Engineering Mathematics-I (BAS103) AKTU exam strategy

Focus on Unit 2 (Differential Calculus-I) and Unit 4 (Multiple Integration). Together they account for about 63 marks among all questions printed per paper. Unit 3 (Differential Calculus-II) is safest to skim if you're short on time.

Unit priority

Unit 2 (Differential Calculus-I) – Must Prepare, 34 marks avg. Unit 2 (Differential Calculus-I) averages 34 marks per paper — one of the heaviest units in this subject. Successive Differentiation (nth-Order Derivatives) and Euler's Theorem for Homogeneous Functions have appeared in every paper analysed — these are must-dos. Must-do: Successive Differentiation (nth-Order Derivatives), Euler's Theorem for Homogeneous Functions, Curve Tracing, Rolle's, Lagrange's and Cauchy's Mean Value Theorems.
Unit 4 (Multiple Integration) – High Priority, 29 marks avg. Unit 4 (Multiple Integration) averages 29 marks per paper — one of the heaviest units in this subject. Must-do: Double Integrals, Change of Order of Integration, Change of Variables, Triple Integrals.
Unit 5 (Vector Calculus) – High Priority, 29 marks avg. Unit 5 (Vector Calculus) averages 29 marks per paper — one of the heaviest units in this subject. Gradient, Curl, Divergence and Their Physical Interpretations has appeared in every paper analysed — these are must-dos. Must-do: Gradient, Curl, Divergence and Their Physical Interpretations, Directional Derivatives, Gauss' Divergence Theorem (Without Proof) and Applications, Stokes' Theorem (Without Proof) and Applications.
Unit 1 (Matrices) – Medium Priority, 28 marks avg. Unit 1 (Matrices) averages 28 marks per paper — one of the heaviest units in this subject. Must-do: Eigenvalues and Eigenvectors, Rank of a Matrix, Solution of Systems of Linear Equations, Elementary Transformations.
Unit 3 (Differential Calculus-II) – Safe to Skim, 25 marks avg. Unit 3 (Differential Calculus-II) averages 25 marks per paper — one of the heaviest units in this subject. Lagrange's Method of Multipliers and Jacobians have appeared in every paper analysed — these are must-dos. Must-do: Jacobians, Lagrange's Method of Multipliers, Taylor's and Maclaurin's Expansions for Functions of One and Two Variables, Approximation of Errors.

Topics AKTU keeps repeating

Successive Differentiation (nth-Order Derivatives): Asked in 8 out of 8 papers. If you prepare only one topic from its unit, make it this one.
Euler's Theorem for Homogeneous Functions: Asked in 8 out of 8 papers. If you prepare only one topic from its unit, make it this one.

Short on time?

Among all units, Unit 3 (Differential Calculus-II) is the lowest priority at 25M avg. If you're running low on time, prioritize the top 3 units and give this one a quick read. But even here — Lagrange's Method of Multipliers, Jacobians, Taylor's and Maclaurin's Expansions for Functions of One and Two Variables are high-repeat topics. Cover these at minimum to stay safe.

How the paper is marked

Section A: 7 questions × 2 marks = 14 marks. Short definition/concept questions from all 5 units. Prepare 2–3 key definitions per unit — this section is the easiest 14 marks you can secure.
Section B: Attempt any 3 of 5 questions × 7 marks = 21 marks. Choose the 3 questions from units you've prepared most. Don't attempt all 5 — pick your strongest 3 and write them well.
Section C: 5 OR-pairs × 7 marks = 35 marks. One pair per unit — you must attempt all 5. This is where the exam is won or lost. Focus your deep preparation on the top 3 priority units.

Exam-day tips

Start with Section A to build momentum — budget 15–20 minutes max for all 7 questions.
In Section B, Unit 2 (Differential Calculus-I) questions have the highest repeat rate — always attempt that one first.
For Section C OR-pairs, read both options before choosing — sometimes the 'b' option is simpler despite appearing longer.
If you've prepared the VERY LIKELY topics, you can comfortably score 50+ marks without touching any new topic on exam day.
This strategy is built on 8 past papers — the patterns here are highly reliable.