The GATE Grind

GATE Engineering Mathematics: Special topics: Fourier series, complex numbers, analytic functions and Cauchy-Riemann equations – Previous Year Questions

4 GATE previous year questions on Special topics: Fourier series, complex numbers, analytic functions and Cauchy-Riemann equations (Engineering Mathematics, Aerospace Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AE Q28 (1 mark, Numerical answer) – The counterclockwise contour integral z =1z3/(4z-i)\,dz is (round to three decimals)
  2. GATE 2022 AE Q13 (1 mark, Multiple choice) – For real x and i=-1, the real part of cos(ix) is
  3. GATE 2026 AE Q12 (1 mark, Multiple choice) – The Fourier series representation of a square wave is shown in the figure below. The fluctuations seen near x = 1 are named after which one of the…
  4. GATE 2025 AE Q16 (1 mark, Multiple choice) – If i = -1, (i+1)3i-1 = .