Bihar Board 12th Maths Syllabus 2024: Check Chapter-Wise Topics and Weightage

Result Date: 23 Mar '24
Sushmita Sundas
Sushmita Sundas

Updated on - Nov 24, 2023

The Bihar board 12th Maths syllabus 2024 carries six units and will be conducted for 100 marks. There will be no internal assessment for BSEB 12th Maths, and students must score at least 30 per cent to pass the exam. Furthermore, students must start their preparation as per the latest Bihar board 12th syllabus, which will allow them to prepare according to the paper's marking scheme and pattern.

The board will tentatively conduct the Bihar board 12th exam from February 2024 in pen and paper mode. Similarly, after completing the syllabus, students must refer to the BSEB 12th sample paper to strengthen their preparation skills.

Table of Contents

BSEB 12th Maths Syllabus 2024: Download PDF

Students must download the Bihar board 12th Maths syllabus 2024 to understand the topic-wise chapters and their sub-topics. Moreover, the Mathematics paper will be conducted for 3 hours in pen and paper mode. The 12th Maths syllabus Bihar board download PDF is provided below for the student's reference. 

Bihar Board 12th Maths Syllabus Download Now

Bihar Board 12th Maths Syllabus 2024: Unit-Wise Details

The BSEB 12th Maths syllabus 2024 is designed to equip students with various Math topics to complete their endeavours. The BSEB Maths is one of the most crucial subjects in students' lives as it will help them in their professional courses such as engineering in universities. The detailed unit-wise topics and sub-topics are mentioned below.

BSEB 12th Maths Syllabus 2024 Unit 1: Relations and Functions

The detailed unit 1 BSEB 12th Maths syllabus is tabulated below for the students reference. 

BSEB 12th Maths Unit 1 Relations and Functions
Chapters Topics
Relations and Functions Types of relations: reflexive, symmetric, transitive, and equivalence relations. One-to-one and functions
Inverse Trigonometric Functions Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions

BSEB 12th Maths Syllabus 2024 Unit 2: Algebra

The unit 1 Algebra BSEB 12th Maths syllabus is mentioned below in details. 

BSEB 12th Maths Unit 2 Algebra
Chapters Topics
Matrices
  1. Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix.
  2. symmetric and skew-symmetric matrices.
  3. Operations on matrices: Addition and multiplication and
  4. multiplication with a scalar.
  5. Simple properties of addition, multiplication, and scalar multiplication.
  6. Non-commutativity of multiplication of matrices and the existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).
  7. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
Determinants
  1. Determinants of a square matrix (up to 3 x 3 matrices), minors, co-factors, and applications of determinants in finding the area of a triangle.
  2. Adjoint and inverse of a square matrix.
  3. Consistency, inconsistency, and number of solutions of the system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

BSEB 12th Maths Syllabus 2024 Unit 3: Calculus

The Calculus chapter is tabulated below for the student's reference. 

BSEB 12th Maths Unit 3 Calculus
Chapters Topics
Continuity and Differentiability
  1. Continuity and differentiability, chain rule, Derivative of inverse trigonometric functions, like sin−1 ????, cos−1 ???? and tan−1 ????, derivative of implicit functions. Concept of exponential and logarithmic functions.
  2. Derivatives of logarithmic and exponential functions.
  3. Logarithmic differentiation, Derivative of functions expressed in parametric forms. Second-order derivatives
Application of Derivatives
  1. Applications of derivatives: rate of change of quantities, increasing/decreasing functions, maxima, and minima (first derivative test motivated geometrically and second derivative test given as a provable tool).
  2. Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations)
Integrals
  1. Integration as an inverse process of differentiation, integration of a variety of functions by substitution, by partial fractions, and by parts, evaluation of simple integrals of the following types and problems based on them.
  2. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
Applications of the Integrals Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
Differential Equations
  1. Definition, order, and degree, general and particular solutions of a differential equation.
  2. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree.
  3. Solutions of linear differential equation of the type

BSEB 12th Maths Syllabus 2024 Unit 4: Vectors and Three-Dimensional Geometry

The BSEB class 12th Maths syllabus 2024 unit 4 details is mentioned below for the student's reference. 

BSEB 12th Maths Unit 4 Vectors and Three-Dimensional Geometry
Chapters Topics
Vectors
  1. Vectors and scalars, magnitude and direction of a vector.
  2. Direction cosines and direction ratios of a vector.
  3. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point,
  4. negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio.
  5. Definition, Geometrical Interpretation, properties, and application of scalar (dot) product of vectors, vector (cross) product of vectors.
Three-Dimensional Geometry Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, the shortest distance between two lines. The angle between two lines

BSEB 12th Maths Syllabus 2024 Unit 5: Linear Programming

This unit covers only one chapter in the Bihar board 12th Maths syllabus which is tabulated below. 

BSEB 12th Maths Unit 5 Linear Programming
Chapters Topics
Linear Programming Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints)

BSEB 12th Maths Syllabus 2024 Unit 6: Probability

The unit also covers only one chapter in the BSEB 12th syllabus for 2024 which is tabulated below for the student's reference. 

BSEB 12th Maths Unit 6 Probability
Chapters  Topics
Probability

Probability - Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable

Bihar Board 12th Maths Syllabus 2024: Marking Scheme

Below is the BSEB 12th Maths syllabus 2024 marking scheme, which students must refer to while preparing for the upcoming board exams. However, students must also use the BSEB 12th previous year question papers to understand the paper pattern and its marks distribution.  

BSEB 12th Maths Syllabus Marking Scheme
Units  इकाई का नाम Weightage
Unit 1: Relations and Functions इकाई1: संबंध एवं फलन 10
Unit 2: Algebra इकाई 2: बीजगणित 13
Unit 3: Calculus इकाई 3: कलन शास्त्र 40
Unit 4: Vectors and 3 Dimensional Geometry इकाई 4: सदिश एवं त्रि विमीय-ज्योमिति 18
Unit 5: Linear Programming इकाई 5: रैखिक प्रोग्रामन 9
Unit 6: Probability इकाई 6: प्रायिकता 10
Total योग अंक 100

Read more: BSEB Class 12 Answer Key 2024 

BSEB 12th Maths Syllabus 2024: Textbooks

Students must use the BSEB 12th Maths textbook recommended by the school authorities to score higher grades. The BSEB textbook provides a clear explanation with detailed examples. Some of the prescribed BSEB 12th Maths textbooks are as follows. 

BSEB 12th Maths Textbooks 2024
Books Publications
Mathematics Part I - Textbook for Class XII NCERT Publication
Mathematics Part II - Textbook for Class XII NCERT Publication
Mathematics Exemplar Problem for Class XI Published by NCERT
Mathematics Exemplar Problem for Class XII Published by NCERT
Mathematics Lab Manual class XII Published by NCERT

Also Read: Bihar Board 12th Books 2024

How to Prepare the Class 12 Math Syllabus Bihar Board 2024?

The Maths subject is based on calculation and problem-solving, so understanding the concepts plays a significant role. Further, students can use the tips below to put themselves in the right mindset for their Bihar board 12th exam preparation.

BSEB 12th Maths Preparation Tips

Read more: Bihar Board 12th Scrutiny Online Form 2024

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