Mathematics in Technology 1Laajuus (3 cr)
Code: AT00CH48
Credits
3 op
Teaching language
- English
Responsible person
- Päivi Porras
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 - 25.04.2025
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Contact teaching, 33 % Distance learning
Unit
Faculty of Technology (LAB)
Campus
Lahti Campus
Teaching languages
- English
Seats
5 - 40
Degree programmes
- Bachelor’s Degree Programme in Sustainable Construction Technology
Teachers
- Arttu Siukola
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTISCT24SBachelor’s Degree Programme in Sustainable Construction Technology 24S Lahti
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 with Moodle assignments
Timing and attendance
Spring -25
Learning material and recommended literature
WWW, e.g. Math is Fun. Book: Fred Safier's Schaum's Outline of Precalculus second edition or newer.
Contents
The course has two sides: understanding mathematical methods and applying them in engineering tasks. We look into the topics through engineering lenses utilizing different tools like Wolfram Alpha.
Course content includes:
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
Exercises and weekly assignments
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
20.11.2024 - 03.01.2025
Timing
07.01.2025 - 31.05.2025
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
- English
Seats
1 - 100
Degree programmes
- Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
- Päivi Porras
Scheduling groups
- Verkkoluento 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTISSE24SVBachelor’s Degree Programme in Sustainable Solutions Engineering 24SV Lahti
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
This course has online lectures based on timetable of Sustainability students in LAB University of Applied Sciences. Lectures are scheduled for Tuesdays at 12am - 2pm.
Material in moodle can also be studied without attending the lectures.
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
Grading is informed in moodle.
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
20.11.2024 - 03.01.2025
Timing
07.01.2025 - 30.04.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lahti Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Industrial Information Technology
Teachers
- Juha Hyytiäinen
Scheduling groups
- Luennot 1 (Size: 500. Open UAS: 0.)
Groups
-
TLTIIIT24SBachelor's Degree Programme in Industrial Information Technology 24S Lahti
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 with Moodle assignments
Timing and attendance
Spring -25
Learning material and recommended literature
WWW, e.g. Math is Fun. Book: Fred Safier's Schaum's Outline of Precalculus second edition or newer.
Contents
The course has two sides: understanding mathematical methods and applying them in engineering tasks. We look into the topics through engineering lenses utilizing different tools like Wolfram Alpha.
Course content includes:
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
Exercises and weekly assignments
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
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, Lahti
Teaching languages
- English
Seats
1 - 100
Degree programmes
- Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
- Päivi Porras
Scheduling groups
- Verkkoluento 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTISSE23SVBachelor’s Degree Programme in Sustainable Solutions Engineering 23SV Lahti
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
This course has online lectures based on timetable of Sustainability students in LAB University of Applied Sciences. Material in moodle can also be studied without attending the lectures.
Timing and attendance
Online lectures are on Tuesdays at 12.15pm - 2pm and on Wednesdays at 2.15pm - 4pm.
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
20.11.2023 - 05.01.2024
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
- English
Degree programmes
- Bachelor’s Degree Programme in Industrial Mechanical Engineering
Teachers
- Juha Hyytiäinen
Scheduling groups
- Lectures (Size: 0. Open UAS: 0.)
Groups
-
TLPRMEC23S
Small groups
- 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
Lectures in classroom according to the schedule and Moodle assignments.
Timing and attendance
Spring -25
Learning material and recommended literature
will be announced at the beginning of the course
TODO
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or similar skills and knowledge
Assessment criteria
TODO
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
20.11.2023 - 05.01.2024
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
- English
Degree programmes
- Bachelor's Degree Programme in Industrial Information Technology
Teachers
- Juha Hyytiäinen
Scheduling groups
- Luennot 1 (Size: 500. Open UAS: 0.)
Groups
-
TLPRIIT23S
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 with Moodle assignments
Timing and attendance
Spring 24
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse 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
Lappeenranta Campus
Teaching languages
- English
Degree programmes
- Bachelor’s Degree Programme in Mechanical Engineering (2021, 2022, 2023)
Teachers
- Päivi Porras
Scheduling groups
- Mech (Size: 0. Open UAS: 0.)
- atk (Size: 0. Open UAS: 0.)
Groups
-
TLPRMEC22S
Small groups
- Mech
- Lecture
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 with Moodle assignments
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
21.11.2022 - 08.01.2023
Timing
09.01.2023 - 30.04.2023
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology (LAB)
Campus
Lappeenranta Campus
Teaching languages
- English
Degree programmes
- Bachelor's Degree Programme in Industrial Information Technology
Teachers
- Tommi Veijalainen
Scheduling groups
- Luennot 1 (Size: 500. Open UAS: 0.)
Groups
-
TLPRIIT22S
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
Implementation and methods of teaching
Contact lectures with Moodle assignments
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
21.11.2022 - 25.01.2023
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
- English
Seats
1 - 100
Degree programmes
- Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
- Päivi Porras
Scheduling groups
- SSE (Size: 0. Open UAS: 0.)
Groups
-
TLTISSE22SV
Small groups
- SSE
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 course has online lectures based on timetable of Sustainability students in LAB University of Applied Sciences. Lectures are scheduled for Tuesdays at 12am - 2pm.
Material in moodle can also be studied without attending the lectures.
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
Grading is informed in moodle.
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
22.11.2021 - 09.01.2022
Timing
10.01.2022 - 29.04.2022
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
- English
Degree programmes
- Bachelor's Degree Programme in Energy and Environmental Engineering (in Finnish), (2014-2021)
Teachers
- Päivi Porras
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLTISSE21SV
Small groups
- Lecturest 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
This course has online lectures based on timetable of Sustainability students in LAB University of Applied Sciences. Material in moodle can also be studied without attending the lectures.
Timing and attendance
Online lectures are on Tuesdays at 12.15pm - 2pm and on Wednesdays at 2.15pm - 4pm.
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
19.11.2021 - 09.01.2022
Timing
03.01.2022 - 31.05.2022
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 Mechanical Engineering and Production Technology (2016-2021)
Teachers
- Päivi Porras
- Seppo Toivanen
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLPRMEC21S
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
Implementation and methods of teaching
Contact lectures with Moodle assignments
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.
Enrollment
19.11.2021 - 09.01.2022
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
- English
Degree programmes
- Bachelor's Degree Programme in Industrial Information Technology
Teachers
- Päivi Porras
Scheduling groups
- Luennot 1 (Size: 0. Open UAS: 0.)
Groups
-
TLPRIIT21S
Small groups
- Lectures 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 with Moodle assignments
Learning material and recommended literature
will be announced at the beginning of the course
Contents
System of equations and matrices
Polynomial functions and inequalities
Geometry 3d
Vectors 3d (incl. directional cosines, dot product, and projection)
Exponential and logarithmic functions and equalities
Additional information for students: previous knowledge etc.
Basics of Mathematics in Technology or corresponding knowledge
Assessment criteria
will be discussed together
Assessment scale
1-5
Assessment criteria: level 1 (assessment scale 1–5)
The student is familiar with mathematical methods and is able to perform simple mechanical calculation tasks.
Assessment criteria: level 3 (assessment scale 1–5)
The student understands the requirements of mathematical methods and is able to apply basic mathematics to some extent in engineering tasks.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters mathematical methods and is able to analyse mathematical tasks at the engineering level without problems.