# CBSE Class 12 Maths Syllabus

Mathematics is the nightmare for most of us. Whether it be long calculations or the endless list of formulas one needs to mug up while getting ready for Maths Exam, the excruciating headache blankets all! Those who are in class 12th along with ones who have recently cleared it can relate to how befuddling the concepts in maths tend to get. Despite all the brainstorming one needs to do in order to make terms with the subjects, it is also among the most scoring subjects. Since mathematics is a predominantly important paper, students must prepare for it with determination. We are here to divide your stress by adding this blog on Class 12 Maths Syllabus (CBSE)to your preparatory graph!

Now let us take a detailed look at class 12 maths syllabus:

## Unit I: Relations and Functions

Relation and Function: Equivalence, transitive, reflexive, symmetric relations and various other types of relations. Inverse of a function, composite function, one to one and onto function, etc

Inverse Trigonometric Functions: Principle value branch, domain, range, definition. Graphs of inverse trigonometric functions. Various elementary properties of inverse trigonometric functions are the main topics covered in this unit of class 12 maths syllabus, etc.

## Unit II: Algebra

The major topics covered in this unit of class 12 mathematics syllabus are:

Matrices: Order, equality, notation, types of matrices, concept, zero and identity matrices,  symmetric and skew matrices, transpose of a matrix. Operations on matrices: multiplication, addition and multiplication with a scalar. Distinct properties of scalar addition and multiplication.Existence of the non-zero matrices whose product is a zero matrix (only square matrices of order 2) and non- commutativity of multiplication of matrices etc

Determinants: Multiple properties of determinants, minors, co-factors and applications of determinants in determining the areas of a triangle, determinants of a square matrix (up to 3×3 matrices). Inconsistency, Consistency and number of solutions of a system of linear equations by examples and solving systems of linear equations in three or two variables (with one unique solution), etc.

## Unit III: Calculus

The unit provides an insight into the class 12 maths syllabus concepts like:

Continuity and Differentiability: Chain rule, Derivative of composite, continuity and differentiability, Derivative of an inverse trigonometric function, Concept of exponential and logarithmic function, Derivatives of implicit functions. Derivatives of logarithmic & exponential functions. Derivative of functions expressed in parametric forms, etc.

Applications of Derivatives: Simple problems (that illustrate the basic principles of the subject), applications of the derivatives: increasing/ decreasing functions, normals and tangent, maxima and minima, use of derivatives in approximation, etc.

Integrals: Definite integrals as a limit of a sum, basic properties of definite integrals and evaluation of definite integrals, fundamental theorem of calculus. Integration as an inverse phenomenon of differentiation. Integration of a variety of functions by substitutions, by parts and partial fractions are the major inclusions in class 12 maths syllabus of this chapter, etc.

Differential Equations: General and particular solution of a differential equation, order and degree, definition, solution of differential equations by the method of separation of variables, first degree and first-order solution of homogenous differential equations, etc.

Also Read: BSc Courses after 12th Science

## Unit IV: Vectors and Three- Dimensional Geometry

Students will read about the following topics in class 12 maths syllabus of this unit:

Vectors: Magnitude and direction of a vector, vectors and scalars, direction ratios of a vector and directions cosines, multiplication of a vector by a scalar, position vector of a point, negative of a vector, addition of vectors, components of a vector, geometrical interpretation, dot and cross product of a vector, scalar and triple product of vectors, etc.

Three- Dimensional Geometry: Vector equation and cartesian equation of a line, direction cosiness and direction ratios of a line joining two points, coplanar and skew lines, cartesian and vector equation of a plane, the shortest distance between two lines, Distance of a point from plane etc.

## Unit V: Linear Programming

In class 12 maths syllabus, this unit will guide you about:

Linear Programming: Mathematical formulation of L.P., graphical method is solution for problems in two variables, feasible and infeasible regions, optimal feasible solutions, feasible and infeasible solutions, different types of linear programming, constraints, objective function etc.

Also Read: Degree Courses After 12th Science

## Unit VI: Probability

Multiplication theorem of probability, conditional probability, independent events, random variables and its probability distribution, total probability, mean and variance of a random variable, Baye’s theorem, random variable and its probability distribution etc