# SI1146 Vector Analysis 4.0 credits

### Offering and execution

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## Course information

### Content and learning outcomes

#### Course contents *

Concept within vector calculus and their physical applications: the nabla operator, integral theorems and potential theory. Tensors with applications from for example electrodynamics and continuum mechanics. Special vector fields and their importance within physical modelling. Modelling by means of vector calculus. The concept of symmetry with relation to basic group theory and its importance within physics

#### Intended learning outcomes *

On completion of the course, a student should be able to

• Use vector calculus to describe and analyse physical systems
• Be able to model and formulate basic physical problems within for example electromagnetism and fluid mechanics by means of vector calculus
• Describe different physical situations where singular vector fields arise and use these to describe physical systems
• Apply tensor analysis on basic physical problems within for example solid mechanics
• Use symmetries and basic group theory to draw conclusions about physical systems

#### Course Disposition

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### Literature and preparations

#### Specific prerequisites *

Recommended prior knowledge: To benefit from the course material it is recommended that the students have read the following courses or gained the equivalent knowledge:

• SF1672 Linear Algebra
• SF1673 Calculus in a variable
• SF1674 Multivariable analysis

#### Recommended prerequisites

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#### Equipment

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#### Literature

The textbook(s) is decided by the Department of Theoretical Physics and the students will be informed via the course homepage no later than four weeks before the start of the course.

### Examination and completion

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

#### Examination *

• TEN1 - Written Examination, 4.0 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

#### Other requirements for final grade *

Approved examination.

#### Opportunity to complete the requirements via supplementary examination

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#### Opportunity to raise an approved grade via renewed examination

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### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SI1146

Technology

First cycle