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Applied Mathematics and PhysicsLaajuus (5 cr)

Code: TKXMF100

Credits

5 op

Teaching language

  • Finnish

Responsible person

  • Tomi Nieminen

Objective

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Qualifications

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Assessment criteria, satisfactory (1)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Assessment criteria, good (3)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Assessment criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Assessment criteria, approved/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Enrollment

18.11.2024 - 09.01.2025

Timing

13.01.2025 - 20.04.2025

Number of ECTS credits allocated

5 op

Mode of delivery

Face-to-face

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

20 - 40

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Antti Kosonen
Groups
  • TKN23SB
    Konetekniikka (AMK)
  • TKN23SA
    Konetekniikka (AMK)

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Time and location

The course is implemented 13.1.2024 - 20.4.2024

Learning materials and recommended literature

Material available in the e-learning environment.

Literature:
Suvanto, K. 2003. Tekniikan fysiikka: 1. [Helsinki]: Edita.
Suvanto, K. & Laajalehto, K. 2005. Tekniikan fysiikka: 2. 2. p. Helsinki: Edita.

Teaching methods

Face-to-face learning. Lessons twice a week on campus.

Exam dates and retake possibilities

1. midterm exam during week 8
2. midterm exam during week 16

1st resit during week 19
2nd resit during week 22

Alternative completion methods

Flexible-mode implementation in Spring 2025.

Student workload

5op * 21h/op = 135h

Approximate use of time:
- lessons 40 h
- independent study 80 h
- project 9 h
- exams 6 h

Content scheduling

A more precise schedule will be announced at the beginning of the course.

Further information for students

Two midterm exams, exercises and a study project contribute to the grading of the course.

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Enrollment

18.11.2024 - 09.01.2025

Timing

13.01.2025 - 20.04.2025

Number of ECTS credits allocated

5 op

Virtual portion

2 op

Mode of delivery

60 % Face-to-face, 40 % Online learning

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

20 - 32

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Antti Kosonen
Groups
  • TKN23SM
    Konetekniikka (AMK)

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Time and location

The course is implemented 13.1.2024 - 20.4.2024

Learning materials and recommended literature

Material available in the e-learning environment.

Literature:
Suvanto, K. 2003. Tekniikan fysiikka: 1. [Helsinki]: Edita.
Suvanto, K. & Laajalehto, K. 2005. Tekniikan fysiikka: 2. 2. p. Helsinki: Edita.

Teaching methods

Independent study, online meetings when necessary

Exam dates and retake possibilities

1. midterm exam during week 8
2. midterm exam during week 16

1st resit during week 19
2nd resit during week 22

Alternative completion methods

Face-to-face implementation in Spring 2025.

Student workload

5op * 21h/op = 135h

Approximate use of time:
- lessons 2 h
- independent study 118 h
- project 9 h
- exams 6 h

Content scheduling

A more precise schedule will be announced at the beginning of the course.

Further information for students

Two midterm exams, exercises and a study project contribute to the grading of the course.

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Enrollment

20.11.2023 - 04.01.2024

Timing

08.01.2024 - 30.04.2024

Number of ECTS credits allocated

5 op

Mode of delivery

Face-to-face

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

0 - 36

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Antti Kosonen
  • Tomi Nieminen
Groups
  • TKN22SA
    Konetekniikka (AMK)
  • TKN22SB
    Konetekniikka (AMK)

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Time and location

The course is implemented 8.1.2024 - 30.4.2024.

Learning materials and recommended literature

Material available in the e-learning environment-

Literature:
Suvanto, K. 2003. Tekniikan fysiikka: 1. [Helsinki]: Edita.
Suvanto, K. & Laajalehto, K. 2005. Tekniikan fysiikka: 2. 2. p. Helsinki: Edita.

Teaching methods

Face-to-face learning. Lessons twice a week on campus.

Exam dates and retake possibilities

1. midterm exam during week 8
2. midterm exam during week 17

1st resit during week 20
2nd resit during week 22

Alternative completion methods

Flexible-mode implementation in Spring 2024.

Student workload

5op * 21h/op = 135h

Approximate use of time:
- lessons 48 h
- independent study 73 h
- project 10 h
- exams 4h

Content scheduling

A more precise schedule will be announced at the beginning of the course.

Further information for students

Two midterm exams, study project, exercises and self-assessment contribute to the grading of the course.

