Relation and function

• Equivalence Relation Preview
• Inverse of a Function

Inverse Trigonometric Functions

• Principal Value
• Properties of inverse trigonometric function

Matrices

• Symmetric and skew symmetric matrices
• Concept of elementary row and column operations

Determinants

• Properties of determinants
• Adjoint and inverse of a square matrix
• Solving system of linear equations using inverse of a matrix

Continuity and Differentiability

• Continuity and differentiability
• Chain Rule
• Derivative of exponential and logarithmic functions
• Second Order Derivative
• Derivative Of Inverse Trigonometric Functions

Application of Derivatives

• Rate Of Change Of Quantity
• Increasing Or Decreasing Function
• Tangents And Normals
• Maxima And Minima

Integrals

• Integration By Parts
• Integration By Partial Fraction
• Properties of definite integrals
• Evaluation Of Definite Integrals

Application of Integrals

• Application Of Integration

Differential Equations

• General and particular solutions of a differential equation
• Seperation Of Veriable
• Homogeneous differential equation
• Integrating Factors

Vector Algebra

• Dot Product
• Cross Product
• Scalar Triple Product Of Vectors

Three Dimensional Geometry

• Cartesian And Vector Equation Of A Plane
• Distance of a point from a plane

Linear Programming

• Linear Programming
• Transportation Method

Probability

• Conditional Probability
• Bays Theoram
• Bernoulli Trial