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 2025 Start 17 Mar 2025 programme students
- Course location
AlbaNova
- Duration
- 17 Mar 2025 - 2 Jun 2025
- Periods
- P4 (3.0 hp)
- Pace of study
17%
- Application code
60308
- 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
Contact
Mattias Blennow (emb@kth.se), Edwin Langmann (langmann@kth.se)
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–)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
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
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
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.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
Yes
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
Offered by
Main field of study
Education cycle
Add-on studies
SI2170 Quantum Physics
SI2380 Advanced Quantum Mechanics
SI2360 Analytical Mechanics and Classical Field Theory
SI2370 Relativity Theory
Contact
Supplementary information
The course can not be included in the exam together with SI2215.