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Engineering Mathematics:__

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Linear Algebra***:
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Matrix algebra, Systems of linear equations, Eigen values
and eigenvectors.

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Calculus***:
*
Functions of single variable, Limit, continuity and
differentiability, Mean value theorems, Evaluation of
definite and improper integrals, Partial derivatives, Total
derivative, Maxima and minima, Gradient, Divergence and
Curl, Vector identities, Directional derivatives, Line,
Surface and Volume integrals, Stokes, Gauss and Green’s
theorems.

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Differential equations***:
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First order equations (linear and nonlinear), Higher order
linear differential equations with constant coefficients,
Cauchy’s and Euler’s equations, Initial and boundary value
problems, Laplace transforms, Solutions of one dimensional
heat and wave equations and Laplace equation.

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Complex variables***:
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Analytic functions, Cauchy’s integral theorem, Taylor and
Laurent series, Residue theorem.

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Probability and Statistics***: *
Definitions of probability and sampling theorems, Conditional
probability, Mean, median, mode and standard deviation,
Random variables, Poisson, Normal and Binomial
distributions.

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Numerical Methods***:
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Numerical solutions of linear and non-linear algebraic
equations Integration by trapezoidal and Simpson’s rule,
single and multi-step methods for differential equations.

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Chemical Engineering:__

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Process Calculations and Thermodynamics: **
Laws of conservation of mass and energy; use of tie components;
recycle, bypass and purge calculations; degree of freedom
analysis. First and Second laws of thermodynamics. First law
application to close and open systems. Second law and
Entropy Thermodynamic properties of pure substances:
equation of state and departure function, properties of
mixtures: partial molar properties, fugacity, excess
properties and activity
coefficients; phase equilibria: predicting VLE of systems;
chemical reaction equilibria.

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Fluid Mechanics and Mechanical Operations: **
Fluid statics, Newtonian and non-Newtonian fluids, Bernoulli
equation, Macroscopic friction factors, energy balance,
dimensional analysis, shell balances, flow through pipeline
systems, flow meters, pumps and compressors, packed and
fluidized beds, elementary boundary layer theory, size
reduction and size separation; free and hindered settling;
centrifuge and cyclones; thickening and classification,
filtration, mixing and agitation; conveying of solids.

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Heat Transfer: **
Conduction, convection and radiation, heat transfer
coefficients, steady and unsteady heat conduction, boiling,
condensation and evaporation; types of heat exchangers and
evaporators and their design.

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Mass Transfer: **
Fick’s laws, molecular diffusion in fluids, mass transfer
coefficients, film, penetration and surface renewal
theories; momentum, heat and mass transfer analogies; stage
wise and continuous contacting and stage efficiencies; HTU &
NTU concepts design and operation of equipment for
distillation, absorption, leaching, liquid-liquid
extraction, drying,
humidification, dehumidification and adsorption.

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Chemical Reaction Engineering: **
Theories of reaction rates; kinetics of homogeneous reactions,
interpretation of kinetic data, single and multiple
reactions in ideal reactors, non-ideal reactors; residence
time distribution, single parameter model; non-isothermal
reactors; kinetics of heterogeneous catalytic reactions;
diffusion effects in catalysis.

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Instrumentation and Process Control: **
Measurement of process variables; sensors, transducers and their
dynamics, transfer functions and dynamic responses of simple
systems, process reaction curve, controller modes (P, PI,
and PID); control valves; analysis of closed loop systems
including stability, frequency response and controller
tuning, cascade, feed forward
control.

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Plant Design and Economics: **
Process design and sizing of chemical engineering equipment such as
compressors, heat exchangers, multistage contactors;
principles of process economics and cost estimation
including total annualized cost, cost indexes, rate of
return, payback period, discounted cash flow, optimization
in design.

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Chemical Technology: **
Inorganic chemical industries; sulfuric acid, NaOH,
fertilizers (Ammonia, Urea, SSP and TSP); natural products
industries (Pulp and Paper, Sugar, Oil, and Fats); petroleum
refining and petrochemicals; polymerization industries;
polyethylene, polypropylene, PVC and polyester synthetic
fibers.