Geometry and Vector AlgebraLaajuus (3 cr)
Code: 5N00EK25
Credits
3 op
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.
Enrolment period
07.06.2023 - 01.09.2023
Timing
04.09.2023 - 13.10.2023
Credits
3 op
Mode of delivery
Contact teaching
Unit
Mathematics
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
-
23IENVE
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, 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.
Assessment methods and criteria
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
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.