Semester 
F2019

Subject 
The Bachelor Study Programme in Natural Science / International Bachelor Study Programme in Natural Science

Activitytype 
basic 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. 
Academic prerequisites 
A certain level of knowledge in mathematics obtained during upper secondary school corresponding to Alevel in mathematics in the Danish Gymnasium. 
Objectives description (assessment criteria) 
The course gives the student:  familiarity with the central concepts and processes of fundamental linear algebra;  ability to activate these concepts and processes on mathematical and extramathematical problems;  understanding the possibility, the importance, and the range of the construction of a rigorous and coherent mathematical topic, applicable to a variety of apparently different problems. Curriculum for the Bachelor Study Programme in Natural Sciences § 19. Courses BK 4 to BK 8: Courses in the natural sciences The objectives of courses BK 4 to BK 8 are to give students a broad introduction to and basic knowledge of the natural sciences with the aim of enabling them to make a qualified choice of subject modules, and to complete these. 
Overall content 
Linear algebra in the real number space Rn and subspaces thereof, linear transformations, basis and dimension, matrices, eigenvalues, systems of linear equations. 
Detailed description of content 
We will start from basic matrix algebra and build up from there a knowledge base about R^n and subspaces there of and of linear transformations, basis and dimension, matrices, eigenvalues, systems of linear equations. 
Teaching and working methods 
The teaching will be a mixtures of lectures and exercisesolving classes. 
Expected work effort (ectsdeclaration) 
Preparation : Before classes 20 hours Classes : 20 double classes Post class reading and exercises: 60 hours Preparation for Exam and Exam 1520 hours 
Course material and reading list 
The text book for the course will be parts of (approx the first five chapters of) “Elementary Linear Algebra with Supplemental Applications 11th ed., International Student version" by Howard Anton and Chris Rorres, John Wiley & Sons Inc, ISBN: 9781118677452 
Form of examination 
The course grade is 50% based on the average grade of the handin exercises (a minimum of two of these must be passed) and 50% based on the grade at the oral exam. 
Form of reexamination 
Same as ordinary test. 
Examination type 
Individual examination

Exam aids 
Noncommuniative devices, ie. Computer and written material can be used, but not mobil phones ect. 
Assessment 
7point grading scale

Moderation 
None (i.e. course lecturer assesses)

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  
Teacher 
Carsten Lunde Petersen (lunde@ruc.dk)

Administration of exams 
Natbach Studieadministration (natbachstudieadministration@ruc.dk)

STADS stamdata  
Last changed  14/06/2019 