Technical Differential and Integral CalculusLaajuus (5 cr)

Objectives

Student
-is able to produce an own solution out of a mathematical specification
-is able to evaluate his/her own mathematical know-how
-understands the concepts of change rate and cumulation
-knows the most common notations and concepts related to derivative and integrals
-is able to apply course contents in technical problem solving

Content

-Concepts of change and change rate
-Derivative function and related notations
-Concept of cumulation, definite integral, area interpretation
-Integral function and related notations
-Connection of derivative and integral function and their role in technical computing
-Numerical differentiation and integration using matematical software
-Concepts and notations of partial derivative and multi-dimensional integrals

Mathematical software is used in technical computing throughout the course.
-Technical computing with mathematical software

Assessment criteria, satisfactory (1-2)

-Knows the taught mathematical basic concepts
-Is able to do given basic level tasks by utilizing the group, if necessary
-Understands and is able to narrate given mathematical text
-Knows some engineering applications of the course contents

Assessment criteria, good (3-4)

-Can handle expressions and equations within the span of course contents
-Can narrate and justify self-produced expressions and equations etc.
-Is mainly able to use mathematical notations and concepts correctly
-Is able to help other members of the group
-Can apply taught concepts in engineering applications

Assessment criteria, excellent (5)

-In addition to aforementioned
*Can apply course contents in technical problem solving – even in new contexts
*Student can present self-written mathematical text clearly, logically and precisely

Further information

Opintojaksolla painotus on käsitteiden ymmärtämisessä, ei symbolisessa laskennassa ja laskennassa (myös symbolisessa) hyödynnetään matemaattista ohjelmistoa. Osittaisderivaatassa ja useampiuloitteisessa integraalissa pysytään merkinnällisellä ja käsitteellisellä tasolla, ei mennä laskentaan.

Derivaatan/integraalin osalta painotus on derivaatta-/integraalifunktion käyttämisessä, ei symbolisessa laskemisessa.

Opintojaksolla on tavoiteltavaa, että opiskelijat toteuttavat määrätyn spesifikaation matemaattisella ohjelmistolla.