About This Course

This course is a combination of some topics from Integral Calculus and Ordinary Differential Equations for the undergraduate students of engineering. In the first two third of total classes will have the discussion from Integral calculus and and the last one third classes of the total class will have the discussion from Ordinary Differential Equations.

Integral Calculus is the study of definitions of integration, Integration by the method of substitution. Integration by parts, Standard integrals, Integration by method of successive reduction, Definite integrals, its properties and use in summing series, Walli's formula, Improper integrals, 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 equations, Volumes of solids of revolution, Volume of hollow solids of revolutions by shell method, Area of surface of revolution.

In Ordinary Differential Equations lectures, students will be introduced to differential equations, Formation of differential equations, Solution of first order differential equations by various methods, Solution of linear model differential equations, Solutions of general linear equations of second and higher order with constant coefficients, Solution of homogeneous linear equations and their applications, Solution of differential equations of the higher order by method of undetermined coefficient, method of variation parameter.