Mat3 TukiopinnotLaajuus (1 op)
Tunnus: TZMV3100
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 opintojakson Mat 3 Derivaatta ja integraali rinnalla. Opintojaksolla saat tukea opiskeluusi ja harjoittelet ohjatusti Mat 3 Derivaatta ja integraali -opintojakson sisällön hallintaa.
Opintojakson osaamiset
Opintojaksolla edistetään ja arvioidaan ymmärrystä insinööritieteiden pohjana olevista matemaattisista periaatteista derivaatan ja integraalin käsitteiden 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 Mat3 Derivaatta ja integraali sisältöihin liittyvää osaamistasi.
Sisältö
Opintojaksolla saat varmuutta laskurutiineihin sekä vahvistat ymmärrystäsi derivaatan ja integraalin käsitteistä eri tyyppisten harjoitustehtävien avulla.
Esitietovaatimukset
Ymmärrät funktion käsitteen ja funktioihin liittyvät merkinnät ja osaat ratkaista yksinkertaisia alkeisfunktioihin liittyviä tehtäviä tarvittaessa apuvälineen avulla.
Arviointikriteeri, hyväksytty/hylätty
Tunnet derivaatan ja integraalin käsitteiden geometrisen ja fysikaalisen tulkinnan. Osaat derivoida ja integroida polynomin tarvittaessa apuvälineen avulla sekä arvioida derivaatan ja integraalin arvoja, kun käytössäsi on funktion kuvaaja.
Enrollment
01.08.2024 - 22.08.2024
Timing
02.09.2024 - 01.12.2024
Number of ECTS credits allocated
1 op
Mode of delivery
Face-to-face
Unit
School of Technology
Campus
Main Campus
Teaching languages
- English
Seats
20 - 44
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
TLP24VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
TLP23S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
Objective
Course purpose
This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.
Course competences
During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
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 (EA-KW).
Learning outcomes
After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.
Content
During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.
Location and time
Course is implemented in 2.9. - 1.12. The course is intended to be studied together with the implementation TZLM3300-3084.
Oppimateriaali ja suositeltava kirjallisuus
Text files in the learning environment
Teaching methods
Guided exercises
Exam schedules
Schedule is given on the first page of the learning environment
Student workload
Lectures face-to-face 12 h. Independent work 15 h.
Further information
You have to submit your calculations
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.
Qualifications
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.
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 19.12.2023
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 - 30
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Kalle Niemi
Groups
-
TLP22S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
-
TLP23VSBachelor'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 Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.
Course competences
During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
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 (EA-KW).
Learning outcomes
After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.
Content
During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.
Location and time
Course is implemented in 30.10. - 10.12.2023. The course is intended to be studied together with the implementation TZLM3300-3068.
Oppimateriaali ja suositeltava kirjallisuus
Text files in the learning environment
Teaching methods
Guided exercises
Exam schedules
Schedule is given on the first page of the learning environment
Student workload
Lectures face-to-face 12 h. Independent work 15 h.
Further information
You have to submit your calculations
Evaluation scale
Pass/Fail
Assessment criteria, approved/failed
You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.
Qualifications
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.
Enrollment
01.08.2022 - 25.08.2022
Timing
29.08.2022 - 14.10.2022
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 - 30
Degree programmes
- Bachelor's Degree Programme in Purchasing and Logistics Engineering
Teachers
- Ida Arhosalo
Teacher in charge
Ida Arhosalo
Groups
-
TLP22VSBachelor's Degree Programme in Purchasing and Logistics Engineering (AMK) vaihto-opiskelu/Exchange studies
-
TLP21S1Bachelor's Degree Programme in Purchasing and Logistics Engineering
Objective
Course purpose
This course is meant to be taken simultaneously with Math3 Derivative and Integral. On this course you receive support in your studies and rehearse the contents of Math3 Derivative and Integral with guidance.
Course competences
During this course you further your knowledge of mathematical principles underlying engineering with regard to the derivative and the integral.
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 (EA-KW).
Learning outcomes
After completing this course you have increased and strengthened your knowledge about the contents of Math3 Derivative and Integral course.
Content
During this course you develop your competence with calculation routines. You practice and strengthen your knowledge about the concepts of the derivative and the integral with different types of exercises.
Location and time
One session per week,6 sessions during weeks 35-41.
Oppimateriaali ja suositeltava kirjallisuus
Same as on Math1 Equations course
Teaching methods
Face-to-face lessons and self studying
Exam schedules
Detailed information is given on first contact lesson.
Student workload
10-15 h contact lessons
12-17 h self studying
Evaluation scale
0-5
Assessment criteria, approved/failed
You know the physical and geometric interpretation of the derivative and the integral. You are able to differentiate polynomial expressions with the help of information technology if necessary. You are able to estimate values of derivatives and integrals when you have a graph of a function at your disposal.
Qualifications
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.