Geometry
| Structure Type: | Course |
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| Code: | RAK1B2 |
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| Type: | Compulsory |
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| Level: | Bachelor |
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| Credits: | 2.0 points |
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| Responsible Teacher: | Paananen, Juhani |
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| Language of Instruction: | Finnish |
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Course Implementations, Planned Year of Study and Semester
| Curriculum | Semester | Credits | Start of Semester | End of Semester |
| RAK-2015RASU |
1 autumn |
2.0 |
2015-08-01 |
2015-12-31 |
| RAK-2015TUTE |
1 autumn |
2.0 |
2015-08-01 |
2015-12-31 |
| RAKME-2015 |
1 autumn |
2.0 |
2015-08-01 |
2015-12-31 |
| RAKME-2016JKL |
1 autumn |
2.0 |
2016-08-01 |
2016-12-31 |
| RAK-2016RASU |
1 autumn |
2.0 |
2016-08-01 |
2016-12-31 |
| RAK-2016TUTE |
1 autumn |
2.0 |
2016-08-01 |
2016-12-31 |
| RAKME-2016 |
1 autumn |
2.0 |
2016-08-01 |
2016-12-31 |
| RAKME-2017JKL |
1 autumn |
2.0 |
2017-08-01 |
2017-12-31 |
Learning Outcomes
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. 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.
Student's Workload
Total work load of the course: 53 h
- of which scheduled studies: 32 h
- of which autonomous studies: 21 h
Prerequisites / Recommended Optional Courses
Algebra.
Contents
Trigonometry:
• Trigonometric functions, especially the sine, cosine and tangent.
• Common trigonometric formulae
• Solving rectangular and oblique triangles
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
Recommended or Required Reading
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Mode of Delivery / Planned Learning Activities and Teaching Methods
Lectures, calculations and assignments.
Assessment Criteria
1 students understands the basics of geometry
3 student understands and is able to apply the methods of geometry well
5 student understands and is able to apply the methods of geometry excellently
Assessment Methods
Final examination, assessment 0-5
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