Maths Syllabus for Grade-12

Topics Subtopics
 

 

Relation and Functions

Relation, Relation on a set. Types of relation
Equivalence Relation, Equivalence Class
Function, types of Function, Inverse of a function, bijectivity of a function composite function,
Inverse trigo, principal range, and related formulae
Continuity Continuity
Differentiability Derivative (Chain Rule), 1st. Order and second-order, MVT
Application of Derivatives Rate measure (application in sphere, cylinder, cone etc.), Increasing & Decreasing Functions
 

 

Application of Derivatives

Local minima, Maxima, Absolute maxima and minima, Point of Inflexion, Concavity and word problem related cylinder, cone, etc.
Tangent & Normal, Angle between curves at the point of intersection
Approximation
 

Matrices and Determinant

Matrices (Inverse, Transpose, Adjoint and Symmetric and Skew symmetric, Solve by matrix method (Martin’s Rule), Word problem by matrix method.
Determinant, properties, area of the triangle
 

LPP

L.P.P, , Mathematical Formulation
Bounded and Unbounded Region
Transportation Problem
Indefinite integral Integration Properties, Formulae, solution by substitution, by parts
Topics Subtopics
 

 

Relation and Functions

Relation, Relation on a set. Types of relation
Equivalence Relation, Equivalence Class
Function, types of Function, Inverse of a function, bijectivity of a function composite function,
Inverse trigo, principal range and related formulae
Continuity Continuity
Differentiability Derivative (Chain Rule), 1st. Order and second-order, MVT
Application of Derivatives Rate measure (application in sphere, cylinder, cone etc.), Increasing & Decreasing Functions
 

 

Application of Derivatives

Local minima, Maxima, Absolute maxima and minima, Point of Inflexion, Concavity and word problem-related cylinder, cone, etc.
Tangent & Normal, Angle between curves at the point of intersection
Approximation
 

Matrices and Determinant

Matrices (Inverse, Transpose, Adjoint and Symmetric and Skew symmetric, Solve by matrix method (Martin’s Rule), Word problem by matrix method.
Determinant, properties, area of a triangle
 

LPP

L.P.P, , Mathematical Formulation
Bounded and Unbounded Region
Transportation Problem
Indefinite integral Integration Properties, Formulae, solution by substitution, by parts
Partial fraction, special integrals
Topics Subtopics
Integration Definite integral as a limit of a sum, different properties of definite integral
 

Probability

Probability(Conditional), Baye’s Theorem, Random Variable, Distribution, Mean and Variance, Binomial Distribution
Area Under Curve The area under the curve (Rough sketch of the curve and calculating area by using integration)
 

Differential Equation

Differential Equations, Formation, Order & Degree, and Solve the differential equation, Method of separation, substitution, homogeneous diff equation, integrating factor and linear diff equation
Vectors Vectors, dot and cross product, geometry
 

 

 

3D Geometry

Scalar triple product, Condition of coplanarity
Direction Cosine of line, Angle between lines, Condition of parallel and perpendicular lines, Straight line(3 D), Equation of line passing through two points, Shortest distance between two skew lines, Planes(3D), Equation of plane, Normal form, Perpendicular distance from a Point, Parallel planes, Family of planes,Vector and scalar form .