Course Catalog 2009-2010 Basic Basic Pori International Postgraduate Open University |Degrees|     |Study blocks|     |Courses|

Person responsible

Stephane Foldes

Implementations

	Lecture times and places	Target group recommended to
Implementation 1	Periods 4 4 - 5

Requirements

Final exam and activity points, particulars to be announced during the first lecture.

Principles and baselines related to teaching and learning

-

Content

Content	Core content	Complementary knowledge	Specialist knowledge
1.	Basic ring and field theory. The 2-element field. Special properties of finite fields.
2.	Existence and uniqueness of finite fields.
3.	Polynomials over finite fields. Finite planes and other geometries over finite fields.

Study material

Type	Name	Author	ISBN	URL	Edition, availability, ...	Examination material	Language
Book	Finite Fields for Computer Scientists and Engineers	R.J. McEliece			Kluwer Academic Publishers		English
Book	Fundamental Structures of Algebra & Discrete Mathematics	S. Foldes			Wiley		English

Prerequisites

Correspondence of content

More precise information per implementation

	Description	Methods of instruction	Implementation
Implementation 1	Construction and classification of finite fields. Algebras over finite fields. Embeddings and automorphisms. Finite fields models in geometry and physics.

Last modified	09.03.2009
Modifier	Stephane Foldes