MECH4000 Advanced engineering mathematics Course description

Alle hjelpemidler er tillatt så lenge regler for kildehenvisning følges

Students are expected to have prerequisite knowledge in mathematics and programming corresponding to national guidelines for a BSc degree in engineering.

Knowledge:   

The candidate

• can classify matrices in terms of positive definiteness and eigenstructure.
• can explain the relationship between properties of a quadratic form and its defining matrix.
• can explain how Euler’s formula dictates the behaviour of solutions to differential equations.
• can explain the variational operator in contradistinction to the differential operator and establish when the use of the former is required.
• can explain the Fourier series approximation in the context of projections onto function subspaces.
• can classify a PDE and outline methods to solve it including Fourier and Laplace transforms.

Skills:   

The candidate

• can calculate the eigenstructure of a square matrix and determine diagonalizability and positive definiteness.
• can apply the Gram-Schmidt process to obtain an orthormal basis for a given inner product space.
• can apply multiple integration and vector calculus to solve relevant engineering problems.
• can solve parabolic, hyperbolic, and elliptic PDEs using the methods of Fourier or Laplace transforms where applicable.
• can apply variational calculus to derive differential equations based on the minimization of the integral form.
• can use the principle of least action to derive the Euler-Lagrange equations of mechanics.

General competence:  

The candidate

• can communicate extensive, independent work, mastering the language and terminology of engineering mathematics.
• can discuss mechanical engineering problems with peers using the terminology of engineering mathematics.
• can contribute to innovative thinking and novel solutions precipitated by applying diverse mathematical modelling paradigms and classification methods.
• can model phenomena in solid mechanics, fluid mechanics and mechatronics using the language of mathematics, in particular PDEs, variational methods and linear transformations.

Det benyttes intern og ekstern sensor til sensurering av besvarelsene.

Et uttrekk på minst 25 % av besvarelsene sensureres av to sensorer. Karakterene på disse samsensurerte besvarelsene skal danne grunnlag for å fastsette nivå på resten av besvarelsene.

None

Jennifer Drummond Johansen

Marianne Rugkåsa (co).

A handheld calculator that cannot be used for wireless communication or to perform symbolic calculations. If the calculator’s internal memory can store data, the memory must be deleted before the exam. Random checks may be carried out.

Graded scale A-F

One internal examiner. External examiner is used periodically.

Tore Flåtten