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Mathematics-IV (BAS303) AKTU syllabus – unit-wise topics

The complete Mathematics-IV syllabus for AKTU, unit by unit. Next to each topic you can see how often it has appeared in past papers, so you know where the marks are.

Unit 1: Partial Differential Equations

  • Origin of PDE – asked 6 times
  • Lagrange's Linear PDE Method – asked 13 times
  • Charpit's Non-Linear PDE Method – asked 10 times
  • Higher Order Linear PDE – asked 17 times

Unit 2: Applications of PDE and Fourier Transform

  • Method of Separation of Variables – asked 5 times
  • Heat and Wave Equations – asked 37 times
  • Fourier Transform and Inverse – asked 4 times

Unit 3: Statistical Techniques I

  • Measures of Central Tendency – asked 18 times
  • Curve Fitting Least Squares – asked 11 times
  • Correlation and Rank Correlation – asked 3 times
  • Regression Analysis – asked 14 times

Unit 4: Statistical Techniques II

  • Probability and Random Variables – asked 20 times
  • Binomial Distribution – asked 10 times
  • Poisson Distribution – asked 9 times
  • Normal Distribution – asked 11 times

Unit 5: Statistical Techniques III

  • Sampling Theory and Hypothesis – asked 9 times
  • Statistical Tests of Significance – asked 22 times
  • Statistical Quality Control – asked 16 times