# CBSE Class 12 Maths Syllabus (Term 1 & 2) 2021-22

**CBSE class 12 Maths syllabus 2022** is available here to download in a pdf format. Due to the pandemic Covid-19, the central board of secondary education has reduced the CBSE Class 12 Maths syllabus for the upcoming exam 2022 by 30%. The students preparing for the upcoming Mathematics Board Exam must prepare only from the Revised CBSE class 12 Maths syllabus 2022, as it provides students with an overview of the chapters included and excluded for the upcoming Maths exam 2021-22.

Students must have a proper study plan therefore, VSI Jaipur provides CBSE class 12 Maths syllabus 2022 pdf download with all the updated information regarding the CBSE class 12 Maths Syllabus.

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**CBSE Class 12 Maths Syllabus Weightage 2022**

This year due to the pandemic, the Board has reduced the class 12 maths syllabus CBSE by 30%. The revised weightage of each unit from the CBSE class 12th maths syllabus is given below:

No. | Units | No. of Periods | Marks |
---|---|---|---|

I. | Relations and Functions | 17 | 08 |

II. | Algebra | 35 | 10 |

III. | Calculus | 57 | 35 |

IV. | Vectors and Three-Dimensional Geometry | 26 | 14 |

V. | Linear Programming | 13 | 05 |

VI. | Probability | 20 | 08 |

Total | 168 | 80 | |

Internal Assessment | 20 |

**Download CBSE Class 12 Maths Syllabus (2021-22) in a PDF Format**

Students preparing for the upcoming Mathematics exam 2022, must have knowledge of the revised class 12th maths syllabus CBSE. Students must know what chapters they have to study and what all topics or units are reduced from the CBSE class 12th maths syllabus for this academic year 2021-22.

From this article, students can download the Revised CBSE class 12 maths syllabus 2021-22 pdf, with all the Deleted topics from the syllabus.

**Students can even go through the detailed CBSE class 12 maths syllabus given below:**

**Unit-I: Relations and Functions**

*Relations and Functions*

- Types of relations: reflexive, symmetric, transitive, and equivalence relations. One to one and onto functions.
- Inverse Trigonometric Functions
- Definition, range, domain, principal value branch.

**Unit-II: Algebra**

*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

*Determinants*

The determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors, and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Solving a system of linear equations in two or three variables (having unique solutions) using the inverse of a matrix.

**Unit-III: Calculus**

*Continuity and Differentiability*

- Continuity and differentiability, a derivative of composite functions, chain rule, the 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.

**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).

**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.

**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

**Differential Equations**

Definition, order, and degree, general, and particular solutions of a differential equation. The 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 the linear differential equation of the type:

Solutions of the linear differential equation of the type:

(dy/dx) + py = q, where p and q are functions of x or constants.

**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, 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.

*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. The distance of a point from a plane.

**Unit-V: Linear Programming**

*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).

**Unit-VI: Probability**

*Probability*

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

**CBSE Class 12 Maths Syllabus (2021-22): Deleted Portions**

Units/Chapters | Deleted Topics from the Syllabus |
---|---|

Unit- I: Sets and Functions | |

1. Sets | Difference of sets. Complement of a set. Properties of Complement |

2.Relations & Functions | (up to RXRXR ). Sum, Difference, product, and quotients of functions |

3. Trigonometric Functions | General Solutions of trigonometric equations of the type siny=sina, cosy=cosa, and tany= tana. |

Unit II: Algebra | |

1. Principle of Mathematical Induction | Delete full chapter |

2. Complex Numbers and Quadratic Equations | Polar representation of complex numbers. The square root of a complex number. |

3. Linear Inequalities | Nil |

4. Permutations and Combinations | Derivation Of formulae for nPr nCr |

5. Binomial theorem | Delete full Chapter |

6. Sequence and Series | Formulae for the following special sums |

Unit III: Coordinate geometry | |

1. Straight Lines | Shifting of origin. Equation of family of lines passing through the point of intersection of two lines. |

2. Conic sections | a point, a straight line, and a pair of intersecting lines as a degenerate case of a conic section. |

3. Introduction to Three-dimensional Geometry | Nil |

Unit-IV: Calculus | |

1. Limits and Derivatives | Nil |

Unit-V: Mathematical Reasoning | |

1. Mathematical Reasoning | Delete full chapter |

Unit-VI: Statistics and Probability | |

1. Statistics | Analysis of frequency distributions with equal means but different variances. |

2. Probability | Axiomatic (set theoretic) probability, connections with other theories of earlier classes |

**How to Download CBSE Class 12 Maths Syllabus 2022**

Class 12 students can also download the CBSE class 12th maths syllabus from the official website as well as from this article. The steps to download the syllabus are given below.

