Applied mathematics: Vectors and Matrices (3 cr)

Evaluation scale

0-5

Objective

Objective of the course
Vectors and matrices is one of the alternative courses in applied mathematics. In this course you focus your skills on particularly mathematics needed in 3D programming but after completing the course you will also identify other ranges of uses for vector and matrix calculus in the field of information and communication technology.

Course competences:
EUR-ACE Knowledge and Understanding
- knowledge and understanding of scientific mathematical principles in information and communication technology
- knowledge and understand of engineering sciences in one's own field of specialisation on a level that makes it possible to also reach the results in the degree program, including a view on the future requirements in one's own field.
EUR-ACE Engineering Practice
- understanding of the applied techniques and methods as well as their limitations

Content

Notion of vector, basic operations, dot product and cross (vector) product, vector projection, defining line and plane by vectors, definition of matrix, basic operations, determinant, inverse matrix (rotation, scaling, transfer), orthogonal matrix, homogeneous coordinates, transformations between coordinate systems. Applications of concepts and operations in particular in 3D programming but also in other fields of information technology.

Assessment criteria, approved/failed

You know the notations of vectors and matrices. You understand the notions of vector and matrix and are able to perform basic calculations with vectors and matrices. You understand the significance of vector and matrix calculus in 3D programming and are able to apply vector and matrix calculus in simple applications.

Qualifications

Osaat suorakulmaisen kolmion trigonometrian.