Applied Mathematics and Physics (5 cr)

Evaluation scale

0-5

Content scheduling

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

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.

Location and time

The course is implemented 13.1.2024 - 20.4.2024

Materials

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 schedules

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

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

Completion alternatives

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

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.

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.

Further information

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