Mathematics in Technology 1Laajuus (3 cr)
Code: AT00BT68
Credits
3 op
Objective
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Enrollment
20.11.2024 - 03.01.2025
Timing
07.01.2025 - 30.04.2025
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
- Juha Hyytiäinen
Scheduling groups
- Luennot 1 (Size: 500. Open UAS: 0.)
Groups
-
TLTITVT24SV
Small groups
- Lecture 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
20.11.2024 - 03.01.2025
Timing
07.01.2025 - 16.05.2025
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Seats
0 - 50
Degree programmes
- Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
- Tiina Valkonen
Scheduling groups
- Verkkoluento (Size: 0. Open UAS: 0.)
- Tentti (Size: 0. Open UAS: 0.)
Groups
-
TLTIPUU24KV
Small groups
- Online lecture
- Exam
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Enrollment
20.11.2024 - 03.01.2025
Timing
01.01.2025 - 31.07.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lappeenranta Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Construction Engineering (in Finnish)
Teachers
- Petteri Karkkulainen
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLPRRAK24S
Small groups
- Lecture 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Contact lectures and exams
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student knows mathematical methods and is able to perform simple mechanical calculations.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics in engineering tasks to some extent.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyze mathematical tasks at the engineering level without problems.
Enrollment
15.11.2024 - 08.06.2025
Timing
01.08.2024 - 31.07.2025
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Seats
1 - 400
Degree programmes
- Complementary competence, Bachelor's (in Finnish)
Teachers
- Päivi Porras
Scheduling groups
- Avoimen ammattikorkeakoulun kiintiö (Size: 20. Open UAS: 20.)
Groups
-
TLABTO24H
Small groups
- Open UAS quota
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Self-paced online course.
Automatically checked assignments award points to complete the course. Assignments alone can pass the course, but higher grades require participation in an applied exam.
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Enrollment
06.05.2024 - 30.08.2024
Timing
02.09.2024 - 20.12.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus, Lahti
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
- Bachelor’s Degree Programme in Environmental Engineering (in Finnish)
Teachers
- Heidi Rutila
- Erjaleena Koljonen
Scheduling groups
- Ryhmä A (Size: 0. Open UAS: 0.)
- Ryhmä B (Size: 0. Open UAS: 0.)
Groups
-
TLTIENTEC24KM
-
TLTIKONE24KV
Small groups
- Group A
- Group B
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Online lectures and exams
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Enrollment
06.05.2024 - 30.08.2024
Timing
02.09.2024 - 13.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lahti Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
- LAB_LUMA-assari LUMA-assari (LAB)
- Tiina Valkonen
Scheduling groups
- Luennot (Size: 0. Open UAS: 0.)
- Laskuharjoitukset (Size: 0. Open UAS: 0.)
Groups
-
TLTIPUU23S
Small groups
- Lecture
- Practice 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
06.05.2024 - 30.08.2024
Timing
02.09.2024 - 13.12.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lahti Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (in Finnish), (2022, 2023)
Teachers
- LAB_LUMA-assari LUMA-assari (LAB)
- Arttu Siukola
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
- Harjoitukset 1 (Size: 0. Open UAS: 0.)
- Harjoitukset Opiskelija-assari 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTIYKS23S
Small groups
- Lecture 1
- Practice 1
- Practice 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
20.11.2023 - 05.01.2024
Timing
08.01.2024 - 31.05.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Seats
1 - 100
Degree programmes
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
- Päivi Porras
Scheduling groups
- Verkkoluento 1 (Size: 0. Open UAS: 0.)
Groups
-
TLPRINFRA23S
-
TLPRTRT23S
Small groups
- Online lecture 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Online lectures and exams
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Enrollment
20.11.2023 - 05.01.2024
Timing
01.01.2024 - 31.07.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus, Lahti
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
- Juha Hyytiäinen
Scheduling groups
- Toteutuksen opetusryhmä 1 (Size: 500. Open UAS: 0.)
