**ENGINEERING
MATHEMATICS:**

Determinants & matrices, system of linear equations,
eigenvalues and eigenvectors.
**Calculus** - mean value theorems of
integral calculus, partial, total and directional derivatives,
maxima and minima. Sequences and Series, convergence, Fourier
series.
**Vector calculus** - gradient,
divergence and curl, line and surface integrals, Green, Gauss and
Stokes' theorems. Ordinary differential equations - first order
equations linear and nonlinear equations, higher order linear
equations with constant coefficients, initial and boundary value
problems, Laplace transforms.

**Complex analysis** -complex
numbers, polar form of complex numbers, Powers and roots, limit,
derivative, analytical functions.
**Probability and Statistics** -
concept of probability, means and variance, linear regression
analysis.

**PROCESS
CALCULATIONS AND THERMODYNAMICS:**

Laws of conservation of mass and
energy; use of tie components; recycle, bypass and purge
calculations; degrees of freedom. 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, Macroscopic energy balance, Bernoulli
equation, dimensional analysis, continuity equation, 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; centrifuges 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, mass
transfer coefficients, Film, penetration and surface renewal
theories; momentum, heat and mass transfer analogies; stagewise and
continuous contacting and stage efficiencies; 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;
non-isothermal reactors; kinetics of heterogeneous catalytic
reactions; diffusional effects in catalysis.

**INSTRUMENTATION
AND PROCESS
CONTROL:**

Measurement of process variables; dynamics of simple systems such
as CSTRs, heat exchangers etc.; 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.

**PLANT DESIGN AND ECONOMICS:**

Design of chemical engineering
equipment; principles of process economics and cost
estimation.

**CHEMICAL TECHNOLOGY:**

Inorganic chemical industries;
sulfuric acid, NaOH, fertilizers; natural products industries (Pulp
and Paper, Sugar, Oil, and Fats); petroleum refining and
petrochemicals; polymerization industries: polyethylene,
polypropylene and synthetic fibres.

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