Nonlinear Differential Equation Course
This course equips you with expertise in nonlinear differential equations via population modelling, covering stability analysis, bifurcation theory, and numerical techniques. Develop robust ODE investigations for real applications and articulate findings precisely, perfect for maths experts aiming for advanced practical knowledge in dynamic systems.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical skills to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasising population growth and resource harvesting. Master analytical and numerical solutions for first-order equations, conduct parameter studies, assess persistence against extinction, and produce detailed reports that effectively convey model outcomes and insights.
Elevify advantages
Develop skills
- Model nonlinear populations by constructing and evaluating logistic growth with harvesting ODEs.
- Solve nonlinear ODEs efficiently using separation of variables, exact solutions, and partial fractions.
- Analyse stability through equilibrium classification, phase line diagrams, and one-dimensional bifurcations.
- Conduct numerical simulations with Euler and Runge-Kutta methods tailored for stiff population dynamics.
- Communicate scientific results with clear, precise reports suited to expert audiences.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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