Course unit, curriculum year 2023–2024
MATH.APP.420
Differential Equations, 5 cr
Tampere University
- Description
- Completion options
Teaching periods
Active in period 1 (1.8.2023–22.10.2023)
Active in period 2 (23.10.2023–31.12.2023)
Active in period 3 (1.1.2024–3.3.2024)
Active in period 4 (4.3.2024–31.5.2024)
Active in period 5 (1.6.2024–31.7.2024)
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
Kokonaisuudet, joihin opintojakso kuuluu
Completion option 1
Implementation in period II is in English.
Completion of all options is required.
Exam
04.10.2023 – 04.10.2023
Active in period 1 (1.8.2023–22.10.2023)
22.11.2023 – 22.11.2023
Active in period 2 (23.10.2023–31.12.2023)
13.12.2023 – 13.12.2023
Active in period 2 (23.10.2023–31.12.2023)
16.01.2024 – 16.01.2024
Active in period 3 (1.1.2024–3.3.2024)
20.02.2024 – 20.02.2024
Active in period 3 (1.1.2024–3.3.2024)
07.05.2024 – 07.05.2024
Active in period 4 (4.3.2024–31.5.2024)
12.06.2024 – 12.06.2024
Active in period 5 (1.6.2024–31.7.2024)
Participation in teaching
23.10.2023 – 10.12.2023
Active in period 2 (23.10.2023–31.12.2023)
04.03.2024 – 29.04.2024
Active in period 4 (4.3.2024–31.5.2024)
Completion option 2
Exam
04.10.2023 – 04.10.2023
Active in period 1 (1.8.2023–22.10.2023)
22.11.2023 – 22.11.2023
Active in period 2 (23.10.2023–31.12.2023)
13.12.2023 – 13.12.2023
Active in period 2 (23.10.2023–31.12.2023)
16.01.2024 – 16.01.2024
Active in period 3 (1.1.2024–3.3.2024)
20.02.2024 – 20.02.2024
Active in period 3 (1.1.2024–3.3.2024)
07.05.2024 – 07.05.2024
Active in period 4 (4.3.2024–31.5.2024)
12.06.2024 – 12.06.2024
Active in period 5 (1.6.2024–31.7.2024)