Mathematics: Ordinary Differential Equations 1

Utbildningsfakta

Kod: MATC22

<p>Ordinary differential equations are one of the most important mathematical tools within the natural sciences. They can be used to describe anything from population dynamics to quantum mechanics. The overarching goal of the course is for the students to aquire knowledge about the fundamental concepts and methods in the theory of ordinary differential equations, and to be able to apply these to solve and analyze relevant problems in the subject.</p><p>The course treats:</p> <ul> <li>Existence and uniqueness of solutions to initial value problems for systems of ordinary differential equations.</li> <li>Approximation of solutions and continuous dependence on parameters.</li> <li>Linear systems with variable and constant coefficients. Fundamental matrices and the matrix exponential function.</li> <li>Autonomous systems. Phase portraits. Stability theory. Periodic solutions.</li> <li>Applications in other sciences.</li> </ul>

Behörighet

The course requires basic knowledge in analysis in one and several variables and linear algebra, corresponding to, for example: MATA31Analysis in One Variable, 15 credits MATA32 Algebra and Vector Geometry, 7,5 credits MATB21 Analysis in Several Variables, 7,5 credits MATB23 Analysis in Several Variables 2, 7,5 credits MATB32 Linear Algebra, 7,5 credits Additionally, knowledge equivalent to MATB33 Mathematics: Introduction to Higher Analysis, 7.5 credits, or FYSB21 : Mathematical Methods for Vibrations, Waves and Diffusion, 7.5 credits, is required.

Utbildningstillfällen

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• Mathematics: Ordinary Differential Equations 1

  Lund University

  Startdatum: 31 augusti 2026

  Slutdatum: 1 november 2026

  Studietakt: 50 %