Hi, the syllabus for the entrance test is as follows
Aptitude Test for Diploma Holders in Engineering
Engineering Mechanics, Engineering Graphics, Basic Electrical Engineering, Basic ElectronicsEngineering, Elements of Computer Science, Elementary Biology, Basic Workshop Practice and Physics/Chemistry/ Maths of Diploma standard.
OR
Aptitude Test for B.Sc. Graduate in Engineering
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.Calculus: Mean values theorems, Theorems of integral calculus, Evaluation of definite and improperintegrals, Partial Derivations, Maxima and minima, multiple integrals, Fourier series, Vector identities,Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
Differential equations : First order equation (linear and nonlinear), Higher order linear differentialequations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations,Initial and boundary value problems, Linear partial differential equations with constant coefficients of 2ndorder and their classifications and variable separable method.
Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s andLaurent’s series, Residue theorem, Solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, Mode and Standard deviation, Random variables. Discrete and continuous distributions, Poisson, Normal andBionomial distribution, Correlation and regression analysis.
Fourier Series : Periodic functions, Trigonometric series, Fourier series of period 2π, Euler’s formulae,Functions having arbitrary period, Change of interval, Even and odd functions, Half range sine andcosine series.
Transform Theory: Laplace transform, Laplace transform of derivatives and integrals, Inverse Laplace transform, Laplace transform of periodic functions, convolution theorem, Application to solve simplelinear and simultaneous differential equations. Fourier integral, Fourier complex transform, Fourier sine and cosine transforms and applications to simple heat transfer equations. Z-transform and its application to solve differential equations.
Past year question papers - you may have to write to the University
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