## CSIR UGC NET Exam Syllabus 2021 for Engineering Sciences

CSIR UGC NET Engineering Sciences Syllabus 2021: UGC NET is conducted by CBSE on behalf of UGC  for determining the eligibility of Indian nationals for the Eligibility for Assistant Professor only or Junior Research Fellowship & Eligibility for Assistant Professor both in Indian Universities and Colleges. This page includes syllabus for CBSE UGC NET 2021 Engineering Sciences.

Given Below is the Syllabus for CSIR UGC NET Engineering Sciences Exam.  CSIR had recently introduced a New Subject “Engineering Sciences” with the intention  to encourage engineering graduates to pursue PhD Courses.

### SYLLABUS FOR ENGINEERING SCIENCES

Engineering Sciences

Part ‘A’: This part shall carry 20 questions pertaining to General Aptitude with Emphasis on Logical Reasoning Graphical Analysis, Analytical and Numerical Ability, Quantitative Comparisons, Series Formation, Puzzles etc

The candidates shall be required to answer any 15 questions

Each question shall be of two marks

The total marks allocated to this section shall be 30 out of 200

Also See: UGC NET 2021 Notification

Part ‘B’

Mathematics and Engineering Aptitude

Linear Algebra: Algebra of Matrices, Inverse, Rank, System of Linear Equations, Symmetric, Skew-symmetric and Orthogonal Matrices

Hermitian, skew-Hermitian and unitary matrices

Eigenvalues and Eigenvectors, Diagonalisation of Matrices

Calculus: Functions of single variable, limit, continuity and differentiability, Mean value theorems, Indeterminate forms and L’Hospital rule, Maxima and minima, Taylor’s series, Newton’s method for finding roots of polynomials

Fundamental and mean value-theorems of integral calculus

Numerical integration by trapezoidal and Simpson’s rule

Evaluation of definite and improper integrals, Beta and Gamma functions, Functions of two variables, limit, continuity, partial derivatives, Euler’s theorem for homogeneous functions, total derivatives, maxima and minima, Lagrange method of multipliers, double integrals and their applications, sequence and series, tests for convergence, power series, Fourier Series, Half range sine and cosine series

Complex Variables: Analytic functions, Cauchy-Riemann equations, Line integral, Cauchy’s integral theorem and integral formula Taylor’s and Laurent’ series, Residue theorem and its applications

Vector Calculus: Gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, Stokes, Gauss and Green’s theorems and their applications

Ordinary Differential Equations: First order equation (linear and nonlinear), second order linear differential equations with variable coefficients, Variation of parameters method, higher order linear differential equations with constant coefficients, Cauchy-Euler’s equations, power series solutions, Legendre polynomials and Bessel’s functions of the first kind and their properties

Numerical solutions of first order ordinary differential equations by Euler’s and Runge-Kutta methods

Probability: Definitions of probability and simple theorems, conditional probability, Bayes Theorem

Solid Body Motion and Fluid Motion: Particle dynamics; Projectiles; Rigid Body Dynamics; Lagrangian formulation; Eularian formulation; Bernoulli’s Equation; Continuity equation; Surface tension; Viscosity; Brownian Motion

Energetics: Laws of Thermodynamics; Concept of Free energy; Enthalpy, and Entropy; Equation of State; Thermodynamics relations

Electron Transport: Structure of atoms, Concept of energy level, Bond Theory; Definition of conduction, Semiconductor and Insulators; Diode; Half wave & Full wave rectification; Amplifiers & Oscillators; Truth Table

Electromagnetics: Theory of Electric and Magnetic potential and field; Biot and Savart’s Law; Theory of Dipole; Theory of Oscillation of electron; Maxwell’s equations; Transmission theory; Amplitude and Frequency Modulation

Materials: Periodic table; Properties of elements; Reaction of materials; Metals and non-Metals (Inorganic materials), Elementary knowledge of monomeric and polymeric compounds; Organometallic compounds; Crystal structure and symmetry, Structure-property correlation-metals, ceramics, and polymers

Part ‘C’

Computer Science and Information Technology

Basic Discrete Mathematics: Counting principles, linear recurrence, mathematical induction, equation sets, relations and function, predicate and propositional logic

Digital Logic: Logic functions, Minimization, Design and synthesis of combinational and sequential circuits; Number representation and computer arithmetic (fixed and floating point)

Computer Organization and Architecture: Machine instructions and addressing modes, ALU and data-path, CPU control design, Memory interface, I/O interface (Interrupt and DMA mode), Instruction pipelining, Cache and main memory, Secondary storage

