Variational methods and Green's functions and how to use them in theoretical physics.

### 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

Tensor and vector analysis in general spaces. Tangent and dual vectors. The metric tensor. Lagrange's and Hamilton's formulations of classical mechanics. Noether's theorem. Constants of motion.

### Intended learning outcomes

After completing the course a student should be able to:

• Use tensor analysis in order to describe and analyze physical relationships
• Use Lagrange's and Hamilton's formalisms in classical mechanics in order to reach conclusions regarding different physical systems and how they behave
• Within Lagrange's and Hamilton's formalisms, account for how constants of motion appear and apply these to the analysis of physical systems

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Recommended prerequisites: To master the contents of the mathematics courses that preceed each part of this course in the course plan for the technical physics program. This course should be taken in parallel or after SI1140.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

G. Sparr and A. Sparr, Kontinuerliga system,  Studentlitteratur, Lund (2000) och tillhörande Övningsbok.

Ytterligare material kommer att kunna nås via kurshemsidan.

## 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

• TEN2 - Examination, 3,0 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

Pass final 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 SI1142

### Main field of study

Physics, Technology

First cycle