Study Guide

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