autumn 2017
SMN6201 Analytical Computations - 7.5 ECTS

Application deadline

Applicants from Nordic countries: 1 June. Exchange students and Fulbright students: 15 April

Type of course

The course may be taken as a single subject.

Admission requirements

A relevant undergraduate bachelor Engineering programme with minimum 30 credits Mathematics/statistics topics

Application code: 9371


Course content

The purpose of this course is to provide an introduction to the theory of complex functions applied to some 2-dim. fluid problems, heat conduction problems and elasticity problems

The syllabus of the course are topics such as

  •  
    • complex numbers, complex functions
    • Cauchy-Riemann equations
    • complex integration
    • Taylor and Laurent series
    • Fractals, residue theory 
    • Max.-mod. Principle
    • Potential Theory
    • Bernoulli's law
  • 2-dim. fluid problems and heat conduction  
  • bi-harmonic equation
  • 2D elasticity theory 

Large parts of the course will be conducted using video lectures by using the PC. The course is therefore highly suitable for students who choose to take a decentralized education and who are unable to stay at Narvik in the whole course period.

For more information, see the course homepage which you can access through Its Learning when you are registered for the course.


Objectives of the course

Knowledge

After completing the course, the candidate:

  • has some knowledge  within the academic field of mathematics, physics and engineering and specialized insight in a limited area within the field of engineering design (K1)
  • can apply knowledge to new areas within the academic field of numerical and analytical calculations, computations, materials, systematic design process, computational methods, engineering design (K3)
  • can analyze academic problems on the basis of the history, traditions, distinctive character and place in society of the academic field in engineering (K4)

Skills

After completing the course, the candidate:

  • can carry out an independent, limited research or development project under supervision and in accordance with applicable norms for research ethics (S4)

General competence

After completing the course, the candidate:

  • can analyze some relevant academic, professional and research ethical problems (GC1)

Language of instruction and examination

English

Teaching methods

Large parts of the course will be conducted using video lectures by using the PC. The course is therefore highly suitable for students who choose to take a decentralized education and who are unable to stay at Narvik in the whole course period. For more information, see the course homepage which you can access through Its Learning when you are registered for the course.

Assessment

Mandatory tasks:

At the start of the written exam, the students bring with them a predefined report in two paper copies. 

This report can be used by the students during the written exam, and the report will count as part of the exam (there will be no separate grade for the report). The whole material, also the report, has to be delivered at the end of the exam.

Examination and report will form the basis of the overall assessment.           

Exam:

3 hour written exam

Access to the continuation exam, if it is held, requires that the professor must approve the report within 1 month after the regular examination is held. Remember to take care of the report, since it has to be delivered on a possible continuation exam.  Grading will be done by using A-F grading scale, F is Fail. There will be no separate grade for the report.


Recommended reading/syllabus

- E. Kreyszig: Advanced engineering mathematics, (last edition), John Wiley and Sons, Inc., New York.

- Lectures, notes, handouts, and project work

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  • About the course
  • Campus: Narvik |
  • ECTS: 7.5
  • Course code: SMN6201
  • Tidligere år og semester for dette emnet