Nonlinear Differential Equation Course
This course teaches mastering nonlinear differential equations via population models, stability analysis, bifurcations, and numerical methods. Students build rigorous real-world ODE analyses and communicate findings clearly, perfect for mathematics professionals wanting deeper applied knowledge in dynamics and modeling.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical skills in analyzing equilibria, stability, and bifurcations in scalar nonlinear differential equations, focusing on population dynamics and harvesting. Learn to solve first-order equations analytically and numerically, conduct parameter scans, interpret persistence versus extinction, and produce clear, rigorous reports on model behavior.
Elevify advantages
Develop skills
- Model nonlinear populations by building and analyzing logistic-with-harvesting ODEs.
- Solve nonlinear ODEs using separation, exact methods, and partial fractions quickly.
- Analyze stability by classifying equilibria, phase lines, and one-dimensional bifurcations.
- Run numerical experiments with Euler and Runge-Kutta for stiff population models.
- Communicate results through clear, rigorous interpretations for technical 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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