Mathematics 2Laajuus (4 cr)
Code: TK00BS62
Credits
4 op
Teaching language
- Finnish
Responsible person
- Arja Sirviö
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Enrollment
30.12.2024 - 26.01.2025
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
- Katja Komulainen
Groups
-
KRY24SKRY24S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2025 - 30.03.2025
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
- Aki Kortelainen
Groups
-
KRM24SKRM24S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2025 - 11.05.2025
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
- Kari Mikkola
Groups
-
KKT24SRaaKKT24SRaa
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2025 - 30.03.2025
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
- Virpi Saastamoinen
Groups
-
KKT24SKKT24S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
01.12.2023 - 31.01.2024
Timing
01.01.2024 - 30.05.2024
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
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2024 - 31.05.2024
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
- Katja Komulainen
Groups
-
KKT23SKKT23S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2024 - 24.05.2024
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
- Simo Määttä
Groups
-
KKM23SKKM23S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Materials
Insinöörin matematiikka;
Holmlund Eero, Huuskonen Maija, Makkonen Heikki, Surakka Jarkko, Tuomenlehto Ari
Edita
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2023 - 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
- Katja Komulainen
Groups
-
KKT22SKKT22S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2023 - 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
-
KKT22SRaaheKKT22SRaahe
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
02.12.2022 - 31.01.2023
Timing
01.01.2023 - 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
- Katja Komulainen
Groups
-
KRY22SKRY22S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
01.10.2022 - 31.01.2023
Timing
01.11.2022 - 19.03.2023
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
-
KRM22SKRM22S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2022 - 25.05.2022
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
- Katja Komulainen
Groups
-
KKT21SKKT21S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
01.12.2021 - 31.01.2022
Timing
01.01.2022 - 25.05.2022
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
- Arja Sirviö
Groups
-
KRY21SRaaKRY21SRaa
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
01.12.2021 - 31.01.2022
Timing
01.01.2022 - 25.05.2022
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
- Simo Määttä
Groups
-
KRY21SKRY21S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1
Enrollment
30.12.2024 - 26.01.2025
Timing
01.01.2022 - 25.05.2022
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
- Katja Komulainen
Groups
-
KKM21SKKM21S
Objective
To partly review and add to high school and vocational college mathematics.
Content
Geometry
Trigonometric functions and equations
Logarithmic and exponential functions
Derivative and integral
Evaluation scale
0 - 5
Assessment criteria, excellent (5)
The students are able to apply trigonometry and vector algebra to complete demanding tasks.
The student can apply differential calculus to more demanding tasks.
A commendable level requires that you get more than 90% of the maximum points in the exam
Assessment criteria, good (3)
The students are proficient in vector dot, cross and triple products and their meaning. They understand the basic facts concerning determinants and matrices.
The student knows how to solve differential calculus problems of medium difficulty.
A good level requires that you get about 70 - 80% of the maximum points in the exam.
Assessment criteria, satisfactory (1)
The students are proficient in the basic calculations for plane figures and three dimensional objects. They are proficient in the principles of trigonometry functions and understand the concept of vector.
The student masters the basic calculations of differential calculus.
A satisfactory level requires that approximately 50 - 60% of the maximum points in the exam are obtained.
Prerequisites
Mathematics 1