ENGINEERING MATHEMATICS
Linear Algebra: Matrix algebra, Systems of
linear equations, Eigen values and
eigenvectors.
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.
Differential equations: 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.
Complex variables: Analytic functions,
Cauchy's integral theorem, Taylor and
Laurent series.
Probability and Statistics: Definitions of
probability and sampling theorems,
Conditional probability, Mean, median, mode
and standard deviation, Random variables,
Poisson, Normal and Binomial distributions.
Numerical Methods: Numerical solutions of
linear and non-linear algebraic equations
Integration by trapezoidal and Simpson's
rule, single and multi-step methods for
differential equations.
CHEMICAL ENGINEERING
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 and
their applications; equations of state and
thermodynamic properties of real systems;
phase equilibria; fugacity, excess
properties and correlations of activity
coefficients; chemical reaction equilibria.
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.
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.
Mass Transfer: Fick's law, molecular
diffusion in fluids, mass transfer
coefficients, film, penetration and surface
renewal theories; momentum, heat and mass
transfer analogies; stagewise and continuous
contacting and stage efficiencies; HTU &
NTU concepts design and operation of
equipment for distillation, absorption,
leaching, liquid-liquid extraction,
crystallization, drying, humidification,
dehumidification and adsorption.
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; non-isothermal reactors; kinetics of
heterogeneous catalytic reactions; diffusion
effects in catalysis.
Instrumentation and Process Control:
Measurement of process variables; sensors,
transducers and their dynamics, dynamics of
simple systems, dynamics such as CSTRs,
transfer functions and responses of simple
systems, process reaction curve, controller
modes (P, PI, and PID); control valves;
analysis of closed loop systems including
stability, frequency response (including
Bode plots) and controller tuning, cascade,
feed forward control.
Plant Design and Economics: 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.
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.
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