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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 % Contact teaching, 33 % Distance 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
  • TTV19S1
    Tieto- ja viestintätekniikka
  • TTV19S2
    Tieto- ja viestintätekniikka
  • TTV19S5
    Tieto- ja viestintätekniikka

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

Location and time

Kevätlukukauden 2022 toinen puolisko.

Materials

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 schedules

Julkaistaan opintojakson alussa oppimisympäristössä.

Completion alternatives

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

Opintojakso arvioidaan kurssin lopulla pidettävällä kokeella. Viikoittaisista kotitehtävistä saa lisäpisteitä kokeeseen.

Evaluation scale

Pass/Fail

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.

Qualifications

Basics in vector calculations