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.
SI1142 Mathematical Methods in Physics, Additional Course 3.0 credits
Variational methods and Green's functions and how to use them in theoretical physics.
Information per course offering
Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.
Information for Spring 2026 Start 16 Mar 2026 programme students
- Course location
AlbaNova
- Duration
- 16 Mar 2026 - 1 Jun 2026
- Periods
- P4 (3.0 hp)
- Pace of study
17%
- Application code
60123
- Form of study
Normal Daytime
- Language of instruction
English
- Course memo
- Course memo is not published
- Number of places
Places are not limited
- Target group
- No information inserted
- Planned modular schedule
- [object Object]
- Schedule
- Schedule is not published
Contact
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus SI1142 (Autumn 2023–)Headings with content from the Course syllabus SI1142 (Autumn 2023–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
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
Literature and preparations
Specific prerequisites
No information inserted
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 SI1200
Literature
You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
A, B, C, D, E, FX, F
Examination
- TEN2 - Examination, 3.0 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
Pass final examination.
Examiner
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 room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
Physics, Technology
Education cycle
First cycle
Supplementary information
The course can not be included in the exam together with SI2215.