Mathematics-IV (BAS303) important topics for AKTU – unit-wise
Topics are ranked by how many times AKTU asked them across 10 papers. Finish the "very likely" topics first, then the top topics of each unit.
High-probability Mathematics-IV topics
- Heat and Wave Equations (Unit 2: Applications of PDE and Fourier Transform) – asked 37 times in 2021, 2022, 2023, 2024, 2025, 2026
- Statistical Tests of Significance (Unit 5: Statistical Techniques III) – asked 22 times in 2021, 2022, 2023, 2024, 2025, 2026
- Probability and Random Variables (Unit 4: Statistical Techniques II) – asked 20 times in 2021, 2022, 2023, 2024, 2025, 2026
What to cover inside these topics
- One Dimensional Wave Equation (part of Heat and Wave Equations)
- One Dimensional Heat Equation (part of Heat and Wave Equations)
- Two Dimensional Laplace Equation (part of Heat and Wave Equations)
- t-Test (part of Statistical Tests of Significance)
- Chi-Square Test (part of Statistical Tests of Significance)
- Z-Test (part of Statistical Tests of Significance)
- Expectation and Variance (part of Probability and Random Variables)
- PMF and PDF (part of Probability and Random Variables)
Most asked Mathematics-IV topics in each unit
- Unit 1 (Partial Differential Equations): Higher Order Linear PDE – 17 times; Lagrange's Linear PDE Method – 13 times; Charpit's Non-Linear PDE Method – 10 times
- Unit 2 (Applications of PDE and Fourier Transform): Heat and Wave Equations – 37 times; Method of Separation of Variables – 5 times; Fourier Transform and Inverse – 4 times
- Unit 3 (Statistical Techniques I): Measures of Central Tendency – 18 times; Regression Analysis – 14 times; Curve Fitting Least Squares – 11 times
- Unit 4 (Statistical Techniques II): Probability and Random Variables – 20 times; Normal Distribution – 11 times; Binomial Distribution – 10 times
- Unit 5 (Statistical Techniques III): Statistical Tests of Significance – 22 times; Statistical Quality Control – 16 times; Sampling Theory and Hypothesis – 9 times