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