MEK1000 Mathematics 1000 Course description

Through the work in this course, the students will gain insight into areas of mathematics that are important to the modelling of technical and natural science systems and processes. The topics covered are included in engineering programmes across the world and are necessary in order to enable engineers to communicate professionally in an efficient and precise manner and participate in discussions in professional contexts later in the programme.

Admission to the PhD programme.

The course can also be offered to students who have been admitted to the "Health Science Research Programme, 60 ECTS", by prior approval from the supervisor and based on given guidelines for the research programme.

None.

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge:

The student is capable of

• explaining the use and solution of differential equations in the modelling of practical systems and performing simple analyses of such models
• explaining the concept of functions, the derivative, and the definite and indefinite integral
• explaining the relationship between linear equation systems and practical problems
• solving equations numerically using the bi-section method and Newton method.

Skills:

The student is capable of

• solving separable and linear differential equations with the help of anti-derivation
• solving homogeneous and nonhomogeneous second-order differential equations with constant coefficients
• calculating with complex figures and solving equations with complex solutions
• using basic arithmetic operations for matrices, such as multiplication, addition and inversion
• solving linear equation systems in reduced row echelon form and inversion
• calculating exact values for the derivative and the anti-derivative for certain elementary functions
• using the definite integral to calculate sizes as area and volume
• using derivation for, for example, optimisation and related rates

General competence:

The student is capable of

• transferring a practical problem from their own field into a mathematical form
• writing precise explanations and reasons for using procedures, and demonstrating the correct use of mathematical notation
• using mathematical methods and tools of relevance to the field
• using mathematics to communicate about engineering issues
• explaining how changes and changes per unit time can be measured, calculated, summed up and incorporated into equations

The teaching is organised as lectures, exercises and laboratory course

Følgende arbeidskrav er obligatorisk og må være godkjent for å fremstille seg til eksamen:

6-7 individuelle skriftlige innleveringer.

Individual written exam, 3 hours.

The exam result can be appealed.

In the event of a resit or rescheduled exam, oral examination may be used instead of a written exam. If oral exams are used for resit and rescheduled exams, the exam result cannot be appealed.

All printed and written aids. Calculator.

A grade scale with grades from A to E for pass (with A being the highest grade and E being the lowest pass grade) and F for fail is used for the final assessment.

This course is based on PHVIT9100, Health Sciences II: Philosophy of Science, Research Ethics and Research Methodology. The course takes a critical perspective of key methodological traditions in qualitative research, focusing particularly on phenomenology, hermeneutics, and discourse analysis. Topics covered include research design, research interviews and different forms of interviewing methods, and observation as a research method. Emphasis is placed on the application of advanced strategies for analysing complex data material within the respective research traditions.

On completion of the course, the PhD candidate has achieved the following learning outcomes, defined in terms of knowledge, skills, and general competence:

Knowledge

The PhD candidate:

• is at the forefront of knowledge in selected qualitative research designs and their theoretical basis, and related methodological considerations
• has in-depth knowledge and understanding of interviews and observation as methodological research tools in the phenomenological, hermeneutic, and discourse-analytic research traditions
• can evaluate the usefulness of different forms of analysis, interpretation, and documentation within the relevant traditions

Skills

The PhD candidate can:

• plan a health science research project with relevant qualitative designs and methods
• analyse, interpret, and disseminate the results of qualitative research
• address complex scientific issues and challenge established knowledge and practice in qualitative methodology

General competence

The PhD candidate can:

• argue in favour of particular qualitative approaches based on scientific theory
• identify relevant ethical issues and conduct research based on qualitative methodology with professional integrity
• participate in discussions on qualitative methodology