In this first course of Calculus the students should acquire the mathematical background needed to understand and apply the concepts and techniques appearing in Statistics. In particular to be acquinted with real functions of one variable, their properties of continuity, derivability, integrability and their graphic representation.

1.- Numerical systems. Sequences 2.- Elementary Functions 3.- Limits and continuity 4.- Continuous functions on [a,b] 5.- Derivative of a function. Calculus of derivatives 6.- Rolle's theorem. Mean value theorem: consequences 7.- Local study of a function: Taylor's theorem 8.- Graphing functions. Optimization problems 9.- Indefinite integral 10.-Definite integral