DAPE2000 Matematikk 2000 med statistikk Emneplan

Dette emnet skal sammen med Matematikk 1000 gi studenten forståelse for matematiske begreper, problemstillinger og løsningsmetoder med sikte på anvendelser. Videre skal det gi studenten forståelse for statistiske og sannsynlighetsteoretiske begreper, problemstillinger og løsningsmetoder med sikte på anvendelser innen eget fagfelt og ingeniørfag generelt.

Program Structure

The program constitutes a scientifically and pedagogically integrated whole; with compulsory and elective components (all comprising 10 ECTS), in addition to master’s theses of 40 ECTS.

Content of common compulsory courses

These courses provide basic insight and some practical skills in behavior analysis.

The philosophy of science that is fundamental to behavior analysis is introduced and placed in a wider context of philosophy of science. The status of various scientific approaches in modern society is discussed. The courses place the study of human behavior in a natural science tradition and emphasize a selectionist understanding of change processes. Basic ontological and epistemological questions are discussed: unity of knowledge; the relationship between natural sciences, social sciences and the humanities; determining and defining analytical units in research; and methodological approaches suitable for promoting effective action. Behavior analysis – experimental, conceptual and applied – is introduced as a cumulative science of behavior.

Compulsory courses

These courses are compulsory for all students:

• MALK4100 Science, Behavior, and Society
• MALK4000-403 Behavior Analysis and Radical Behaviorism
• MALKA211 Introduction to Behavior Analysis
• MALKA212 Refinement of Behavior Analytic Terms
• MALKA213 Laboratory Exercises – Experimental Analysis of Behavior
• MALKA214 Experimental Design and Functional Analysis

Content of elective courses

In the elective courses, various behaviorally based approaches to initiating, facilitating and managing change processes in individual behavior repertoire, organizations and systems are studied. Behavioral technology comprises everything from basic self-control techniques to sophisticated tools for initiating and managing complex processes in large organizations. Important features in this methodology are operational measures of change and continuous data collection.

Elective courses (a total of 20 ECTS)

Each student chooses two (2) of the following courses:

• MALKA215 Complex Human Behavior *
• MALKA217 Early Intervention for Children with Pervasive Developmental Disorders
• MALKA218 Ethical Considerations in Applied Behavior Analysis
• MALKA219 Organizational Behavior Management (OBM)
• MALKA220 Behavioral Economics
• MALKA221 Complex Systems and Risk Management (Not offered in 2025)
• MALKA222 Clinical Behavior Analysis

Elective courses are normally offered every Fall term. Students enrol for courses bydeadlines each semester, and thedepartment reserves the right to cancel courses with insufficient enrolment. Depending on the number of students enrolled, changes may be made in the way the courses are conducted.

Master's theses - 40 ECTS credits

Students write an individual master’s thesis worth 40 ECTS (MALK5920/MALKD5920). The thesis is usually a work in progress during the elective courses, when students participate in research projects with faculty.

By the end of the final course at the latest, the student submits a thesis outline, including a research question, a plan for progress, and a plan for dissemination (see guidelines, Thesis outline). When faculty approves the thesis outline, the student is assigned a supervisor for his thesis work. See the course descriptions for MALK5920/MALKD5920 for a more detailed description of the master’s thesis worth 40 ECTS.

Two compulsory seminars in research ethics cover academic honesty; the work of Regional Ethics Committees; the guidelines of OsloMet on research ethics and research fraud; current publication manuals and APA style manuscript preparation, and the use of electronic reference management tools. The seminars are taken place digitally and are open forstudents from all stages of the program. One seminar is held every semester, and both seminars must be completed before the proposal for the thesis is submitted.

The master’s thesis can be written in Norwegian, Swedish, Danish or English.

The program complies with the quality assurance systems required by the university.

