EPN-V2

ACIT4310 Applied and Computational Mathematics Course description

Course name in Norwegian
Applied and Computational Mathematics
Study programme
Master's Programme in Applied Computer and Information Technology
Weight
10.0 ECTS
Year of study
2019/2020
Curriculum
FALL 2019
Schedule
Course history

Introduction

Learning outcomes at the programme level for the Master's Degree Programme in Health Sciences

The student’s overall learning outcomes for the Master’s Degree Programme in Health Sciences fully cover the description of master’s degree level (level 7) of the Norwegian Qualifications Framework.

A candidate who has completed his or her qualification should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

The candidate

  • has advanced knowledge of health-related services and health-promoting work within their field of specialisation
  • can analyse academic problems on the basis of the history, traditions, distinctive character and place in society of the health sciences
  • has knowledge of different perceptions of body, health, illness, function and functional impairment
  • has in-depth knowledge of the individual’s right to autonomy and user participation, and of important considerations in the development of equitable health services and health-promoting work
  • has insight into the role of interprofessional cooperation in achieving results in health-related services and health-promoting work
  • has insight into the UN Sustainable Development Goals, particularly Goal 3, Good Health and Well-being, and an understanding of the connection between health and sustainable development in society
  • has thorough knowledge of the theory of science, research methods and ethics of particular relevance to health sciences and the area of specialisation

Skills

The candidate

  • can understand, motivate and cooperate with individuals and next of kin undergoing health-related learning, coping and change processes
  • can analyse existing theories, methods and interpretations in the field of health sciences and work independently on practical and theoretical problem-solving
  • can adapt health services and health-promoting work to different groups in society
  • can contribute to the expedient and correct use of technology to improve the quality of the health services
  • can use knowledge of quality improvement and implementation to improve the services
  • can analyse and deal critically with various sources of information and use them to structure and formulate scholarly arguments
  • can use relevant methods for research and scholarly and/or professional development work in an independent manner
  • can carry out an independent, limited research or development project within their specialisation under supervision and in accordance with applicable norms for research ethics

General competence

The candidate

  • can analyse the relationship between the individual, service and societal levels when designing health-related services and in health-promoting work
  • can contribute to innovation and quality improvement that builds on relevant knowledge of nursing gained from research and experience, and knowledge of users
  • can work in interprofessional teams in order to more efficiently address complex health challenges
  • has an international perspective in their field of specialisation
  • can assess their own research design and research method based on a specific research question
  • can disseminate relevant problems, analyses and research results to specialists and the general public in a way that meets research ethics requirements
  • can contribute to new thinking and innovation processes in the health services and in health-promoting work

Specialisation in Mental Health and Addiction

The following additional learning outcomes apply to candidates taking the Specialisation in Mental Health and Addiction:

  • has in-depth knowledge of communication, relationships, and interaction in prevention, treatment, rehabilitation, and habilitation in mental health and addiction
  • has advanced competence in mental health in different societal groups, as well as in factors that promote inclusion and participation
  • has advanced knowledge of the interaction between biological, psychological, social, and cultural factors with relevance to mental health and addiction
  • can possess advanced skills that include ethical reflection, awareness of one's own preconceptions, as well as users' and relatives' competence

Required preliminary courses

No formal requirements over and above the admission requirements.

Learning outcomes

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:

  • 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
  • can solve and/or analyse selected PDE models
  • is able to 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

Content

  • Approaches to scientific computing and implementation of mathematical models
  • Principles of modelling and derivation of mathematical models
  • Analysis, numerical solution and bifurcations of ODEs
  • Analysis and solution of linear PDEs
  • Numerical methods for computation of solutions of ODEs and PDEs

Teaching and learning methods

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 and result in a report.

Course requirements

None.

Assessment

A compulsory project will be assessed along with an oral exam:

A part of this exam will consist in a brief presentation of the candidate's project. The project (report of 3000-5000 words and presentation) will count 50% of the final grade, while the remaining 50% will be based on the oral examination.

The oral exam cannot be appealed.

