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Cursus: 202001214
202001214
Calculus 1 + Prooflab
Cursus informatie
Cursus202001214
Studiepunten (ECTS)4
CursustypeOnderwijseenheid
VoertaalEngels
Contactpersoondr. J. de Jong
E-mailj.dejong-3@utwente.nl
Docenten
Contactpersoon van de cursus
dr. J. de Jong
Docent
dr. J. de Jong
Examinator
dr. L. Pehlivan
Collegejaar2021
Aanvangsblok
1A
AanmeldingsprocedureZelf aanmelden via OSIRIS Student
Inschrijven via OSIRISJa
Cursusdoelen
Upon completion of this course the student is able to:
  • work with vectors in 2- and 3- dimensional spaces, complex numbers and complex exponential functions,
  • formulate a first and second order differential equation, find a solution for a differential equation, and solve some of the differential equations involving complex numbers,
  • understand the principles of logic, set theory and proof techniques,
  • work with limits and the definitions of continuity and differentiability and applications.
  • focus on writing complete and mathematically coherent solutions to exercises.
  • critically read and understand a new mathematical concept,
  • verbally communicate mathematical concepts to each other in a team of 4 or 5 students,
  • write solutions to problems and in teams of two exchange their solutions to evaluate each other's written solutions. (Focusing on the importance of writing mathematical concepts properly.)
Inhoud
Calculus 1 is part of the mathematics track at the University of Twente. In this course students learn the geometric and algebraic properties of 2- and 3-dimensional vectors. The next topic is complex numbers. This will be followed by a brief introduction to differential equations. The focus will be on solving first and second order differential equations. Next, set theory, logic and proof techniques are studied. Finally, limits (formal definition), continuity and differentiability of a function are introduced. Various applications of derivatives are discussed.
 
Two of the calculus lectures are devoted to Prooflab. The concepts that students cover during these two prooflabs are: complex numbers, set theory, logic and proof techniques.
 
Participating study
Bachelor Applied Mathematics
Module
Module 1
Verplicht materiaal
Book
Mathematical Proofs; A Transition to Advanced Mathematics, van Gary Chartrand; Albert D. Polimeni; Ping Zhang, 3rd edition. ISBN:9781292040646
Book
Calculus: A Complete Course, R.A. Adams & C. Essex, 9th edition. ISBN: 9780134154367
Aanbevolen materiaal
-
Werkvormen
Hoorcollege

Overig onderwijs
AanwezigheidsplichtJa

Werkcollege

Werkgroep
AanwezigheidsplichtJa

Zelfstudie geen begeleiding

Zelfstudie met begeleiding

Toetsen
Exam

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