Groups
-
TLTITVT23SV
Small groups
- Scheduling group 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
20.11.2023 - 12.01.2024
Timing
01.01.2024 - 31.07.2024
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lappeenranta Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
- Petteri Karkkulainen
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLPRINFRA23S
-
TLPRTRT23S
Small groups
- Lecture 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Contact lectures and exams
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student knows mathematical methods and is able to perform simple mechanical calculations.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics in engineering tasks to some extent.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyze mathematical tasks at the engineering level without problems.
Enrollment
15.05.2023 - 01.09.2023
Timing
04.09.2023 - 31.12.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus, Lahti
Teaching languages
- Finnish
Seats
0 - 150
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
- Bachelor’s Degree Programme in Environmental Engineering (in Finnish)
- Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
- Heidi Rutila
- Tiina Valkonen
Scheduling groups
- A-ryhmä (Size: 0. Open UAS: 0.)
- B-ryhmä (Size: 0. Open UAS: 0.)
Groups
-
TLTIENTEC23KM
-
TLTIKONE23KV
-
TLTIPUU23KV
Small groups
- Verkkoluento 1
- Verkkoluento 2
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
15.05.2023 - 01.09.2023
Timing
04.09.2023 - 15.12.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
E-campus, Lahti
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
- Tommi Veijalainen
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTITVT23KM
Small groups
- Luennot 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
16.03.2023 - 30.04.2024
Timing
01.08.2023 - 31.07.2024
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Seats
1 - 500
Degree programmes
- Complementary competence, Bachelor's (in Finnish)
Teachers
- Päivi Porras
Groups
-
TLABTO22H
-
LABKES23KH
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Self-paced online course.
Automatically checked assignments award points to complete the course. Assignments alone can pass the course, but higher grades require participation in an applied exam.
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Enrollment
21.11.2022 - 08.01.2023
Timing
09.01.2023 - 31.05.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lappeenranta Campus
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
- Päivi Porras
- Petteri Karkkulainen
Scheduling groups
- R1 (Size: 0. Open UAS: 0.)
- R2 (Size: 0. Open UAS: 0.)
Groups
-
TLPRINFRA22S
-
TLPRTRT22S
-
TLPRKONE22S
Small groups
- R1
- R2
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Contact lectures and exams
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student knows mathematical methods and is able to perform simple mechanical calculations.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics in engineering tasks to some extent.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyze mathematical tasks at the engineering level without problems.
Enrollment
21.11.2022 - 08.01.2023
Timing
09.01.2023 - 31.05.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lahti Campus
Teaching languages
- Finnish
Seats
5 - 200
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
- Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (in Finnish), (2022, 2023)
- Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
- Erjaleena Koljonen
- Tiina Valkonen
Scheduling groups
- A-ryhmä (Size: 0. Open UAS: 0.)
- B-ryhmä (Size: 0. Open UAS: 0.)
Groups
-
TLTIYKS22S
-
TLTIPUU22S
-
TLTIKONE22S
Small groups
- 1-ryhmä
- 2-ryhmä
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5
Enrollment
21.11.2022 - 08.01.2023
Timing
09.01.2023 - 31.05.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Seats
1 - 100
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
- Päivi Porras
Scheduling groups
- Verkkoluento (Size: 0. Open UAS: 0.)
Groups
-
TLPRINFRA22S
-
TLTIYKS22S
-
TLPRTRT22S
-
TLPRKONE22S
-
TLTIPUU22S
-
TLTIKONE22S
Small groups
- Online lectures
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Implementation and methods of teaching
Online lectures and exams
Contents
- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection
Assessment scale
1-5
Enrollment
21.11.2022 - 08.01.2023
Timing
01.01.2023 - 31.07.2023
Number of ECTS credits allocated
3 op
Virtual portion
3 op
Mode of delivery
Distance learning
Unit
Faculty of Technology (LAB)
Campus
E-campus, Lahti
Teaching languages
- Finnish
Degree programmes
- Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
- Tommi Veijalainen
Scheduling groups
- Luennot 1 (Size: 500. Open UAS: 0.)
Groups
-
TLTITVT22SV
Small groups
- Luennot 1
Learning outcomes
Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions
Assessment scale
1-5