Geometry and VectorsLaajuus (3 cr)
Code: AT00DD75
Credits
3 op
Teaching language
- English
Objective
The student is able to
- solve the angles and sides of different types of triangles and use similarity
- solve geometric problems
- knows basics of vectors in plane and space
Enrollment
07.05.2025 - 31.08.2025
Timing
13.10.2025 - 12.12.2025
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
0 - 40
Degree programmes
- Bachelor’s Degree Programme in Sustainable Construction Technology
Teachers
- Arttu Siukola
Scheduling groups
- Luennot (Size: 0. Open UAS: 0.)
Groups
-
TLTISCT25SBachelor’s Degree Programme in Sustainable Construction Technology 25S Lahti
Small groups
- Lecture
Learning outcomes
The student is able to
- solve the angles and sides of different types of triangles and use similarity
- solve geometric problems
- knows basics of vectors in plane and space
Implementation and methods of teaching
Lectures and exercises.
The learning material enables individual progress.
Timing and attendance
Contact teaching 48 hours and exercises.
Exam in the classroom.
Learning material and recommended literature
The learning material is provided in Moodle.
Alternative completion methods
Exam
Exam retakes
To be announced during the course.
Learning environment
Moodle learning environment.
Student time use and work load
3 op / 80 h
Contents
- Triangle and angles
- Pythagorean theorem
- Scale and similarity
- Right triangle trigonometry
- Sine and cosine rules (unit circle)
- Basic concepts of vectors
- Component form of a plane vector
- Direction angle of a plane vector
- Force triangle and applied problems
- Component form of a space vector
- Dot product
- Projection
- Cross product
- Quadrilateral and polygons
- Circle
- Spatial geometry
Assessment criteria
Exercises and exam.
Assessment scale
1-5
Failed (0)
A student cannot solve basic mathematics well enough. Less than 40% of maximum scores.
Assessment criteria: level 1 (assessment scale 1–5)
To some extent, the student is able to cope with basic calculations.
Assessment criteria: level 3 (assessment scale 1–5)
The student has good basic skills in mathematics.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters the basic skills of mathematics and is also able to apply them in engineering tasks.
Enrollment
07.05.2025 - 31.08.2025
Timing
13.10.2025 - 12.12.2025
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
0 - 40
Degree programmes
- Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
- Arttu Siukola
Scheduling groups
- Luennot (Size: 0. Open UAS: 0.)
Groups
-
TLTISSE25SBachelor’s Degree Programme in Sustainable Solutions Engineering 25S Lahti
Small groups
- Lecture
Learning outcomes
The student is able to
- solve the angles and sides of different types of triangles and use similarity
- solve geometric problems
- knows basics of vectors in plane and space
Implementation and methods of teaching
Lectures and exercises.
The learning material enables individual progress.
Timing and attendance
Contact teaching 48 hours and exercises.
Exam in the classroom.
Learning material and recommended literature
The learning material is provided in Moodle.
Alternative completion methods
Exam
Exam retakes
To be announced during the course.
Learning environment
Moodle learning environment.
Student time use and work load
3 op / 80 h
Contents
- Triangle and angles
- Pythagorean theorem
- Scale and similarity
- Right triangle trigonometry
- Sine and cosine rules (unit circle)
- Basic concepts of vectors
- Component form of a plane vector
- Direction angle of a plane vector
- Force triangle and applied problems
- Component form of a space vector
- Dot product
- Projection
- Cross product
- Quadrilateral and polygons
- Circle
- Spatial geometry
Assessment criteria
Exercises and exam.
Assessment scale
1-5
Failed (0)
A student cannot solve basic mathematics well enough. Less than 40% of maximum scores.
Assessment criteria: level 1 (assessment scale 1–5)
To some extent, the student is able to cope with basic calculations.
Assessment criteria: level 3 (assessment scale 1–5)
The student has good basic skills in mathematics.
Assessment criteria: level 5 (assessment scale 1–5)
The student masters the basic skills of mathematics and is also able to apply them in engineering tasks.