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Course unit, curriculum year 2022–2023
MATH.APP.420
Differential Equations, 5 cr
Tampere University
- Description
- Completion options
Teaching periods
Active in period 1 (1.8.2022–23.10.2022)
Active in period 2 (24.10.2022–31.12.2022)
Active in period 4 (6.3.2023–31.5.2023)
Active in period 5 (1.6.2023–31.7.2023)
Course code
MATH.APP.420Language of instruction
English, FinnishAcademic years
2021–2022, 2022–2023, 2023–2024Level of study
Intermediate studiesGrading scale
General scale, 0-5Persons responsible
Responsible teacher:
Pentti HaukkanenResponsible teacher:
Heikki OrelmaResponsible teacher:
Pasi RaumonenResponsible teacher:
Jani JokelaResponsible organisation
Faculty of Information Technology and Communication Sciences 100 %
Coordinating organisation
Computing Sciences Studies 100 %
Core content
- Basic notions of differential equations
- 1st order differential equations: basic theory, solving and analysing separable, exact and linear equations.
- Higher order linear differential equations. The space of solutions and solving equations with constant coefficients.
- General theory of differential equations. Picard's iteration.
- Systems of ordinary differential equations, methods of solving the systems, analysing the solutions.
- Modelling simple phenomena with differential equations.
Additional content
- Numerical methods
- Proofs of solution methods
- Existence and uniqueness of solutions, the dependence from boundary values.
- Existence and uniqueness of solutions for systems of differential equations
Learning outcomes
Prerequisites
Compulsory prerequisites
Recommended prerequisites
Further information
Learning material
Equivalences
Studies that include this course
Completion option 1
Implementation in period II is in English.
Completion of all options is required.
Participation in teaching
06.03.2023 – 29.04.2023
Active in period 4 (6.3.2023–31.5.2023)
Completion option 2