Mathematics is an important subject for class 12 students. Even though it is an optional subject, those who have selected it should give extra time to it. The **CBSE Class 12 Maths Syllabus** is very vast and covers topics in detail. It also helps in further studies of professional courses such as Chartered Accountancy and others.

CBSE has released the new syllabus for class 12 for the 2021-22 session. You must refer to the revised syllabus before starting your exam preparation. CBSE has deleted 30% of the topics from the syllabus.

You can download the Revised CBSE **Class 12 Maths Syllabus 2021-22 PDF** files, marking scheme, and list of deleted topics. The links are available below.

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**Marking Structure of CBSE Class 12 Maths Syllabus**

We have shared the marking scheme shared by CBSE for the Class 12th Syllabus of Mathematics. Following this marking scheme will help you in exam preparation. You can determine which chapters are important from the exam point of view.

Unit | Title | Marks |

I | Relations and Functions | 8 |

II | Algebra | 10 |

III | Calculus | 35 |

IV | Vectors and Three- Dimensional Geometry | 14 |

V | Linear Programming | 5 |

VI | Probability | 8 |

Internal Assessment | 20 | |

TOTAL MARKS | 100 |

Internal Assessment | Marks |

Periodic Tests (Best 2 out of 3 tests conducted) | 10 |

Mathematics Activities | 10 |

Total | 20 |

See the complete activities lists for Maths internal assessments on our detailed Practical Guide for CBSE Students.

**CBSE Class 12 Maths Syllabus 2021-22**

### Unit I: Relations and Functions

#### 1- Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

Deleted Topics: composite functions, inverse of a function.

#### 2- Inverse Trigonometric Functions

Definition, range, domain, principal value branch.

Deleted Topics: Graphs of inverse trigonometric functions, Elementary properties of inverse trigonometric functions

### Unit II: Algebra

#### 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; (Here all matrices will have real entries).

Deleted Topics: existence of non-zero matrices whose product is the zero matrix. Concept of elementary row and column operations. Proof of the uniqueness of inverse, if it exists.

#### 2- Determinants

Determinant 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. solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Deleted Topics: Properties of determinants. Consistency, inconsistency and number of solutions of system of linear equations by examples.

### Unit III: Calculus

#### 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.

Deleted Topics: Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation.

#### 2- Applications of Derivatives

Applications of derivatives: increasing/decreasing functions, tangents and normals, 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).

Deleted Topics: rate of change of bodies, use of derivatives in approximation

#### 3- Integrals

Integration as 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.

Deleted Topics: ∫ √𝑎x2 + 𝑏𝑥 + 𝑐 dx, ∫(𝑎𝑥 + 𝑏)√𝑎𝑥2 + 𝑏𝑥 + 𝑐 dx

Definite integrals as a limit of a sum

#### 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).

Deleted Topics: Area between any of the two above said curves

#### 5- 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 of the type: dy/dx = 𝑓(y/x). Solutions of linear differential equation of the type:

Deleted Topics: formation of differential equation whose general solution is given. Solutions of linear differential equation of the type:

### Unit IV: 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, 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.

Deleted Topics: scalar triple 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, shortest distance between two lines. Cartesian and vector equation of a plane. Distance of a point from a plane.

Deleted Topics: Angle between (i) two lines, (ii) two planes, (iii) a line and a plane

### Unit V: 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).

Deleted Topics: mathematical formulation of L.P. problems (unbounded)

### Unit III: Probability

#### 1- Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution.

Deleted Topics: mean and variance of a random variable. Binomial probability distribution.

**Prescribed Books **

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

**Download CBSE Class 12 Maths Syllabus PDF 2021-22**

The CBSE Class 12 Maths Syllabus 2021-22 PDF is available for download on CA Wizard. CBSE has officially published the CBSE class 12 syllabus of Mathematics. You can click on the links available below to download the PDFs instead of going to the official website.

**Download Latest CBSE Class 12 Maths Syllabus PDF 2021-22**

**Download Deleted Topics List of CBSE Class 12 Maths Syllabus PDF 2021-22**

**Preparation Tips**

Studying for the Maths exams without a proper action plan won’t take you anywhere. If you want to get good results in class 12 maths paper, you must follow a proper schedule.

Divide your CBSE Class 12 Maths Syllabus into small sections. Refer to the marking scheme given above to know which topics are more important. Set a timeline and then start preparing. Remember that you should only use NCERT books before moving to other reference books. Most of the Maths paper of CBSE is from the NCERT books only.

After completing the syllabus, use the sample papers given by CBSE. Simultaneously continue your revisions.

**FAQs- CBSE Class 12 Maths Syllabus**

**1. What is the CBSE Class 12 Syllabus of Mathematics subject for 2021-22 exams?**

Ans:- The complete CBSE Class 12th Maths Syllabus is given above.

**2. How much syllabus is reduced from the Maths syllabus of class 12 CBSE for the 2021-22 session?**

Ans:- 30% of the topics are removed from the CBSE class 12 Maths syllabus.

**4. What topics are removed from the class 12 Maths syllabus of CBSE?**

Ans:- CBSE has removed some topics from all the chapters and units. You can see and download the complete list of deleted topics of CBSE Class 12th Maths Syllabus from above.

- Is the CBSE class 12 maths syllabus tough?
- The class 12 maths syllabus of CBSE is difficult so that students who want to pursue Maths in higher studies can be better prepared with the 12th syllabus. But the exam papers are designed at a moderate difficulty level for the average students.
- Are NCERT books and CBSE sample papers enough for class 12 maths board exam preparation?
- Yes. The NCERT books and CBSE sample papers are enough for average students, and completing them should be the priority for all students. Those who want to score high marks can use other reference books as well.
- Is the class 12th Mathematics syllabus useful in higher studies?
- Yes. Maths is a part of many competitive exams and streams like Chartered Accountancy, Company Secretary, etc. The 12th syllabus will help you in the entrance exams as you will already have a basic knowledge of the topics.