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UP Board Class 12 Mathematics syllabus 2026-27
The UP Board Class 12 Mathematics syllabus for 2026-27 has 6 units and 13 chapters. The units are Relations and Functions, Algebra, Calculus, Vectors and Three-dimensional Geometry, Linear Programming and Probability. This outline was checked against the official Madhyamik Shiksha Parishad, Uttar Pradesh document on 2 October 2026. Rate how clear each chapter feels and the planner suggests what to revise first.
Academic session 2026-27 / Official source checked / 2026-10-02
Relations and Functions
Relations and Functions
Reflexive, symmetric, transitive and equivalence relations; one-one and onto functions, Composition and invertibility of functions
Inverse Trigonometric Functions
Domain, range, principal branch and graphs, Properties of inverse trigonometric functions
Algebra
Matrices
Types, transpose, symmetric/skew-symmetric matrices and operations, Non-commutativity; invertible matrices and uniqueness of inverse
Determinants
Determinants up to order 3, minors, cofactors and triangle area, Adjoint, inverse and linear systems with unique solutions
Calculus
Continuity and Differentiability
Continuity, chain rule, implicit and inverse-trigonometric derivatives, Exponential/logarithmic derivatives, parametric forms and second derivatives
Applications of Derivatives
Rates, increasing/decreasing functions, maxima and minima
Integrals
Substitution, partial fractions, integration by parts and standard integral forms, Fundamental theorem without proof; definite integral properties
Application of the Integrals
Areas under lines, circles, parabolas and ellipses in standard form
Differential Equations
Order, degree, general and particular solutions, Variable separation, homogeneous and linear first-order equations
Vectors and Three-dimensional Geometry
Vectors
Types, components, direction cosines/ratios, position and section vectors, Scalar and vector products, properties and applications
Three-dimensional Geometry
Line equations, direction ratios/cosines, skew lines, shortest distance and angle
Linear Programming
Linear Programming
Constraints, objective function, feasible/infeasible regions and graphical optimisation in two variables
Probability
Probability
Conditional probability, multiplication rule, independent events, total probability and Bayes theorem
The full guide on one page
The main facts from the tool above, written out so you can read them in one go.
What is in the UP Board Class 12 Mathematics syllabus for 2026-27?
| Unit | Marks | Chapters |
|---|---|---|
| Relations and Functions | 10 | Relations and Functions; Inverse Trigonometric Functions |
| Algebra | 15 | Matrices; Determinants |
| Calculus | 44 | Continuity and Differentiability; Applications of Derivatives; Integrals; Application of the Integrals; Differential Equations |
| Vectors and Three-dimensional Geometry | 18 | Vectors; Three-dimensional Geometry |
| Linear Programming | 5 | Linear Programming |
| Probability | 8 | Probability |
Official source checked. Last checked .
Which careers and entrance exams use Mathematics?
Careers whose routes ask for this subject
- AI and machine learning engineer
Build and test computer systems that learn patterns from data, and check where they make mistakes.
- Architect
Design spaces around people, context and technical constraints.
- Civil engineer
Plan and check infrastructure such as buildings, roads and water systems.
- Data Analyst
Turn recorded data into a checked explanation for a decision.
- Electrical engineer
Plan, design, test and maintain systems that generate, distribute and use electricity, working within documented safety procedures.
- Electronics engineer
Design, build and test circuits, sensors and embedded devices that turn physical signals into useful information or control.
- Financial analyst
Use financial data, assumptions and models to help organisations understand costs, risks and options, without promising returns.
- Mechanical engineer
Design, test, make and maintain machines and mechanical systems, using physics, maths and careful evidence.
- Software Engineer
Turn a user’s need into reliable software, then test and maintain it.
- Statistician
Use data and mathematical reasoning to learn while describing uncertainty.
Entrance exams whose syllabus includes this subject
- BITSAT
Admission to specified first-degree programmes using a computer-based test.
- ICAR admission through CUET UG
Agricultural university admission through relevant CUET UG subject tests and ICAR counselling. This is not a separate AIEEA UG test.
- JEE Advanced
The entrance examination for undergraduate programmes at IITs. Architecture has an additional aptitude-test route.
- JEE Main
An entrance route for engineering, architecture and planning. Different papers serve different courses.
- JEECUP Group A
Group A entry to engineering and technology diplomas in Uttar Pradesh. Other JEECUP groups have different eligibility and papers.
- NDA and NA
A written examination followed by service selection and medical assessment for defence-academy entry.
- Uttarakhand JEEP, engineering
Engineering diploma admission through the JEEP E or T group. Pharmacy, lateral entry and merit-based groups have separate rules.
Where is the official UP Board Class 12 Mathematics syllabus?
- UPMSP Class 12 Mathematics syllabus 2026-27, Madhyamik Shiksha Parishad, Uttar Pradesh, accessed
Official sample and previous-year papers for this subject are in the Official papers step of the planner above.
Prepared by the Disha Stars team from the sources listed here. Check the latest official notice before you apply.