CALCULUS

“Calculus is the mathematical study of change. It’s how we understand the behavior of functions, rates of change, and the accumulation of quantities

SYLLABUS

UNIT-I

FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS:[8 Hours] Exact differential equations, equations reducible to exact, Linear differential equation, Bernoulli differential equation.

UNIT-II

DIFFERENTIAL EQUATIONS OF HIGHER ORDER: [10 Hours] Non-homogeneous linear differential equations of second and higher order with constant coefficients with non-homogeneous terms of the type

UNIT-III

INTEGRAL CALCULUS: [10 Hours] Double integrals: Double integrals, change of order of integration - change of variables (Polar) - Areas (Cartesian coordinates) and triple integrals – Volumes (Cartesian coordinates)

UNIT-IV

INTEGRAL CALCULUS: [10 Hours] Double integrals: Double integrals, change of order of integration - change of variables (Polar) - Areas (Cartesian coordinates) and triple integrals – Volumes (Cartesian coordinates)

UNIT-V

PARTIAL DIFFERENTIAL EQUATIONS OF FIRST ORDER: [8 Hours] Introduction -Solutions of first order linearequations(Lagrange’s) and nonlinearequations: standard type equation.