Applied Mathematics: Analytic GeometryLaajuus (3 cr)
Code: TTZM0350
Credits
3 op
Teaching language
- Finnish
Responsible person
- Pekka Varis
Objective
The student knows and understands different representations of geometric primitives studied in the course. They identify their implementations and can apply them to their own field. The student understands the principles of various geometrical tests and methods and is able to assess their functionality.
Content
Different representations of a line, a plane, second-degree curves, a sphere, a triangle and a prism in 2 and 3 dimensions. Distance from a point to a line and a plane, closest point on a line, on a plane, on a circle/sphere. Intersection and collision methods
Qualifications
Basics in vector calculations
Assessment criteria, satisfactory (1)
Pass: The student demonstrates their understanding of the various presentations and uses of the geometric primitives with an exam.
The assessment is based on the exam and exercises.
Assessment criteria, approved/failed
Pass: The student demonstrates their understanding of the various presentations and uses of the geometric primitives with an exam. The assessment is based on the exam and exercises.
Enrollment
01.11.2021 - 09.01.2022
Timing
07.03.2022 - 29.04.2022
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Face-to-face, 33 % Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Pekka Varis
Groups
-
TTV19S1Tieto- ja viestintätekniikka
-
TTV19S2Tieto- ja viestintätekniikka
-
TTV19S5Tieto- ja viestintätekniikka
Objectives
The student knows and understands different representations of geometric primitives studied in the course. They identify their implementations and can apply them to their own field. The student understands the principles of various geometrical tests and methods and is able to assess their functionality.
Content
Different representations of a line, a plane, second-degree curves, a sphere, a triangle and a prism in 2 and 3 dimensions. Distance from a point to a line and a plane, closest point on a line, on a plane, on a circle/sphere. Intersection and collision methods
Time and location
Kevätlukukauden 2022 toinen puolisko.
Learning materials and recommended literature
Opettajan oppimisympäristössä jakama kirjallinen ja videomateriaali.
Teaching methods
Kontaktiopetus 2+2 h/viikko, joissa luentoa ja laskuharjoituksia
Viikoittaiset kotitehtävät.
Itsenäistä opiskelua varten on olemassa luentovideot.
Exam dates and retake possibilities
Julkaistaan opintojakson alussa oppimisympäristössä.
Alternative completion methods
Hyväksilukemisen menettelytavat kuvataan tutkintosäännössä ja opinto-oppaassa. Opintojakson opettaja antaa lisätietoa mahdollisista opintojakson erityiskäytänteistä.
Student workload
Luennot + laskuharjoitukset n. 25 h
Itsenäinen opiskelu ja kotitehtävät 50 h
Tentti 3 h
Kuormitus on tasainen koko opintojakson ajan, yhteensä 80 h.
Further information for students
Opintojakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikoittaisista kotitehtävistä saa lisäpisteitä kokeeseen.
Evaluation scale
Pass/Fail
Evaluation criteria, satisfactory (1-2)
Pass: The student demonstrates their understanding of the various presentations and uses of the geometric primitives with an exam.
The assessment is based on the exam and exercises.
Evaluation criteria, pass/failed
Pass: The student demonstrates their understanding of the various presentations and uses of the geometric primitives with an exam. The assessment is based on the exam and exercises.
Prerequisites
Basics in vector calculations