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SG2123 Mathematical Methods of Mechanics, General Course 6.0 credits

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Information per course offering

Course offerings are missing for current or upcoming semesters.

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SG2123 (Autumn 2022–)
Headings with content from the Course syllabus SG2123 (Autumn 2022–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

Asymptotic series, local and uniform expansions. Strongly damped systems, boundary layer theory, WKB method. Periodic and transient motion, Lindstedt's method and multiple scales. Non-linear phenomena and theory of stability. Averaging approximations. Wave equation and Green functions. Approximations for short and long wave lengths. Non-linear waves, kinematic waves. Hyperbolic waves and 1D gas dynamics. Dispersive waves and the method of steepest descent.

Intended learning outcomes

The course aims at an understanding of important phenomena and methods of modern mechanics, introduced in the contexts of oscillations-ODE and waves-PDE.

Literature and preparations

Specific prerequisites

English B / English 6

Compulsory courses within the competence program Mechanics.

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

Grading scale

A, B, C, D, E, FX, F

Examination

  • INL1 - Hand in Task, 1.5 credits, grading scale: P, F
  • TENA - Examination, 4.5 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.

If the course is discontinued, students may request to be examined during the following two academic years.

Examiner

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 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

SCI/Mechanics

Main field of study

Mechanical Engineering

Education cycle

Second cycle