Programming and Data Structures: Programming in C; Functions, Recursion, Parameter passing, Scope, Binding; Abstract data types, Arrays, Stacks, Queues, Linked Lists, Trees, Binary search trees, Binary heaps

Algorithms: Analysis, Asymptotic notation, Notions of space and time complexity, Worst and average case analysis; Design: Greedy approach, Dynamic programming, Divide-and conquer; Tree and graph traversals, Connected components, Spanning trees, Shortest paths; Hashing, Sorting, Searching

Asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds, Basic concepts of complexity classes P, NP, NP-hard, NP-complete

Operating System: Processes, Threads, Inter-process communication, Concurrency, Synchronization, Deadlock, CPU scheduling, Memory management and virtual memory, File systems

Databases: ER-model, Relational model (relational algebra, tuple calculus), Database design (integrity constraints, normal forms), Query languages (SQL), File structures (sequential files, indexing, B and B+ trees), Transactions and concurrency control

Information Systems and Software Engineering: Information gathering, requirement and feasibility analysis, data flow diagrams, process specifications, input/output design, process life cycle, planning and managing the project, design, coding, testing, implementation, maintenance

Electrical Sciences

Electric Circuits and Fields: 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, measurement of power in 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

Electrical Machines: Magnetic circuits

Magnetic circuits, 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 , starting and speed control of dc 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 synchronous machine operating as generators, starting and speed control of synchronous motors and its 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 and frequency control, power factor correction; unbalanced analysis, symmetrical components, basic concepts of protection and stability; Introduction to HVDC systems

Control Systems: Principles of feedback control, transfer function, block diagrams, steady state errors, Routh and Nyquist techniques, Bode plots, Root loci, Lag, Lead and Lead-lag compensation; proportional, PI, PID controllers, state space model, state transition matrix, controllability and observability

Power Electronics and Drives: Semiconductor Power devices-power diodes, power transistors, thyristors, triacs, GTOs, MOSFETs, IGBTs-their characteristics and basic triggering circuits; diode rectifiers, thyristor based line commutated ac to dc converters, dc to dc converters-buck, boost, buck-boost, c‘uk, flyback, forward, push-pull converters, single phase and three phase dc to ac inverters and related pulse width modulation techniques, stability of electric drives; speed control issues of dc motors, induction motors and synchronous motors

Electronics

Analog Circuits and Systems: Electronic devices: characteristics and small-signal equivalent circuits of diodes, BJTs and MOSFETs. Diode circuits: clipping, clamping and rectifier. Biasing and bias stability of BJT and FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers. Op-amp circuits: voltage-to-current and current-to voltage converters, active filters, sinusoidal oscillators, wave-shaping circuits, effect of practical parameters (input bias current, input offset voltage, open loop gain, input resistance, CMRR). Electronic measurements: voltage, current, impedance, time, phase, frequency measurements, oscilloscope

Digital Circuits and Systems: Boolean algebra and minimization of Boolean functions. Logic gates, TTL and CMOS IC families. Combinatorial circuits: arithmetic circuits, code converters, multiplexers and decoders. Sequential circuits: latches and flip-flops, counters and shift registers. Sample-and-hold circuits, ADCs, DACs. Microprocessors and microcontrollers: number systems, 8085 and 8051 architecture, memory, I/O interfacing, Serial and parallel communication

Signals and Systems: Linear time invariant systems: impulse response, transfer function and frequency response of first- and second order systems, convolution. Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. Sampling theorem, Discrete-time systems: impulse and frequency response, IIR and FIR filters

Communications: Amplitude and angle modulation and demodulation, frequency and time division multiplexing. Pulse code modulation, amplitude shift keying, frequency shift keying and pulse shift keying for digital modulation. Bandwidth and SNR calculations. Information theory and channel capacity

Materials Science

Structure: Atomic structure and bonding in materials. Crystal structure of materials, crystal systems, unit cells and space lattices, miller indices of planes and directions, packing geometry in metallic, ionic and covalent solids. Concept of amorphous, single and polycrystalline structures and their effect on properties of materials. Imperfections in crystalline solids and their role in influencing various properties

Diffusion: Fick’s laws and application of diffusion

Metals and Alloys: Solid solutions, solubility limit, phase rule, binary phase diagrams, intermediate phases, intermetallic compounds, iron-iron carbide phase diagram, heat treatment of steels, cold, hot working of metals, recovery, recrystallization and grain growth. Microstructure, properties and applications of ferrous and non-ferrous alloys

