Engineering Mathematics (5 cr)

Objective

After completing the course the student has made progress in
mathematical thinking and problem solving, especially in the context of engineering. After completing the course the student has reliable command of basic mathematical methods. The student is able to model phenomena in natural sciences and economics, applying computer methods when appropriate. The student understands the main mathematical concepts and structures and he/she perceives them as the analytical foundation of industrial management.

Content

• Algebra and equations
• Functions
• Vectors
• Differential calculus
• Integral calculus

Content scheduling

- Polynomit, murtolauseke
- Lineaarinen yhtälö, epäyhtälö
- Lineaarinen yhtälöpari ja -ryhmä sovelluksineen, Gaussin eliminointimenetelmä
- Funktio, lineaarifunktio ja muita
- Talousmalleja funktioiden sovelluksena
- Potenssit, logaritmit: sievennykset ja sovellukset
- Eksponentti- ja logaritmifunktio
- Raja-arvon käsite, erotusosamäärä, derivaatan määritelmä
- Derivointikaavat ja sovellukset
- Toinen derivaatta ja käännepiste
- Integrointi, määrätty integraali, säännöt ja sovellukset
- Vektorit: peruskäsitteet, pistetulo, sovellukset

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

The student has achieved the course objectives fairly. Students will be able to identify, define and use the concepts and models in the subject area. The student understands the criteria and principles of the expertise development.

Assessment criteria, good (3)

The student has achieved the course objectives well, even though the knowledge and skills need improvement in some areas. The student is able to define the course concepts and models and is able to justify the analysis. The student is able to apply the knowledge in study and work situations in the own field. The student understands the importance of expertise in the field of business and is able to analyze his/her own expertise.

Assessment criteria, excellent (5)

The student has achieved the objectives of the course with excellent marks. The student masters commendably the concepts and models in the course. The student is able to make justified and fluent analysis and to present concrete development measures. The students are well prepared to apply their knowledge in study and work situations. Students are able to analyze the business sector expertise and the evolvement of their own expertise.

Assessment criteria, approved/failed

The student has achieved the course objectives fairly. Students will be able to identify, define and use the concepts and models in the subject area. The student understands the criteria and principles of the expertise development.