ED1110 Vector Analysis 4.5 credits

Vektoranalys

Please note

The information on this page is based on a course syllabus that is not yet valid.

The purpose of the course is to provide an understanding of the basic relations of vector analysis, to demonstrate practical applications of vector analysis and to train the student in problem formalization and in methods of solution.

  • Education cycle

    First cycle
  • Main field of study

    Electrical Engineering
    Technology
  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

Intended learning outcomes

Having passed the course, the student should be able to:
• apply vector algebra and use the gradient of scalar field to solve elementary problems in physics
• carry out line, surface and volume integration as well as differentiation of scalar and vector fields
• interpret the divergence and the curl physically and apply these operators to carry out surface and line integration by means of Gauss and Stoke's theorems
• identify the most appropriate coordinate system for a given problem and apply the gradient, the divergence and the curl in the selected coordinate system
• use nabla operator and index notation to simplify and carry out vector analysis calculations
• solve Poisson's equation with appropriate boundary conditions for problems with cylindrical and spherical symmetries

in order to obtain understanding of vector analysis relationships, to demonstrate practical applications of vector analysis as well as to provide training in problem formulation and solution methods.

Course main content

• basic vector algebra
• differentiation and integration of vector-valued functions in Cartesian, cylindrical and spherical coordinate systems
• the gradient and the directional derivative
• the potential
• line integrals and surface integrals
• Gauss' and Stoke's theorems
• the nabla operator and index notation
• integral theorems
• curvilinear coordinate system
• important vector fields and integration of these
• the equations of Laplace and Poisson.

Disposition

The course employs learning focused pedagogy with goal oriented lectures.

Eligibility

Recommended prerequisites

Vector algebra; addition and subtraction of vectors, scalar product, projection of vectors, cross product.

Basic mathematical analysis in one and multiple variables.

Literature

L. Frassinetti och J. Scheffel, Vektoranalys, Libers förlag, 2019.
A. Ramgard, Vektoranalys.

Required equipment

Examination

  • TENA - Exam, 4.5, grading scale: A, B, C, D, E, FX, F

Continuous examination is used. It consists of home assignments as well as individual assignments and group assignments during class room tutorials. Final, written examination is also given (necessary for higher grades).
In agreement with KTH´s coordinator for disabilities, it is the examiner who decides to adapt an examination for students in possession of a valid medical certificate. The examiner may permit other examination forms at the re-examination of few students.

Requirements for final grade

Offered by

EECS/Electrical Energy Engineering

Contact

Lorenzo Frassinetti

Examiner

Jan Scheffel <jan.scheffel@ee.kth.se>

Lorenzo Frassinetti <lorenzof@kth.se>

Version

Course syllabus valid from: Autumn 2019.
Examination information valid from: Spring 2019.