatorics and Graph Theory, Edition, Tata Mcgraw Hill Education, 2011.
- I.N. Herstein, Topics in Algebra, 2nd Edition, John Wiley & Sons, 1975.
- S. Ross: A First Course in Probability, 8th Edition, Pearson, 2010.

Physics

Classical Mechanics:

Newton’s laws of motion and applications, Simple Harmonic Oscillator, Kepler’s laws, Gravitational Law and field, Conservative and non-conservative forces.System of particles, Centre of mass, equation of motion of the CM, conservation of linear and angular momentum, conservation of energy.Elastic and inelastic collisions. Rigid body motion, fixed axis rotations, moments of Inertia. Lagrange’s and Hamilton’s formalisms.

Electromagnetic Theory:

Coulomb's law, Gauss's law, Field and Boundary Conditions, Laplace equation, Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Biot-Savart law, Ampere's law, Lenz's law, Faraday’s law of electromagnetic induction, Displacement current, Maxwell's equations and plane electromagnetic waves.Lorentz Force and motion of charged particles in electric and magnetic fields.

Thermodynamics and Statistical Physics

Laws of thermodynamics; Thermodynamic potentials, Maxwell relations; Chemical potential, phase equilibria; macrostates and microstates; Microcanonical Canonical and grand Canonical ensembles; phase space; probability ensembles; partition function, free energy, calculation of thermodynamic quantities; classical and quantum statistics; degenerate Fermi gas; black body radiation and Planck’s distribution law.

Quantum Mechanics:

Mass energy equivalence, Blackbody radiation, photoelectric effect, Compton effect, Bohr's atomic model, X-rays. Wave-particle duality, Uncertainty principle, Schrodinger equation and application to simple examples like particle in a box, potential barrier, square potential, harmonic oscillator, hydrogen atom.

Nuclear Physics

Structure of atomic nucleus, mass and binding energy.Radioactivity and its applications. Laws of radioactive decay. Nuclear fission, Nuclear Fusion, Nuclear Fusion in stars.

Mathematical Physics:

Cartesian system of base vectors: orthogonal basis, position vector. Vector differentiation: derivative of a vector, del operator, Gradient and its concept, Divergence, Curl.

Integration of Vectors: line integral, conservative forces, Gauss' divergence theorem, Expression in plane polar coordinate, cylindrical coordinates, spherical polar coordinates.

Suggested reading:

- An Introduction to Mechanics by Daniel Kleppner, Robert Kolenkow.
- Introduction to Electrodynamics by D. J. Griffiths.
- Concepts of Modern Physics by Arthur Beiser.
- Schaum’sOutlines.
- Daniel Schroeder, An Introduction to Thermal Physics
- Classical Dynamics, Thornton and Marion

Other than books recommended above, candidates can refer to their own study materials to prepare for the entrance exam.

Economics and English Studies

ECONOMICS

Basic understanding of development issues of Indian Economy

SuggestedReading:

- Dutt and Sundaram, "IndianEconomy". S. Chand Publisher, 2011 edition (Chapters to be referred: Chapter 3, 6, 14, 16, 22, 24, 29, 31.)

ENGLISH STUDIES

Understanding of the themes and trends in any of the following areas:

- British Literature
- European Literature
- Literature written in English
- South Asian Textual Cultures
- Literary & Cultural Theories
- Hermeneutics & Critical Theory
- Classical, Western & Indian Aesthetic Theories
- Theatre & Performance Studies
- Gender studies
- Translation studies
- Modernity & Secularization (with reference to South Asia)
- Political Theory

Pattern: Essay type questions that examine the student's ability to interpret the text and critically analyze it.

ICT-ARD Ph.D. entrance exam will be of 2 hours duration. The question paper will have 3 sections:

Part A- Analytical Reasoning, Basic Data Analysis and Interpretation (35% Weightage)

Syllabus:

Analytical Reasoning: 10th Standard Level

Basic Data Analysis and Interpretation: Introduction to data (types of data, data visualization, descriptive statistics), Graphs and distribution shapes, Measures of Central tendencies and dispersion, scatterplot, Correlation

Readings: Any graduate or undergraduate textbook that covers the content above will contain sufficient coverage to prepare for the exam.

