Differential Equations (5cr)
Course unit code: C-10122-MATH--APP--420
General information
- Credits
- 5 cr
- Institution
- University of Tampere
Objectives
This course introduces the students to common types of differential equations appearing in natural sciences and technology, their theory and applications. After this course the students understand the basic theory of differential equations, can solve several different types of differential equations, and analyse the behaviour of the solutions.
Content
Core contentSolving and basic theory of first order differential equations (separable, exact, integrating factor, general linear)Second order linear differential equations and the method of undetermined coefficients for inhomogeneous equations.Precise presentation of existence and uniqueness theorems for first order systems of differential equations.Linear systems of differential equations, solution space of homogeneous equation, solution theory of constant coefficient systems and variation of constants.Higher order linear differential equations.
Prerequisites
Prerequisities are first year mathematics (linear algebra and analysis) and multivariable calculus.
Further information
Partial completions of the course must be carried out during the same implementation round.