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

**Compute limits and carry out some basic proofs about limits and continuty,****Compute derivates and use it in applications such as computing rates of change, finding extreme values,****Sketch graphs of functions by finding intervals of increase /decrease, concavity and asymptotes,****Use transcendental functions including logarithms, exponentials and inverse trigonometric functions effectively,****Compute integrals by the Riemann Sum defintion and use it to make approximations,****Make use of various techniques to compute proper and improper integrals,****Use integration to compute area, volume, arc lenght and surface area,****Make and use parametrizations of plane curves in Cartesian an polar coordinates.**