About the UP Board Class 12 Mathematics Syllabus

Mathematics is one of the most crucial subjects in UP Board Class 12, especially for students in the Science and Commerce streams. It develops logical reasoning, problem-solving ability, and analytical skills that are essential for higher studies and competitive exams like JEE, NDA, and various state-level tests.

Syllabus Overview

The Mathematics syllabus is divided into the following units:

Relations and Functions: Types of relations, domain, range, and composition of functions.
Algebra: Matrices, determinants, and their applications.
Calculus: Limits, continuity, differentiation, application of derivatives, integration, and differential equations.
Vectors & 3D Geometry: Vector algebra, scalar products, and 3D geometry concepts such as planes and lines.
Linear Programming: Problems based on optimization using inequalities.
Probability & Statistics: Conditional probability, distribution, mean, variance, and standard deviation.

Marking Scheme

The Class 12 Mathematics paper is of 100 marks:

Relations, Functions, Algebra – 20 marks
Calculus – 40 marks
Vectors & 3D Geometry – 20 marks
Probability & Statistics – 15 marks
Linear Programming – 5 marks

Importance of Mathematics

Maths is not only important for scoring high in board exams but also lays the foundation for engineering, commerce, data science, and research fields. It sharpens logical reasoning and quantitative aptitude.