Bihar Board Class 12 Math Syllabus 2024-25 will be released soon on the official website. Students can get the detailed syllabus and marking scheme here to start their preparation for the class 12 board exams.
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Bihar Board Class 12 Math Syllabus 2024-25: Bihar School Examination Board will provide the Class 12 Math Syllabus 2024-25 on the official website. The students will have to study six units. Each of the units will be provided with the marks. Students can check the marks and prepare the units accordingly. The Class 12 Mathematics exam will be conducted for 100 marks and there will be no internal assessment. Students will have to score a minimum of 30% marks to pass the exam. It is one of the most important subjects so students should not leave any topic. The exam for Mathematics will be conducted for 3 hours.
After completing the syllabus, students should go through the Bihar Board Class 12 Previous Year Question Papers. By solving the questions, students will get a good idea of the types of questions asked in the board exam.
Also Check: Bihar Board 12th Exam Date 2024
BSEB Class 12 Math Syllabus 2023-24
Check out the syllabus in the table below to prepare for the board exams. All the units are mentioned in the table below for students to check the syllabus in detail. Study all the units and solve questions from each of them to get the highest marks in the subject.
Unit | Unit Name |
|---|---|
Unit 1 | Relations and Functions |
Unit 2 | Algebra |
Unit 3 | Calculus |
Unit 4 | Vectors and 3-Dimensional Geometry |
Unit 5 | Linear Programming |
Unit 6 | Probability |
BSEB Class 12 Math Marking Scheme 2023-24
After going through the BSEB Class 12th Maths syllabus, students can check the marking scheme too. The table below shows the marks weightage for all units in the subject. Students can check the units that have the highest marks. Accordingly, they can prepare the syllabus and aim to score high marks.
Unit | Marks |
|---|---|
Unit 1 | 10 |
Unit 2 | 13 |
Unit 3 | 40 |
Unit 4 | 18 |
Unit 5 | 09 |
Unit 6 | 10 |
Bihar Board Class 12 Maths Syllabus 2023-24: Chapter-Wise Topics
Students can check the detailed syllabus given below for BSEB class 12th Maths subject. Go through the chapters in all units and prepare for the board exams.
Unit I: Relations and Functions
- Relations and Functions - Types of relations: reflexive, symmetric, transitive, and equivalence relations. One-to-one and functions.
- Inverse Trigonometric Functions - Definition, domain, range, principal value branch. Graphs of inverse trigonometric functions
Unit II: Algebra
- Matrices -
- Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix.
- Symmetric and skew-symmetric matrices.
- Operations on matrices: Addition and multiplication
- Multiplication with a scalar.
- Simple properties of addition, multiplication, and scalar multiplication.
- Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
- 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).
- Determinants
- 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.
- Adjoint and inverse of a square matrix.
- 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.
Unit III: Calculus
- Continuity and Differentiability
- Continuity and differentiability, chain rule, Derivative of inverse trigonometric functions. Concept of exponential and logarithmic functions.
- Derivatives of logarithmic and exponential functions.
- Logarithmic differentiation, Derivative of functions expressed in parametric forms. Second-order derivatives.
- Applications of Derivatives
- 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).
- Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
- Integrals
- 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.
- 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
- Definition, order, and degree, general and particular solutions of a differential equation.
- Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree.
- Solutions of linear differential equation of the type.
Unit IV: Vectors and Three-Dimensional Geometry
- Vectors
- Vectors and scalars, magnitude and direction of a vector.
- Direction cosines and direction ratios of a vector.
- Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point,
- 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.
- Definition, Geometrical Interpretation, properties, and application of scalar (dot) product of vectors, vector (cross) product of vectors.
Unit V: Linear Programming
- 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).
Unit VI: Probability
- Probability - Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.
How to Download BSEB 12th Maths Syllabus 2023-24?
Following the simple steps, students can download the BSEB Class 12th Maths Syllabus 2024:
- Visit the official website biharboardonline.bihar.gov.in.
- Under the latest updates, click on the ‘BSEB 12th Syllabus 2023-24’ link.
- Click on the subject-wise syllabus links for Bihar Board Class 12.
- Find the link for Bihar Board Class 12 Maths Syllabus and download the PDF.
BSEB 12th Maths Syllabus 2024: Textbooks
Following is the list of books that can help students to prepare for the BSEB 12th Math syllabus. These books are recommended by the school authorities to score good marks. Students can go through them to get a clear understanding of the topics explained in a simple language.
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 |
How to Prepare BSEB 12th Math Syllabus 2024-25?
When trying to score good marks in BSEB Class 12 Math, students should get a clear understanding of the syllabus. It is necessary for them to plan out the syllabus and complete it in advance. Following are some of the effective preparation tips for students to prepare the subject.
In-depth Knowledge - The Maths subject includes syllabus that cannot be learnt. It needs good memorization of formulae and better understanding of the core concepts. This is better possible with the help of visual aids and real-life examples. In this manner, the subject becomes more relatable.
Grasp the Logic - Students should not only aim at getting the right answer but following the correct steps too. It is necessary for them to understand the logical flow, which is essential for problem-solving.
Application in Real-life: To learn the concepts of Mathematics, students can focus on its application in our daily lives. Instead of just focusing on the subjects theoretically, students can also learn the real-life applications, which makes the subject more interesting.
Possess a Positive Midset - To perform your best, it is important for students to maintain a positive mindset. Students should face the challenges with a logical and positive attitude. This makes it easier for students to answer difficult questions.
Divide the Syllabus - When preparing for the board exams, students should divide the syllabus into smaller units. This will make it easier for students to complete the syllabus quickly. Students can divide the time according to the topics. This will help them to spend the required time on each of the chapters.
Focus on Weightage - It is important for students to prepare the chapters according to the marks. They should focus more on the topics that carry high weightage.
Also Check: Bihar 12th Preparation Tips 2025
BSEB 12th Maths syllabus 2024 for helps students to prepare for the board examinations. Besides preparing for the theory exams, students will also have to appear for the practical exams.
