Extensive Mathematics and Physics I: Dynamic PhenomenaLaajuus (5 cr)

Objective

A student obtains a general view on modern physics and its effect on technical applications. (S)he also learns to master more advanced mathematics. A student with a successful completion of the course obtains knowledge that may help her/him to apply for master programs.

On completion of this course the student:
• understands the history of the scientific development of matter and energy
• has the big picture of the mathematical topics belonging to the course and having highly important role in engineering sciences
• can explain the basic phenomena of modern physics (quantum physics) and understands their effect on modern technological applications and the functioning of technical devices
• is able to analyze and solve essential physical problems
• masters the software used in the course
• understands the contents of related scientific and technical articles

Content

• Complex numbers
• Differential equations and their use in modelling of phenomena
• Functions of several variables, vectors and matrices
• Quantum physics and its impact on physical models of matter and energy
• Quantum physics in development of modern technology

Qualifications

A student who masters the basics of classical physics (mechanics, electricity and magnetism, and wave motion) and has good mathematical basic skills, benefits most of this course.

Assessment criteria, satisfactory (1)

The student:
• understands the basic phenomena of modern physics (quantum physics)
• is able to solve basic mathematical problems of the course
• can explain and present mathematical solutions of physical problems practiced in the course

Assessment criteria, good (3)

In addition to satisfactory criteria, the student:
• is able to analyze the functioning of modern technological applications and the relationships between the physical laws and the mathematical methods related to the applications
• is able to apply learned mathematical methods

Assessment criteria, excellent (5)

In addition to the good criteria, the student:
• has an excellent understanding of the studied physical phenomena and their applications
• masters excellently the mathematical methods of the course
• can apply his/her acquired knowledge and methods in various situations
• understands scientific and technical articles of the subjects studied in the course

Assessment criteria, approved/failed

The student:
• understands the basic phenomena of modern physics (quantum physics)
• is able to solve basic mathematical problems of the course
• can explain and present mathematical solutions of physical problems practiced in the course