Course in Differential Equations with Modeling Applications
Master differential equations through real modeling of rivers, transport, and decay. Connect ODE and PDE methods, interpret parameters, and turn technical results into clear, decision-ready insights for engineering and environmental applications.
from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This focused course builds practical skills in differential equations for modeling pollutant transport and decay in rivers. You will derive ODE and PDE models from mass balance, solve advection–decay equations, analyze steady states, and compare compartment and distributed approaches. Learn to handle units, estimate parameters, assess limitations, and clearly communicate risk and results to non-technical decision makers.
Elevify advantages
Develop skills
- Build mass-balance ODE models: turn inflow, outflow, and decay into dC/dt forms.
- Solve advection–decay PDEs: apply method of characteristics for fast river modeling.
- Compare ODE vs PDE transport: judge mixing assumptions and pick the right model.
- Estimate and scale key parameters: u, A, k, Q, residence times, and safety limits.
- Communicate risk clearly: convert concentration outputs into concise public guidance.
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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