Emneside for ING3302 Anvendt lineær algebra og statistikk

Knowledge

After completing the course, the cadet is able to:

• explain how the tools, methods and theory of  linear algebra can be used to solve practical problems

• explain important theories within the core areas of probability calculation and statistics

• refer to several options within stochastic models

• describe the foundations of the theory of decision analysis (dicision where risks are involved)

• explain key concepts, results and methods within stochastic methods, as well as when different results and methods can be applied to solve engineering and other practical problems

Skills

After completing the course, the cadet is able to:

• use relevant mathematical and statistical systems of symbols and formulas and manipulate symbols and formulas

• solve complicated technical problems using methods of linear algebra

• formulate and solve stochastic problems, both analytically and numerically, and evaluate and explain the achieved results

• use stochastic and statistical methods and tools relevant to his/her field of study

General competences

After completing the course, the cadet is able to:

• communicate with others about stochastic and economic models both orally, in writing and using a system of formulas.

• explain how risk can be modelled, measured and calculated

• use mathods in statistics to make dicisions

• refer to how new knowledge and methods in stochastic modelling are developed, and what significance this has for the field of engineering

Det legges vekt på å bruke eksempler fra andre tekniske emner og fra tjeneste i Sjøforsvaret som illustrasjon av emnet.

Det forventes ca 16 timer arbeidsinnsats per uke (forelesning, oppgaveløsning, prosjekt, selvstudium).

• Antall sider pensum: 64 (i tillegg til kompendium)

• Croft, A., Davison, R., Hargreaves, M., & Flint, J. (2013). Engineering Mathematics - A Foundation for Electronic, Electrical, Communications and System Engineers (4.utg.). Harlow: Pearson-Education (kap. 8).

• Berle, E., Langholm, T., & Meen, K.: Kompendium. Sjøkrigsskolen 2018 (kap.: Sannsynlighetsmodeller, Markovkjeder og Matematisk statistikk).

Vurderingsform: Skriftlig eksamen, individuell

Varighet: 4 timer

Karakterskala: A-F

Andel: 50 %

Eksamen må bestås.

Hjelpemidler: Godkjent kalkulator og skolens formelsamling

Vurderingsform: Mappevurdering, individuell. Mappen er basert på 1 til 2 prøver, 2 til 3 innleveringer og 1 prosjektoppgave. Innholdet i mappen vil bli kunngjort ved semesterstart.

Varighet:1 semester

Karakterskala: A-F

Andel: 50 %: