Will you please provide me the Osmania University M.Tech(PGCET) exam Syllabus for Chemical Engineering???

This is the Osmania University M.Tech(PGCET) exam Syllabus for Chemical Engineering:

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 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, 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.
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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