TalousmatematiikkaLaajuus (3 op)
Tunnus: TZLM8300
Laajuus
3 op
Opetuskieli
- suomi
- englanti
Vastuuhenkilö
- Pasi Lehtola
- Antti Kosonen
Osaamistavoitteet
Opintojakson tarkoitus
Opintojaksolla tutustut yritystalouden matemaattisiin perusteisiin. Ymmärrät rahan arvon ja opit arvioimaan toiminnan kannattavuutta tekemällä taloudellisia laskelmia.
Opintojakson osaamistavoite
Tunnet insinöörille tärkeät talousmatematiikan peruskäsitteet ja menetelmät. Osaat tehdä korko-, indeksi-, rahoitus-, investointi- ja elinkaarikustannuslaskelmia taulukkolaskentaohjelmalla ja arvioida niiden avulla toiminnan kannattavuutta.
Sisältö
Rahan arvon muutos ja indeksien käyttö
Korko, diskontto ja jaksolliset suoritukset
Rahoituslaskelmat
Investointilaskelmt
Elinkaarikustannusten laskeminen
Kaluston optimaalinen pitoaika
Excelin käyttö
Esitietovaatimukset
Taulukkolaskentaohjelman peruskäyttö
Arviointikriteerit, tyydyttävä (1)
Välttävä 1
Olet saavuttanut tavoitellut osaamiset. Tunnet joitakin käsitteitä ja menetelmiä ja osaat soveltaa niitä itsellesi tutuissa tilanteissa, mutta usein päättelysi on puutteellista ja laskelmasi virheellisiä.
Tyydyttävä 2
Olet saavuttanut tavoitellut osaamiset. Tunnet useita käsitteitä ja menetelmiä ja osaat soveltaa niitä itsellesi tutuissa tilanteissa, mutta joskus päättelysi on puutteellista tai laskelmasi virheellisiä.
Arviointikriteerit, hyvä (3)
Hyvä 3
Olet saavuttanut tavoitellut osaamiset. Tunnet lähes kaikki käsitteet ja menetelmät ja osaat soveltaa niitä itsellesi tutuissa tilanteissa usein täydellisesti päätellen ja virheettömästi laskien.
Kiitettävä 4
Olet saavuttanut tavoitellut osaamiset. Tunnet lähes kaikki käsitteet ja menetelmät ja osaat soveltaa niitä myös itsellesi uusissa tilanteissa lähes aina täydellisesti päätellen ja virheettömästi laskien.
Arviointikriteerit, kiitettävä (5)
Erinomainen 5
Olet saavuttanut tavoitellut osaamiset. Tunnet kaikki käsitteet ja menetelmät ja osaat soveltaa niitä itsellesi uusissa tilanteissa asioita yhdistellen, täydellisesti päätellen ja virheettömästi laskien.
Enrollment
01.08.2024 - 22.08.2024
Timing
02.09.2024 - 08.12.2024
Number of ECTS credits allocated
3 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
- Antti Kosonen
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
Purpose
You get to know the mathematical principles of business economy. You understand the time value of money. You are able to estimate the profitability of operations by using financial calculations.
Learning outcomes
You know the basic concepts and methods in business economy used by engineers. You can perform calculations involved with interest, indexes, financing, investment and life cycle cost by using spreadsheets and make estimates based on them about the economic worth of operations.
Content
Time value of money. Using indexes.
Interest, discounting and recurring amounts
Financial calculations
Investment calculations
Life cycle cost calculations
Optimal replacement time of equipment
Using Excel
Location and time
The course is implemented from September 2, 2024, to December 8, 2024.
Oppimateriaali ja suositeltava kirjallisuus
Learning material prepared by teacher.
Books in Finnish:
- Saaranen, P., Kolttola, E. & Pösö, J. 2016. Liike-elämän matematiikka. 11. uudistettu painos. Helsinki: Edita.
- Pulkkinen, P. & Holopainen, M. 2006. Talous- ja rahoitusmatematiikka. 4. uud. p. Helsinki: WSOY oppimateriaalit.
Books in English:
- Park, C. S. 2019. Fundamentals of engineering economics. Fourth edition, Global edition. NY, NY: Pearson.
- Newnan, D. G., Eschenbach, T. G. & Lavelle, J. P. 2016. Engineering economic analysis. International twelfth edition. New York: Oxford University Press.
