Advanced Engineering Mathematics 1Laajuus (5 cr)

Objective

After completion of the course, the student
• understands the connection between differential and integral calculus and has a basic understanding of definite integrals as the limit of the Riemann-sum (simplified version with even partitions)
• can solve first order linear and separable ODEs
• is familiar with both Laplace transforms and inverse Laplace transforms and understands the difference between t- and s-domain
• knows how to solve ODEs using Laplace transforms, often seen in situations where said ODEs have arisen from problems relating to electrical circuits.

Content

• Integral calculus
• First and second order separable and linear ordinary differential equations (ODEs)
• Laplace transform

Assessment criteria, satisfactory (1)

The student
• has achieved the objectives of the course to a satisfactory level
• is able to identify, define and use concepts and models in the subject area of the course
• understands the conditions and principles of the development of expertise
• has completed the learning tasks required for the course to the minimum standard
• has developed their competences in such a way that they will be able to complete their future professional studies and eventually work in the field.

Assessment criteria, good (3)

The student
• has achieved the objectives of the course well, although there are still areas where knowledge and skills need to be improved
• has completed the learning tasks of the course at a satisfactory or good level
• has a good understanding of the concepts and models of the subject matter of the course and is able to carry out a reasoned analysis
• is able to apply what they have learned in learning and working situations
• understands the importance of expertise in the field and is able to analyse their own expertise.

Assessment criteria, excellent (5)

The student
• has achieved the objectives of the course with excellent marks
• has completed the learning tasks of the course at a good or excellent level
• has an excellent command of the concepts and models of the subject matter of the course
• is able to analyse clearly and reasonably and propose practical development measures
• has a good ability to apply what they have learned in learning and working situations
• is able to analyse their expertise in their field and their own development towards expertise.