Muria Maldonado, SergiGuimerà Vea, Enric2021-05-072021-05-072020-06-19https://hdl.handle.net/2445/176991Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Sergi Muria Maldonado[en] Bolzano’s theorem is indisputably a classic theorem in mathematical analysis. In this work we present its mathematical construction with its many applications, from the simple location of roots to numerical methods based on this result. I dedicate a section in addition to its possible generalizations where we will analyze Bolzano’s theorem topologically. Finally I will propose a didactic part where we will see how to carry this theorem in the classroom and work on the mathematical language, an essential element in mathematics.50 p.application/pdfcatcc-by-nc-nd (c) Guimerà Vea, Enric, 2020http://creativecommons.org/licenses/by-nc-nd/3.0/es/Funcions contínuesTreballs de fi de grauCàlcul diferencialTopologiaAnàlisi matemàticaDidàctica de la matemàticaContinuous functionsBachelor's thesesDifferential calculusTopologyMathematical analysisMathematics teaching methodsinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess