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Nonlinear Differential Equation Course

Nonlinear Differential Equation Course
4 to 360 hours 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 dynamics and harvesting strategies. Master analytical and numerical solutions for first-order equations, conduct parameter scans, assess persistence against extinction, and produce detailed reports that effectively convey model outcomes and behaviours.

Elevify advantages

Develop skills

  • Model nonlinear populations by constructing and evaluating logistic-with-harvesting ODEs.
  • Solve nonlinear ODEs quickly with separation of variables, exact solutions, and partial fractions.
  • Analyse stability through equilibrium classification, phase lines, and one-dimensional bifurcations.
  • Conduct numerical simulations using Euler and Runge-Kutta methods for challenging population models.
  • Present results with clear, precise explanations tailored for technical readers.

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.
Workload: between 4 and 360 hours

What our students say

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Great course. Lots of valuable information.
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