EMFE1000 Mathematics 1000 Course description

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

• 2 assignments in connection with training in Revit, 8 hours
• 3 individual assignments, manual drawing of building details, 9 hours
• Project work in groups, with submission of 4 sub-assignments, 20 hours

Individual written exam, 3 hours

The result of the exam can be appealed.

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

• explaining the derivative as instantaneous change
• using the definition of the derivative as a point of departure and explaining how to compute an approximate numerical value of the derivative
• calculating exact values of derivatives using analytical methods
• using the derivative to solve optimisation problems

• explaining indefinite integrals as antiderivatives
• using numerical and analytical methods to calculate definite integrals
• explaining how the definite integral can be used to calculate for example areas, volumes, area moments, charges and other variables

• explaining analytical and numerical methods for solving ordinary differential equations
• solving systems of differential equations
• calculating with complex numbers

• calculating with vectors, matrices and determinants
• transforming augmented matrices for systems of linear equations to reduced row echelon form
• explaining conditions for calculating the inverse of a matrix
• explaining the number of solutions in a linear system of equations
• describing linear transformations using matrices
• using computer tools to solve problems in linear algebra
• solving equations using by using numeric methods

Skills

The student is capable of

• using the derivative to model and analyse dynamic systems
• discussing how the idea behind the definition of the definite integral can be used to set up integrals for calculating variables
• discussing the ideas behind some analytical and numerical methods used to solve differential equations and formulating and solving differential equations that address practical problems in his/her own field
• discussing methods of solving linear systems of equations using matrix calculations and numerical methods of solving equations, and setting up and solving equations that adresses practical problems in his/her own field

General competance

The student is capable of

• assessing the results of mathematical calculations
• explaing and implementing basic numerical algorithms by means of assignment, for loops, if tests, while loops etc.
• writing precise explanations and reasons for using procedures, and demonstrating the correct use of mathematical notations
• assessing his/her own academic work and that of other students, and formulating written and oral assessments of these works in an academically correct and precise manner
• translating a practical problem from his/her own field into mathematical form, so that it can be solved analytically or numerically
• using mathematical methods and tools relevant to his/her field
• using mathematics to communicate about engineering issues

Morten Opsahl

Emnet er ekvivalent (overlapper 10 studiepoeng) med BYTS1400 Byggeteknikk.

Ved praktisering av 3-gangers regelen for oppmelding til eksamen teller forsøk brukt i ekvivalente emner

Individual written exam, 3 hours

The result of the exam can be appealed.

All printed and written aids. Calculator. MATLAB if feasible.

A grade scale with grades from A to E for pass (with A being the highest grade and E being the lowest pass grade) and F for fail is used for the final assessment.

One internal examiner. External examiners are used regularly.

The course is equivalent (overlap of 10 credits) to: TRFE1000, BYFE1000, ELFE1000, DAFE1000, KJFE1000, MAFE1000, MEK1000, FO010A and FO010D.

Under the rule that students may register for an exam three times, attempts in equivalent courses also count.