Geometry and Vector Algebra 5N00EG72-3019 01.08.2020-18.10.2020 3 cr(20AUTOB)+-
Learning outcomes of the 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
Prerequisites and co-requisites
Orientation for engineering mathematics or similar skills.
Terminology of Geometry, Solving a Scalene Triangle, Areas and Volumes, Center of Mass of a Plane Region, Similarity, Scale, Vectors and Applications, Complex Numbers.
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.
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.
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.