Engineering Mathematics-I (BAS103) important topics for AKTU – unit-wise
Topics are ranked by how many times AKTU asked them across 8 papers. Finish the "very likely" topics first, then the top topics of each unit.
High-probability Engineering Mathematics-I topics
- Gradient, Curl, Divergence and Their Physical Interpretations (Unit 5: Vector Calculus) – asked 15 times in 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
- Successive Differentiation (nth-Order Derivatives) (Unit 2: Differential Calculus-I) – asked 12 times in 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
- Jacobians (Unit 3: Differential Calculus-II) – asked 12 times in 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
Most asked Engineering Mathematics-I topics in each unit
- Unit 1 (Matrices): Eigenvalues and Eigenvectors – 11 times; Rank of a Matrix – 7 times; Solution of Systems of Linear Equations – 7 times
- Unit 2 (Differential Calculus-I): Successive Differentiation (nth-Order Derivatives) – 12 times; Euler's Theorem for Homogeneous Functions – 10 times; Rolle's, Lagrange's and Cauchy's Mean Value Theorems – 7 times
- Unit 3 (Differential Calculus-II): Jacobians – 12 times; Lagrange's Method of Multipliers – 8 times; Taylor's and Maclaurin's Expansions for Functions of One and Two Variables – 5 times
- Unit 4 (Multiple Integration): Double Integrals – 10 times; Triple Integrals – 7 times; Change of Order of Integration – 7 times
- Unit 5 (Vector Calculus): Gradient, Curl, Divergence and Their Physical Interpretations – 15 times; Directional Derivatives – 6 times; Gauss' Divergence Theorem (Without Proof) and Applications – 6 times