MATH143:
Integral Calculus, Ordinary and Partial Differential Equations, and Series Solutions 4 Credit Hour Course Intended For Level 1 Term 2 Students Prerequisite: None Integral Calculus: Definitions of integration; Integration by the method of substitutions; Integration by parts; Standard integrals; Integration by the method of successive reduction; Definite integrals and its properties and use in summing series; Walliâ€™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; Trapezoidal rule, Simpsonâ€™s rule. Arc lengths of curves in cartesian and polar coordinates, parametric and pedal equations; Intrinsic equation; Volume of solids of revolution; Volume of hollow solids of revolution by shell method. Area of surface of revolution; Jacobian, multiple integrals and their application.


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