Matrices and GraphsLaajuus (5 cr)

Objective

You are able to perform calculations by means of matrices. You know basic concepts of Linear Algebra and you are able to solve problems using Linear Algebra. You know basic concepts of Graph Theory, you are able to illustrate and solve problems by means of algorithms and matrices related to graphs. You are able to define finite state machines and automata, and you are able to illustrate them as graphs. You know concepts related to Automata Theory.  

Content

How calculations are performed by means of matrices and how systems of linear equations are solved? What means coordinate system and coordinate transformation? Which kind of applications Linear Algebra has? How graphs are defined, how they are classified, and by which kind of concepts graphs are studied? How problems can be illustrated and solved by means of algorithms and matrices related to graphs? How finite state machines and automata are defined and which kind of applications they have?   

Qualifications

Computer mathematics

Assessment criteria, good (3)

a) You use mathematical concepts reasonably c) You recognize problems e) You use essential models, methods, and mathematical notations.