Calculus (5 cr)

Objective

You know the basic concepts of calculus. You are able to differentiate and integrate different kinds of functions using various methods. You can apply differentiation and integration in engineering.

Content

How are real numbers defined and equations and inequalities solved?
How are plane curves determined, and which are the basic elementary (real) functions and their properties?
What does the convergence of (real) sequences and series mean and how are they applied in engineering?
How are derivative, integral function and definite integral defined and which kind of differentiation and integration methods are there?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?

Course material

Calculus 5th ed, Frank Ayres,Jr. and Elliot Mendelson, Shaum's outlines. McGrawHill
Calculus: A Complete Course, 10th Edition, Robert A. Adams, Addison-Wesley 1999 - 2021
Tekniikan matematiikka 2, Henttonen, Juhani, Peltomäki, Jaana ja Uusitalo, Seppo, Edita Oppiminen Oy, 2006 (e-kirja)

Study forms and methods

Scheduled track:
You participate in lectures and exercises according to the weekly schedule.

Independent track:
You can show your competence e.g. by a certificate. To be settled at the course kick off.

RDI and work-related cooperation

Tällä toteutuksella ei ole suunniteltua työelämäyhteyttä.

Timing of exams and assignments

Sovitaan opintojakson alussa, joko kaksi välikoetta tai loppukoe. Viikottaiset kotitehtävät.

International cooperation

Tällä toteutuksella ei ole yhteistyökumppania sovittu.

Student workload

135 h

Evaluation scale

1-5

Assessment methods and criteria

Opintojakso suoritetaan tenttimällä. Laskuharjoitukset ja tuntiosallistuminen tuottaa lisäpisteitä opintojakson loppukokeeseen.

Qualifications

Basic knowledge of number systems, logic, sets and Boolean algebras are required.