Programplaner og emneplaner - Student
MLEST1110 Digitale verktøy og medier Emneplan
- Engelsk emnenavn
- Digital tools and media
- Studieprogram
-
Lærerutdanning i praktiske og estetiske fag for trinn 1-13, design, kunst og håndverk
- Omfang
- 15.0 stp.
- Studieår
- 2025/2026
- Programplan
- Emnehistorikk
-
Innledning
The course will provide the students with an understanding of what a mathematical model is and how we use models to gain insights into systems and processes in science and engineering. The course will train the students in using analytical and computational methods for analyzing and solving differential equations and prepare them for developing, analyzing and simulating mathematical models in their own projects. The models and methods taught in this course are generic and applicable not only in science, but also in various industrial contexts.
Læringsutbytte
No formal requirements over and above the admission requirements.
Arbeids- og undervisningsformer
A student who has completed this course should have the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
On successful completion of the course the student:
- knows the relevance of a selection of mathematical models to real-world phenomena
- has a thorough understanding of how mathematical modelling and scientific computing are utilized in various industrialized settings
- has a repertoire of methods to solve and/or analyze ordinary and partial differential equations (ODEs and PDEs)
- knows how to analyze the dynamics of an ODE system
Skills
On successful completion of this course the student can:
- derive mathematical models from facts and first principles
- apply mathematical modelling techniques on scenarios relevant to industry
- can implement mathematical models on a computer
- analyse ODE systems and use bifurcation theory to elucidate the qualitative behavior of the systems
- implement and use a selection of numerical methods for solving ODEs and PDEs
General competence
On successful completion of this course the student:
- is aware of the usefulness and limitations of mathematical modelling as well as of pitfalls frequently encountered in modelling and simulation
- is able to discuss properties of a system using the equations of the mathematical model
- can explain and use numerical methods and interpret results of numerical simulations
Arbeidskrav og obligatoriske aktiviteter
The course is organized as a series of lectures and seminars where the subject material is presented and discussed. Between these sessions the students should work with problem solving, implementation of numerical methods and model simulations. The last part of the semester students will work with a compulsory individual project supervised by the course lecturer. The project will involve studies and analyses of a mathematical model and a rather extensive implementation of the numerical solution of the model.
Vurdering og eksamen
None
Hjelpemidler ved eksamen
The assessment will be based on a portfolio of the following:
- One individual project delivery consisting of a report (2000 - 4000 words)
- An individual oral examination (30 minutes)
The portfolio will be assessed as a whole and cannot be appealed.
New/postponed exam
In case of failed exam or legal absence, the student may apply for a new or postponed exam. New or postponed exams are offered within a reasonable time span following the regular exam. The student is responsible for registering for a new/postponed exam within the time limits set by OsloMet. The Regulations for new or postponed examinations are available in Regulations relating to studies and examinations at OsloMet.
In the event of a postponed examination in this course the exam may be held as an oral exam. Oral exams cannot be appealed.
Vurderingsuttrykk
All aids are permitted, provided the rules for plagiarism and source referencing are complied with.
For the oral exam, students will only have access to the project report.
Sensorordning
Grade scale A-F.
Emneoverlapp
Two internal examiners. External examiner is used periodically.