**Steps to download from Official Website**

**Step 1 –** Visit the official website CBSE.nic.in.

**Step 2 –** On the top of the home page, you will see the option of ‘curriculum’. Click on the tab, it will redirect you to the syllabus page.

**Step 3 –** Now click on the option ‘Senior Secondary Curriculum (XI-XII)’

**Step 4 –** Select the ‘ Academic Electives – (Group-A)’ option. The list of subjects will now open on the screens.

**Step 5 – **Click on the subject names to download the syllabus for the respective subject.

**Step 6 – **Click on the download button and save the syllabus in pdf format.

**Steps to Download the Syllabus from this article**

**Step 1- **Open the PDF link.

**Step 2-** On the top right side, you will find an “arrow button”.

**Step 3-** By clicking the arrow button, your CBSE class 12 Maths syllabus will be downloaded on your device.

*Note: To avoid confusion and complexity, download the CBSE class 12 Maths syllabus 2021-22 from VSI Jaipur by following 2 very easy steps.*

**CBSE Class 12 Mathematics Grading Scheme**

As per the CBSE curriculum, the grades and marks of the class 12 exam are awarded to students on the basis of a 9-point grading system. Check out the Assessment scheme of CBSE class 12 upcoming Mathematics exam 2021-22 given below.

CBSE Class 12 Mathematics Grading Scheme | |
---|---|

A-1 | Top 1/8th of the passed candidates |

A-2 | Next 1/8th of the passed candidates |

B-1 | Next 1/8th of the passed candidates |

B-2 | Next 1/8th of the passed candidates |

C-1 | Next 1/8th of the passed candidates |

C-2 | Next 1/8th of the passed candidates |

D-1 | Next 1/8th of the passed candidates |

D-2 | Next 1/8th of the passed candidates |

E | Failed Candidates |

**CBSE Class 12 Maths Sample Paper**

After the completion of the CBSE Class 12th, Maths syllabus students need proper revision before appearing for the exam. Therefore, students must solve the CBSE class 12 Mathematics sample papers to assess their preparations for the upcoming exam. VSI provides the CBSE class 12 Maths sample papers with solutions for the proper revision for the exam 2022.

**CBSE Class 12 Maths Prescribed Books 2022**

The prescribed book for Mathematics is the NCERT Maths book. NCERT Class 12 Maths books have proper questions for practice for the upcoming exam after each chapter. By studying for the NCERT books students can clear the Maths exam with good marks.

**Prescribed Books:**

- Mathematics Part I – Textbook for Class XII, NCERT Publication
- Mathematics Part II – Textbook for Class XII, NCERT Publication
- Mathematics Exemplar Problem for Class XII, Published by NCERT
- Mathematics Lab Manual class XII, published by NCERT

**CBSE Class 12 Maths Exam 2022: Preparation Tips**

To get the best result in the upcoming CBSE class 12 Maths exam, students must follow the given tips below:

- First of all, students must prepare a strict study plan.
- Students must then have all the study material such as the NCERT book, sample papers, revised Maths syllabus, etc.
- Before starting the preparation, go through the CBSE class 12 maths syllabus 2021-22 pdf. Students must have a knowledge of what topics are included and deleted for this academic year 2021-22.
- As per the weightage of each unit students must devote their time to the particular topic.
- Try to learn all the important terminologies related to the subject.
- Revision is very critical for every student. So, to have a proper revision try to solve the Mathematics sample papers.

**Conclusion**

For better and advanced learning, students must Enroll Now with VSI Jaipur. VSI is renowned for outstanding results every year. VSI also guides students with various career options after class 12. For all the latest and updated information regarding Class 11 and class 12, Visit this page.

**Frequently Asked Questions**

**Q1. When can students download the CBSE class 12 Maths syllabus for the upcoming exam 2022?**

**Ans:** The Revised CBSE class 12 Maths syllabus 2022 is out. Students can download the revised CBSE class 12 maths syllabus from this page.

**Q2. Which topics are deleted from the CBSE class 12 Maths syllabus?**

**Ans:** The topics deleted from the CBSE class 12 maths syllabus are mentioned above on this page.

**Q3. Is NCERT enough for the preparation for the upcoming maths exam 2022?**

**Ans:** Yes, NCERT is enough for the preparation for the upcoming maths exam 2022. NCERT books have practice questions after each chapter for students to prepare well for the exam.