Differential calculus: Limit of a function, Differential calculus, Differentiation of a sum, Product, Quotient Composite, Parametric, exponential, trigonometric and Logarithmic function. Successive differentiation, Leibnitz’s theorem, Partial differentiation, Euler’s theorem on homogeneous functions of two variables
Integral Calculus: Definite integrals, integration by substitution and by parts, Properties of definite integrals.
Differential equations: Definition, order, degree, variable separable, homogeneous, Linear, heterogeneous, linear, differential equation with constant coefficient, simultaneous linear equation of second order.
Laplace transform: Definition, Laplace transform of elementary functions, Properties of linearity and shifting.