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**ENTRANCE TEST ON JULY 5th, 2020**

PU-MEET is an entrance test conducted by Panjab University, Chandigarh for admission to 2nd year of B.E./B.Tech courses in all branches

Institute with minimum aggregate marks of 60% and have appeared in JEE examination in previous session.

PU-MEET test will facilitate lateral entry of engineering students to get admission in 2nd year of B.E./B.Tech courses of P.U. campus Chandigarh

PU-MEET is the best opportunity for the students of UIET Hoshiarpur to get admission in P.U. campus Chandigarh.

PU-MEET test is the golden chance for all the students studying in any university or college of India to get admission (and can improve his/her branch) in PU Chandigarh.

**MVM Classes Chandigarh is providing online classes for PU-MEET**. Since 2007 MVM Classes is providing coaching for PU-LEET (Lateral Entry Entrance Test) and also providing online/classroom coaching for PU-MEET. Student’s of MVM Classes are getting rank 1 in PU-LEET since 2010 and rank 3rd in PU-MEET – 2019. MVM Classes Chandigarh is **best coaching institute for PU-LEET and PU-MEET** with experienced and dedicated faculty from renowned universities.

**Infinite Series:** Infinite series and convergence, alternating series, power series and convergence. Taylor’s and Maclaurin’s Series.

M**ultivariable Functions:** Limit, Continuity and Partial Derivatives; Euler’s Theorem for Homogeneous functions; Differentiability, Linearization and Differentials; Chain rule; Extreme values and Saddle Points; Lagrange multipliers; Taylor’s Formula.

**Vectors:** Gradient, Divergence, Curl, Statement of Green’s, Gauss and Stoke’s Theorem and their simple applications.

**Integral Calculus:** Area between plane curves; Volumes of solids of revolution; Lengths of plane curves; Areas of surfaces of revolution. Double integrals in rectangular and Polar form, Triple integrals in Rectangular, Cylindrical and Spherical coordinates, Substitutions in Multiple Integrals.

**Ordinary Differential Equations:** First order exact differential equations, Integrating factor, Orthogonal trajectories, Second and Higher order Linear Differential Equations with constant coefficients, Differential Operators, Methods of Variation of Parameters and Undetermined Coefficients, Euler Cauchy Equation, Wronskian.

**Fourier Series:** Euler’s Formulae, Dirichlet’s Conditions for Expansion, Change of interval, Odd and Even Functions, Expansion of Odd and Even Periodic Functions.

**Partial Differential Equations (Pde’s):** Formation and classification of partial differential equations, first order linear equations, standard forms of non linear equations

**Engineering Applications of Pde’s:** Method of separation of variables , Solution of partial differential equations of engineering interest by the method of separation of variables.

**Laplace Transforms:** Definition, Transforms of Elementary functions, Properties of Transforms, Inverse Transforms, Transforms of Derivatives, Unit Step Function, Dirac’s Delta Function & Unit Impulse function. Periodic Functions, Application of Transform to the solution of ordinary Differential equations

**Oscillations:** Review of SHM, differential equation of a damped oscillator and different kinds of damping, methods of describing damping of an oscillator, differential equation of forced oscillator – its displacement, velocity and impedance, behaviour of displacement and velocity with driver’s frequency, Power, bandwidth, Quality factor and amplification of forced oscillator, resonance in forced oscillators.

**Optics Interference:** Fresnel’s biprism, Newton’s rings, Michelson interferometer. Diffraction pattern of plane transmission grating, dispersive power & resolving power of a grating. Polarization: Methods of polarization, analysis of polarized light. Lasers: LASER generation, Helium-Neon, Ruby and semiconductor lasers.

**Special Theory Of Relativity** Inertial and non-inertial frames of reference, Galilean transformation, Michelson Morley Experiment, postulates of special theory of relativity, Lorentz transformation, Simultaneity, Length contraction, Time dilation, Doppler effect, Addition of velocities, variation of mass with velocity, mass-energy relation.

**Quantum Physics** Quantum theory of light, X-rays production, spectrum & diffraction (Bragg‟s law), photoelectric effect, Compton effect, uncertainty principle and applications, time-dependent and time-independent Schrodinger equations and its interpretation, normalization, expectation values, Schrödinger’s equation applied to a particle in a box (infinite potential well)

**Physics Of Materials** Chemical bonding forces and energies, Primary and Secondary bonds, Space Lattices, Symmetries in a cubic lattice, Crystal Structures (cubic and hexagonal cells), Assignment of coordinates, directions and planes in crystals, Linear, Planar and Space densities in crystals, X-ray diffraction and Bragg’s law, Crystal Defects.

**Chemical Bonding:** Molecular orbital and valence bond theories of bond formation, application of molecular orbital theory to the formation of homonuclear and heteronuclear diatomic molecules.
Crystal Structure, Crystal Structures (cubic and hexagonal cells), close packed morphology (Hexagonal and cubic close packing), single and polycrystalline structures, interstitial spaces (trigonal, tetrahedral and octahedral voids), structure of ceramics (NaCl, Zinc blende, silica and silicates, diamond crystal, graphite).
Coordination Chemistry Introduction, crystal field theory, splitting of octahedral, tetrahedral and square planner complexes, crystal field stabilization energies of octahedral and tetrahedral complexes and its applications.

