 # CBSE Class 12 Maths Syllabus 2020-2021

Knowing the CBSE Syllabus for Class 12 Maths plays a crucial role in students exam preparation. It make them familiar with the course content of Mathematics subject. Also, students get to know the topics, sub-topics which they are going to study during the academic year of 2020-21. The board exam question paper is also designed by referring to the CBSE Class 12 Maths Syllabus. So, students are strictly recommended to follow the Mathematics syllabus for class 12 and prepare accordingly. By covering the topics mentioned in the syllabus, students can easily score decent marks.

Students can directly access the CBSE Maths Syllabus for Class 12 academic years by clicking on the links below.

Students can download CBSE Class 12 Maths Syllabus 2020-2021 from the pdf provided below. They must refer it whenever they sit for studies. This CBSE Syllabus pdf will help students tracking a record of what all topics they have covered till now what they have to cover.

## CBSE Class 12 Maths Deleted Syllabus Portion PDF

Students can also download the deleted portion of CBSE Class 12 Maths Syllabus 2020-21 in pdf format from the link mentioned above.

## CBSE Class 12 Maths Syllabus 2020-21 with Marks Distribution

The table below shows the marks weightage of each unit along with the number of periods required for teaching. The Maths theory paper is of 80 marks and internal assessment is of 20 marks which totally come out to be of 100 marks.

 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

### Unit-I: 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.

### 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).

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.

### 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.

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).

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 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 method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation.

### 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.

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.

### 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).

### Unit-VI: Probability

1. Probability

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

Students can go through the CBSE Class 12 Syllabus to get the detailed syllabus of all subjects.

### CBSE Class 12 Maths Question Paper Design

In the table below, students can find the break up of different types of questions. This helps students to get a clear picture of CBSE class 12 Mathematics exam pattern.

 Typology of Questions Total Marks % Weightage Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas 44 55 Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way. 20 25 Analysing : Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions 16 20 Total 80 100

## CBSE Class 12 Maths Syllabus for Academic Year 2021-22

The CBSE has officially released the latest CBSE Class 12 Syllabus for the academic year 2021-22 on their site. Students can also download the Mathematics syllabus pdf of Class 12 Maths from the link below.

### CBSE Class 12 Maths Course Structure 2021-22

 UNITS NO. OF PERIODS MARKS Unit 1- Relations and Functions 30 08 Unit 2- Algebra 50 10 Unit 3- Calculus 80 35 Unit 4- Vectors and Three – Dimensional Geometry 30 14 Unit 5- Linear Programming 20 05 Unit 6- Probability 30 08 TOTAL 240 80 INTERNAL ASSESSMENT 20

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