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Engineering Mathematics-I (BAS103) AKTU PYQ analysis – unit-wise weightage

We analysed 187 questions from 8 AKTU Engineering Mathematics-I papers (2019–2026). Here is how marks are spread across units and which topics keep coming back.

Engineering Mathematics-I unit-wise weightage

  • Unit 1: Matrices – 28% of questions, about 28 marks per paper
  • Unit 2: Differential Calculus-I – 34% of questions, about 34 marks per paper
  • Unit 3: Differential Calculus-II – 25% of questions, about 25 marks per paper
  • Unit 4: Multiple Integration – 29% of questions, about 29 marks per paper
  • Unit 5: Vector Calculus – 29% of questions, about 29 marks per paper

Most repeated Engineering Mathematics-I topics in AKTU PYQs

  • Gradient, Curl, Divergence and Their Physical Interpretations
  • Successive Differentiation (nth-Order Derivatives)
  • Jacobians
  • Eigenvalues and Eigenvectors
  • Euler's Theorem for Homogeneous Functions

Unit 1 (Matrices) – top topics

  • Eigenvalues and Eigenvectors – asked 11 times, last in 2026
  • Rank of a Matrix – asked 7 times, last in 2026
  • Solution of Systems of Linear Equations – asked 7 times, last in 2026

Unit 2 (Differential Calculus-I) – top topics

  • Successive Differentiation (nth-Order Derivatives) – asked 12 times, last in 2026
  • Euler's Theorem for Homogeneous Functions – asked 10 times, last in 2026
  • Rolle's, Lagrange's and Cauchy's Mean Value Theorems – asked 7 times, last in 2022

Unit 3 (Differential Calculus-II) – top topics

  • Jacobians – asked 12 times, last in 2026
  • Lagrange's Method of Multipliers – asked 8 times, last in 2026
  • Taylor's and Maclaurin's Expansions for Functions of One and Two Variables – asked 5 times, last in 2026

Unit 4 (Multiple Integration) – top topics

  • Double Integrals – asked 10 times, last in 2025
  • Triple Integrals – asked 7 times, last in 2024
  • Change of Order of Integration – asked 7 times, last in 2026

Unit 5 (Vector Calculus) – top topics

  • Gradient, Curl, Divergence and Their Physical Interpretations – asked 15 times, last in 2026
  • Directional Derivatives – asked 6 times, last in 2026
  • Gauss' Divergence Theorem (Without Proof) and Applications – asked 6 times, last in 2026