**At the end of the course students are expected to:**

**Make use of some techniques (such as Integration by Parts, Inverse Trigonometric Substitutions,...) to compute proper integrals,****Compute****Arc Length, Volumes and Surface Areas of Solids of Revolutions, improper integrals,****Compute the limits of sequences and infinite series,****Make use of****Taylor series to represent functions,****Make use of vectors and coordinates to describe objects in three-dimensional space and solve problems related to geometry of such objects and their interactions.****Have an understanding of****Functions of several variables: their limits, continuity, partial derivatives, exteme values, t****angent planes and linear approximations, and****Compute double integrals and use them to find certain areas and volumes.**