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.