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Engineering Mathematics-II (BAS203) important topics for AKTU – unit-wise

Topics are ranked by how many times AKTU asked them across 5 papers. Finish the "very likely" topics first, then the top topics of each unit.

High-probability Engineering Mathematics-II topics

  • Analytic Functions (Unit 4: Complex Variable – Differentiation) – asked 15 times in 2019, 2022, 2023, 2024, 2025
  • Linear ODE Constant Coefficients (Unit 1: Ordinary Differential Equation of Higher Order) – asked 14 times in 2019, 2022, 2023, 2024, 2025
  • Fourier Series (Unit 3: Sequence and Series) – asked 10 times in 2019, 2022, 2023, 2024, 2025

What to cover inside these topics

  • Cauchy-Riemann Equations (part of Analytic Functions)
  • Milne's Thompson Method (part of Analytic Functions)
  • Harmonic Functions (part of Analytic Functions)
  • Complementary Function and PI (part of Linear ODE Constant Coefficients)
  • Simultaneous Linear ODE (part of Linear ODE Constant Coefficients)
  • Half Range Fourier Series (part of Fourier Series)

Most asked Engineering Mathematics-II topics in each unit

  • Unit 1 (Ordinary Differential Equation of Higher Order): Linear ODE Constant Coefficients – 14 times; Variable Coefficient ODE – 6 times; Cauchy-Euler Equation – 3 times
  • Unit 2 (Laplace Transform): Laplace Transform Fundamentals – 6 times; Inverse Laplace Transform – 5 times; Applications of Laplace Transform – 3 times
  • Unit 3 (Sequence and Series): Fourier Series – 10 times; Tests for Convergence – 8 times; Sequence and Series Basics – 4 times
  • Unit 4 (Complex Variable – Differentiation): Analytic Functions – 15 times; Conformal Mapping – 7 times; Complex Variable Functions
  • Unit 5 (Complex Variable – Integration): Complex Integration – 9 times; Taylor and Laurent Series – 8 times; Residues and Residue Theorem – 7 times