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Geometry and Vector Algebra (3 cr)

Code: 5N00EK25-3004

General information


Enrolment period

02.07.2022 - 31.08.2022

Timing

01.08.2022 - 23.10.2022

Credits

3 op

Mode of delivery

Contact teaching

Unit

TAMK Mathematics and Physics

Campus

TAMK Main Campus

Teaching languages

  • English

Degree programmes

  • Bachelor's Degree Programme in Environmental Engineering
  • Open University of Applied Sciences

Teachers

  • Jukka Suominen

Person in charge

Jukka Suominen

Groups

  • 22IENVE
    Degree Programme in Environmental Engineering

Objectives (course unit)

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 (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 model problems solved during the course.

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 is also able to explain the methods of her/his solutions.

Assessment criteria, excellent (5) (course unit)

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.

Location and time

Dates and times are shown in TuniMoodle and in Intranet.

Exam schedules

The exam will be held on Monday, 24th of October at 13.15-16.00.
Two resit exams, the first one on Wednesday 30th of November, at 9.15-12.00 in the classroom B4-27 and the second one on Thursday 15th of December at 14.15-17.00 in the classroom B4-27.

Assessment methods and criteria

The final grade is based on the exam and the homework. A homework package is given weekly (appr. 8-9 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 41-42 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

Assessment scale

0-5

Teaching methods

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

Learning materials

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.

Student workload

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

Content scheduling

Topics will be shown in TuniMoodle.

Further information

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