Ceramics, Polymers, and Composites: Structure, properties, processing and applications of ceramics. Classification, polymerization, structure and properties, processing and applications. Properties and applications of various composites

Materials Characterization Tools: X-ray diffraction, optical microscopy, scanning electron microscopy and transmission electron microscopy, differential thermal analysis, differential scanning calorimetry

Materials Properties: Stress-strain diagrams of metallic, ceramic and polymeric materials, modulus of elasticity, yield strength, tensile strength, toughness, elongation, plastic deformation, viscoelasticity, hardness, impact strength, creep, fatigue, ductile and brittle fracture. Heat capacity, thermal conductivity, thermal expansion of materials. Concept of energy band diagram for materials-conductors, semiconductors and insulators, intrinsic and extrinsic semiconductors, dielectric properties. Origin of magnetism in metallic and ceramic materials, paramagnetism, diamagnetism, antiferro magnetism, ferromagnetism, ferrimagnetism, magnetic hysteresis

Environmental Degradation: Corrosion and oxidation of materials, prevention

Fluid Mechanics

Fluid Properties: Relation between stress and strain rate for Newtonian fluids; Buoyancy, manometry, forces on submerged bodies

Kinematics: Eulerian and Lagrangian description of fluid motion, strain rate and vorticity; concept of local and convective accelerations, steady and unsteady flows

Control Volume Based Analysis: Control volume analysis for mass, momentum and energy. Differential equations of mass and momentum (Euler equation), Bernoulli’s equation and its applications, Concept of fluid rotation

Potential Flow: Vorticity, Stream function and Velocity potential function; Elementary flow fields and principles of superposition, potential flow past a circular cylinder

Dimensional Analysis: Concept of geometric, kinematic and dynamic similarity, Non-dimensional numbers and their usage

Viscous Flows: Navier-Stokes Equations; Exact Solutions; Couette Flow, Fully-developed pipe flow, Hydrodynamic lubrication, Basic ideas of Laminar and Turbulent flows, Prandtl-mixing length, Friction factor, Darcy-Weisbach relation, Simple pipe networks

Boundary Layer: Qualitative ideas of boundary layer, Boundary Layer Equation; Separation, Streamlined and bluff bodies, drag and lift forces

Measurements: Basic ideas of flow measurement using venturimeter, pitot-static tube and orifice plate

Solid Mechanics: Equivalent force systems; free-body diagrams; equilibrium equations; analysis of determinate trusses and frames; friction; simple particle dynamics; plane kinematics and kinetics; work-energy and impulse-momentum principles; stresses and strains; principal stresses and strains; Mohr’s circle; generalized Hooke’s Law; thermal strain. Axial, shear and bending moment diagrams; axial, shear and bending stresses; deflection of beams (symmetric bending); Torsion in circular shafts; thin walled pressure vessels. Energy methods (Catigliano’s theorems) for analysis. Combined axial, bending and torsional action; Theories of failure. Buckling of columns. Free vibration of single degree of freedom systems

Thermodynamics

Basic Concepts: Continuum, macroscopic approach, thermodynamic system (closed and open or control volume); thermodynamic properties and equilibrium; state of a system, state diagram, path and process; different modes of work; Zeroth law of thermodynamics; concept of temperature; heat

First Law of Thermodynamics: Energy, enthalpy, specific heats, first law applied to closed systems and open systems (control volumes), steady and unsteady flow analysis

Second Law of Thermodynamics: Kelvin-Planck and Clausius statements, reversible and irreversible processes, Carnot theorems, thermodynamic temperature scale, Clausius inequality and concept of entropy, principle of increase of entropy, entropy balance for closed and open systems, exergy (availability) and irreversibility, non-flow and flow exergy

Properties of Pure Substances: Thermodynamic properties of pure substances in solid, liquid and vapor phases, P-V-T behaviour of simple compressible substances, phase rule, thermodynamic property tables and charts, ideal and real gases, equations of state, compressibility chart

Thermodynamic Relations: T-ds relations, Maxwell equations, Joule-Thomson coefficient, coefficient of volume expansion, adiabatic and isothermal compressibilities, Clapeyron equation

Thermodynamic Cycles: Carnot vapour power cycle; simple Rankine cycle, reheat and regenerative Rankine cycle; Air standard cycles: Otto cycle, Diesel cycle, simple Brayton cycle, Brayton cycle with regeneration, reheat and intercooling; vapour-compression refrigeration cycle

Ideal Gas Mixtures: Dalton’s and Amagat’s laws, calculations of properties (internal energy, enthalpy, entropy), air-water vapour mixtures and simple thermodynamic processes involving them.

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