- Farr, J. V. & Faber, I. 2021. Engineering Economics of Life Cycle Cost Analysis. Boca Raton, FL: CRC Press.
Teaching methods
Flipped learning: The theory is studied independently using written material and instructional videos before the weekly lesson. During the weekly contact session, the focus is on problem-solving exercises and personal guidance. Attendance is mandatory at the weekly sessions.
Active participation in solving exercise tasks is necessary to achieve the learning objectives.
Employer connections
-
Exam schedules
Exams will be held during the week starting on December 2nd.
The first retake session will begin on the week starting on January 13, 2025.
The second retake session will begin on the week starting on February 3, 2025.
International connections
-
Vaihtoehtoiset suoritustavat
- Hybrid implementation in Finnish in the fall of 2024 or the spring of 2025
- Online implementation in Finnish in the spring of 2024
- Face-to-face implementation in English in the fall of 2024
Student workload
3cr = 3*27h = 81h, of which...
- lessons approximately 18h
- exams approximately 4h
- independent studying approximately 59h
Content scheduling
More precise timing will be presented in the beginning of the course, but the topics will be discussed more or less in the following order:
- profit margin calculations
- indices and inflation
- simple interest
- compound interest
- periodic payments
- financial calculations
- investment calculations
Further information
Final exam in two parts. Part 1 determines whether you pass or fail, part 2 determines your grade.
If a student enrolled in the course does not show activity within three weeks of the start of the course, the enrollment will be rejected.
Evaluation scale
0-5
Arviointikriteerit, tyydyttävä (1-2)
Sufficient 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.
Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.
Arviointikriteerit, hyvä (3-4)
Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly
Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.
Assessment criteria, excellent (5)
Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.
Qualifications
Basic use of spreadsheets
Enrollment
01.08.2023 - 24.08.2023
Timing
28.08.2023 - 19.12.2023
Number of ECTS credits allocated
3 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
- Antti Kosonen
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
Purpose
You get to know the mathematical principles of business economy. You understand the time value of money. You are able to estimate the profitability of operations by using financial calculations.
Learning outcomes
You know the basic concepts and methods in business economy used by engineers. You can perform calculations involved with interest, indexes, financing, investment and life cycle cost by using spreadsheets and make estimates based on them about the economic worth of operations.
Content
Time value of money. Using indexes.
Interest, discounting and recurring amounts
Financial calculations
Investment calculations
Life cycle cost calculations
Optimal replacement time of equipment
Using Excel
Location and time
This implementation takes place 28.8.2023 - 5.11.2023.
Oppimateriaali ja suositeltava kirjallisuus
Learning material prepared by teacher.
Books in Finnish:
- Saaranen, P., Kolttola, E. & Pösö, J. 2016. Liike-elämän matematiikka. 11. uudistettu painos. Helsinki: Edita.
- Pulkkinen, P. & Holopainen, M. 2006. Talous- ja rahoitusmatematiikka. 4. uud. p. Helsinki: WSOY oppimateriaalit.
Books in English:
- Park, C. S. 2019. Fundamentals of engineering economics. Fourth edition, Global edition. NY, NY: Pearson.
- Newnan, D. G., Eschenbach, T. G. & Lavelle, J. P. 2016. Engineering economic analysis. International twelfth edition. New York: Oxford University Press.
- Farr, J. V. & Faber, I. 2021. Engineering Economics of Life Cycle Cost Analysis. Boca Raton, FL: CRC Press.
Teaching methods
Face-to-face learning: Lectures at the Rajakatu campus, exercises and independent studying.
Employer connections
-
Exam schedules
The exams will take place at:
- Lessons of the week starting on 30.11.
- First resit 22.11.2023
- Second resit 13.12.2023
International connections
-
Vaihtoehtoiset suoritustavat
- Online implementation in Finnish in the fall of 2023 or in the spring of 2024
- Hybrid implementation in Finnish in the fall of 2023 or the spring of 2024
- Face-to-face implementation in Finnish in the fall of 2023
Student workload
3cr = 3*27h = 81h, of which...
