BYFE1000 Mathematics 1000 Course description

Det benyttes intern og ekstern sensor, og det gis samme karakter til alle studentene i gruppen.

Dette emnet gir studenten kunnskap om og erfaring i feltarbeid med datainnsamling. Feltarbeidsland, tema og problemstilling for feltoppgaven bestemmes i løpet av de to emnene studenten tar i høstsemesteret, det er derfor knyttet forkunnskapskrav til dette emnet. Feltarbeidet og oppgaveskrivingen foregår over store deler av vårsemesteret, der studentene planlegger, gjennomfører minst fem ukers feltarbeid og skriver en feltoppgave i fellesskap. Feltarbeidets funksjon er å sammenføye på en praktisk gjennomførbar og akademisk forankret måte, forutgående ervervet metodekunnskap, kunnskap om globale utviklingsspørsmål, utviklingsteorier og regionalkunnskap.

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 is capable of

• determining exact values for the derivative and the anti-derivative using analytical methods
• using the definitions to determine numerical values of derivatives and of definite integrals and assess the accuracy of these values
• using the derivative and higher order derivatives to solve optimization problems, problems of related rates, and to calculate linear approximations and Taylor polynomials
• explaining how definite integrals are used to calculate area, volume and arc length
• solving separable and linear differential equations by means of anti-differentiation
• explaining how direction fields of first order differential equations can be used to visualize the solutions to equations
• finding numerical solutions of initial value problems using Euler's method
• solving equations by the halving method and Newton's method
• performing calculations using complex numbers

Skills

The student is capable of

• using the derivative to model and analyze dynamic systems
• setting up and calculating quantities which involve integrals
• discussing the ideas underlying some analytical and numerical methods used to solve first-order differential equations
• setting up and solving differential equations for practical problems
• discussing numerical methods for solving equations
• solving equations with complex coefficients and complex solutions

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 relevant to their field of study
• using mathematics to communicate and discuss engineering problems
• evaluating results from numerical calculations and understanding basic numerical algorithms that use assignment, for-loops, if-tests, while-loops and the like, and explain key concepts such as iteration and convergence
• explain that change and change per unit of time can be measured, calculated, summed and included in equations

The teaching is organised as scheduled work sessions. During these sessions, the students practise using the subject matter that is presented. Some of the teaching will comprise problem-solving practice, using numerical software as a natural component. Exercises include discussion and cooperation, and individual practice on assignments. Between the scheduled work sessions, the students must work individually on solving problems and studying the syllabus.

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

• at least 3 individual written assignments in which the use of software in an integral part.

Interaction design is an interdisciplinary discipline in which experts from several disciplines are involved in the development process from idea to final product. Product design, graphic design, anthropology, communication and cognitive psychology are included as subject disciplines in addition to information technology.

In the course the students will get to know these subject areas, but the practical work will be limited to the development of prototypes, user testing, evaluation and some graphic design.

No requirements over and above the admission requirements.

Grade scale A-F.

One examiner. The course may be selected for grading by external examiners.

Lectures and work on practical assignments. Case studies are included as part of the teaching. The students work in groups. Group size is usually 3 to 5 students (Determined by the course leaders).