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

Lecture notes, homework and MATLAB exercises will be published in Itslearning.

Opetusmenetelmät

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

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

Tenttien ajankohdat ja uusintamahdollisuudet

Midterm exam, on Part 1 on week 7, retake on week 9.
Midterm exam, part 2 on week 15, retakes on week 16. 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

Lessons 46 h
Exams + preparing for them 20 h
Self-study (homework, installing and learning Matlab etc.) 70 h so approx. 6 h per week.

Sisällön jaksotus

Spring semester 2024, according to the schedule.
Part 1, weeks 2-9
Part 2, weeks 10-16

Viestintäkanava ja lisätietoja

We use MATLAB, for which TUAS has a campus licence. You can to download it to your own device or use MATLAB online.

Taking the self-study course MATLAB Basics for ICT is highly recommended prior to the start of Sequences and Series part (Part 2).

Arviointiasteikko

H-5

Arviointimenetelmät ja arvioinnin perusteet

Submit in time at least 25 % of the homework/exercises for both modules.

Active participation in classroom and exercise sessions (at least 75 % attendance for both modules).

Achieve at least 6/15 points in both Midterm exams or retakes.

Hylätty (0)

Less than 25 % of homework exercises submitted in time.
More than 25 % (unauthorized) non-attendance from lectures and exercise sessions.
Less than 6/15 points in one or both of the Midterm exams or retakes.

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.

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