AKTU Engineering Mathematics 1 BAS103 December 2025 Question Paper PDF

Preparing for your AKTU Bachelor of Technology first year mathematics exam requires the right resources. Analyzing the AKTU Engineering Mathematics 1 BAS103 December 2025 question paper is the most direct way to understand the current difficulty level and marking trends. Practicing with this specific odd semester paper helps you align your preparation with the exact expectations of the university examiners.

Breakdown of the BAS103 Syllabus

The syllabus for engineering mathematics 1 contains five distinct units. Scoring well requires balancing your preparation across all five sections.

Matrices: This unit guarantees easy marks if your calculation is accurate. Focus on finding the rank of a matrix by reducing it to normal form. You will reliably find questions testing the Cayley Hamilton theorem and finding eigenvalues and eigenvectors.

Differential Calculus I: This section requires heavy calculation. Master the Leibnitz theorem to find the nth derivative of a product. Practice partial differentiation and Euler theorem applications. Curve tracing often appears as a long seven mark question.

Differential Calculus II: You must master the Jacobian and its properties. Expect questions demanding the expansion of functions using Taylor and Maclaurin series. Practice finding the maxima and minima of functions of two variables using the Lagrange method of undetermined multipliers.

Multiple Integration: This unit focuses on double and triple integrals. Practice changing the order of integration and calculating areas and volumes. Be completely thorough with the relation between Beta and Gamma functions.

Vector Calculus: This high scoring unit features gradient, divergence, and curl. The application of Green, Gauss divergence, and Stokes theorems forms a compulsory long question in the final section.

AKTU December 2025 Exam Pattern

The odd semester theory examination for BAS103 gives you three hours to score out of 70 total marks. The question paper layout is divided into three key sections.

Section A contains 7 mandatory short questions carrying 2 marks each. This section mainly checks your grasp of basic definitions, conditions, and direct formulas.

Section B features 5 descriptive long questions worth 7 marks each. You need to attempt any 3 of them.

Section C contains 5 unit specific questions carrying 7 marks each. Each question corresponds to one unit of the syllabus and provides an internal choice between two parts.

Proven Strategy to Clear the Paper

To optimize your preparation for the December 2025 paper, start by making a dedicated formula sheet. Mathematics 1 involves heavy matrix operations and calculus steps, meaning a single sign error can disrupt your entire solution. Memorizing standard derivatives and vector identities saves valuable time.

When sitting for the exam, remember that AKTU follows a strict step marking policy. Even if you suspect your final numerical answer might be incorrect, do not scratch out your entire work. Ensure your steps are legible, show your matrix operations clearly, and draw a box around your final solutions. Practice solving the December 2025 question paper under a simulated three hour clock to manage your speed effectively.

Download the December 2025 Question Paper PDF

You can view and download the complete AKTU Engineering Mathematics 1 December 2025 question paper PDF along with detailed solutions right here. Working through the PDF offline gives you an uninterrupted environment to test your skills. Match your answers with our step by step solution manual to identify areas where you need more practice before the final exams.