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Mathematics-IV (BAS303) AKTU PYQ analysis – unit-wise weightage

We analysed 235 questions from 10 AKTU Mathematics-IV papers (2021–2026). Here is how marks are spread across units and which topics keep coming back.

Mathematics-IV unit-wise weightage

  • Unit 1: Partial Differential Equations – 29% of questions, about 28 marks per paper
  • Unit 2: Applications of PDE and Fourier Transform – 29% of questions, about 29 marks per paper
  • Unit 3: Statistical Techniques I – 27% of questions, about 28 marks per paper
  • Unit 4: Statistical Techniques II – 31% of questions, about 30 marks per paper
  • Unit 5: Statistical Techniques III – 29% of questions, about 29 marks per paper

Most repeated Mathematics-IV topics in AKTU PYQs

  • Heat and Wave Equations
  • Statistical Tests of Significance
  • Probability and Random Variables
  • Measures of Central Tendency
  • Higher Order Linear PDE

Unit 1 (Partial Differential Equations) – top topics

  • Higher Order Linear PDE – asked 17 times, last in 2026
  • Lagrange's Linear PDE Method – asked 13 times, last in 2026
  • Charpit's Non-Linear PDE Method – asked 10 times, last in 2026

Unit 2 (Applications of PDE and Fourier Transform) – top topics

  • Heat and Wave Equations – asked 37 times, last in 2026
  • Method of Separation of Variables – asked 5 times, last in 2025
  • Fourier Transform and Inverse – asked 4 times, last in 2026

Unit 3 (Statistical Techniques I) – top topics

  • Measures of Central Tendency – asked 18 times, last in 2026
  • Regression Analysis – asked 14 times, last in 2026
  • Curve Fitting Least Squares – asked 11 times, last in 2026

Unit 4 (Statistical Techniques II) – top topics

  • Probability and Random Variables – asked 20 times, last in 2026
  • Normal Distribution – asked 11 times, last in 2026
  • Binomial Distribution – asked 10 times, last in 2025

Unit 5 (Statistical Techniques III) – top topics

  • Statistical Tests of Significance – asked 22 times, last in 2026
  • Statistical Quality Control – asked 16 times, last in 2026
  • Sampling Theory and Hypothesis – asked 9 times, last in 2025