MAMO2200 Advanced modeling and computing Course description

Alle hjelpemidler er tillatt så lenge regler for kildehenvisning følges;

The course builds on

• MAMO1100 Introduction to modeling and computing
• DAFE1000 Mathematics 1000
• DAPE2000 Mathematics 2000 with statistics

Bestått / Ikke bestått

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 can:

• explain methods for the numerical solution of nonlinear algebraic equations and differential equations.
• explain how and in which cases functions can be approximated with polynomials and trigonometric functions.
• explain standard methods and the use of stochastic simulations for estimating definite integrals.
• explain the fundamental properties of stochastic processes and Markov chain models.
• explain how the numerical methods can be implemented in Python.

Skills

The student can:

• use and implement methods for the numerical solution of equations, as well as analyze deviations.
• use and implement methods for numerical integration.
• approximate functions using Taylor polynomials to analyze deviations in numerical integrators.
• use and implement methods for the numerical solution of initial value problems.
• use and implement Markov chain models.
• implement numerical methods using Python programming.

General competence

The student can:

• read and understand texts and participate in discussions regarding modeling, computation, and implementation.
• assess the accuracy of numerical estimates and choose appropriate parameters to ensure the estimates are accurate enough.
• interpret and evaluate the results of numerical calculations.
• assess which algorithms should be used in different cases.

Studiet kan tas som videreutdanning for grunn-, førskole- og faglærere.;Utdanningen tar sikte på å kvalifisere for undervisning i grunnskolen og andre undervisningsoppgaver.;

Generell studiekompetanse.

Studiet kan tas som videreutdanning for grunn-, førskole- og faglærere.;Utdanningen tar sikte på å kvalifisere for undervisning i grunnskolen og andre undervisningsoppgaver.;;;

Individual oral exam of about 30 minutes consisting of a student-led presentation followed by questions.

The exam result cannot be appealed.

In the case of a new or postponed exam, a different examination format may be used.

The student may use his/her own computer for the presentation.

Grade scale A-F

Two internal examiners. External examiners are used regularly.