Insinöörimatematiikka 1 (5 op)

Osaamistavoitteet (Opintojakso)

After completing this course student is able to
- operate with mathematical expressions related to technology and to formulate the mathematical model and solve the equations
- 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

perform calculations with complex numbers.

Sisältö (Opintojakso)

Mathematical Notations, Unit Conversations. Mathematical Expressions. Solving Linear, Quadratic and Pair of equations. Percentages. Solving Right Triangle. Terminology of Geometry, Solving a Scalene Triangle, Areas and Volumes, Center of Mass of a Plane Region, Similarity, Scale, Vectors and Applications, Complex Numbers

Arviointikriteerit, tyydyttävä (1-2) (Opintojakso)

Can handle basic mathematical expressions and solve simple linear equations. Limited ability in formulating mathematical models. Shows rudimentary understanding of geometry terms and basic ability in calculating areas, volumes, and solving scalene triangles. Understands basic concepts of the center of mass, vector calculations, and can perform simple calculations with complex numbers.

Arviointikriteerit, hyvä (3-4) (Opintojakso)

Effectively uses mathematical expressions and solves a range of equations, including quadratic. Good understanding of mathematical model formulation. Demonstrates a solid grasp of geometry, efficiently solving problems involving scalene triangles, and accurately calculating areas and volumes of more complex shapes. Capable of determining the center of mass for varied plane regions and performing intermediate vector calculations, applying these to technical problems.

Arviointikriteerit, kiitettävä (5) (Opintojakso)

Exhibits mastery in operating with complex mathematical expressions and solving diverse and challenging equations. Shows exceptional skill in formulating and solving mathematical models. Advanced understanding of geometry, solving complex problems involving scalene triangles, calculating areas and volumes of intricate three-dimensional objects. Accurately determines the center of mass for complex plane regions, excels in vector calculations, and innovatively applies complex numbers in various technical contexts.

Arviointiasteikko

0-5