Progression Requirements

All coursework requirements must be approved to sit for the final course exam. Coursework requirements must be approved to participate and submit coursework requirements according to the following:

• MALKA211: MALK4100 or equivalent
• MALKA212: MALK4100, MALKA211, or equivalent
• MALKA213: MALK4100, MALKA211, MALKA212, or equivalent
• MALKA214:MALK4100, MALKA211, or equivalent
• MALKA215: MALK4100, MALK4000-403, MALKA211, MALKA212, MALKA214, or equivalent
• MALK/MALKD5920: All courses in the specialisation must be completed with pass grades and the coursework requirements, including seminars in research ethics, must be approved before the candidate may submit the master’s thesis.

Exemption from the provisions of progression requirements may in special cases and upon application by the student, be granted.

Ingen forkunnskapskrav.

Etter å ha fullført dette emnet har studenten følgende læringsutbytte definert i kunnskap, ferdigheter og generell kompetanse.

Kunnskap

Studenten kan:

• bruke lineær algebra til å finne egenverdier og løse systemer av differensiallikninger og løse andreordens lineære differensiallikninger med konstante koeffisienter
• drøfte funksjoner av flere variable og anvende partielt derivert på ulike problemstillinger
• gjøre rede for konvergens og potensrekkeutvikling av funksjoner
• gjøre rede for sentrale begreper innen mengdelære, sannsynlighetsteori, parameterestimering, hypotesetestingsteori og modellvalg
• gjøre rede for sannsynlighetsfordelingene normal, binomisk, Poisson og eksponential og typiske problemstillinger hvor de kan anvendes

Ferdigheter

Studenten kan:

• beregne egenvektorer og diagonalisere matriser
• anvende diagonalisering av matriser til å løse systemer av differensiallikninger
• bestemme konvergens av rekker med forholdstesten, samt finne Taylor-rekken til kjente funksjoner
• beskrive og drøfte funksjoner av flere variable bl.a. ved bruk av nivåkurver og partielle deriverte
• bestemme og klassifisere kritiske punkter til funksjoner av to variable
• anvende statistiske prinsipper og begreper fra eget fagfelt
• utføre grunnleggende sannsynlighetsregning med diskrete og kontinuerlige fordelinger. og parameterestimering
• regne ut konfidensintervaller og utføre hypotesetester
• anvende matematikkverktøy på matriser 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
• benytte statistiske tenkemåter på ingeniørproblemstillinger og formidle disse skriftlig og muntlig
• løse ingeniørproblemstillinger ved sannsynlighetsregning, statistisk forsøksplanlegging, datainnsamling og analyse

Det undervises i fellesforelesning og øvinger. I øvingstimene arbeider studentene med oppgaver, dels individuelt, dels i grupper og får veiledning av faglærer.

The Master's Program in Behavioral Science comprises 120 ECTS credits in accordance with § 3 of the National Regulations Relating to Requirements for a Master’s Degree, appointed by the Ministry of Education and Research on December 1st, 2005. A successfully completed program leads to the degree Master of Behavioral Science /master i atferdsvitenskap.

The study program is established in accordance with the Act Relating to Universities and University Colleges of 1 April 2005 and Regulations Relating to Studies and Examinations at OsloMet - Oslo Metropolitan University 26 June 2012.

The program teaches modern behavioral science. The term behavioral science has no agreed-upon definition and may refer to different things in different settings. When used as part of the current program, the term should be understood in the context of the idea that a natural science approach to human behavior is both interesting and important to explore. Aspects of natural science relevant for this master´s program in behavioral science include a focus on empirical investigation, the use of experimental methods, and resulting empirically defined units of analysis. Behavioral science aims to explore and develop a natural science approach in several domains, including in conceptual development and philosophy, in experimental analysis and other parts of basic science, and in the application of scientific principles to generate desirable change. A type of behavioral science called behavior analysis is central to the program. Behavior analysis is concerned with investigating systematic relationships between the environment and behavior and considers both public and private events. Behavior analysis may be viewed as a selectionist science taking into consideration both phylogenetic, ontogenetic, and cultural phenomena.

