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Cursus: 202001329
202001329
Analysis I
Cursus informatie
Cursus202001329
Studiepunten (ECTS)3
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr. J. de Jong
E-mailj.dejong-3@utwente.nl
Docenten
Contactpersoon van de cursus
dr. J. de Jong
Docent
dr. P.K. Mandal
Tutor
dr. L. Pehlivan
Collegejaar2020
Aanvangsblok
1B
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
Cursusdoelen
Upon completion of this course the student is able to:
  • Give precise definitions of some important concepts from real analysis and work with them, and also, to give a rigorous proof of some important results related to these concepts,
  • explain and apply the concepts convergence/divergence of a sequence of real numbers,
  • explain and work with the concepts related to real-valued functions, and inverse functions,
  • explain and work with the concepts related to continuity, differentiability and Riemann-integrability of real-valued functions on an interval.
Inhoud
Within the Analysis-line of Applied Mathematics, one learns the fundamental concepts in Real Analysis that are indispensable for the further study. Another integral part of the Analysis-line is the proper and rigorous manner of proving results. In this first course, the Axioms of Real numbers will be reviewed very briefly, and in particular, the concepts of supremum and minimum. The main focus lies on the topics of convergence of a sequence of real numbers and different properties of real-valued functions such as continuity, differentiability and integrability and the relationships among these properties.
 
Participating study
Bachelor Applied Mathematics
Module
Module 2
Verplicht materiaal
Book
Wade, “An Introduction to Analysis”. ISBN: 978-0132296380
Aanbevolen materiaal
-
Werkvormen
Assessment
AanwezigheidsplichtJa

Team Based Learning
AanwezigheidsplichtJa

Werkcollege

Zelfstudie met begeleiding

Toetsen
Written exam

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