| Course Content |
Concept of area, estimating with finite sums, sigma notation and limits of finite sums, definite integral, The Fundamental Theorems of Calculus and Integral,integration by parts,substitution rule, indefinite integrals, numerical integration , hyperbolic and inverse hyperbolic functions, techniques of integration, area, lengths of plane curves, volumes of a solid of revolution, areas of surfaces of revolution, moments and centers of mass, moments of inertia, Pappus theorems, areas and lengths in polar coordinates. improper integrals, sequences, infinite series, tests of convergence for arithmetic,geometric,harmonic, alternating series ,absolutly convergent, conditionaly convergent,derivation and interal of power series,convergence of power series, Taylor and Maclaurin Series, Fourier Series,vectors, dot Product, cross product, lines and planes in space, cylinders and quadric surfaces, vector-valued functions, limits and continuity and integrals of vector-valued functions.
|
