Study Guide

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled later on.

Yksilölliset oppimisväylät

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

Electronic material as well as web material published on the course's Learn platform. Weekly tasks and their answers are also given to students during the exercise hours on class.

Yksilölliset oppimisväylät

Participation in contact learning according to the weekly work schedule. The student completes the weekly assignments before the given deadlines, is prepared to present their answers to given assignments during weekly exercises, and participates in the midterm exam and final exam. The course can also be completed by just one exam that covers all topics of the course.

Alternative methods of study must be agreed with the lecturer in charge before the beginning of the course.

TKI ja työelämäyhteistyö

During the course, demonstrations of studied mathematical tools will be given that use the most popular game engines and programming languages. These can be later utilized in different game projects and simulations.

Tentit ja muut määräajat

Exercises and assignments must be completed before the given deadlines. Midterm and final exam schedule will be agreed upon together with the students.

Kansainvälinen yhteistyö

Possible international connections will be announced in the beginning of the course on the Learn-page and on the Teams-channel of the course when needed.

Opiskelijan työmäärä

A total of 135h, of which about 55hrs is contact learning and 80hrs is independent work.

Evaluation scale

1-5

Assessment methods and criteria

Participation in contact learning, completing course assignments and exams.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off.

Yksilölliset oppimisväylät

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled at the course kick off.

Tentit ja muut määräajat

To be settled at the course kick off.

Opiskelijan työmäärä

135 h

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

Textbook: Seymour Lipschutz, Essential Computer Mathematics, Schaum's Outline Series, McGraw-Hill 1982 or 1987. Course material provided by the lecture.

Yksilölliset oppimisväylät

Scheduled track:
To be settled at the course kick off.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h.

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

Material given by teacher and exercises.

Yksilölliset oppimisväylät

Exam

TKI ja työelämäyhteistyö

None

Tentit ja muut määräajat

Exam(s) and exercises and problems.

Kansainvälinen yhteistyö

None

Opiskelijan työmäärä

5 credits

Evaluation scale

1-5

Assessment methods and criteria

Exam(s) and exercises and problems.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

Electronic material as well as web material published on the course's Learn platform. Exercises and their model answers are also given to students on the course's Learn platform and / or Teams channel.

Yksilölliset oppimisväylät

Participation in contact and / or remote learning according to the work schedule. The student completes the assignments, tasks and project work required in the course before the given deadlines and participates in the exam at the end of the course if it will be arranged.

Alternative methods of study must be agreed with the lecturer in charge before the beginning of the course.

TKI ja työelämäyhteistyö

During the course, students will use the most popular game engines and programming languages to implement small game programming tasks and simple mathematic tools. These can be later utilized in different game projects and simulations.

Tentit ja muut määräajat

Exercises and assignments will be returned to the Learn platform by the deadline specified there. Possible exam schedule will be agreed upon together with the students.

Kansainvälinen yhteistyö

Possible international connections will be announced in the beginning of the course on the Learn-page and on the Teams-channel of the course when needed.

Opiskelijan työmäärä

A total of 135h, of which about 55hrs is contact learning and 80hrs is independent work.

Evaluation scale

1-5

Assessment methods and criteria

Participation in contact learning, completing course assignments and project work.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off,

Yksilölliset oppimisväylät

Scheduled track:
To be settled at the course kick off.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h.

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off.

Yksilölliset oppimisväylät

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off.

Yksilölliset oppimisväylät

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled at the course kick off.

Tentit ja muut määräajat

To be settled at the course kick off.

Opiskelijan työmäärä

135 h

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off,

Yksilölliset oppimisväylät

Scheduled track:
To be settled at the course kick off.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h.

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

Lecture notes and calculations.

Yksilölliset oppimisväylät

Final exam.

TKI ja työelämäyhteistyö

This course does not include RDI and work-related cooperation.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off.

Yksilölliset oppimisväylät

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off,

Yksilölliset oppimisväylät

Scheduled track:
To be settled at the course kick off.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled later on.

Tentit ja muut määräajat

To be settled later on.

Opiskelijan työmäärä

135 h.

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Objective

You know the basic concepts of linear algebra and are able to perform calculations by means of vectors and matrices.
You know the basic concepts of graph theory and are able to solve problems by means of graphs.
You are able to define and illustrate finite state machines and automata.

Content

How are calculations performed by means of vectors and matrices and how are systems of linear equations solved?
What is coordinate system and coordinate transformation?
What applications does linear algebra have?
How are graphs defined, classified and utilised in problem-solving?
How are finite state machines and automata defined and utilised in applications?

Opiskelumateriaali

To be settled at the course kick off.

Yksilölliset oppimisväylät

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

TKI ja työelämäyhteistyö

To be settled at the course kick off.

Tentit ja muut määräajat

To be settled at the course kick off.

Opiskelijan työmäärä

135 h

Evaluation scale

1-5

Assessment methods and criteria

To be settled at the course kick off.

Qualifications

Discrete mathematics 1 or equivalent knowledge