Mat2 TukiopinnotLaajuus (1 op)
Tunnus: TZMV2100
Laajuus
1 op
Opetuskieli
- suomi
- englanti
Vastuuhenkilö
- Anne Rantakaulio, TKN
- Antti Kosonen, TER, TRY, TRM
- Ida Arhosalo, TSA, TAR
- Harri Varpanen, TIC
- Pekka Varis, TTV
- Kalle Niemi, TLS, TLP
Osaamistavoitteet
Opintojakson tarkoitus
Opintojakso on tarkoitettu suoritettavaksi Mat2 Funktiot -opintojakson rinnalla. Opintojaksolla saat tukea opiskeluusi ja harjoittelet ohjatusti Funktiot-opintojakson sisällön hallintaa.
Opintojakson osaamiset
Opintojaksolla edistetään ja arvioidaan ymmärrystä insinööritieteiden pohjana olevista matemaattisista periaatteista funktioiden osalta.
EUR-ACE: Tieto ja ymmärrys
Sinulla on tieto ja ymmärrys oman teknisen erikoistumisalasi matemaattisista ja luonnontieteellisistä perusteista tasolla, joka on tarpeen ohjelman muiden oppimistavoitteiden saavuttamiseksi.
Opintojakson osaamistavoite
Opintojakson suoritettuasi olet lisännyt ja vahvistanut opintojakson Mat2 Funktiot sisältöihin liittyvää osaamistasi.
Sisältö
Opintojaksolla saat varmuutta laskurutiineihin. Eri funktiotyyppeihin liittyvien tehtävien avulla harjoittelet ja vahvistat osaamistasi funktioiden tunnistamisessa, funktioiden ominaisuuksien ymmärtämisessä, funktion lausekkeen määrittämisessä sekä funktioihin liittyvien yhtälöiden ratkaisemisessa.
Esitietovaatimukset
Tunnet symbolisten lausekkeiden käsittelyyn liittyvät algebran periaatteet ja osaat soveltaa niitä yksinkertaisten lausekkeiden sieventämiseen sekä yksinkertaisten yhtälöiden ratkaisemiseen.
Arviointikriteeri, hyväksytty/hylätty
Ymmärrät funktion käsitteen ja funktioihin liittyvät merkinnät ja osaat ratkaista yksinkertaisia alkeisfunktioihin liittyviä tehtäviä tarvittaessa apuvälineen avulla.
Enrollment
20.11.2023 - 14.01.2024
Timing
11.03.2024 - 19.04.2024
Number of ECTS credits allocated
1 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
TLP23VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
TLP24VKBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
ZJATLP23S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP23S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
Objective
Course purpose
This course is meant to be taken simultaneously with Math2 Functions. On this course you receive support in your studies and rehearse the contents of Math2 Functions with guidance.
Course competences
During this course you further your knowledge of mathematical principles underlying engineering with regard to functions.
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you have increased and strengthened your knowledge about the contents of Math1 Equations course.
Content
During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about recognising functions, understanding the properties of different functions, determining the expression of a function and solving function-related equations.
Location and time
Course is implemented between 8.1.2024 - 23.2.2024. One lesson (90min) per week during weeks 11-16.
Oppimateriaali ja suositeltava kirjallisuus
Material available in course workspace
Teaching methods
This course is intended to be taken at the same time with Math2 Functions TZLM2300-3075.
Guided excercises
Exam schedules
Agreed on the first meeting
Student workload
27 h
Further information
Assessment is based on sets of exercises.
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.
Qualifications
You recognise algebraic principles regarding the manipulation of symbolic expressions and are able to apply them to simplify simple expressions and solve simple equations.
Enrollment
01.11.2022 - 05.01.2023
Timing
09.01.2023 - 19.05.2023
Number of ECTS credits allocated
1 op
Mode of delivery
Face-to-face
Unit
School of Technology
Teaching languages
- English
Seats
0 - 20
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
TLP23VKBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
TLP22S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
ZJATLP22S1Avoin amk, Purchasing and Logistics Engineering, Päivä
-
TLP22VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
Objective
Course purpose
This course is meant to be taken simultaneously with Math2 Functions. On this course you receive support in your studies and rehearse the contents of Math2 Functions with guidance.
Course competences
During this course you further your knowledge of mathematical principles underlying engineering with regard to functions.
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you have increased and strengthened your knowledge about the contents of Math1 Equations course.
Content
During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about recognising functions, understanding the properties of different functions, determining the expression of a function and solving function-related equations.
Location and time
One session per week, approximately 6 sessions during weeks 2-16.
Oppimateriaali ja suositeltava kirjallisuus
Same as on Math1 Equations course
Teaching methods
This course is intended to be taken at the same time with Math2 Functions TZLM2300-3051.
Guided exercises, independent work.
Vaihtoehtoiset suoritustavat
Detailed information is given on first contact lesson.
Student workload
10-15 h contact lessons
12-17 h self studying
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.
Qualifications
You recognise algebraic principles regarding the manipulation of symbolic expressions and are able to apply them to simplify simple expressions and solve simple equations.
Enrollment
01.11.2021 - 23.01.2022
Timing
10.01.2022 - 29.04.2022
Number of ECTS credits allocated
1 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Teacher in charge
Ida Arhosalo
Groups
-
TLP21S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
TLP21VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
ZJA21STPPLPAvoina amk, tekniikka, Logistics and purchasing, päivä
-
TLP22VKBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
Objective
Course purpose
This course is meant to be taken simultaneously with Math2 Functions. On this course you receive support in your studies and rehearse the contents of Math2 Functions with guidance.
Course competences
During this course you further your knowledge of mathematical principles underlying engineering with regard to functions.
EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.
Learning outcomes
After completing this course you have increased and strengthened your knowledge about the contents of Math1 Equations course.
Content
During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about recognising functions, understanding the properties of different functions, determining the expression of a function and solving function-related equations.
Location and time
One session per week, approximately 7 sessions during weeks 2-14
Oppimateriaali ja suositeltava kirjallisuus
Same as on Math1 Equations course
Teaching methods
Contact/online lessons and self studying
Vaihtoehtoiset suoritustavat
Detailed information is given on first contact lesson.
Student workload
10-15 h contact lessons
12-17 h self studying
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You understand the concept of a function and notation of functions and are able to solve simple tasks related to elementary functions, using information technology if necessary.
Qualifications
You recognise algebraic principles regarding the manipulation of symbolic expressions and are able to apply them to simplify simple expressions and solve simple equations.