# Mathematics – CBSE 12

CBSE Syllabus 2020

Mathematics

Sets

Relations & Functions

Cartesian Product of Sets, Relations, Function, Domain, Range, Algebra of Real Functions, Composition of Functions, Invertible Function, Binary Operations

Algebra

Matrix

Matrix, Row Matrix, Column Matrix, Square Matrix, Diagonal Matrix, Scalar Matrix, Lower Triangular Matrix, Operations on Matrix, Equality of Matrices, Scalar multiplication of Matrix, Transpose of Matrix, Symmetric Matrix, Skew Symmetric Matrix

Determinant

Determinant, Determinant of Order 2, Determinant of Order 3, Properties of Determinants, Minors and Cofactors, Adjoint and Inverse of a Matrix, Applications of Determinants and Matrices

Linear Programming

Mathematical Formulation of Linear Programming Problems, Graphical solution of linear programming problems, Different Types of Linear Programming Problems

Calculus

Limits & Continuity

Limit of Function, Algebraic Limits, Right &Left Hand Limit, Infinite Limit, Factorisation, Rationalisation Method, Continuity, Continuity of Function

Differential Calculus

Calculus, Differentiation, Derivative, Derivative Function, Implicit functions, Parametric Function, Derivative Of Function Of A Function, Second Order Derivative, Partial Derivative, Logarithmic Differentiation, Extreme of differentiable Function, Maxima and Minima, Applications of Maxima and Minima,

Integral Calculus
Integration, Integrals, Integration by Substitution, Integration by Parts, Integration by Rationalisation, Standard Integrals, Definite Integrals, Summation of Series by Definite Integral, Geometrical Interpretation of Definite Integrals. Area under Simple Curves

Differential Equations

Order of a differential equation, Degree of a differential equation, Solutions of  Differential Equation, First Order, First Degree Differential Equations, Homogeneous differential equations, Linear differential equations,

Geometry & Trigonometry

Vectors

Types of Vectors, Operations on Vectors, Components of a VectorProduct of Vectors

Trigonometric Functions

Angles, Measurement of Angles, Trigonometric Functions, Sign of Trigonometric Functions, Domain and range of trigonometric functions, Inverse Trigonometrical Functions

3D Geometry

Coordinate Axes and & Planes in 3D Space, Coordinates of a Point in Space, Distance between Two Points in 3D space, Section Formula in 3D space, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between Two Lines, Distance between Two Lines, Equation of a plane,Coplanarity of Two Lines, Angle between Planes, Distance of a Point from a Plane, Angle between a Line and a Plane,

Statistics

Probability

Random Experiment, Sample Space, Events & Outcome, Statistical Probability Theories, Total Probability Theorems, Mutually Exclusive & Dependent Events, Compound Probability, Conditional Probability, Bernoulli’s Theorem, Expected Value