
Year 1 Mark
Questions2 Marks
QuestionsTotal
QuestionsTotal
Marks2019, Set1 5 4 9 13 2019, Set2 6 4 10 14 2018, Set1 5 4 9 13 2018, Set2 5 4 9 13 2017, Set1 5 4 9 13 2017, Set2 6 4 10 14 2016, Set1 5 4 9 13 2016, Set2 5 4 9 13 2016, Set3 5 4 9 13 2015, Set1 5 4 9 13 2015, Set2 5 5 10 15 2015, Set3 5 4 9 13 2014, Set1 5 4 9 13 2014, Set2 5 4 9 13 2014, Set3 5 4 9 13 2014, Set4 5 4 9 13 2013 5 5 10 15 2012 5 5 10 15 2011 5 4 9 13 2010 5 4 9 13 2009 4 6 10 16 2008 6 9 15 24 2007 4 8 12 20 2006 4 8 12 20 2005 6 10 16 26 
Linear Algebra: Matrix algebra, systems of linear equations, eigenvalues and eigen vectors.
Calculus: Functions of single variable, limit, continuity and differentiability, mean value theorems, indeterminate forms; evaluation of definite and improper integrals;double and triple integrals; partial derivatives, total derivative, Taylor series (in one and two variables), maxima and minima, Fourier series; gradient, divergence and curl, vector identities, directional derivatives, line, surface and volume integrals, applications of Gauss, Stokes and Green’s theorems.
Differential equations: First order equations (linear and nonlinear); higher order linear differential equations with constant coefficients; EulerCauchy equation; initial and boundary value problems; Laplace transforms; solutions of heat, wave andLaplace’s equations.
Complex variables: Analytic functions; CauchyRiemann equations; Cauchy’s integral theorem and integral formula; Taylor and Laurent series.
Probability and Statistics: Definitions of probability, sampling theorems, conditional probability; mean, median, mode and standard deviation; random variables, binomial, Poisson and normal distributions.
Numerical Methods: Numerical solutions of linear and nonlinear algebraic equations; integration by trapezoidal and Simpson’s rules; single and multistep methods for differential equations.