Course development and history
Last planned examination: Spring 2020
Decision to discontinue this course: No information inserted
Basic course in differential equations, Fourier series, Fourier and Laplace transforms.
ODEs of order 1: Basic notions and theory. Modelling. Direction fields and solution curves. Autonomous equations, stationary solutions and their stability. Separable equations. Linear equations.
ODEs of higher order: Basic teori. Methods for solving linear equations with constant coefficients. Oscillations.
Systems of linear ODEs: Basic notions and theory. The eigenvector method (homogenuous linear systems), The method of variation of parameters (particular solutions of nonhomogenuous linear systems).
Generalized functions as a tool to represent signals.
The Laplace transform with applications.
Fourier series and Fourier transforms with applications.
Linear partial differential equations: Separation of variables. Solution of some classical equations (the wave equation, the heat equation, the Laplace equation) with transform methods.
After passing the course the students should
No information inserted
SF1624/SF1663/SF1666/SF1667/SF1675 + SF1625/SF1664/SF1668 + SF1626/SF1665/SF669 or corresponding courses.
Zill-Cullen/Differential Equations with Boundary-Value Problems
Råde-Westergren/Mathematics Handbook for Science and Engineering.
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.
(TEN1, 6 cr). One examination test,(INL1, 3 cr), One report.
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.