Nonlinear Differential Equation Course
Dive deep into nonlinear differential equations using population dynamics models. Learn stability analysis, bifurcation techniques, and numerical solving methods. Develop strong skills in creating precise ODE models and presenting findings clearly, perfect for maths experts aiming for advanced practical knowledge in real-world applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain hands-on 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, evaluate 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 quickly using separation of variables, exact solutions, and partial fractions.
- Analyse stability by identifying equilibria, drawing phase lines, and studying one-dimensional bifurcations.
- Conduct numerical simulations with Euler and Runge-Kutta methods for challenging population systems.
- Present results effectively through clear, precise reports tailored for expert audiences.
Suggested summary
Before starting, you can change the chapters and 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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