a) Seminar

Participation in a seminar on the history of mathematics (2 credits). The participants give seminars on selected parts from the history of mathematics. Attendance is mandatory.

b) Courses

The following courses ( each 4 credits)

1. Geometry
2. Computer algebra with Maple.

Geometry (4 credits)

The course treats euclidean geometry, projective geometry and differential geometry for curves and surfaces.

Literature:
Roe, John: Elementary Geometry, Oxfor University Press (latest edition)

Computer algebra with Maple (4 credits)

Maple is a computer program which supports symbolic manipulation. This means that apart from numerical computations, plotting of curves and diagrams one can perform symbolic manipulations - differentiation, determination of primitive functions, solving equations, studying of differential equations etc. Hence one can let the computer do all routine computations, test hypotheses etc. It is also possible to write program (or to use othe peoples programs) and to define your own functions in Maple. The teaching is for the most part in the form of computer laborations.

Literature:
Redfern, Darren: The Maple Handbook, Springer-Verlag, latest edition (1996)
Heck, André: Introduction to Maple, latest edition (1996)

c) D-paper (thesis) 10 credits
Alternatively one can choose a 20 credit paper, which is required for "magisterexamen". For magisterexamen one may also do a C-paper and a D-paper (each 10 credits). In this case the D-paper should be a continuation and deepening of the C-paper.
The work with the paper should be a deeper study of some part of mathematics. The work with the paper includes planning and carrying out of an independent work. The work is done with the supervision of the examiner of the paper and can in some cases be attached to some of the departments internal or external research projects.

Topics can, for example, be chosen from the following areas:
Linear algebra
Mechanical systems
The calculus of variations
Stochastic processes, ergodic theory and information theory
The history of mathematics
Mathematical didactics

The choice of topic has to be done in concensus with the examiner

Work with the D-paper may not commence until MAM603 or a corresponding course i completed. The D-paper has to be presented at a seminar.
Literature:
The literature is chosen in cooperation with the examiner.


TEACHING
The teaching consists of lectures, computer exercises and tutorials. The course can in its entirety and in part be taught in english.


EXAMINATION
The examination consists of written and oral examination.

COURSE GRADE SCALE: G, VG

ITEMS/CREDITS