Geometry in Construction EngineeringLaajuus (4 cr)
Code: 8D00CK23
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Enrollment
22.04.2024 - 04.09.2024
Timing
07.01.2025 - 25.04.2025
Credits
4 op
Virtual proportion (cr)
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM24Bachelor of Construction Site Management
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
22.04.2024 - 04.09.2024
Timing
07.01.2025 - 25.04.2025
Credits
4 op
Virtual proportion (cr)
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RAK24Bachelor of Engineering, Construction Engineering
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
13.11.2023 - 21.02.2024
Timing
01.04.2024 - 19.05.2024
Credits
4 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
MRKM24Bachelor of Construction Site Management, Multimodal implementation
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
13.11.2023 - 17.01.2024
Timing
08.01.2024 - 28.04.2024
Credits
4 op
Virtual proportion (cr)
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM23Bachelor of Construction Site Management
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
13.11.2023 - 17.01.2024
Timing
08.01.2024 - 28.04.2024
Credits
4 op
Virtual proportion (cr)
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
Teachers
- Juhani Paananen
Student groups
-
RAK23Bachelor of Engineering, Construction Engineering
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
05.12.2022 - 12.02.2023
Timing
09.01.2023 - 30.04.2023
Credits
4 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM22
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
14.11.2022 - 15.01.2023
Timing
09.01.2023 - 30.04.2023
Credits
4 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
Teachers
- Juhani Paananen
Student groups
-
RAK22
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
107 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
03.12.2021 - 03.04.2022
Timing
07.03.2022 - 22.05.2022
Credits
4 op
Virtual proportion (cr)
4 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
MRKM22
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
Total work load of the course: 107 h
- of which scheduled studies: 15 h
- of which autonomous studies: 92 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
03.12.2021 - 23.01.2022
Timing
10.01.2022 - 08.05.2022
Credits
4 op
Virtual proportion (cr)
4 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM21
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
Total work load of the course: 107 h
- of which scheduled studies: 28 h
- of which autonomous studies: 79 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5
Enrollment
03.12.2021 - 23.01.2022
Timing
10.01.2022 - 08.05.2022
Credits
4 op
Virtual proportion (cr)
4 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RAK21
Objective
Learning competence
Students are aware of the basic properties of trigonometric functions. They know how to solve rectangular and oblique triangles. They are familiar with the more common plane figures and solid bodies and know how to calculate their areas and volumes.
Working community competence
Students are able to present the stages of geometrical problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for geometrical problems.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Content
Trigonometry:
- Trigonometric functions, especially the sine, cosine and tangent.
- Common trigonometric formulae
- Rectangular and oblique triangles and how to solve them
Plane figures:
- Areas of the more common plane figures
- The concept and application of similarity
- Centre of gravity
- Second moment of area, modulus of section
Space geometry:
- Common solid bodies: cylinder, cone, truncated cone, ball, and their parts
- Calculating volumes and areas
- Scale in three-dimensional space
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations and assignments.
Student workload
Total work load of the course: 107 h
- of which scheduled studies: 28 h
- of which autonomous studies: 79 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve the sides and angles of a right-angled triangle using the Pythagorean theorem and trigonometric functions. They are able to use the Sine and Cosine rules when calculating an oblique-angled triangle. They master the principles of calculating areas of simple plane figures. They are able to calculate the position of the centroid and moment of inertia of a simple cross section.
Assessment criteria, good (3)
The student is able to apply the solution methods of a right-angled and oblique-angled triangle also in a non-standard problems. They are able to calculate the position of the centroid and moment of inertia of a cross section consisting of arbitrary rectangular parts .
Assessment criteria, excellent (5)
The student is able to apply the solution methods of triangles in practical problems. They master the calculation of the position of the centroid and moment of inertia of a cross sections. The student independently searches for information in different sources and utilizes it in practical problem solving.
Assessment methods and criteria
Final examination and assignments, assessment 0-5