Mathematics 1Laajuus (5 cr)
Code: 4_EXX8110
Credits
5 op
Teaching language
- English
Learning objectives
The student revises the basics of algebra and trigonometry. He/she knows the basic properties of the most common functions used in technical applications. The student learns the elements of mathematical thinking and deduction. Furthermore, the student is able to recognize simple mathematical problems and solve them. The student achieves the readiness required to continue studying mathematics and to solve mathematical problems in engineering studies.
Content
- Laws of algebra of real numbers
- Equations and inequalities
- Linear systems of equations
- Trigonometry
- Elementary functions
Materials
Croft, Davison, Hargreaves: Engineering Mathematics
Enrollment
01.08.2024 - 15.09.2024
Timing
02.09.2024 - 31.12.2024
Credits
5 op
Mode of delivery
Contact teaching
Teaching languages
- English
Degree programmes
- Degree Programme in Internet of Things
Teachers
- Tuukka Heiskanen
Student groups
-
IT24SPInformation Technology IOT
Teaching methods
Lectures, guided and independent exercises
Student workload
Lectures 56 h
Independent learning approx. 80 h
Materials
Engineering mathematics by John Bird
Enrollment
01.08.2024 - 15.09.2024
Timing
30.08.2024 - 31.12.2024
Credits
5 op
Mode of delivery
Contact teaching
Teaching languages
- English
Seats
20 - 40
Degree programmes
- Degree Programme in Industrial Management
Teachers
- Ari Mikkonen
Student groups
-
IM24SPIndustrial Management
Teaching methods
The course covers the following areas of mathematics
- exponent and root calculation
- percentage calculation
- polynomials and polynomial functions
- polynomial equations, exponent equations and fractional equations as well as applications of the previous ones
- pairs of equations and groups of linear equations
- plane and space geometry and analytical geometry
- trigonometry
- basics of function theory
Teaching takes place in the classroom.
Alternative implementation methods
Individual students have the opportunity to take the course as a classroom test if necessary.
Student workload
The workload of the course is 5 credit hours x 26 2/3 h/credit hour = 133 h. The student's own share is 133 h - 56 h = 77 h. During this time, the student can do both practice tasks and exam tasks prepared for the course's Moodle learning platform. By completing assignments, the student gets a grade for the course.
Materials
- Moodle learning platform materials
- Croft, Davison, Hargreaves: Engineering Mathematics
- Technical formulas (Tammertekniikka)
Further information
The practice and examination tasks of the course are done entirely on the Moodle learning platform. Traditional midterm exams or final exams conducted in the classroom are not organized for the entire student group. Of course, an individual student has the opportunity to take the course as a classroom test as well, if necessary.
On the Moodle learning platform, the student can find the course
1) Practice tasks, the number of attempts of which is almost unlimited. The weighting factor for the exercises is 30 % in the evaluation of the entire course.
2) Examination tasks, the number of attempts of which varies between 1 and 5, depending on the question type. Computational tasks always 5 execution times. The weighting factor of the test assignments is 70 % in the evaluation of the entire course.
Grades
45 % = 1
55 % = 2
65 % = 3
75 % = 4
85 % = 5
The student can keep up-to-date with the progress in the evaluation book of the Moodle learning platform.
Enrollment
01.08.2024 - 15.09.2024
Timing
01.08.2024 - 31.12.2024
Credits
5 op
Mode of delivery
Contact teaching
Teaching languages
- English
Degree programmes
- Degree Programme in Mechanical Engineering
Teachers
- Niina Hyvönen
Student groups
-
IE24SPMechanical Engineering
Teaching methods
Lectures, guided and independent exercises
Student workload
Lectures 56 h
Independent learning approx. 80 h
Materials
Engineering mathematics by John Bird
Enrollment
01.08.2023 - 15.09.2023
Timing
04.09.2023 - 31.12.2023
Credits
5 op
Mode of delivery
Contact teaching
Teaching languages
- English
Teachers
- Tuukka Heiskanen
Student groups
-
IT23SPInformation Technology IOT
Teaching methods
Lectures, guided and independent exercises
Student workload
Lectures 56 h
Independent learning approx. 80 h
Materials
Engineering mathematics by John Bird
Enrollment
01.08.2023 - 15.09.2023
Timing
04.09.2023 - 31.12.2023
Credits
5 op
Mode of delivery
Contact teaching
Teaching languages
- English
Teachers
- Tuukka Heiskanen
Student groups
-
IE23SPMechanical Engineering
Teaching methods
Lectures, guided and independent exercises
Student workload
Lectures 56 h
Independent learning approx. 80 h
Materials
Engineering mathematics by John Bird
Enrollment
01.08.2023 - 15.09.2023
Timing
01.08.2023 - 31.12.2023
Credits
5 op
Mode of delivery
Contact teaching
Teaching languages
- English
Seats
30 - 40
Teachers
- Ari Mikkonen
Student groups
-
IM23SPIndustrial Management
Teaching methods
The student revises the basics of algebra and trigonometry. He/she knows the basic properties of the most common functions used in technical applications. The student learns the elements of mathematical thinking and deduction. Furthermore, the student is able to recognize simple mathematical problems and solve them. The student achieves the readiness required to continue studying mathematics and to solve mathematical problems in engineering studies.
Materials
Croft, Davison, Hargreaves: Engineering Mathematics
Further information
Themes
- Laws of algebra of real numbers
- Equations and inequalities
- Linear systems of equations
- Trigonometry
- Elementary functions