BLH3310 Aesthetics and Special Needs – Nordic Childhoods Course description

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
• has a thorough understanding of the definitions of a smooth manifold and the tangent space
• knows the definitions and algebra of tensors and differential forms on a smooth manifold

;

Skills

On successful completion of this course the student:

• is able to derive mathematical models from facts and first principles for a selection of dynamical systems
• can apply mathematical modelling techniques on scenarios relevant to industry
• can implement mathematical models within the context of applied computer and information technology
• is able to analyse ODE systems and use bifurcation theory to elucidate the qualitative behavior of the systems
• is able to implement and use a selection of numerical methods for solving ODEs and PDEs
• is able to give examples of smooth manifolds and prove their smooth manifold property from the definition
• is able to use the geometric concepts and tools associated with smooth manifolds in the analysis of mathematical problems within mathematics, physics and engineering

;

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
• is aware of the role of smooth manifolds as one of the most fundamental concepts in mathematics and physics

;The language of all teaching and supervision is English, and the students should therefore have a working knowledge of both spoken and written English.;

None

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

The portfolio will be assessed as a whole and cannot be appealed.

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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 applying 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.

All aids are permitted. For the oral exam, students will only have access to the project report.

Grade scale A-F.

All exam aids are permitted. However, sources must be stated in accordance with the applicable rules for source references.

Part 1 will be evaluated as pass/fail.

Part 2 and 3 will be evaluated according to the ECTS grading scale, with A-E as pass grades and F as a fail grade. The criteria for the different grades will be presented to the students at the beginning of the course.

Part 2 accounts for 60% of the overall grade and part 3 for 40%.

The completion of the three parts will result in one final overall grade (A- F).

Part 1 will be reviewed and graded by internal examiners.

Part 2 will be reviewed and graded by internal and external examiners. ;

Part 3 will be reviewed and graded by internal examiners.