Course contents

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

Course Disposition

No information inserted

Specific prerequisites

Recommended previous knowledge: 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

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.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

The course literature is decided by the department and communicated to the students via the course homepage at least four weeks before the start of the course.

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

• TEN1 - Exam, 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

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

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Examiner

Edwin Langmann

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.

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.

Offered by

SCI/Physics

Main field of study

Technology

Education cycle

First cycle

Add-on studies

No information inserted

Contact

Edwin Langmann (langmann@kth.se)