Home Education CBSE Syllabus for Class 12 Maths (Term 1 and 2) 2021-22 PDF

CBSE Syllabus for Class 12 Maths (Term 1 and 2) 2021-22 PDF

by Quibus
class 12 maths syllabus

Understanding the CBSE Class 12 Maths Syllabus is essential for exam preparation. Also, it familiarises them with the Mathematics subject’s content knowledge. Additionally, students also learn about the topics and sub-topics they will study during 2021-22. Moreover, the CBSE board exam question paper is also based on each term’s CBSE Class 12 Maths Syllabus. As a result, it is strongly advised that students adhere to the Mathematics syllabus for class 12 and prepare better. Also, students can quickly achieve good grades by covering the topics listed in the syllabus.

Additionally, the CBSE Class 12 Maths Syllabus 2021-22 is in PDF for students to download from Vidya Setu. Also from Vidya setu, you can have a free class 12 maths online lecture to cover all the doubts. Moreover, they must refer to it whenever they are studying. This CBSE Syllabus pdf will assist students in keeping track of what concepts they have covered so far and what they still need to cover. Feel Free to check ExamLabs here.

CBSE Class 12 Maths Curriculum

Moreover, many students believe calculus is a complicated subject, but this is not the case. However, students can improve their calculus knowledge by learning the context and practising the questions in the NCERT book. Also, students must try to attempt to solve the previous year’s board exam question papers. Moreover, Calculus is not only a crucial topic for board exams, but it is also important for competitive exams. As a result, this chapter should not be overlooked.

Term 1 Maths Marks Distribution

Time: 90 minutes
Max Marks: 40

I.Relations and Functions08
V.Linear Programming05
 Total Theory40
 Internal Assessment10
 Grand Total50

Term 2 Maths Marks Distribution

Time: 90 minutes
Max Marks: 40

So, here is the Term 2 Syllabus and marks distribution. Moreover, students can check the syllabus below to confirm the concepts under each of the chapters.

IV.Vectors and Three-Dimensional Geometry14
 Total Theory40
 Internal Assessment10
 Grand Total50

Class 12 Maths Syllabus

Unit-I: Relations and Functions

1. Relations and Functions

So, in this chapter, students will learn Types of relations: reflexive, symmetric, transitive, and equivalence relations. Additionally, the chapter will cover One one and onto functions.

2. Inverse Trigonometric Functions

So, this chapter will cover the Definition, range, domain, principal value branch.

Unit-II: Algebra

1. Matrices

Also, the matrix is an essential chapter in class 12 Maths Syllabus CBSE 2021-2022. Moreover, the chapter will cover Concept, notation, order, zero and identity matrix, types of matrices, symmetric and skew-symmetric matrices. Additionally, other concepts are Simple properties of addition, multiplication, and scalar multiplication. Further, students will learn Invertible matrices and Non-commutativity of multiplication of matrices. 

2. Determinants

So the determinants chapter will cover the Determinant of a square matrix (up to 3 x 3 matrices), co-factors, and the determinants application in finding the area of a triangle and minors. Also, they will go through the Adjoint and inverse of a square matrix. Moreover, they will solve the system of linear equations in two or three variables (having a unique solution) with the inverse of a matrix.

Unit-III: Calculus

1. Continuity and Differentiability

So, this chapter covers continuity and differentiability, the derivative of composite functions, and chain rule. Additionally, they will also learn the derivative of inverse trigonometric and implicit functions. Also, you will understand the concept of exponential and logarithmic functions.

Also, they will study Derivatives of logarithmic and exponential functions. Moreover, they will also cover Second order derivatives, Logarithmic differentiation, and derivative of functions expressed in parametric forms

2. Applications of Derivatives

So, this chapter will cover Applications of derivatives: increasing/decreasing functions, maxima and minima, and tangents and normals. Additionally, they will solve simple problems (that demonstrate fundamental concepts and understanding of the concept and real-life scenarios). 

Unit-V: Linear Programming

1. Linear Programming

So, this chapter will cover Introduction, related terms such as constraints, optimization, types of linear programming (L.P.) problems, an objective function. Additionally, they will learn the graphical method of solution for problems in two variables. Also, feasible and infeasible regions (bounded), optimal feasible solutions, and feasible and infeasible solutions. 

Class 12 Maths Syllabus For Term 2

Unit III: Calculus

1. Integrals

So this chapter will cover Integration as an inverse process of differentiation. Additionally, they will learn the Integration of various functions by substitution, partial fractions, and parts. Moreover, they will learn the Fundamental Theorem of Calculus (without proof).

2. Applications of the Integrals

Additionally, this chapter will help students learn about the Applications in finding the area under simple curves. Moreover, the lines, parabolas. Also, it includes the area of circles /ellipses. (Also, only in standard form) (The area should be easily distinguishable.)

3. Differential Equations

So, this chapter will cover the Definition, general and particular solutions of a differential equation, order, and degree. Additionally, they will learn solutions of homogeneous differential equations of the first order and first degree and solution of differential equations by separating variables. 

Unit-IV: Vectors and Three-Dimensional Geometry

1. Vectors 

So, this chapter will cover Vectors and scalars. Additionally, it will include the magnitude and direction of a vector and direction cosines and direction ratios of a vector. Moreover, they will also learn Types of vectors, including equal, unit, parallel, zero, and collinear vectors. Also, the chapter will cover the position vector of a point, components of a vector, negative of a vector, addition of vectors, position vector of a point dividing a line segment in a given ratio, and the multiplication of a vector by a vector scalar.

2. Three–dimensional Geometry

So, in this chapter, students will learn about the direction cosines and direction ratios of a line joining two points. Additionally, they can go through the Cartesian equation and vector equation of a line, the shortest distance between two lines, and coplanar and skew lines. Also, it will include the cartesian and vector equation of a plane and the distance of a point from a plane.

Unit-VI: Probability

1. Probability

So, the final unit and the chapter will include conditional probability, independent events, multiplication theorem on probability, total probability, Random variable, and its probability distribution, and Bayes’ theorem.

So, students can check the CBSE class 12 maths syllabus for a complete list of chapters and their respective coursework. Moreover, with Vidya Setu, students can learn class 12 maths with ease. So, take advantage of Vidya Setu’s interactive classes and other study content to secure good marks in CBSE Boards.

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