**Environmental Chemistry:** Classification of pollutants, the greenhouse effect, toxic heavy metals, organic compounds as environmental pollutants, ozone layer depletion.
Corrosion Types of corrosion, dry and wet corrosion and their mechanisms, types of electrochemical corrosion(galvanic, pitting, waterline, differential aeration, soil, microbiological, inter-granular, stress corrosion), factors influencing corrosion, prevention of corrosion.

**Thermodynamics:** State functions, work, heat, internal energy, enthalpy, heat capacity. Zeroth law of thermodynamics, first law of thermodynamics, reversible-irreversible, isothermal adiabatic expansion & compression of an ideal gas, Carnot cycle and efficiency of reversible engines, enthalpy change and it's measurement, second and third law of thermodynamics, concept of entropy, Gibb’s and Helmholtz equations. Simple numericals for calculating w, q, ΔE, ΔH and entropy.

**Solution Chemistry:** Liquid and liquid mixtures, vapour pressures, saturation, vapour liquid equilibrium calculations using Raoult’s law, colligative properties.

**Polymers:** General introduction, classification of polymers, mechanism of addition and condensation polymerization, properties and uses of polyester, polyamide, epoxy, phenolformaldehyde and silicon resins.

**ELECTRICAL & ELECTRONICS ENGINEERING (10 Questions)**

DC Circuits and Single Phase A.C. Fundamentals General introduction to Electrical Engineering, Kirchoff’s Laws ,Mesh and Node analysis, Superposition theorem , Thevenin Theorem, Norton Theorem, Maximum power transfer theorem. Generation of alternating voltages and currents, Equations for AC quantities, cycle, time period, frequency, amplitude, calculation of R.M.S values, Average values for different waveforms, solution and phasor diagram of single phase AC circuit with sinusoidal source of excitation, series and parallel combination of R-L-C circuits.

Three Phase AC Fundamentals Disadvantages of single phase system, star and delta connection in three phase circuits, relation between line and phasor quantities, power in three phase system, solution of three phase balanced circuits, power and power factor measurement by two wattmeter method.

**Electrical Machines:** Basic principle and construction of transformers, E.M.F equation, approximate equivalent circuit, phasor diagram, losses, efficiency and condition for maximum efficiency, open circuit and short circuit test on single phase transformers. Operating principle and construction of three phase induction motors, Operating principle and construction of DC Machines, types of DC Machine & E.M.F equations

**Semiconductor Diodes and Transistors:** General introduction to Electronics. Concept of stiff Voltage and Current Source. PN Junction, Depletion layer, Barrier Potential, Forward and Reverse Bias, Breakdown voltage, V-I characteristics, Half wave and full wave rectifiers, Zener diode. Introduction to junction transistors, Transistor amplifying action, CB, CE, CC-configuration characteristics.

**Digital Electronics:** Binary and Hexadecimal number system, conversion of numbers from one system to other, OR, Relations: Commutative, Associative and Distributive Laws. Concept of flip-flops, RS, JK flip flops, shift register

**ENGINEERING (5 Questions)**

Mechanics Force Resolution of a force, composition of forces, moment of force, properties of couple. Equilibrium of bodies, kinematics and kinetics of a particle, Newton's laws of motions, types of motions, D'Alembert's Principle, centroid, centre of gravity, Momentum and Impulse, conservation of energy, conservation of linear momentum, collision of elastic bodies, co-efficient of restitution, Friction, laws of friction, angle of friction, angle of repose, Mechanical vibrations, free vibration, forced vibrations, Simple Harmonic Motion (SHM), amplitude, frequency and time period in SHM.

Mechanics Of Materials Mechanical properties of materials, stress, types of stress, strain, types of strain, Poisson's ratio, Hook's law, strain energy, elastic limit, elastic constants (E, G and K), stress-strain curve.

Manufacturing Technology Different parts of a lathe, operations performed on lathe: centering, turning, knurling chamfering etc. CNC machining, Fitting operations: sawing, chipping, fitting, grinding, marking, reaming, tapping, drilling & external threading, safety precautions in welding, types of welding, types of welding joints.

Engineering Drawing Various type of lines used in engineering drawing, principles of 1st angle, 2nd angle, 3rd angle and 4th angle Projections, orthographic projection of points, lines, planes and solids, developments of surfaces, Isometric projection.

**CHEMICAL ENGINEERING (5 Questions)**

Introduction to Engineering Calculations: Units and dimensions, conversion of units, systems of units, dimensional homogeneity and dimensionless quantities, Conversions involving process variables like pressure, temperature, density/specific gravity, mass, volume, flow rate and chemical composition. Chemical equations and stoichiometry.

Systematic analysis of chemical processes: Unit operations and unit processes, material and energy balances, thermodynamics, chemical reaction engineering, Introduction to material balances without chemical reactions. Limiting and excess reactants. Recycle, Bypass and Purge calculations.

Gas laws and humidity calculations P-V-T relations for gas and gas mixtures, calculations using ideal gas law, Use of compressibility charts and equations of state (Vander Waals') to predict real gas properties from experimental data. Vapour pressure calculations, Clausius Clapeyron equation, saturation vapour pressure, vapour-liquid equilibrium calculations using Raoult's law and Henry's law, relative humidity, partial saturation and humidity.

Writing Skills Basics of Grammar – Word Order, Sentence Construction, Placing of Subject and Verbs, Parts of Speech - Nouns, Pronouns, Adjectives, Verbs ,Use of Tenses, Articles, Active-Passive

Non-Verbal Communication, Body Language Components of Non-Verbal Communication and Body Language

Communication in organizations Informal and formal communication, Communication Networks.