MEK2000 Mathematics 2000 Course description

This course, together with Mathematics 1000, will give the students an understanding of mathematical concepts, problems and solution methods with the focus on application, particularly in engineering subjects.

Grade scale A-F

No requirements over and above the admission requirements.

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 how functions can be approximated by taylor polynomials, power series and/or fourier series, explain what it means that a series converge, and differentiate and integrate powerseries.
• explaining what a frequency spectrum is, and explaining the principle of filtering signals in the frequency domain.
• describing and explaining how a sequence of numbers can originate by sampling, by using a formulae or as the solution of a difference equation.
• explaining how to interpolate sampled data.
• explaining partial differentiation and using different graphical ways to describe functions of two variables
• calculating eigenvalues and eigenvectors of matrixes and giving a geometrical interpretaions of these values

Skills

The student is capable of:

• discussing the connection between fourier series and fourier transforms
• discussing pro and cons using interpolating polynomials, splines and least squares method to interpolate sampled data
• discussing error barriers when using polynomials to approximate functions
• using simple tests of convergence of series, for example the ratio test
• giving a geometrical interpretation of gradient and directional derivative and using linear approximation and total differential of functions of two variables to calculate uncertainty
• using partial differentiation to calculate and classify critical points of functions of two variables
• using eigenvalues and eigenvectors to solve systems of differential equations with constant coeffisients

General competence

The student is capable of:

• identifying the connection between mathematics and their own field of engineering
• translating a practical problem from their own field into mathematical form, so that it can be solved analytically or numerically
• using mathematical methods and tools that are relevant to their field of engineering
• assessing the results of mathematical calculations and using basic numerical algorithms

The course provides a fundamental understanding of the structure of the human body, from the individual cell to the large organ systems and the functioning of organs. Knowledge of topographical anatomy is a prerequisite for being able to locate anatomical structures that appear in images produced by means of diagnostic imaging methods. Physiology is likewise important to carrying out dynamic diagnostic imaging examinations. This knowledge is vital to sound professional practice as a radiographer.

The course will provide a basis for developing an understanding of and the ability to assess the aesthetics, styles and architecture of our built-up environment and historical development to date. The course will develop students insight into the concept of building tradition and the adaptation of new buildings and building projects to their surroundings. It will also give students knowledge of the constructional history of architecture.

Elective courses are set up under precondition that there are enough students in the course.

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and competence:

Knowledge

The student:

• has knowledge of the historical development of building architecture in Norway and Europe, and has learnt to identify the most important architectural styles
• has knowledge of constructional architectural history
• has knowledge of the main characteristics of and differences between local building traditions in Norway
• has knowledge of the historical development of urban planning and the design of street networks and outdoor spaces in built-up environments
• has knowledge of how environmental considerations and the desire for sustainable development can be linked to the concept of building traditions in order to develop good residential environments

Skills

The student:

• is capable of seeing a building project from the architect's perspective when designing and dimensioning a building
• is capable of making the right choices in connection with planning and building applications by using his/her knowledge of architecture, building traditions and aesthetics, and of ensuring good adaptation to the existing built-up environment, the scenery and the surroundings
• is capable of meeting the Planning and Building Act-s requirements for building traditions and aesthetics
• understands how building traditions and aesthetics can be addressed in building projects, and particularly in connection with urban renewal/regeneration (balconies, retrofitting of insulation, noise barriers), densification, annexes/extensions etc.
• has knowledge of how environmental considerations and the desire for sustainable development can be linked to the concept of building traditions

General competence

• The student:is capable of making sensible choices in connection with planning and building applications based on an overall assessment of the many requirements for aesthetics and compliance with building tradition
• benefits from his/her knowledge of constructional architectural history when designing buildings
• is capable of proposing more sustainable urban development

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:

• has a basic understanding of the principles of molecular biology
• can explain how biotechnological production organisms are generated through classical mutagenesis, protoplast fusion and recombinant DNA technology
• can describe how DNA is amplified using PCR and real-time PCR (qPCR)
• can outline how hybridisation techniques such as Southern blot, northern blot and colony hybridisation are used
• can name different biotechnology methods and processes
• is familiar with the principles for microorganism growth and the production of biomolecules in fermenters
• can explain the structure of viruses, how viruses infect cells and develop in both lytic and lysogenic cycles
• can explain non-specific and specific immunity and the structure and function of antibodies in the body

Skills

The student is capable of:

• selecting restriction enzymes and vectors in recombinant DNA technology
• transforming bacteria with the use of electroporation
• using techniques to isolate DNA fragments from agarose gels
• concentrating DNA fragments with the use of PCR
• can genotype using real-time PCR (qPCR)

General competence

The student:

• is capable of planning and performing biotechnology and molecular biology laboratory experiments
• demonstrates awareness of ethical consequences of genetic engineering methods in connection with the development of genetically engineered organisms, foetal diagnostics, forensic analyses and DNA analyses in connection with genetic disorders
• is capable of assessing and communicating results from biotechnological and genetic engineering laboratory experiments, both orally and in writing

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

• 6-day laboratory course and 3 written reports (1 individual lab journal and 3 reports in groups of 2-4 students, 10-20 pages per report)
• 2 of 8 exercises

Supervised individual written exam, combination of multiple choice and free text assignments, 3 hours

9 studiepoeng overlapp med RAD1200 Anatomi og fysiologi.