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 11.-Applications of the integral. Improper integrals: relationship with series

The docent methodology includes: -Master classes, where the knowledge that the students should acquire will be presented. The students will have written notes and the basic reference texts in order to make easier their subsequent work. -Problem classes where problems proposed to the students will be solved. -Partial controls -Final control