Semester 
F2019

Subject 
Mathematics / Mathematical Physical Modelling / Mathematical Computer Modelling

Activitytype 
master course

Teaching language 
English

Registration 
Tilmelding sker via stads selvbetjening indenfor annonceret tilmeldingsperiode, som du kan se på Studieadministrationens hjemmeside Når du tilmelder dig kurset, skal du være opmærksom på, om der er sammenfald i tidspunktet for kursusafholdelse og eksamen med andre kurser, du har valgt. Uddannelsesplanlægningen tager udgangspunkt i, at det er muligt at gennemføre et anbefalet studieforløb uden overlap. Men omkring valgfrie elementer og studieplaner som går ud over de anbefalede studieforløb, kan der forekomme overlap, alt efter hvilke kurser du vælger. Registration is happing through stads selvbetjeningwithin the announced registration period, as you can see on the Studyadministration homepage. When registering for courses, please be aware of the potential conflicts between courses or exam dates on courses. The planning of course activities at Roskilde University is based on the recommended study programs which do not overlap. However, if you choose optional courses and/or study plans that goes beyond the recommended study programs, an overlap of lectures or exam dates may occur depending on which courses you choose. 
Learning outcomes/assessment criteria 
Knowledge
Skills
Competencies

Overall content 

Detailed description of content 
The aim of the course is to buildup the students understanding of mathematical structures. What constitutes a mathematical structure? How is a structure formed? What are the properties? What are the general principles (to the extend such principles can be determined). The course has two parts. The first is a rather quick (re)introduction of various mathematical structures. The second part is a comparative analysis of the structures encountered in the course and in other courses. What is the general pattern in structure formation etc. 
Teaching and working methods 
Lectures and calculation exercises with brief student presentations and discussions of the material. 37 small assignments are submitted either individually or in groups, for feedback. 
Expected work effort (ectsdeclaration) 
The course is a 10 ECTS course and the student is expected to work 250260 hours with the course during the semester. Off these 70 hours (40 classes of 1h45m) are a combination of lectures and students supervised exercise solving. The students are expected to spend an equal amount of time (60 hours) in preparation for the class and 1.5 times this amount (90 hours) for working with the material after class. The remaining time is preparation for the exam. 
Course material and reading list 
Course notes written by Mogens Niss. The notes will be available from the Moodlepage of the course. The notes covers Formal logic Set Theory Algebraic structures Topological structures 
Form of examination 
The course is assessed through an oral examination The oral examination may relate to written assignments/tasks prepared during the course. The examination duration is 30 minutes, including assessment. 
Form of reexamination 
Reexamination takes the same form as the ordinary examination. 
Examination type 
Individual examination

Exam aids 
All. 
Assessment 
7point grading scale

Moderation 
Internal (i.e. course lecturer and an internal examiner assess)

Evaluation and feedback forms 
The course is evaluated according to the evaluation scheme developed by the study board for INM. This consists of a midterm evaluation and a final evaluation (both are discussions between the course professor and the class. The final evaluation is supplemented with a blinded written evaluation through survey exact. The teaching will be dialog based with ample possibilities for feed back both personally and as a class. 
The responsible course lecturer 
Carsten Lunde Petersen (lunde@ruc.dk)

Teacher  
Administration of exams 
INM Studieadministration (inmstudieadministration@ruc.dk)

STADS stamdata  
Last changed  21/12/2018 