BYPE2000 Matematikk 2000 Emneplan

Dette emnet skal sammen med Matematikk 1000 gi studenten forståelse for matematiske begreper, problemstillinger og løsningsmetoder med sikte på anvendelser. Arbeidet med emnet vil gi øvelse i å bruke matematisk programvare for å gjøre studentene i stand til å utføre beregninger i en jobbsituasjon.

Ingen forkunnskapskrav.

Etter å ha gjennomført dette emnet har studenten følgende læringsutbytte, definert som kunnskap, ferdigheter og generell kompetanse:

Kunnskap

Studenten kan:

• bruke matriseregning til å løse systemer av linære likninger
• bruke lineær algebra til å finne egenverdier og løse systemer av differensiallikninger
• gjøre rede for konvergensbegrepet og metoder for å bestemme konvergens
• gjøre rede for potensrekkeutvikling av funksjoner og tilnærming ved Taylorpolynomer
• drøfte funksjoner av flere variable og anvende partielt derivert på ulike problemstillinger

Ferdigheter

Studenten kan:

• Gauss-Jordan eliminasjon og matriseregning
• finne inverse matriser og determinanter
• beregne egenvektorer og diagonalisere matriser
• anvende diagonalisering av matriser til å løse systemer av differensiallikninger
• bestemme konvergens av rekker med bl.a. forholdstesten, samt kunne derivere og integrere potensrekker leddvis
• finne Maclaurinrekker og tilnærmingspolynomer til kjente funksjoner og bruke Taylorpolynomer til å finne tilnærmingsverdier for integraler og grenseverdier
• beskrive og drøfte funksjoner av flere variable bl.a. ved bruk av nivåkurver og partielle deriverte
• tolke gradient og retningsderivert geometrisk og anvende lineær tilnærming og totalt differensial for funksjoner i flere variable til å bestemme målefeil og usikkerhet
• bestemme og klassifisere kritiske punkter til funksjoner av to variable
• anvende matematikkverktøy på matriser, rekker og funksjoner av to variable

Generell kompetanse

Studenten kan:

• identifisere sammenhengen mellom matematikk og eget ingeniørfag
• overføre et praktisk problem fra eget fagområde til matematisk form, slik at det kan løses - analytisk eller numerisk
• bruke matematiske metoder og verktøy som er relevante for sitt fagfelt

Fellesforelesning og øvingstimer. I øvingstimene arbeider studentene med oppgaver, dels individuelt, dels i grupper og får veiledning av faglærer.

The language is normally English.

This joint course is developed for all the Bachelor programmes at the Faculty of Health Sciences which are part of RETHOS (National guidelines for the Health and Social Studies), and is considered as an introductory course, preferably taken during the first part of the study programme.

In this course, starting with relatable examples, students will learn about asking critical questions about health claims and the sources of claims. This is followed up by focusing on the rationale for evidence-based practice (EBP) and its Core Competencies: Ask, Acquire, Appraise and Interpret, Apply, and Evaluate, and shared decision-making. The course provides a foundation for learning and applying more advanced and field-specific skills.

The student must have been admitted to the study programme.

On successful completion of the course, the student has acquired the following learning outcomes classified as knowledge, skills and competence:

Knowledge

The student

• can define what EBP is and recognizes the rationale for EBP and shared decision making
• knows the steps of EBP
• is familiar with the levels in the S-pyramid and acknowledges the difference between single studies and systematic reviews
• knows the characteristics of a scientific article, e.g. IMRAD
• can explain the purpose and characteristics of qualitative and quantitative studies and syntheses of studies, e.g. systematic reviews
• understands the principles for critical appraisal and knows how to use check lists for different study designs, clinical guidelines and professional procedures
• knows different types of categorical and continuous measures of association and effect, and key graphical presentations

Skills

The student

• can identify different types of professional/clinical questions, such as questions about treatment, diagnosis, prognosis, experiences and etiology
• can, for each type of clinical question, identify the preferred order of study designs
• can formulate searchable professional/clinical questions using e.g. PICO and variations of PICO
• can construct and carry out an appropriate and simple search strategy for professional/clinical questions from the top of the S-pyramid

General competencies

The student

• can critically assess health claims in the media
• can discuss the importance of user knowledge, clinical experience, and summarized research in clinical decision-making

The following required coursework must be approved before the student can take the exam:

• Compulsory attendance at the seminar on literature search (normally week 1 of the course).Compensatory work requirement if not present: The student must choose a different health claim, create a PICO based on this health claim, and describe a search for this PICO in Up-To-Date, Health Library according to guidelines or in Cochrane Library. The assignment is not academically assessed by the person with the course responsibility, but it will be registered (in Fagpersonweb) that the work requirement has been submitted and the student will find the registration in studentweb.
• Compulsory attendance at the Help-desk seminar (normally week 2 of the course) where students/exam groups ask questions and receive answers/guidance on the exam assignment. Compensatory work requirement if not present: In case of absence, students must submit 2 questions to the exam assignment and provide an academic justification for the questions of up to 100 words. The assignment is not academically assessed by the person with the course responsibility, but it will be registered (in Fagpersonweb) that the work requirement has been submitted and the student will find the registration in studentweb.

Project examination, consisting of a group assignment with up to 7 students, based on a case with a health claim in the media. The assignment will include the levels of the EBP model. The assignment is submitted as a written paper of 1500 words (+/- 10 prosent) according to further specified criteria.

Each group decides whether their assignment is to be submitted in Norwegian, Swedish, Danish or English.

Resit exam: If the assignment is given the grade fail, the group can submit a revised version once.

If this attempt fails, the group is entitled to a third and final attempt. In a third attempt, the group must choose a new health claim and submit a new examination paper.

All aids are permitted, as long as the rules for source referencing are complied with.