MAT 103Q MATH II: INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS

3 Hours/Week, 3 Credits

ntegral calculus: Definitions of integrations, integration by the method of substitution, integration by parts, standard integrals, integration by the method of successive reduction. Definite integral its properties and use in summing series. Walli's formulae. Improper integral, beta function and gamma function. Area under a plane curve in cartesian and polar coordinates, area of the region enclosed by two curves in cartesian and polar coordinates. Arc lengths of curves in cartesian and polar coordinates, parametric and pedal equations, intrinsic equation. Volumes of solids of revolution, volume of hollow solids of revolution by shell method, area of surface of revolution. Differential equations: Ordinary differential equation- formation of differential equations, solution of first order differential equations by various methods. Solutions of second and higher order differential equations with constant coefficients. Solutions of homogeneous linear equations, applications. Qualitative analysis of differential equation.