DAFE1000 Mathematics 1000 Course description

Skriftlig eksamen under tilsyn, fire timer.

Ny/utsatt eksamen

• ny og utsatt eksamen arrangeres som ved ordinær eksamen
• studentens rettigheter og plikter ved ny/utsatt eksamen framgår av forskrift om studier og eksamen ved OsloMet - storbyuniversitetet. Studenter er selv ansvarlige for å melde seg opp til eventuell ny/utsatt eksamen

Det benyttes gradert karakterskala med A som beste og E som dårligste karakter på bestått eksamen. Karakteren F brukes ved ikke bestått eksamen.

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence.

Skills

The student is capable of

• using the derivative to model and analyse dynamical systems.
• explain how the integral may be used in order to calculate quantities such as areas, volumes and work.
• discussing numerical methods for solving equations.
• discussing methods for solving systems of linear equations by means of matrix calculations.
• accounting for the number of solutions a system of linear equations has.
• solving equations which involve complex numbers.
• discussing the ideas behind some analytical and numerical methods which are used for solving first order differential equations.
• explaining key concepts such as iteration and convergence in relation to numerical methods.

Knowledge

This requires that the student is capable of

• determining exact values for the derivative and the antiderivative using analytical methods.
• using the definitions as a point of departure for computing approximate numerical values of the derivative and the definite integral and assessing the accuracy of these values.
• using the derivative to solve optimization problems.
• calculating sums and products of matrices, inverting matrices and determining determinants.
• performing calculations with complex numbers.
• solving equations by implementing numerical methods such as the bi-section method and Newton method.
• using Taylor-polynomials for approximating functions and determining the error for certain numerical methods.
• solving separable and linear differential equations using anti-differentiation.
• finding numerical solutions to initial value problems using the Euler method
• implementing basic numerical algorithms by means of assignment, for and while loops, if tests and similar.

General competence:

The student is capable of

• transferring a practical problem into a mathematical formulation, so that it can be solved, either analytically or numerically.
• writing precise explanations and motivations for using procedures, and demonstrating the correct use of mathematical notation.
• using mathematical methods and tools in numerical problems solving.
• using mathematics in communicating engineering issues.
• assessing the results of mathematical calculations.

Samfunnsfaglige perspektiver

• utdanning for bærekraftig utvikling
• hovedtrekk i norsk historie fra 1814
• demokratiopplæring i skole

Lærerprofesjonalitet i skolen

• lærerens mandat og oppgaver i lys av styringsdokumenter
• den norske skolens innhold og verdigrunnlag
• overganger mellom trinn og skoleslag
• demokratisk deltakelse og medvirkning

Lærerarbeid

• grunnleggende ferdigheter
• profesjonsetikk

The following coursework is compulsory and must be approved before the student can sit the exam:

• At least one individual written assignment in which the use of software is an integral part.

Individual written exam, 3 hours.

The exam result can be appealed.

In the case of a new and postponed exam, another form of exam can also be used or a new assignment with a new deadline is given. If an oral examination is used, this cannot be appealed.

All written and printed aids are allowed. Handheld calculator that cannot be used for wireless communication or to perform symbolic calculations. Random checks may be carried out.

Grade scale A-F

One internal examiner. External examiners are used regularly.

Martin Lilleeng Sætra