Integral calculus

Integration as the inverse process of differentiation.

Indefinite integrals of standard functions, definite integrals, and their properties.

Fundamental Theorem of Integral Calculus.

Integration by parts, integration by the methods of substitution and partial fractions.

Application of Integration

Application of definite integrals to the determination of areas involving simple curves.

Differential Equations

Formation of ordinary differential equations.

The solution of homogeneous differential equations, separation of variables method.

Linear first-order differential equations.