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Discrete mathematics 2Laajuus (5 cr)

Code: TK00BK51

Credits

5 op

Teaching language

  • Finnish
  • English

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?

Qualifications

Discrete mathematics 1 or equivalent knowledge

Enrollment

04.11.2024 - 17.11.2024

Timing

13.01.2025 - 02.05.2025

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • English
Seats

20 - 40

Degree programmes
  • Degree Programme in Information Technology
Teachers
  • Reijo Vuohelainen
Teacher in charge

Jari Kortelainen

Groups
  • ITMI23SP
    Information technology, full-time studies

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

Seymour Lipschutz, Essential Computer Mathematics, Schaum's Outline Series, McGraw-Hill 1982 or 1987. Additional material in Learn.

Yksilölliset oppimisväylät

The course will be contact teaching on the campus and you follow the weekly schedules. Theory lectures, homework and final exam.

TKI ja työelämäyhteistyö

No pre-planned co-operation.

Tentit ja muut määräajat

Final exam is at the end of the course. The actual date and time will be given on weekly schedule.

Kansainvälinen yhteistyö

No prepared co-operation.

Opiskelijan työmäärä

The five point course is counted to be 135 hours for students work. Theory lectures, homework and the final exam.

Evaluation scale

1-5

Assessment methods and criteria

Evaluation is based on the final exam. Extra points from activity as described on Learn.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Enrollment

04.11.2024 - 17.11.2024

Timing

13.01.2025 - 30.04.2025

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • Finnish
Seats

20 - 35

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Teemu Saarelainen
Teacher in charge

Tiina Kettunen

Groups
  • PTKT24KP
    Game technologies, full-time studies

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

Course handout (PDF), other electronic material, and web materials, which will be published on the course's learning platform. The exercises and their model answers will be provided to students during the weekly exercises.

Yksilölliset oppimisväylät

The teaching will be conducted as in-person instruction, meaning the student will participate in on-site activities according to the schedule. The student will complete the required exercises for the course as per the timeline, prepare to present their solutions in weekly exercises, and take part in midterm exams during the course. The course can also be completed solely through an exam.

Alternative methods of completion must be agreed upon with the course instructor before the course begins.

TKI ja työelämäyhteistyö

This course does not include RDI (Research, Development, and Innovation) or workplace collaboration.

Tentit ja muut määräajat

Laskuharjoitukset tehdään ja palautetaan niille annettuun määräaikaan mennssä. Myöhästyneitä palautuksia ei oteta vastaan. Välikokeet ja/tai tentti sovitaan yhdessä opiskelijoiden kanssa.

Kansainvälinen yhteistyö

Tällä kurssilla ei ole kansainvälistä yhteistyötä.

Opiskelijan työmäärä

Opintojakson laajuus on 5 op, mikä tarkoittaa yhteensä 135h opiskelijan työtä. Tästä noin 60h on ohjattua työskentelyä ja 75h itsenäistä työskentelyä.

Further information

Opintojaksolla opetellaan tietotekniikassa ja erityisesti pelimatematiikassa tarvittavia matemaattisia käsitteitä, joten opiskelijalta edellytetään hyviä matemattisia valmiuksia sekä algebran osaamista.

Evaluation scale

1-5

Assessment methods and criteria

Arviointi perustuu kurssilla läsnäoloon ja aktiivisuuteen, hyväksyttävästi suoritettaviin laskuharjoituksiin, niistä saatuihin pisteisiin sekä välikokeisiin tai pelkästään tenttiin.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Enrollment

04.11.2024 - 17.11.2024

Timing

13.01.2025 - 11.05.2025

Number of ECTS credits allocated

5 op

Virtual portion

5 op

Mode of delivery

Distance learning

Unit

Department of Information Technology

Campus
  • Mikkeli Campus
  • Ecampus
Teaching languages
  • Finnish
Seats

20 - 60

Degree programmes
  • Degree Programme in Business Information Technology
Teachers
  • Reijo Vuohelainen
Teacher in charge

Jari Kortelainen

Groups
  • TKMI24KV
    Business Information Technology , online studies

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

Seymour Lipschutz, Essential Computer Mathematics, Schaum's Outline Series, McGraw-Hill 1982 or 1987. Additional material in Learn.

Yksilölliset oppimisväylät

Opintojakson materiaalit ovat Learnissa ja opintojakso pohjautuu oppikirjaan. Etenet oppikirjasta valittujen tehtävien ohjaamana itsenäisesti. Opintojakson aikana palautat Learn alustalle kahdet arvioitavat tehtävät oppimispäiväkirja -tyylisesti raportoituna.
Opintojaksolla on kaksi verkkokokousta, jossa voi esittää kysymyksiä ja lasketaan esimerkkejä.

TKI ja työelämäyhteistyö

Tällä toteutuksella ei ole suunniteltua työelämäyhteyttä.

Tentit ja muut määräajat

Opintojakso arvioidaan palautettavien tehtävien raportilla. Raportoinnin tarkemmat ohjeet ja tehtävät julkaistaan Learn alustalla opintojakson alussa. Raportit palautetaan syysloman edellä ja joulun alla, tarkemmat päivämäärät katsotaan toteutuskohtaisesti ja ilmoitetaan Learn alustalla.

Kansainvälinen yhteistyö

Ei suunniteltua yhteistyötä.

Opiskelijan työmäärä

135 h.

Evaluation scale

1-5

Assessment methods and criteria

Raportoinnin tarkkuus ja selkeys, asioiden ymmärtämisen esittäminen oppimispäiväkirjassa.

