CalculusLaajuus (5 cr)

Objective

You know the basic concepts of calculus.
You are able to differentiate and integrate different 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 the derivative, integral function and definite integral defined?
What methods can be used for differentiation and integration?
How are functions of multiple variables differentiated?
How are differentiation and integration applied in engineering?

Qualifications

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

Accomplishment methods

Students are able to
a. use professional vocabulary systematically.
b. look for information in the key information sources of the field.
c. identify interrelated tasks.
e. use the key models, methods, software and techniques of the professional field.