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 cycleMain field of study
Electrical Engineering
Technology
Grading scale
A, B, C, D, E, FX, F
Course offerings
Autumn 19 CELTE/CENMI for programme students

Periods
Autumn 19 P1 (4.5 credits)

Application code
50814
Start date
26/08/2019
End date
25/10/2019
Language of instruction
Swedish
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Course responsible
Jan Scheffel <jan.scheffel@ee.kth.se>
Lorenzo Frassinetti <lorenzof@kth.se>
Teacher
Jan Scheffel <jan.scheffel@ee.kth.se>
Lorenzo Frassinetti <lorenzof@kth.se>
Target group
Sökbar för CELTE, CENMI
Part of programme
 Degree Programme in Electrical Engineering, year 2, Mandatory
 Degree Programme in Energy and Environment, year 3, ELP, Mandatory
 Degree Programme in Energy and Environment, year 3, HSS, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, ITH, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, KEM, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, MES, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, MHI, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, RENE, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, SENS, Mandatory
 Degree Programme in Energy and Environment, year 3, SMCS, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, SUE, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, SUT, Conditionally Elective
Autumn 18 CELTE/CENMI for programme students

Periods
Autumn 18 P1 (4.5 credits)

Application code
51065
Start date
27/08/2018
End date
26/10/2018
Language of instruction
Swedish
Campus
KTH Campus
Tutoring time
Daytime
Form of study
Normal

Number of places
No limitation
Schedule
Course responsible
Jan Scheffel <jan.scheffel@ee.kth.se>
Lorenzo Frassinetti <lorenzof@kth.se>
Teacher
Jan Scheffel <jan.scheffel@ee.kth.se>
Lorenzo Frassinetti <lorenzof@kth.se>
Target group
Sökbar för CELTE, CENMI
Part of programme
 Degree Programme in Electrical Engineering, year 2, Mandatory
 Degree Programme in Energy and Environment, year 3, ELP, Mandatory
 Degree Programme in Energy and Environment, year 3, HSS, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, KEM, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, MES, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, MHI, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, RENE, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, SENS, Mandatory
 Degree Programme in Energy and Environment, year 3, SMCS, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, SUE, Conditionally Elective
 Degree Programme in Energy and Environment, year 3, SUT, Conditionally Elective
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 vectorvalued 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 reexamination 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.