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Nonlinear Differential Equation Course

Nonlinear Differential Equation Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

This course equips you with essential tools to examine equilibria, stability, and bifurcations in scalar nonlinear models, emphasising population growth and resource harvesting. Learners will solve first-order equations using analytical and numerical techniques, 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-with-harvesting ODEs.
  • Solve nonlinear ODEs quickly using separation of variables, exact solutions, and partial fractions.
  • Analyse stability through classifying equilibria, drawing phase lines, and studying one-dimensional bifurcations.
  • Conduct numerical simulations with Euler and Runge-Kutta methods for challenging population systems.
  • Communicate findings effectively with precise, structured reports 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.
Workload: between 4 and 360 hours

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