The course consider; Techniques of integration: Integration by parts, trigonometric substitutions, partial fractions, quadratic expressions. The conic sections. Plane curves and polar coordinates: Parametric equations, tangent lines, area in polar coordinates, surface of revolution. Indeterminate forms and improper integrals. Sequences and infinite series: Convergence and divergence, positive term series, alternating series, absolute and conditional convergence. Power series: Differentiation and integration of series, and convergence of these series