Part B: General awareness (15% Weightage)

Syllabus: Basic understanding/awareness of current affairs in India with respect to rural development, for example- advantages/disadvantages of MNREGA scheme.

Part C: Specific research areas (50% Weightage)

The research areas, syllabus and suggested readings can be seen below.

Topics for Research:

- Sustainable Livelihoods

Syllabus:Basic understanding of sustainable livelihoods

Suggested Readings:

Ian Scoones (1998) Sustainable Rural Livelihoods: A Framework For Analysis IDS Working Paper 72;

Ian Scoones (2009) Livelihoods perspectives and rural development

IFAD: An IFAD Sustainable Livelihoods Framework

Diana Carney with Michael Drinkwater and Tamara Rusinow (CARE), KoosNeefjes (Oxfam) and Samir Wanmali and Naresh Singh (UNDP) Livelihoods Approaches Compared

- Rural Development and Sustainable Development

Syllabus:Basic understanding of rural development and sustainable development

Suggested Readings:

Unit One: What is Rural Development?

Katar Singh (2009) Rural Development: Principles, Policies and Management, *Third Edition, SAGE Publications Pvt. Ltd*

Jennifer A Elliott (2012) An Introduction to Sustainable Development, Third edition. Routledge.

Tatyana P. Soubbotina (2004). Beyond Economic Growth: An Introduction to Sustainable Development, Second Edition. The International Bank for Reconstruction and Development /THE WORLD BANK

- Participatory Development

Syllabus:Basic understanding of participatory development

Suggested Reading: Notes on Participatory Development,

FransGeilfus (2008). 80 Tools for Participatory Development: Appraisal, Planning, Follow-up and Evaluation Inter-American Institute for Cooperation on Agriculture (IICA). 2008.

- E-governance and development

Syllabus:Governance, good governance, Concepts related to e-governance/e-government, e-governance project case studies, e-governance maturity and delivery models, e-governance IT infrastructure, e-governance and IT-Act (2000), business models for e-governance implementation, policy issues in e-government, legislation and security, National e-governance plan (NEGP)

Suggested Readings:

Abbasi S (2005) Capacity Building and Institutional Framework for e-Governance, egov, August 2005, Vol 1, Issue 5, Centre for Science, Development and Media Studies, New Delhi, India.

Backus M, updated April 2001, E-Governance and Developing Countries; Introduction and examples,

Bhatnagar, Subhash, Unlocking E-Government Potential: Concepts, Cases and PracticalInsights, Sage Publications India Ltd, New Delhi, 2009

Bedi K, Singh P. J., Srivastava S (2001)

Government@net- new governance opportunities for India, Sage Publications India Pvt Ltd, New Delhi, India

Gupta M.P (2004) Promise of E-Governance: operational challenges, Tata McGraw- Hill Publishing Company Limited, New Delhi, India.

- Geographic Information System (GIS)

Syllabus:Nature of geographic data, Geographic information and spatial data types, Measuring Earth, Datum and Map Projections, GIS – context of GIS usage, GIS software, querying, maintenance and spatial analysis, Geographic database management system, Data entry and preparation, Spatial data analysis, Data visualization, Data quality and error propagation

Suggested Reading:Principles of Geographic Information system by Rolf A De Edited, ITC education textbook series 1

- Satellite Remote Sensing

Syllabus:Electromagnetic radiation – properties of EM radiation, coherent radiation, propagation of EM waves, attenuation, thermal radiation, source of EM radiation for remote sensing, Fundamentals of radiometry, Concept of signature – signature in OIR, TIR regions of major earth features like vegetation, water bodies, urban area, snow etc., Remote sensor – classification of remote sensor, spatial, spectral, radiometric and temporal resolutions, optical-infrared sensors, Selection of platform – principles of satellite motion, locating satellite in space, types of orbits, Data reception and data products – data format, data product generation, Data processing – geometric and radiometric corrections, Spatial data analysis – visual analysis, digital classification, classification accuracy

Suggested Reading:Fundamentals of remote sensing by George Joseph