Applied Mathematics and PhysicsLaajuus (5 cr)

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.