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Cursus: UCSCIMAT31
UCSCIMAT31
Advanced Mathematics
Cursus informatie
CursuscodeUCSCIMAT31
Studiepunten (ECTS)7,5
Categorie / Niveau3 (Bachelor Gevorderd)
CursustypeCursorisch onderwijs
VoertaalEngels
Aangeboden doorUniversity College; Science;
Contactpersoondr. J.W. van de Leur
Telefoon+31 30 2533833
E-mailJ.W.vandeLeur@uu.nl
Docenten
Docent
dr. J.W. van de Leur
Overige cursussen docent
Blok
SEM2  (28-01-2013 t/m 17-05-2013)
Aanvangsblok
SEM2
Timeslot-: Niet van toepassing
Onderwijsvorm
Voltijd
AanmeldingsprocedureTutor / Education&Student Office
ToelichtingNew students indicate course preferences on their UCU application form. Continuing students contact their tutor.
Inschrijven via OSIRISNee
Inschrijven voor bijvakkersJa
VoorinschrijvingNee
WachtlijstNee
PlaatsingsprocedureEducation&Student office
ToelichtingThe Education&Student office places students based on tutor-led course registration and maximum class size.
Cursusdoelen
-
Inhoud

Content
The course treats the basic topics of analysis, such as limits, continuity, uniform continuity, differentiation, etc., also in more than one variable.

Aim
After completing this course students are able to:

  • employ basic technical skills in the area of Analysis
  • write down a proof
  • appreciate the building or unraveling of mathematical theory and its intrinsic motivation and beauty

Format 
Syllabus and projects
Every fortnight special exercises must be handed in. The instructor and his assistants correct and return it to the student for inspection. When necessary, the written corrections are discussed with the students. Thus, these exercises serve as an integrated component of the learning process.

Mathematica
The course the computer package Mathematica is used as a tool for computations.

  • preparing for the next lecture by reading the corresponding part of the lecture notes,
  • finishing the elaboration of the hand-in exercises and handing them in,
  • studying the corrections on the previous exercises that is returned each fortnight to make sure everything is clear.

During these activities, if it appears that earlier material is not yet completely understood, students study the material again; it is characteristic for mathematical comprehension that repeated attempts with intermissions are required. Students are likely going to ‘get stuck’ when working on the exercises or lecture notes. During the practical work session, students can ask the assistant for help or an explanation.

Preparation
In addition to the four contact hours, each student is expected to work ten hours per week on the course.

Ingangseisen
Er moet voldaan zijn aan de cursussen:
- Calculus and Linear Algebra (UCSCIMAT11)
- Mathematical Methods (UCSCIMAT21)
Verplicht materiaal
Internet pagina's
William F. Trench, Introduction to Real Analysis Dowloadable free of charge via: http://ramanujan.math.trinity.edu/wtrench/misc/index.shtml
Werkvormen (aanwezigheidsplicht)
UCU sci 3 course (Verplicht)

Toetsen
Final exam
Weging30
Minimum cijfer-

Hand-in exercise
Weging40
Minimum cijfer-

Midterm exam
Weging30
Minimum cijfer-

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