AlgebraLaajuus (3 cr)
Code: TTPM007
Credits
3 op
Teaching language
- Finnish
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Materials
Insinöörin matematiikka, Tuomenlehto, Holmlund, Huuskonen, Makkonen, Surakka, Edita
Assessment criteria, excellent (5)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Enrollment
26.07.2025 - 24.08.2025
Timing
25.08.2025 - 14.12.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Kari Mikkola
Groups
-
TTV25SRAATTV25SRAA
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Materials
Insinöörin matematiikka, Tuomenlehto, Holmlund, Huuskonen, Makkonen, Surakka, Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
02.07.2025 - 31.07.2025
Timing
01.08.2025 - 31.12.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Virpi Saastamoinen
Groups
-
TTV25SATTV25SA
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
02.07.2025 - 31.07.2025
Timing
01.08.2025 - 31.12.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Simo Määttä
Groups
-
TTK25SPTTK25SP
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
02.07.2025 - 31.07.2025
Timing
01.08.2025 - 31.12.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Ari Teirilä
Groups
-
TTK25SDTTK25SD
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
02.07.2025 - 31.07.2025
Timing
01.08.2025 - 31.12.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Katja Komulainen
Groups
-
TTV25SPTTV25SP
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
02.07.2025 - 31.07.2025
Timing
01.08.2025 - 31.12.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- OPE_Tieto_ja_viestintätekniikka
Groups
-
TTM25SAITTM25SAI
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Enrollment
19.08.2024 - 22.09.2024
Timing
01.08.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Ari Teirilä
Groups
-
TTK24SDTTK24SD
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
19.08.2024 - 22.09.2024
Timing
01.08.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Ari Teirilä
Groups
-
TTK24SPTTK24SP
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
19.08.2024 - 22.09.2024
Timing
01.08.2024 - 24.11.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Virpi Saastamoinen
- Katja Komulainen
Groups
-
TTV24SPTTV24SP
-
TTV24SATTV24SA
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
19.08.2024 - 22.09.2024
Timing
01.08.2024 - 31.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Tommi Kauppinen
Groups
-
TTM24SAITTM24SAI
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 30.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Katja Komulainen
Groups
-
TTV23SATTV23SA
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 10.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Virpi Saastamoinen
Groups
-
TTV23SPTTV23SP
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 29.10.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Tommi Kauppinen
Groups
-
TTM23SAITTM23SAI
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 31.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Ari Teirilä
Groups
-
TTK23SPOTTK23SPO
-
TTK23SPTTTK23SPT
-
TTK23SPGTTK23SPG
-
TTK23SPTTK23SP
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 31.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Ari Teirilä
Groups
-
TTK23SDTTK23SD
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2023 - 30.09.2023
Timing
01.08.2023 - 31.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Kari Mikkola
Groups
-
TTV23SRAATTV23SRAA
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Materials
Insinöörin matematiikka, Tuomenlehto, Holmlund, Huuskonen, Makkonen, Surakka, Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2022 - 30.09.2022
Timing
01.08.2022 - 31.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Business Information Technology and Business Expertise Degree (Masters)
Teachers
- Ari Teirilä
- Aki Kortelainen
- Simo Määttä
- Katja Komulainen
Groups
-
TTV22SATTV22SA
-
TTV22SPTTV22SP
-
TTK22SPTTK22SP
-
TTK22SDTTK22SD
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2022 - 30.09.2022
Timing
01.08.2022 - 31.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Ari Teirilä
Groups
-
TTV22SAITTV22SAI
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2022 - 30.09.2022
Timing
01.08.2022 - 30.10.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Information and Communication Technology
Teachers
- Tommi Kauppinen
Groups
-
TTM22SAITTM22SAI
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.
Enrollment
01.08.2022 - 30.09.2022
Timing
01.08.2022 - 31.12.2022
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Teknologia
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree in Business Information Technology
Teachers
- Vesa Vaihoja
Groups
-
TTK22SPGRaaheTTK22SPGRaahe
-
TTK22SPTRaaheTTK22SPTRaahe
-
TTK22SPORaaheTTK22SPORaahe
-
TTK22SPRaaheTTK22SPRaahe
Objective
To partly review and add to high school and vocational college mathematics, with the adoption of disciplined and determined working methods and to develop interaction skills.
Content
Number sets and calculations
Expressions and functions
Equations and systems of equations
Exponential function and logarithms
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are proficient in expanding and simplifying the most common mathematical expressions. They able to form power and radical expressions and can do first degree equations.
Assessment criteria, good (3)
The students are able to carry out second degree equations and present them as diagrams. They are proficient in doing equation pairs and systems of equations. They are proficient in exponential, logarithm and complex number calculations.
Assessment criteria, satisfactory (1)
The students are able to describe verbal problems using mathematical language and are able to interpret the significance of the results to assignments that arise during their professional studies.