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Enrollment

20.11.2023 - 04.01.2024

Timing

08.01.2024 - 20.05.2024

Number of ECTS credits allocated

5 op

Virtual portion

3 op

Mode of delivery

40 % Face-to-face, 60 % Online learning

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

0 - 38

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Tomi Nieminen
Groups
  • TKN22SM
    Konetekniikka (AMK)

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Enrollment

01.11.2022 - 05.01.2023

Timing

01.01.2023 - 21.05.2023

Number of ECTS credits allocated

5 op

Virtual portion

1 op

Mode of delivery

80 % Face-to-face, 20 % Online learning

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

0 - 60

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Antti Kosonen
  • Tomi Nieminen
Teacher in charge

Tomi Nieminen

Groups
  • TKN21SA
    Konetekniikka (AMK)
  • TKN21SB
    Konetekniikka (AMK)
  • TKN21SM
    Konetekniikka

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Time and location

The course is implemented 9.1.2023 - 30.4.2023.

Learning materials and recommended literature

Material available in the e-learning environment-

Literature:
Suvanto, K. 2003. Tekniikan fysiikka: 1. [Helsinki]: Edita.
Suvanto, K. & Laajalehto, K. 2005. Tekniikan fysiikka: 2. 2. p. Helsinki: Edita.

Teaching methods

Face-to-face and e-learning depending on the programme.

Exam dates and retake possibilities

1. midterm exam during week 8
2. midterm exam during week 17

1st resit of the 1st midterm exam during week 12
1st resit of the 2nd midterm exam during week 20

2nd resit of both midterm exams during week 22

Alternative completion methods

No alternative implementations available.

Student workload

5op * 21h/op = 135h

Content scheduling

Will be announced at the beginning of the course.

Further information for students

Two midterm exams, study project, exercises and self-assessment contribute to the grading of the course.

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Enrollment

01.11.2021 - 09.01.2022

Timing

01.01.2022 - 15.05.2022

Number of ECTS credits allocated

5 op

Mode of delivery

Face-to-face

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

0 - 90

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Tomi Nieminen
Teacher in charge

Tomi Nieminen

Groups
  • TKN20SM
    Konetekniikka

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Learning materials and recommended literature

Theory handouts and exercises written by the teacher.

Alternative completion methods

Graded exercises or alternatively a final exam.
Project work.

Student workload

Virtual study and guided exercises 65 h, independent work 70 h. Total 135 h.

Further information for students

-

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.

Enrollment

01.11.2021 - 09.01.2022

Timing

01.01.2022 - 15.05.2022

Number of ECTS credits allocated

5 op

Mode of delivery

Face-to-face

Unit

School of Technology

Campus

Main Campus

Teaching languages
  • Finnish
Seats

0 - 90

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering
Teachers
  • Antti Kosonen
Teacher in charge

Tomi Nieminen

Groups
  • TKN20SB
    Konetekniikka (AMK)
  • TKN20SA
    Konetekniikka (AMK)

Objectives

The students study rigid body dynamics, and they learn to choose a proper motor for a mechanism. The students study the fundamentals of electromagnetism and they build a rotating electric motor. The students also learn how to write and solve differential equations analytically.

Knowledge and understanding:
Students understand the principles of mathematical modeling of engineering problems.

Engineering analysis:
Students are able to apply their modeling skills to solving practical engineering problems.

Content

Rigid body dynamics, electromagnetism, Faraday’s law, Lenz’s law. Differential equations, analytical solution methods.

Time and location

Opintojakso toteutetaan 10.1.2022 - 30.4.2022

Learning materials and recommended literature

Materiaali saatavilla opintojakson Moodle-työtilassa

Teaching methods

Lähiopetus

Exam dates and retake possibilities

Ilmoitetaan opintojakson alkaessa

Student workload

5op * 21h/op = 135h

Further information for students

koe / testit / harjoitustehtävät ja -työt

Evaluation scale

0-5

Evaluation criteria, satisfactory (1-2)

Assessment consists of exam 90% and project work 10%.
Sufficient (1): You identify the basic knowledge and terminology but you have significant gaps in the knowledge how to understand the most important problem solving techniques and ideas. You are able to solve simple problems in a sufficient manner.

Satisfactory (2): You are familiar with the basic knowledge and terminology but there are some gaps in the knowledge how to implement the most important problem solving techniques and ideas. You are able to solve unusual problems in a satisfactory manner.

Evaluation criteria, good (3-4)

Good (3): You master the essential knowledge and skills and can apply your knowledge to basic engineering applications.

Very good (4): The student masters the essential knowledge and skills and can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, excellent (5)

Excellent (5): You master the essential knowledge and skills and you can apply the knowledge acquired in a critical and innovative manner to problem solving situations.

Evaluation criteria, pass/failed

Approved: You master sufficiently the basic knowledge and skills and you are able to apply your knowledge to simple problems.

Prerequisites

Expressions and equations. SI-unit system. The concepts of force and torque and Newton's laws. Dividing a vector into components. The basics of statics. Technical beam theory, and the relationship between the shear force, the bending moment and the deflection of a beam. Basics of differential and integral calculus.