CBSE Class 12 Syllabus for Maths 2021-22: The Central Board of Secondary Education (CBSE) has published the Class 12 Maths syllabus for the academic year 2021-22. Students can download the updated CBSE Class 12 Maths syllabus PDF for Class 12 on this page. CBSE has divided the latest CBSE Class 12 Maths syllabus for 2021-22 into term I and term II.
The written exam (theory) carries 80 marks and the practical exam has the remaining 20 marks. Here, you can download the complete as well as chapter-wise Class 12 Maths Syllabus PDF. A thorough understanding of the Maths syllabus will help candidates in their preparation for board exams and for national-level engineering exams such as JEE Main and JEE Advanced, which follow a syllabus similar to CBSE Class 11 and Class 12.
Latest Update:
👉 October 18: The Central Board of Secondary Education (CBSE) have released the CBSE 10th and 12th Date Sheet for Main subjects.
👉 October 21: CBSE has released the 10th and 12th Date Sheet for Minor subjects.
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Table of Contents
CBSE Class 12 Syllabus For Maths 2021-22: Marking Scheme
The CBSE Class 12 Maths Term 1 exam will be conducted for 40 marks. Internal Assessment carries the remaining 10 marks. Let us now look into the different units, chapters, and marks distribution of the CBSE syllabus for Class 12 Maths 2021-2022 for the Term 1 exam:
The CBSE Class 12 Maths Term 2 exam will be conducted for 40 marks. Internal Assessment carries the remaining 10 marks. Let us now look into the different units, chapters, and marks distribution of the CBSE syllabus for Class 12 Maths 2021-2022 for the Term 2 exam:
Let us now look at the detailed syllabus for Class 12 Maths 2021/Maths Class 12 syllabus chapter wise :
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CBSE Class 12 Syllabus for Maths (Term-wise)
Here we have provided the term-wise syllabus for CBSE Class 12 Maths in PDF format. Download the PDF and access it offline.
| Class 12 Syllabus Term 1 Mathematics | Download Here |
CBSE Class 12 Syllabus For Maths Unit 1: Relations and Functions
1. Relations and Functions
Types of relations: reflexive, symmetric, transitive, and equivalence relations. One to one and onto functions.
2. Inverse Trigonometric Functions
Definition, range, domain, principal value branch.
CBSE Class 12 Syllabus For Maths Unit 2: Class 12 Maths Algebra Chapters
1. Matrices
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices Invertible matrices
2. Determinants
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
CBSE Class 12 Syllabus For Maths Unit 3: Calculus Class 12
1. Continuity and Differentiability
Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit 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.
2. Applications of Derivatives
Applications of derivatives: increasing/decreasing functions, tangents and normals, use of derivatives in approximation, 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).
3. Integrals
Integration is 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.
4. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, parabolas; area of circles /ellipses (in standard form only) (the region should be clearly identifiable
5. Differential Equations
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree of the type: dy/dx = 𝑓(y/x). Solutions of linear differential equation of the type:
Solutions of linear differential equation of the type:
(dy/dx) + py = q, where p and q are functions of x or constants.
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CBSE Class 12 Syllabus For Maths Unit 4: Vectors And Three-Dimensional Geometry
1. 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, the 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.
2. Three-Dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. Distance of a point from a plane.
CBSE Class 12 Syllabus For Maths Unit 5: Linear Programming
1. Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems. graphical method of solution for problems in two variables, feasible and infeasible regions (bounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
CBSE Class 12 Syllabus For Maths Unit 6: Probability
1. Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution.
Prescribed Textbooks
1) Mathematics Textbook for Class XI, NCERT Publications
2) Mathematics Part I – Textbook for Class XII, NCERT Publication
3) Mathematics Part II – Textbook for Class XII, NCERT Publication
4) Mathematics Exemplar Problem for Class XI, Published by NCERT
5) Mathematics Exemplar Problem for Class XII, Published by NCERT
6) Mathematics Lab Manual class XI, published by NCERT
7) Mathematics Lab Manual class XII, published by NCERT
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FAQs Related To CBSE Class 12 Maths Syllabus
We present to you some of the frequently asked questions (FAQs) related to the Class 12 Maths Syllabus:
Q: Is Class 12 Maths tough?
A: Some students consider Class 12 Maths as one of the toughest subjects. However, it is not true. It depends on your level of preparation and how much you practice.
Q: Is there any change in CBSE 12th Syllabus 2021-22?
A: Yes, due to the spread of Coronavirus, the Central Board of Secondary Education has reduced the class 12 Maths Syllabus for session 2021-22 by up to 30% to manage the time lost.
Q: Is NCERT enough for 12th Maths 2021?
A: Yes, NCERT books are more than enough for 12th Maths 2021-22. If you are preparing for some competitive exams such as JEE, you should also refer to other textbooks for a deeper understanding of topics.
Q: How many chapters are there in Mathematics Class 12?
A: There are 13 chapters in the Class 12 Maths book.
Q: Where can I download the CBSE Syllabus for Class 12 Maths?
A: From the below-given link download the official class 12 Maths Syllabus PDF.
Embibe provides CBSE Class 12 Study Material that covers the whole CBSE Class 12 syllabus for Maths. You can also solve CBSE Class 12 practice questions for every chapter in the CBSE Class 12 syllabus for Maths that will help you in your preparation for JEE as well.
We hope this detailed article on the syllabus of Maths Class 12 CBSE 2021-22/CBSE Class 12 syllabus for Maths helps in your preparation. For any queries regarding CBSE Class 12 syllabus for Maths, feel free to contact us. Drop a comment below and we will get back to you at the earliest.
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