Both exams must be passed in order to pass the course.

Permitted exam materials and equipment

Different forms of assessment are used on the programme that are adapted to the learning outcomes of the various courses. The forms of assessment used are intended to support learning and document the students’ level of competence in relation to the expected learning outcomes. The forms of assessment and criteria are described in each course description. All examinations taken and the title of the master’s thesis will be stated on the diploma. In general, the following forms of assessment are used in the programme:

Supervised individual examination

Taken at the university’s examination premises over a set number of hours.

Home examination

Taken over a set period of time at the end of the course, normally with a set question/assignment text unless otherwise stated in the course description.

Project examination

Taken over the whole or large parts of the course, normally with a topic decided by the students themselves unless otherwise stated in the course description.

Oral examination

Can take place individually or in groups. It can either be an independent form of assessment or used to adjust the grade awarded for another examination.

Practical examination

The assessment of specific practical skills either at the university or in the field of practice.

Assessment of practical training

Supervised practical training, assessed in accordance with the Regulations relating to Studies and Examinations at OsloMet – Oslo Metropolitan University Chapter 8.

The assessment of examinations and practical training is carried out in accordance with the applicable rules set out in the Act relating to Universities and University Colleges, the Regulations relating to Studies and Examinations at OsloMet and the Guidelines for Appointment and Use of examiners at OsloMet.

Examinations

All courses conclude with an examination. The assessment is based on the learning outcomes for the course, and the degree to which the student has achieved the stipulated learning outcomes is assessed. In theoretical courses, the grades used are pass/fail or letter grades from A to F, with A being the highest grade and E the poorest pass grade. The grade F means that the student has failed the examination. The grades pass/fail are used for the assessment of practical training.

Resit and rescheduled examinations are carried out in the same manner as the ordinary examination unless otherwise specified in the course description. In special cases, resit and rescheduled examinations in courses with group examinations may be held as individual examinations.

For examinations where a percentage of the examination papers are selected for assessment by an external examiner, the external examiner's assessment should benefit all the students. In such cases, one external and one internal Examiner will first grade the selected papers. The internal examiner then continues grading the remaining papers together with another internal examiner. The assessments from the first part are summarised to serve as guidelines for the assessments carried out by the two internal examiners.

The grade awarded for a written examination can be appealed, cf. Section 5-3 of the Act relating to Universities and University Colleges and the Regulations relating to Studies and Examinations at OsloMet. It is not possible to appeal the grades awarded for oral and practical examinations. In connection with group examinations, the result of an appeal will only have consequences for the candidate(s) who submitted the appeal. The other students will keep their original grade.

External programme supervisor

An external programme supervisor scheme is in place for the programme as required by the Guidelines for Appointment and Use of Examiners at OsloMet. The external supervisor will write an annual report on their work that will be included in the faculty’s area of the university’s quality assurance system.

Suitability assessment

The suitability assessment is a continuous overall assessment that takes place throughout the study programme. A student must be suitable for professional practice in order to receive diploma/certificate for the study programme.

If it appears that a student may pose a potential danger to the lives, physical and mental health, rights or safety of patients, clients and users during practical training or in future professional practice, it should be asked whether the student is suitable for the profession. University staff, personnel in practical training establishment, as well as students can submit a notification of doubt. The students concerned should be informed as soon as possible if such a notification of doubt has been sent. They should receive guidance and advice on how they can improve or be advised to withdraw from the programme.

https://student.oslomet.no/en/suitability-assessment

Suitability assessment is used in specialisation in Public Health Nursing, specialisation in Cancer Nursing and in Interdisciplinary Specialisation in Mental Health and Addiction.

Grading scale

Programme description considered by the Academic Affairs Committee at the Faculty of Health Sciences on 12 February 2020 and finally approved by the Vice Dean 13 March 2025.

Adopted by the University Board 9 september 2020

Faculty of Health Sciences

The programme description applies to students starting the programme in 2022

Examiners

Two internal examiners will assess the individual report and the oral presentation. External examiner is used periodically.