This calculus course focuses on differentiation and its applications. Topics covered include: differentiation as a limit; differentiation of standard functions; differentiation of sums, multiples, products, quotients and composites of functions; implicit differentiation; differentiation of parametric and logarithmic functions; l'Hôpital's rule; tangents and normals; Rolle's theorem; Mean Value theorem; maxima and minima; rates of change; marginal analysis problems; errors and estimation; Intermediate Value theorem; the Newton-Raphson method.