Mathematics 3Laajuus (4 cr)
Code: TK00BS63
Credits
4 op
Teaching language
- Finnish
Responsible person
- Arja Sirviö
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Qualifications
Mathematics 1
Mathematics 2
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Enrollment
18.08.2025 - 21.09.2025
Timing
29.09.2025 - 21.12.2025
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Kari Mikkola
Groups
-
KRM24SKRM24S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
26.07.2025 - 24.08.2025
Timing
25.08.2025 - 21.12.2025
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Kari Mikkola
Groups
-
KKT24SRaaKKT24SRaa
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
26.07.2025 - 24.08.2025
Timing
25.08.2025 - 14.12.2025
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Simo Määttä
Groups
-
KRY24SKRY24S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
02.12.2024 - 31.12.2024
Timing
01.01.2025 - 18.05.2025
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- OPE_LUMA, Teknologia
Groups
-
KKM23SKKM23S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
02.08.2024 - 30.09.2024
Timing
26.08.2024 - 30.11.2024
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Virpi Saastamoinen
Groups
-
KKT23SKKT23S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
02.08.2024 - 30.09.2024
Timing
26.08.2024 - 30.11.2024
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Virpi Saastamoinen
Groups
-
KRY23SKRY23S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Materials
Insinöörin matematiikka
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 15.12.2023
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Simo Määttä
Groups
-
KKT22SKKT22S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 15.12.2023
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Kari Mikkola
Groups
-
KKT22SRaaheKKT22SRaahe
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 22.12.2023
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Simo Määttä
Groups
-
KRY22SKRY22S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
01.08.2023 - 31.10.2023
Timing
01.08.2023 - 22.12.2023
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Virpi Saastamoinen
Groups
-
KRM22SKRM22S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
02.12.2022 - 28.03.2023
Timing
13.03.2023 - 31.05.2023
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Kari Mikkola
Groups
-
KKM21SKKM21S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
01.07.2022 - 16.12.2022
Timing
01.08.2022 - 16.12.2022
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Arja Sirviö
Groups
-
KKT21SKKT21S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
02.07.2022 - 16.12.2022
Timing
01.08.2022 - 16.12.2022
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Arja Sirviö
Groups
-
KRY21SKRY21S
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2
Enrollment
02.07.2022 - 16.12.2022
Timing
01.08.2022 - 16.12.2022
Number of ECTS credits allocated
4 op
Mode of delivery
Contact teaching
Unit
School of Engineering
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Mechanical Engineering
Teachers
- Kari Mikkola
- Arja Sirviö
Groups
-
KRY21SRaaKRY21SRaa
Objective
The student gets to know practical economic mathematics.
The student becomes familiar with practical probability calculation and statistical calculation using e.g. the Excel program.
Content
Examining function descriptors and extreme values
Engineering applications
Evaluation scale
0 - 5
Arviointikriteerit, kiitettävä (5)
The students are able to analyse the problems of the topic in hand and produce alternative methods of solving them.
A commendable level requires obtaining more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The student has a fluent command of the basic concepts related to economic mathematics and events and knows how to apply them.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Arviointikriteerit, tyydyttävä (1)
The student masters the basic concepts related to economic mathematics and statistics.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Qualifications
Mathematics 1
Mathematics 2