Qualifications

Discrete mathematics 1 or equivalent knowledge

Enrollment

08.04.2024 - 21.04.2024

Timing

02.09.2024 - 20.12.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • Finnish
Seats

20 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Reijo Vuohelainen
Groups
  • OTMI23SP
    Software Engineering, full-time studies

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

Enrollment

08.04.2024 - 21.04.2024

Timing

26.08.2024 - 15.12.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • English
  • Finnish
Seats

20 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Teemu Saarelainen
Teacher in charge

Teemu Saarelainen

Groups
  • POKT23SP
    Game programming, full-time studies

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

Enrollment

08.04.2024 - 21.04.2024

Timing

26.08.2024 - 22.12.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • English
  • Finnish
Seats

20 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Teemu Saarelainen
Teacher in charge

Teemu Saarelainen

Groups
  • PTKT23SP
    Game technologies, full-time studies

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

Enrollment

08.04.2024 - 21.04.2024

Timing

19.08.2024 - 22.12.2024

Number of ECTS credits allocated

5 op

Virtual portion

5 op

Mode of delivery

Distance learning

Unit

Department of Information Technology

Campus

Ecampus

Teaching languages
  • Finnish
Seats

20 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Reijo Vuohelainen
Teacher in charge

Jari Kortelainen

Groups
  • TKMI23SV
    Business Information Technology , online studies

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

Seymour Lipschutz, Essential Computer Mathematics, Schaum's Outline Series, McGraw-Hill 1982 or 1987. Additional material in Learn.

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

Enrollment

06.11.2023 - 17.11.2023

Timing

08.01.2024 - 26.04.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • English
Seats

1 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • ITMI22SP
    Information technology, full-time studies

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

Enrollment

06.11.2023 - 17.11.2023

Timing

08.01.2024 - 12.05.2024

Number of ECTS credits allocated

5 op

Virtual portion

5 op

Mode of delivery

Distance learning

Unit

Department of Information Technology

Campus

Ecampus

Teaching languages
  • Finnish
Seats

1 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • TKMI23KV
    Business Information Technology , online studies

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

Enrollment

06.04.2023 - 21.04.2023

Timing

28.08.2023 - 17.12.2023

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • English
  • Finnish
Seats

1 - 50

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Teemu Saarelainen
Teacher in charge

Tiina Kettunen

Groups
  • PTKT22SP
    Game technologies, full-time studies

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

Enrollment

06.04.2023 - 21.04.2023

Timing

21.08.2023 - 17.12.2023

Number of ECTS credits allocated

5 op

Virtual portion

2 op

RDI portion

1 op

Mode of delivery

60 % Contact teaching, 40 % Distance learning

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • English
  • Finnish
Seats

25 - 35

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Teemu Saarelainen
Teacher in charge

Teemu Saarelainen

Groups
  • POKT22SP
    Game programming, full-time studies

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

Enrollment

06.04.2023 - 21.04.2023

Timing

14.08.2023 - 17.12.2023

Number of ECTS credits allocated

5 op

Virtual portion

5 op

Mode of delivery

Distance learning

Unit

Department of Information Technology

Campus

Ecampus

Teaching languages
  • Finnish
Seats

1 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • TKMI22SV
    Business Information Technology , online studies

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

Enrollment

06.04.2023 - 21.04.2023

Timing

01.08.2023 - 31.12.2023

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • Finnish
Seats

1 - 40

Degree programmes
  • Ohjelmistotekniikan koulutus
Teachers
  • Jari Kortelainen
Groups
  • OTMI22SP
    Software Engineering, full-time studies

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

Enrollment

07.11.2022 - 18.11.2022

Timing

09.01.2023 - 28.04.2023

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • English
Seats

20 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • ITMI21SP
    Information technology, full-time studies

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

Enrollment

07.11.2022 - 18.11.2022

Timing

09.01.2023 - 14.05.2023

Number of ECTS credits allocated

5 op

Virtual portion

5 op

Mode of delivery

Distance learning

Unit

Department of Information Technology

Campus

Ecampus

Teaching languages
  • Finnish
Seats

1 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • TKMI22KV
    Business Information Technology, online studies

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

Enrollment

06.04.2022 - 22.04.2022

Timing

29.08.2022 - 09.12.2022

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Kotka Campus

Teaching languages
  • Finnish
Seats

12 - 60

Degree programmes
  • Degree Programme in Game Programming
Teachers
  • Henry Lähteenmäki
Teacher in charge

Teemu Saarelainen

Groups
  • POKT21SP
    Game programming, full-time studies

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

Enrollment

06.04.2022 - 22.04.2022

Timing

29.08.2022 - 04.11.2022

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • Finnish
Seats

10 - 40

Degree programmes
  • Degree programme in software engineering
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • OTMI21SP
    Software Engineering, full-time studies

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

Enrollment

06.04.2022 - 22.04.2022

Timing

15.08.2022 - 18.12.2022

Number of ECTS credits allocated

5 op

Virtual portion

5 op

Mode of delivery

Distance learning

Unit

Department of Information Technology

Campus

Ecampus

Teaching languages
  • Finnish
Seats

10 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • TKMI21SV
    Business Information Technology, online studies

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

Enrollment

08.11.2021 - 21.11.2021

Timing

10.01.2022 - 29.04.2022

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Department of Information Technology

Campus

Mikkeli Campus

Teaching languages
  • English
Seats

20 - 40

Degree programmes
  • Degree Programme in Business Information Technology
  • Degree Programme in Information Technology
Teachers
  • Jari Kortelainen
Teacher in charge

Jari Kortelainen

Groups
  • ITMI20SP
    Information technology, full-time studies

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