- lessons approximately 24h
- exams approximately 4h
- independent studying approximately 53h
Content scheduling
More precise timing will be presented in the beginning of the course, but the topics will be discussed more or less in the following order:
- indices and inflation
- simple interest
- compound interest
- periodic payments
- financial calculations
- investment profitability calculations
- comparison of investment alternatives
- profit margin calculations
Further information
Final exam in two parts. Part 1 determines whether you pass or fail, part 2 determines your grade.
Evaluation scale
0-5
Arviointikriteerit, tyydyttävä (1-2)
Sufficient 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.
Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.
Arviointikriteerit, hyvä (3-4)
Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly
Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.
Assessment criteria, excellent (5)
Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.
Qualifications
Basic use of spreadsheets
Enrollment
01.08.2022 - 24.10.2022
Timing
31.10.2022 - 18.12.2022
Number of ECTS credits allocated
3 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
- Antti Kosonen
Teacher in charge
Antti Kosonen
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
Purpose
You get to know the mathematical principles of business economy. You understand the time value of money. You are able to estimate the profitability of operations by using financial calculations.
Learning outcomes
You know the basic concepts and methods in business economy used by engineers. You can perform calculations involved with interest, indexes, financing, investment and life cycle cost by using spreadsheets and make estimates based on them about the economic worth of operations.
Content
Time value of money. Using indexes.
Interest, discounting and recurring amounts
Financial calculations
Investment calculations
Life cycle cost calculations
Optimal replacement time of equipment
Using Excel
Location and time
This implementation takes place 31.10.2022 - 18.12.2022.
Oppimateriaali ja suositeltava kirjallisuus
Learning material prepared by teacher.
Books in Finnish:
- Saaranen, P., Kolttola, E. & Pösö, J. 2016. Liike-elämän matematiikka. 11. uudistettu painos. Helsinki: Edita.
- Pulkkinen, P. & Holopainen, M. 2006. Talous- ja rahoitusmatematiikka. 4. uud. p. Helsinki: WSOY oppimateriaalit.
Books in English:
- Park, C. S. 2007. Contemporary engineering economics. 4th ed. Upper Saddle River, NJ: Pearson.
- Newnan, D. G., Eschenbach, T. G. & Lavelle, J. P. 2016. Engineering economic analysis. International twelfth edition. New York: Oxford University Press.
- Farr, J. V. & Faber, I. 2021. Engineering Economics of Life Cycle Cost Analysis. Boca Raton, FL: CRC Press.
Teaching methods
Face-to-face learning: Lectures at the Rajakatu campus, exercises and independent studying.
Employer connections
-
Exam schedules
The dates of the exams are:
- Lessons of the week starting on 12.12.
- First resit 18.1.2023
- Second resit 8.2.2023
International connections
-
Vaihtoehtoiset suoritustavat
No alternative implementations in English.
Alternative implementations in Finnish:
- Online implementation in Finnish in the fall of 2022 or in the spring of 2023
- Face-to-face implementation in Finnish in the fall of 2022
- Hybrid implementation in Finnish in the spring of 2023
Student workload
3cr = 3*27h = 81h, of which...
- lessons approximately 24h
- exams approximately 4h
- independent studying approximately 53h
Content scheduling
More precise timing will be presented in the beginning of the course, but the topics will be discussed more or less in the following order:
- indexes
- simple interest
- compound interest
- periodic payments
- financial calculations
- investment calculations
Further information
Final exam in two parts. Part 1 determines whether you pass or fail, part 2 determines your Grade.
Evaluation scale
0-5
Arviointikriteerit, tyydyttävä (1-2)
Sufficient 1
You have achieved the desired goals. You know a few of the concepts and methods and how to apply them in familiar situations but your reasoning is often deficient and you make mistakes in calculations.
Satisfactory 2
You have achieved the desired goals. You know many of the concepts and methods and how to apply them in familiar situations but your reasoning is sometimes deficient or you make mistakes in calculations.
Arviointikriteerit, hyvä (3-4)
Good 3
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in familiar situations showing often the ability to reason completely and calculate flawlessly
Very good 4
You have achieved the desired goals. You know most of the concepts and methods and how to apply them in new situations showing in most cases the ability to reason completely and calculate flawlessly.
Assessment criteria, excellent (5)
Excellent 5
You have achieved the desired goals. You know all the concepts and methods and how to apply them in new situations showing always the ability to combine things, reason completely and calculate flawlessly.
Qualifications
Basic use of spreadsheets