GATE Robotics and Automation (RA)

Your paper is sat in two parts. Part A is common, 60 marks: Engineering Mathematics (A.1), Basics of Mechatronics (A.2) and Principles of Robotics and Automation (A.3). Then you choose, in the exam, one of Part B1, Electrical Engineering, or Part B2, Mechanical Engineering, for 25 marks; the mock builds Part A and the part you pick, and shows a pooled paper until you have picked. A.1 is mostly in the shared chapters: rank, systems and eigenvalues; limits, derivatives, definite integrals, partial derivatives, maxima and minima and multiple integrals; gradient, divergence and curl; first-order and higher-order equations, Euler–Cauchy, Laplace transforms and separation of variables; Fourier series, in the first section of the Transform chapter only — its Fourier-transform and z-transform sections belong to B1.2 and may be skipped for A.1; the five distributions with expectation and variance; and roots, quadrature and the stepping of a differential equation. Two chapters are written for this paper alone, because no shared chapter teaches what they do: the transpose, determinant, adjoint and trace rules, Taylor series in one and two variables, improper integrals, the vector identities and the Jacobian of a two-link arm; and the exact and Bernoulli equations, Fourier coefficients with the solutions of the heat, wave and Laplace equations, the axioms of probability with the PDF and CDF, hypothesis testing, and the Jacobi and Gauss–Seidel iterations with finite differences. A.1 carries no mark weight of its own — the institute publishes 60 marks for Part A as a whole.