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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
  • IT24SP
    Information 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
  • IM24SP
    Industrial 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
  • IE24SP
    Mechanical 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
  • IT23SP
    Information 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
  • IE23SP
    Mechanical 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
  • IM23SP
    Industrial 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