• General Aptitude
• Engineering Mathematics
• Linear Algebra - 29 questions - Matrix algebra; Systems of linear equations; Eigen values and Eigen vectors.
• Calculus - 49 questions - Functions of single variable; Limit, continuity and differentiability; Mean value theorems, local maxima and minima; Taylor series; Evaluation of definite and indefinite integrals, application of definite integral to obtain area and volume; Partial derivatives; Total derivative; Gradient, Divergence and Curl, Vector identities; Directional derivatives; Line, Surface and Volume integrals.
• Ordinary Differential Equation (ODE) - 18 questions - First order (linear and non-linear) equations; higher order linear equations with constant coefficients; Euler-Cauchy equations; Laplace transform and its application in solving linear ODEs; initial and boundary value problems.
• Partial Differential Equation (PDE) - 12 questions - Fourier series; separation of variables; solutions of one- dimensional diffusion equation; first and second order one-dimensional wave equation and two-dimensional Laplace equation.
• Probability and Statistics - 25 questions - Sampling theorems; Conditional probability; Descriptive statistics - Mean, median, mode and standard deviation; Random Variables – Discrete and Continuous, Poisson and Normal Distribution; Linear regression.
• Numerical Methods - 20 questions - Error analysis. Numerical solutions of linear and non-linear algebraic equations; Newton’s and Lagrange polynomials; numerical differentiation; Integration by trapezoidal and Simpson’s rule; Single and multi-step methods for first order differential equations.
• Structural Engineering
• Geotechnical Engineering
• Water Resources Engineering
• Environmental Engineering
• Transportation Engineering
• Geomatics Engineering - 51 questions - Principles of surveying; Errors and their adjustment; Maps - scale, coordinate system; Distance and angle measurement - Levelling and trigonometric levelling; Traversing and triangulation survey; Total station; Horizontal and vertical curves. Photogrammetry and Remote Sensing - Scale, flying height; Basics of remote sensing and GIS.
• Others - 111 questions - Not yet Classified