Geometry and Vector Algebra (3 op)

Osaamistavoitteet (Opintojakso)

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.

Sisältö (Opintojakso)

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

Esitietovaatimukset (Opintojakso)

Orientation for engineering mathematics or similar skills.

Arviointikriteerit, tyydyttävä (1-2) (Opintojakso)

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.

Arviointikriteerit, hyvä (3-4) (Opintojakso)

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.

Arviointikriteerit, kiitettävä (5) (Opintojakso)

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.

Aika ja paikka

Dates and times are shown in TuniMoodle and in Intranet.

Tenttien ja uusintatenttien ajankohdat

The exam will be held on Monday, 9th of October at 8.15-11.00 in the auditorium D1-04.
Two resit exams, the first one on Wednesday 1st of November, at 8.15-11.00 in the classroom H2-25 and the second one on Wednesday 22nd of November at 8.15-11.00 in the classroom B4-27.

Arviointimenetelmät ja arvioinnin perusteet

The final grade is based on the exam and the homework. A homework package is given weekly (appr. 8 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is 42 points. The homework and the test together give the maximum of 50 points. The grade is based on the following table

12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Lessons, exercises, self-study, videos, homework, exam.

Oppimateriaalit

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books he/she has used before and the Internet to search more information about the topics. A student can borrow books in TAMK library. The solutions for the some homework will be published in TuniMoodle after every deadline.

Opiskelijan ajankäyttö ja kuormitus

A student is expected to work 27 hours / credit unit.

Sisällön jaksotus

Topics will be shown in TuniMoodle.

Lisätietoja opiskelijoille

A student is expected to have a calculator and a formula book.