Mathematics — What This Subject Is About
To build the mathematical foundation every engineer needs — the algebra, calculus and matrices that later subjects (C programming logic, networks, data structures) all stand on.
Common Curriculum • 1st Semester • All 41 Engineering Branches • 1st Semester (First Year — Common Curriculum) • Session 2026–27
About this document: The first year of a BTEUP diploma runs on one common curriculum for 41 engineering branches, so this subject is the same whether you are in Computer Science, Mechanical, Civil or Electrical. The subject areas below are from the official 1st-year curriculum (folder2627, NEP-2020). Paper-wise codes, marks and L–P hours are not stated here because they are yet to be confirmed from the official 1st-year PDF — please confirm them with your own polytechnic.
What You Will Study
Algebra & Trigonometry
Algebraic expressions and equations; trigonometric ratios, identities and heights and distances.
The everyday maths of engineering: solving equations and working with angles and triangles.
Calculus
Limits, differentiation and its applications; integration and its applications; definite integrals.
How things change and accumulate — the maths behind rates, slopes, areas and volumes.
Matrices & Determinants
Types of matrices; operations on matrices; determinants; solving systems of linear equations.
Organising numbers in tables and solving several equations at once — the same idea behind computer graphics and data handling.
Differential Equations
First-order differential equations and their simple applications.
Equations that describe how things change over time — used everywhere from circuits to mechanics.
How This Helps You Later
If your maths is weak, building logic in C programming becomes difficult. Strong first-year maths makes 2nd-year subjects noticeably easier.
Complete Syllabus
The four areas in the "What You Will Study" section above — Algebra & Trigonometry, Calculus, Matrices & Determinants, Differential Equations — are the complete subject content as per the official 1st-year common curriculum (folder2627, NEP-2020), which is the same for all 41 engineering branches. Paper-wise codes, marks and L–P hours are not stated here because they are yet to be confirmed from the official 1st-year PDF — please confirm them with your own polytechnic.
Frequently Asked Questions
Is Mathematics the same for all branches?
Yes. The first year of a BTEUP diploma runs on one common curriculum for 41 engineering branches, so this subject is the same whether you are in Computer Science, Mechanical, Civil or Electrical.
How many marks is Mathematics worth?
The paper-wise marks for the first year have not been confirmed from the official 1st-year PDF yet, so they are not stated here. Please confirm them with your own polytechnic.
What does Mathematics cover?
Four areas: Algebra & Trigonometry, Calculus, Matrices & Determinants and Differential Equations.
How does Mathematics help later?
If your maths is weak, building logic in C programming becomes difficult. Strong first-year maths makes 2nd-year subjects noticeably easier.
How can I download the Mathematics syllabus PDF?
The PDF is free to download — use the download link in the Download section below. It is prepared by KAMALDNP Academy from the official BTEUP syllabus.
Related Syllabus Posts
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Download the Mathematics Syllabus PDF
Download the complete Mathematics syllabus PDF below — prepared by KAMALDNP Academy, with the full topic list, practicals and reference books.
Download the Mathematics Syllabus PDF
Source: BTEUP 1st Year common curriculum (folder2627), NEP-2020 aligned — subject areas verified; paper-wise details to be confirmed from the official 1st-year PDF. Topic lists follow the official syllabus; short explanations are the author's own plain-English summaries, not syllabus text. Please confirm with your own polytechnic for any local changes.