Integral: Antiderivatives and indefinite integrals; Techniques of Integration, Definite Integration, Riemann sums; Properties of Integration, Integration by Reduction, Applications of Integration: area and volume: plane areas, the volume of solids, arc length, and the surface of revolution; Improper Integrals: Gamma and beta functions; Area and Arc Length: Cartesian and polar coordinates; Vectors in plane and space: algebra of vectors, applications in plane and space geometry; Conic Sections: Review of standard forms, reduction of second-degree equations to standard forms, pairs of straight lines, identification of conics, equations of conics in polar coordinates, Infinite Series: Convergence of series