PENG9530 Avanserte emner innen bygningsteknikk Emneplan

Students taking the course must have a thorough knowledge of advanced calculus, including ordinary and partial differential equations. The student should also be familiar with linear algebra and Fourier and Laplace transform theory. In terms of programming, the candidate should have some experience in implementing numerical methods, including schemes for solving partial differential equations.

The candidate should also have a certain knowledge of mathematical analysis, modern physics or physiology – depending on specialization.

The course will be offered once a year, provided 3 or more students sign up for the course. If less than 3 students sign up for a course, the course will be cancelled for that year.

A panel of all presenters in the course, and at least one external representative will evaluate the report and the presentation.

Students who complete the course are expected to have the following learning outcomes, defined in terms of knowledge, skills and general competence:

Knowledge

Upon successful completion of the course, the student:

• Possesses comprehensive knowledge in specific advanced mathematical methods within the realm of the course, supplementing their existing specialization in applying mathematical methods in applied sciences.
• Demonstrates an advanced command of mathematical methods relevant to their doctoral research, positioning them at the forefront of knowledge in their chosen field.

Skills

Upon successful completion of the course, the student can:

• Apply advanced theoretical knowledge and mathematical techniques to solve intricate problems encountered in the application of mathematical methods.
• Strategically plan and execute scholarly endeavors within the scope of their doctoral research project, employing advanced mathematical methodologies.
• Critically analyze existing mathematical theories, methods, and solutions, both in theory and practical application, fostering a deeper understanding of complex mathematical problems.

General competence

Upon successful completion of the course, the student:

• Demonstrates competence in conducting extensive literature reviews, engaging in self-directed study, and employing research-based learning methodologies in advanced mathematical concepts.
• Applies acquired knowledge and skills to tackle sophisticated tasks and projects encountered in the domain of advanced mathematical methodologies.
• Effectively communicates intricate mathematical concepts, analyses, and solutions to audiences with varying levels of mathematical expertise, showcasing the ability to bridge specialist and non-specialist communication gaps.
• Exhibits the capacity to recognize the necessity for innovation within the realm of advanced mathematical methodologies and can initiate innovative approaches within their expertise.

Pass or fail.

The following required coursework must be approved before the student can take the exam:

• Completion of an extensive individual project in the specialised module.

None.

None.

Recommended prerequisites include a Master’s degree in Mathematics/Applied Mathematics/Computer Science/Physics or a related field, accompanied by foundational knowledge in calculus, linear algebra, and basic programming.

Both the presentation of the case in Module 3 of the course and the tool summary document in the practical training part the course will form basis of assessment.

Both exams must be passed in order to pass the course.

The oral presentation cannot be appealed.

Pass or fail.