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Numbers and Expressions (5 cr)

Code: BIY6006-3002

General information

Enrollment: 01.04.2021 - 30.09.2021; Registration for the implementation has ended.

Timing: 24.08.2021 - 13.03.2022; Implementation has ended.

Number of ECTS credits allocated: 5 cr

Local portion: 5 cr

Mode of delivery: Contact learning

Unit: Insinöörikoulutus / Energia- ja ympäristötekniikka (IE)

Campus: Wärtsilä Campus Karjalankatu 3

Teaching languages: Finnish

Seats: 20 - 45

Degree programmes: Degree Programme in Energy and Environmental Engineering

Teachers: Lisbeth Smolander

Teacher in charge: Lisbeth Smolander

Groups: IENS21
Engineer, Energy and Environmental Engineering, Full-Time Studies, Fall, 2021

Course: BIY6006

Evaluation scale

H-5

Objective

You can do basic algebra and use your calculator. Basic algebra with powers and roots. Linear equations and groups, solving with traditional and new methods. Mathematical programs for the big problems.

Content

Location and time

Ensimmäisen opiskeluvuoden syksy (syksy 2021)

Materials

• Tuomilehto, Holmlund, Huuskonen, Makkonen, Surakka: Insinöörin matematiikka, Edita, ISBN
978-951-37-6352-7.
• Antti Majaniemi: Algebra I, Tietokotka Oy, ISBN: 978-951-559-261-3.
• Antti Majaniemi: Geometria, trigonometria ja vektorialgebra, Tietokotka Oy, ISBN
978-951-559-266-8.
• Opettajan materiaalit Moodlessa.
• Nspire-laskin.

Teaching methods

Luentoja, harjoituksia sekä itsenäistä opiskelua oman alan sovelluksissa hyödynnettävistä
matemaattisista menetelmistä:
• peruslaskutoimitukset ja lausekkeen sieventäminen
• yhtälöt ja yhtälöparit
• trigonometriaa
• funktiot
• vektorilaskennan perusteet
Opinnon aikana tehdään myös 5-6 viikkokoetta.

Exam schedules

Viikkokokeiden ajankohdat sovitaan tunneilla etenemisen mukaan. Loppukoe joulukuussa 2021 opettajan kanssa sovittavana aikana. Samalla sisällöllä kokeen voi uusia kaksi kertaa 15.5.2022 asti. Tätä opintoa ei voi suorittaa EXAMissa, joten uusintakokeesta sovitaan erikseen opettajan kanssa.

Completion alternatives

Opinnon voi suorittaa myös loppukokeella.

Student workload

• Luentoja ja harjoituksia 56 tuntia
• Itsenäistä opiskelua 79 tuntia
• Yhteensä 135 tuntia