Sections 
Topics 
Section 1 Engineering Mathematics

Linear Algebra: Matrix algebra, Systems of linear equations, Eigenvalues, and eigenvectors.
Calculus: Functions of a single variable, Limit, continuity and differentiability, Taylor series, 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 onedimensional heat and wave equations, and Laplace equation.
Complex variables: Complex number, polar form of a complex number, triangle inequality. Probability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Poisson, Normal and Binomial distributions, and Linear regression analysis.
Numerical Methods: Numerical solutions of linear and nonlinear algebraic equations. Integration by trapezoidal and Simpson’s rule. Single and multistep methods for the numerical solution of differential equations.

Section 2Process Calculations and Thermodynamics

Steady and unsteady state mass and energy balances including multiphase, multicomponent, reacting, and nonreacting systems. Use of tie components; recycle, bypass and purge calculations; Gibb’s phase rule and degree of freedom analysis.
First and Second laws of thermodynamics. Applications of first law to close and open systems. Second law and Entropy. Thermodynamic properties of pure substances: Equation of State and residual properties, properties of mixtures: partial molar properties, fugacity, excess properties, and activity coefficients; phase equilibria: predicting VLE of systems; chemical reaction equilibrium.

Section 3 Fluid Mechanics and Mechanical Operations

Fluid statics, surface tension, Newtonian and nonNewtonian fluids, transport properties, shellbalances including a differential form of Bernoulli equation and energy balance, equation of continuity, equation of motion, equation of mechanical energy, Macroscopic friction factors, dimensional analysis, and similitude, flow through pipeline systems, velocity profiles, flow meters, pumps and compressors, elementary boundary layer theory, flow past immersed bodies including packed and fluidized beds, Turbulent flow: fluctuating velocity, universal velocity profile and pressure drop.
Particle size and shape, particle size distribution, size reduction and classification of solid particles; free and hindered settling; centrifuge and cyclones; thickening and classification, filtration, agitation, and mixing; conveying of solids.

Section 4 Heat Transfer

Equation of energy, steady and unsteady heat conduction, convection and radiation, thermal boundary layer and heat transfer coefficients, boiling, condensation, and evaporation; types of heat exchangers and evaporators and their process calculations; design of double pipe, shell, and tube heat exchangers, and single and multiple effect evaporators.

Section 5 Mass Transfer

Fick’s laws, 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,liquidliquid extraction, drying, humidification, dehumidification and adsorption, membrane separations (microfiltration, ultrafiltration, nanofiltration and reverse osmosis).

Section 6 Chemical Reaction Engineering

Theories of reaction rates; kinetics of homogeneous reactions, interpretation of kinetic data, single and multiple reactions in ideal reactors, the kinetics of enzyme reactions (MichaelisMenten and Monod models), nonideal reactors; residence time distribution, single parameter model; nonisothermal reactors; kinetics of heterogeneous catalytic reactions; diffusion effects in catalysis; rate and performance equations for catalyst deactivation.

Section 7 Instrumentation and Process Control

Measurement of process variables; sensors and transducers; P&ID equipment symbols; process modeling and linearization, transfer functions and dynamic responses of various systems, systems with the inverse response, process reaction curve, controller modes (P, PI, and PID); control valves; transducer dynamics; analysis of closedloop systems including stability, frequency response, controller tuning, cascade, and feedforward control.

Section 8 Plant Design and Economics

Principles of process economics and cost estimation including depreciation and total annualized cost, cost indices, rate of return, payback period, discounted cash flow, optimization in process design, and sizing of chemical engineering equipment such as heat exchangers and multistage contactors.

Section 9 Chemical Technology

Inorganic chemical industries (sulfuric acid, phosphoric acid, Chloralkali industry), 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).
