Nonlinear Differential Equation Course
Gain mastery in nonlinear differential equations via population modelling, stability analysis, bifurcation studies, and numerical solutions. Develop strong skills in constructing practical ODE analyses and presenting findings clearly, perfect for maths experts aiming for advanced real-world applications in Uganda's dynamic contexts.

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.What our students say
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