Engineering Mathematics-II (BAS203) important questions and topics for AKTU
These are ranked by how often AKTU repeats them across 5 papers. Repeated questions and "very likely" topics are the safest marks in the exam.
Most repeated Engineering Mathematics-II questions
- Test the convergence of the following series: ∑ [1·3·5…(2n−1) / 2·4·6…(2n)] x^(2n), n=1 to ∞ (7 marks, 2025, Tests for Convergence) – also asked in 2019, 2022, 2023, 2024
- Use contour integral to evaluate: ∫₀^(2π) cos 2θ / (5 + 4cosθ) dθ (7 marks, 2025, Residues and Residue Theorem) – also asked in 2019, 2022, 2023, 2024
- Solve the following set of simultaneous linear differential equations: dx/dt = 3x + 8y; dy/dt = −x − 3y (7 marks, 2025, Linear ODE Constant Coefficients) – also asked in 2019, 2022, 2023, 2024
- Find half range Fourier sine series of f(x) = x(π − x) in (0, π). (7 marks, 2024, Fourier Series) – also asked in 2019, 2022, 2023, 2025
- Expand f(z) = (z² − 1) / [(z + 2)(z + 3)] in Laurent's series valid for |z| > 3. (7 marks, 2024, Taylor and Laurent Series) – also asked in 2019, 2022, 2023, 2025
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