The knowledge, skills and competence from the program are useful when designing, implementing, managing and documenting processes of change for individuals and in systems. Interventions taught in the program are empirically based and well suited for measuring and assessment of outcomes.

The program includes compulsory courses and elective courses, in addition to the master’s thesis. A more detailed overview of the program’s structure for each specialisation is given under the section Content and structure.

Master’s Program in Behavioral Science

The program aims to give students a comprehensive overview of the science of behavior analysis. The study consists of courses designed to provide general knowledge of the conceptual framework and philosophy of behavior analysis and complementary fields. The program has a 70 ECTS compulsory course package, with 20 ECTS elective courses (two courses each worth 10 ECTS) and a master’s thesis worth 30 ECTS. The concepts of behavior analysis are generic, and not exclusively relevant for specific target groups or populations. Behavioral interventions in such diverse fields as behavioral economics, concept formation and complex human behavior, teaching special needs-students, organizational behavior management, clinical behavioral treatment, and behavioral safety and risk management provide practical applications of behavioral principles. These topics are included in elective courses to demonstrate the value of the behavioral approach. The theoretical grounding and practical applications provide a strong knowledge base for students to write their thesis, that usually describes the design, implementation, and evaluation of an intervention conducted under the time constraints and practical considerations of a one-semester workload. Except for two compulsory seminars in research ethics, there is no attendance required. However, this is a demanding and exacting program, and students are advised to follow lectures and to participate in a research or lab group preparation of their thesis.

Career opportunities and post-graduate studies

Graduates of the program will usually have a set of professional skills from their undergraduate studies, and the program enhances and adds value to those skills. Graduates have found rewarding work in a variety of settings both in the private and public sector. Former students are working in the fields of:

• general, special, and higher education
• health and social services
• leadership and human resource management
• scientific research

(The list not exhaustive)

The program prepares the graduates for Ph.D. studies.

The master program is accredited by Association for Behavior Analysis International (ABAI).https://www.abainternational.org/accreditation.aspx

Prospective students have a bachelor's degree and an interest in the science or philosophy of behavior, and recognize the need for effective behavioral interventions.

Hjelpemidler høsten 2021:

Alle hjelpemidler tillatt, utenom kommunikasjon med andre

[Hjelpemidler tidligere:]

Hjelpemidler vedlagt eksamen, samt håndholdt kalkulator som ikke kommuniserer trådløst og som ikke kan regne symbolsk. Dersom kalkulatoren har mulighet for lagring i internminnet skal minnet være slettet før eksamen. Stikkprøver kan foretas.

Karakterskala høsten 2021:

Bestått/Ikke bestått

[Karakterskala tidligere:]Gradert skala A-F.

A graduate of this program has acquired the following learning outcomes defined as knowledge, skills and competence:

Knowledge

The graduate can

• demonstrate thorough familiarity with principles of behavior analysis
• discuss therelationship between theoretical knowledge, experimental analysis, and applied science
• understand the difference between description, prediction, and explanation
• demonstrate theoretical and working knowledge of the ethical principles that govern scientific research and interventions in applied settings

Skills

The graduate can

• analyze behavior using the principles of behavior both in research and in applied settings
• conduct experiments and demonstrate working knowledge of scientific methodology
• demonstrate appropriate strategies for evaluating the effects of independent variables and interventions by using different designs and inferential statistics
• critically assess the quality of scientific information
• conduct and report a supervised research project with a behavioral perspective in accordance with research ethical guidelines and regulations
• integrate behavioral principles with knowledge from other fields
• communicate with professionals in different fields

Competence

The graduate can

• contribute to thedevelopment of evidence-based methods for intervention and behavior change
• share knowledge and skills with the public and peers according to the standards of professional scientific communication, including the current APA standards
• justify his/her professional behavior with reference to relevant professional and ethical guidelines, general ethical considerations, and assessment of the situation.