Geometry and Vector Algebra (3 cr)

Objectives (course unit)

Student is able to:
- understand basic terminology of geometry
- calculate areas and volumes of two- and three-dimensional objects
- apply vectors to technical problems
- perform calculations with complex numbers

Content (course unit)

Terminology of Geometry, Solving a Scalene Triangle, Areas and Volumes, Center of Mass of a Plane Region, Similarity, Scale, Vectors and Applications, Complex Numbers.

Prerequisites (course unit)

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concepts of geometry and vector calculations and is able to solve simple applications that are similar to the problems solved during the course. Student is familiar to different forms of complex numbers and is able to perform calculations with them. Justification of solutions and the usage of mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve basic geometrical problems and knows how to apply vectors to technical problems. Student can also explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Location and time

Lukujärjestyksen mukaisesti

Exam schedules

Opiskelija voi valita toteutuksen päätteeksi, tekeekö hän kokeen, jolla osoitetaan osaaminen arvosanalla 1 vai kokeen, jolla osoitetaan osaaminen arvosanoille 1 – 5.

Koe on maanantaina 14.4. klo 17-19 tilassa B2-25, ei uusintoja

Assessment scale

0-5

Teaching methods

Toteutuksella on intensiivistä lähiopetusta aikataulun mukaan kolmena (3) iltana, jonka jälkeen pidetään koe. Läsnäolovelvoite on 100 %.  

Lähiopetus verkkomateriaalilla tuettuna tähtää tasoltaan arvosanaan 1. Lähiopetuksessa keskitytään opintojakson keskeisten tehtävien ratkaisemiseen. Arvosanaa 1 korkeampaan arvosanaan tähtäävä osaaminen edellyttää laajempaa aktiivista itsenäistä opiskelua.  

Opintojakson sisältö tällä toteutuksella:

-Vinokulmaisen kolmion ratkaiseminen sekä erilaisten tasokuvioiden pinta-aloja
-Vektorilaskenta tasossa

Opintojakson koko sisältö:
-Vinokulmaisen kolmion ratkaiseminen sekä erilaisten tasokuvioiden pinta-aloja
-Vektorilaskenta tasossa ja avaruudessa
-Painopiste tai kompleksiluvut (riippuen koulutuksesta)
-Opintojakson aihepiirejä sovelletaan erilaisissa tekniikan probleemoissa.

Learning materials

Moodle-alueella

Student workload

Lähiopetusta 3x3 oppituntia sekä koe 2x oppituntia

Content scheduling

kts Moodlealue

Completion alternatives

Ei ole

Practical training and working life cooperation

Ei ole