Checking date: 02/05/2019


Course: 2022/2023

Mathematical Methods I
(13697)
Study: Bachelor in Statistics and Business (203)


Coordinating teacher: VEIGA VEIGA, MARIA PILAR

Department assigned to the subject: Department of Mathematics

Type: Basic Core
ECTS Credits: 6.0 ECTS

Course:
Semester:

Branch of knowledge: Engineering and Architecture



Objectives
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.
Description of contents: programme
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
Learning activities and methodology
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
Assessment System
  • % end-of-term-examination 50
  • % of continuous assessment (assigments, laboratory, practicals...) 50
Basic Bibliography
  • Ron Larson y Bruce Edwards. Cálculus. Mc Graw Hill. 2010 (9ª edición)

The course syllabus may change due academic events or other reasons.