CalculusLaajuus (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 are able to apply calculus in engineering tasks.

Content

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

Qualifications

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

Evaluation

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