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

This course is traditional contact teaching in a classroom by weekly schedule. The course lecture hours contain new theory and examples. Some practicing during lessons. Homework will deepen students skills on the topic. Participating to teaching gives some extra points for the final exam. The course can be organised to have two midterm exams or just final exam, that will be decided with the group during the start of the course.

You can also show your previous competence e.g. by a certificate. To be settled at the course kick off.

RDI and work-related cooperation

This course does not have working life contacts.

Timing of exams and assignments

One or two exams, which is settled at the course kick off.

International cooperation

There is no planned co-operation on this course.

Student workload

The five credit point course takes as counted 135 h, that can vary a lot depending of the previous math skills.

Evaluation scale

1-5

Assessment methods and criteria

Evaluation is based on the final exam. Extra points from activity as described on Learn.

Qualifications

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