Opinto-opas

Tavoitteet

Opintojakson suoritettuaan opiskelija osaa
- soveltaa logiikan sääntöjä ja merkintöjä
- laskea ja soveltaa permutaatioita ja kombinaatioita
- soveltaa jaollisuuden ja kongruenssin käsitteitä ja ominaisuuksia
- käsitellä aritmeettisia ja geometrisia lukujonoja ja summia
- laskea suppenevan geometrisen sarjan summan
- muodostaa Taylorin polynomeja ja soveltaa niitä numeerisessa laskemisessa
- laskea Fourier-sarjojen kertoimia matematiikkaohjelmien avulla

Sisältö

- Logiikan perusteita
- Lukuteorian perusteita ja sovelluksia
- Kombinatoriikan perusteita ja sovelluksia
- Lukujono ja sarja
- Taylorin sarja
- Fourier-sarja

Oppimateriaalit

All course materials will be published in Itslearning.
We use MATLAB, for which TUAS has a campus licence. You can download it to your own device for free or use MATLAB Online version.
Taking the self-study course MATLAB Basics for ICT is highly recommended prior to the start of Sequences and Series part (Part 2).

Opetusmenetelmät

Part 1, Logic, combinatorics and number theory:
lectures, homework, self-study, exam

Part 2, Sequences and series:
lectures, MATLAB exercises/homework, self-study, exam

Tenttien ajankohdat ja uusintamahdollisuudet

The midterm exam for Part 1 is in week 9, first retake in week 10.
The midterm exam for Part 2 is in week 15-16, first retake in week 17-18.
The final retake exam for both parts is in week 19.
Exact dates and times in the schedule.

Note. Homework and exercises must be submitted in time, there is no way to complement or "retake" them later.

Opiskelijan ajankäyttö ja kuormitus

Part 1:
Intro 1h
Lectures 9*2h
Exam 2h
Self-study (homework, preparing for exams etc.) ~46h.

Part 2:
Lectures 5*2h
Homework sessions 5*2h (Mandatory attendance)
Exam 2h
Self-study (homework, installing and learning Matlab, preparing for exams etc.) ~46h.

Sisällön jaksotus

Spring semester 2025, according to the schedule.
Part 1, weeks 3-9
Part 2, weeks 10-18

Viestintäkanava ja lisätietoja

Itslearning and email

Arviointiasteikko

H-5

Arviointimenetelmät ja arvioinnin perusteet

Achieve at least 40% of the points in both Midterm exams or retakes.
Submit at least 25% of the MATLAB exercises in Part 2 is mandatory to pass the course.
A minimum of 80% attendance is mandatory for Part 2 homework sessions during weeks 10-14.

Additional points from homework will improve your grade.

Hylätty (0)

Less than 40% of the points in one or both of the Midterm exams or retakes.
Less than 25% of the MATLAB exercises submitted.
More than 20% (unauthorized) non-attendance from Part 2 homework sessions.

Student has not demonstrated achieving the learning objectives of the course. They recognize and can use only few of the concepts of the course topics, and show no skills to apply them.

The course will also be failed if any academic misconduct is detected in the student's performance. The first detected instance of misconduct or an attempt at misconduct will result in the rejection of the individual exam or assignment. The second detected instance will lead to the failure of the entire course.

Arviointikriteerit, tyydyttävä (1-2)

Student has demonstrated having achieved the learning objectives of the course on satisfactory level. They recognize and can to some extent use most of the concepts of the course topics.

Arviointikriteerit, hyvä (3-4)

Student has demonstrated having achieved the learning objectives of the course well.
They recognize and can use most of the concepts of the course topics, and are able to apply them on various study and work contexts.

Arviointikriteerit, kiitettävä (5)

Student has demonstrated having achieved the learning objectives of the course on excellent level. They master the concepts of the course topics, and are able to fluently apply them on study and work contexts.

Esitietovaatimukset

Tieto- ja viestintätekniikan koulutuksen edeltävät matematiikan opintojaksot (tai vastaavat tiedot ja taidot):
Insinöörimatematiikan perusteet
Calculus