An introduction to the Integration as inverse of differentiation, properties of integrals, Techniques of integration, Integration by parts, integration of the form (e* (f(x)+ f1(x))dx, integration by using partial fractions. 

An introduction to the Range, Definition, Domain, Principle value branches, Graphs of inverse trigonometric functions, Elementary properties of Inverse trigonometric functions. 

An introduction to the determinants of a square matrix (upto 3x3 matrices), properties of determinants, Minors, Cofactors, Evaluation of a determinants using properties, Application of determinants. 

Matrices and their representations; order, equality and types of matrices, Zero matrix, transpose of a matrix, Symmetric and skew - symmetric matrices, Addition, subtraction, Multiplication and scalar multiplication of matrices, simple properties of addition, subtraction, multiplication, and scalar multiplication, Invertible matrices, Elementary operations, Inverse of matrix by Elementary operations.   

An introduction of the derivative of a function, velocity as limit, Geometrical interpretation of dy/dx , derivatives of constant function, derivatives of the function from first principle, Algebra of derivatives, derivatives of sum and difference of functions, and Product of functions, Quotient rule, Chain rule.