Geometry and Vector AlgebraLaajuus (3 cr)

Objectives

After completing this course student is able to understand basic terminology of geometry, solve a scalene triangle, calculate areas and volumes of two- and three-dimensional objects, determine the center of mass of a plane region, perform basic vector calculations, apply vectors to technical problems, and perform calculations with complex numbers.

Content

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

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1-2)

Student understands the basic concepts of geometry and vector calculations and is able to solve simple applications that are similar to the model problems solved during the course.

Assessment criteria, good (3-4)

In addition, student is able to solve basic geometrical problems and knows how to apply vectors to technical problems. Student is also able to explain the methods of her/his solutions.

Assessment criteria, excellent (5)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution.