Applied mathematics: Vectors and Matrices (3 cr)

Evaluation scale

Pass/Fail

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.

Location and time

The course will take place during weeks 43 - 51 (23.10 - 19.12.2023) at the Lutakko campus (Dynamo) as a contact course.

The exact schedule of the course will be agreed at the beginning of the course and published in the learning environment.

Some weeks may include distance learning depending on the availability of Dynamo's facilities.

Materials

Literary and video material distributed by the teacher in the learning environment.

Teaching methods

Weekly contact teaching, tutorials, independent work.

Weekly exercises to be returned
Weekly tests in the learning environment
Lecture videos are available for independent study

Exam schedules

There are the course exam and its two resits.
The dates of the exam and retakes will be published in the learning environment at the beginning of the course.

The course will end by retake two. After this date, course exercises are non-returnable and incomplete courses must be re-taken in their entirety at the next course implementation.

Completion alternatives

The procedures for admission are described in the Degree Regulations and the Study Guide. The course teacher provides further information on any specific procedures for the course.

Student workload

The estimated workload of the course is 3 cr * 27 h/cr = 81 h.
Contact teaching and guiding approx. 30 h
Returnable weekly exercises 6 x 4 h = 24 h
Weekly tests 6 x 2 h = 12 h
Independent study and exam preparation 12 h
Examination 3 h

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.

Further information

The course is assessed by exam, returnable weekly exercises and weekly tests. These exercises will be graded.

For successful course completion at least half of the maximum points for the whole course and at least one third of the maximum points from the examination are required.