### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## 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

No information inserted

## 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

No information inserted

### Equipment

No information inserted

### 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

If the course is discontinued, students may request to be examined during the following two academic years.

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

### Examination

• TEN1 - Written Examination, 4,0 hp, betygsskala: 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

No information inserted

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

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## 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