Relations and Functions
  • Equivalance Relation
  • 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 Inverse Trigonometric Functions
  • Derivative of exponential and logarithmic functions
  • Second Order Derivative
Application of Derivatives
  • Rate Of Change Of Quantit
  • Increasing Or Decreasing Function
  • Tangents and Normals
  • Maxima And Minima
Integrals
  • Integration By Partial Fraction
  • Integration By Parts
  • 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 diffrential 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