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Content and learning outcomes
Physical problems leading to different types of differential equations, e.g., the wave equation, Laplace's equation, and Poisson's equation.
Separation of variables in Cartesian, cylinder, and spherical coordinates. Bessel functions, Legendre polynomials, and spherical harmonics. Introductory theory and application of Green's function methods in physics. Variational calculus and physical modelling using energy arguments.
Intended learning outcomes
Upon completing the course a student shall be able to:
- Formulate problems in terms of differential equations based on fundamental physical problems
- Use expansion in eigenfunctions as a tool to solve stated problems that appear in, e.g., quantum mechanics and electromagnetism
- Define and in basic situations apply Green's functions on physical problems such as diffusion and wave propagation
- Analyse physical problems using variational principles and energy arguments
Literature and preparations
In order to assimilate the course material, it is recommended that the student has previously taken the following courses, or obtained the corresponding knowledge by other means:
- Single variable calculus
- Multi variable calculus
- Linear algebra
- Vector analysis (SI1146, ED1110))
It is also recommended that the first part of the course in differential equations and transforms as well as complex valued functions has been studied.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
- TEN1 - Exam, 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
At least grade E in the exam. In the normal case, the exam should be a written exam.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
- 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 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 SI1200