Engineering Mathematics | Linear Algebra | Matrices and Determinants, Systems of Linear Equations, EigenValues 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 Densities, 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, Residue Theorem. |
Probability and Statistics | Definitions of Probability and Sampling Theorems, Conditional Probability, Probability Density Function, |
Mean, Median, Mode and Standard Deviation, Random Variables, Exponential, 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 | Steady state mass and energy balances for reacting and non-reacting systems; 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. |
Fluid Mechanics and Mechanical Unit Operations Heat Transfer | Fluid Statics, Newtonian and Non-Newtonian Fluids, Bernoulli Equation, Macroscopic Friction Factors, Energy Balance, |
Dimensional Analysis, Flow Through Pipeline Systems, Flow Meters, Pumps and Compressors, Packed and Fluidized Beds, |
Particle size and shape, Particle distribution, Size Reduction and Size Separation; Free and Hindered Settling; |
Centrifuge and Cyclones; Thickening and Classification, Filtration, Mixing and Agitation; Handling and Conveying |
of Solids. |
Conduction, Convection and Radiation, Heat Transfer Coefficients, Steady and Unsteady Heat Conduction, Boiling, |
Condensation and Evaporation; Types of Heat Exchangers and Evaporators and Their Working Principles. |
Mass Transfer | Fick's Law, Molecular Diffusion in Fluids, Mass Transfer Coefficients, Two Film, Penetration and Surface Renewal |
Theories; Momentum, Heat and Mass Transfer Analogies; Gas-liquid Contacting Equipment and Stage Efficiencies; HTU |
& NTU Concepts in Absorption, Batch Distillation, McCabe-Thiele and Ponchan–Savarit Methods in Continuous Distillation, |
Leaching, Extraction Principles, Fundamentals of Drying, Humidification, Crystallization 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 Distribution, Single Parameter Model; Non-Isothermal |
Reactors; Kinetics of Heterogeneous Catalytic Reactions; Diffusion Effects in Catalysis, Rate and Performance |
Equation for Catalyst Deactivation. |
Instrumentation and Process Control | Static and Dynamic Characteristics of Instruments, Instruments for Measuring Temperature, Pressure and Concentration, |
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. |
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 Selection and Sizing of Chemical |
Process Equipment Such as Heat Exchangers and Multistage Contactors. |
Chemical Technology | Inorganic Chemical Industries; Sulfuric Acid, Phosphoric Acid, Chlor-alkali Industry 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. |
