Mathematics of Electrical Engineering (5 cr)

Objective

Student knows the basics of integral calculus and is able to apply the knowledge in electrical applications.
- The student is able to integrate elementary functions.
- The student understands the geometric interpretation of definite integral and
- The student knows the connection between indefinite and definite integral.
- The student is able to use definite integrals in simple applications.
Student is able to form differential equations on electrical system applications. Student knows solving methods to first and second order differential equations.

Content

1. Integral calculus
- Definite integral
- Indefinite integral
- Fundamental theorem of calculus
- Improper integral
- Applications

2. Differential equations with electrical system applications

Location and time

Etäluennot kurssin aikataulun mukaan
Tentti lähitoteutuksena viimeisellä kerralla

Materials

Kurssin luennot ja luentotallenteet
Kurssilla jaetut luento- ja oppimateriaalit

Teaching methods

Luento-opetus
Palautettavat viikkotehtävät sekä tietokoneharjoitukset
Tentti

Exam schedules

Tentti viimeisellä opetuskerralla

Uusintamahdollisuus sovitaan erikseen

Student workload

Opetus: 20 h
Itseopiskelu sekä harjoitukset: 100 h
Tentti: 3 h

Content scheduling

PVM KLO AIHE
20.8. 17 - 20:15 ETÄ (Teams) Riemann-integraali, graafisia ja numeerisia integrointimenetelmiä
3.9. 17 - 20:15 ETÄ (Teams) Integraalifunktio, integrointikaavoja ja -sääntöjä, määrätty integraali
17.9. 17 - 20:15 ETÄ (Teams) Integrointimenetelmiä, integraalin sovelluksia
24.9. 17 - 20:15 ETÄ (Teams) Integraalin sovelluksia, epäoleellinen integraali, Differentiaaliyhtälöt, differentiaaliyhtälön ratkaiseminen
8.10. 17 - 20:15 LÄHI (MMB253) Differentiaaliyhtälöiden sovelluksia, KOE (klo 18:30-20:15)

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

The student has achieved the course objectives fairly. The student will be able to identify, define and use the course subject area’s concepts and models. The student understands the criteria and principles of the expertise development. The student has completed the required learning exercises in minimum requirement level. His/her competences have developed in a way that he/she may complete the remaining studies in electrical engineering and automation technology and finally work in a suitable job position related to this field.

Assessment criteria, good (3)

The student has achieved the course objectives well, even though the knowledge and skills need improvement on some areas. The student has completed the required learning exercises in good or satisfactory level. The student is able to define the course concepts and models and is able to justify the analysis. The student is able to apply their knowledge in study and work situations. The student understands the importance of expertise in the field of electrical engineering and automation technology 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 master commendably the course subject area’s concepts and models. The student has completed the required learning exercises in good or excellent level. The student is able to make justified and fluent analysis and to present concrete development measures. The student is well prepared to apply their knowledge study and work situations. Students are able to analyze the expertise in electrical engineering and automation technology and the evolvement of their own expertise.

Assessment methods and criteria

30 p Palautettavat tehtävät
20 p Tentti