MECH4000 Advanced engineering mathematics Course description

This course provides a selection of advanced topics in Mathematics needed for later courses of the Master program. Topics include: linear algebra, with a focus on abstract inner product spaces, similarity transforms and diagonalization, as well as quadratic forms and positive definiteness. Vector calculus and applications to thermodynamics. Classification, and the solution of certain types of ODEs and PDEs using methods such as Laplace and Fourier transforms. Variational calculus with applications.

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

Two external examiners will be used for the assessment.

Master thesis coordinator: assistant professor Nikola Holm

Writing workshop coordinator: professor Pavel Zemliansky

The academic writing workshops will cover topics such as

• Article genre conventions and structures, including IMRAD
• Understanding of the main elements of the writing process and management of writing projects
• Audience, purpose and context (rhetorical situation)
• Variations in academic style
• Disciplinary identity
• Patterns of paragraph development
• Coherence and cohesion
• Directness and formality
• Audience analysis
• Analysing, discussing and responding to academic texts

Written 6-hour exam under supervision.

In the event of a resit or rescheduled exam, an oral examination may be used instead. If an oral exam is used, the examination results cannot be appealed.

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