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