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
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
- Bachelor’s Degree Programme in Environmental Engineering
Teachers
- Päivi Porras
- LAB_virtuaaliopettaja_LUMA_01 Virtuaaliopettaja (LAB)
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
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 (2022, 2023)
Teachers
- Heidi Rutila
- LAB_LUMA-assari LUMA-assari (LAB)
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
06.05.2024 - 08.06.2025
Timing
01.08.2024 - 31.07.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
E-campus
Teaching languages
- Finnish
Seats
1 - 100
Degree programmes
- Complementary competence and optional courses, Bachelors
Teachers
- Päivi Porras
Groups
-
TLABTO24H
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
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 (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (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
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 (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (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
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 and optional courses, Bachelors
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
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
- Bachelor’s Degree Programme in Environmental Engineering
- Bachelor’s Degree Programme in Wood Technology
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
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
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
- Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (2022, 2023)
- Bachelor’s Degree Programme in Wood Technology
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
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
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (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
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
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (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
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
Enrollment
01.07.2022 - 04.09.2022
Timing
05.09.2022 - 16.12.2022
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 - 120
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
- Bachelor’s Degree Programme in Environmental Engineering
- Bachelor’s Degree Programme in Wood Technology
Teachers
- Heidi Rutila
- Tiina Valkonen
Scheduling groups
- A-ryhmä (Size: 0. Open UAS: 0.)
- B-ryhmä (Size: 0. Open UAS: 0.)
Groups
-
TLTIKONE22KM
-
TLTIPUU22KM
-
TLTIENTEC22KM
Small groups
- Luennot 1
- Luennot 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
01.07.2022 - 04.09.2022
Timing
05.09.2022 - 16.12.2022
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
Teachers
- Tiina Valkonen
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTIPUU21S
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
15.08.2022 - 16.09.2022
Timing
05.09.2022 - 16.12.2022
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 Mechanical Engineering
- Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (2022, 2023)
- Bachelor’s Degree Programme in Wood Technology
Teachers
- Päivi Porras
Scheduling groups
- Verkko (Size: 0. Open UAS: 0.)
Groups
-
TLPRINFRA22S
-
TLTIYKS22S
-
TLPRTRT22S
-
TLPRKONE22S
-
TLTIPUU22S
-
TLTIKONE22S
Small groups
- R3+online
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
This is an online version of Tekniikan matematiikka 1. The course can studied at own pace, although there are scheduled lectures available. The number of lectures is less than in contact teaching.
The course can be studied during the autumn but lectures are after autumn break.
Learning material and recommended literature
All material is available in moodle.
Learning environment
The course is studied with material in moodle.
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
Additional information for students: previous knowledge etc.
Tekniikan matematiikan perusteet or corresponding knowledge.
Assessment criteria
Exercises and an applied test.
Assessment scale
1-5
Failed (0)
A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.
Assessment criteria: level 1 (assessment scale 1–5)
A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.
Assessment criteria: level 3 (assessment scale 1–5)
A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems.
At least 57% of maximum scores.
Assessment criteria: level 5 (assessment scale 1–5)
A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83% of maximum scores.
Enrollment
01.07.2022 - 04.09.2022
Timing
29.08.2022 - 16.12.2022
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 Information Technology
Teachers
- Tommi Veijalainen
- Juha Hyytiäinen
Scheduling groups
- Luennot 1 (Size: 200. Open UAS: 0.)
Groups
-
TLTITVT22K
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
14.03.2022 - 19.04.2022
Timing
01.05.2022 - 31.08.2022
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
- Summer studies
Teachers
- Heidi Rutila
- Erjaleena Koljonen
Groups
-
LABLPRKES22KH
-
LABLTIKES22KH
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
19.11.2021 - 09.01.2022
Timing
01.01.2022 - 31.07.2022
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Contact teaching, 66 % Distance learning
Unit
Faculty of Technology (LAB)
Campus
Lahti Campus
Teaching languages
- Finnish
Seats
5 - 70
Degree programmes
- Bachelor's Degree Programme in Mechanical Engineering
Teachers
- Heidi Rutila
- Erjaleena Koljonen
Scheduling groups
- Luennot A-ryhmä (Size: 0. Open UAS: 0.)
- Luennot B-ryhmä (Size: 0. Open UAS: 0.)
Groups
-
TLTIEYM21S
-
TLTIKONE21S
Small groups
- Luennot 1
- Luennot 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
22.11.2021 - 16.01.2022
Timing
01.01.2022 - 31.07.2022
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 (2021, 2022, 2023)
- Bachelor's Degree Programme in Civil and Construction Engineering, Civil Engineering (2021)
Teachers
- Päivi Porras
- Petteri Karkkulainen
Scheduling groups
- Ryhmä R1 (Size: 0. Open UAS: 0.)
- Ryhmä R2 (Size: 0. Open UAS: 0.)
- Verkko (Size: 0. Open UAS: 0.)
Groups
-
TLPRTRT21S
-
TLPRIYKT21S
-
TLPRKONE21S
Small groups
- Ryhmä R1
- Ryhmä R2
- Online
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
Enrollment
19.11.2021 - 09.01.2022
Timing
01.01.2022 - 01.05.2022
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
Teachers
- Tommi Veijalainen
- Juha Hyytiäinen
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTITVT21SV
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