Differential Calculus and Differential Equations Course
Master differential calculus and differential equations using practical thermal models for electronic components. Gain skills in setting up ODEs, solving for transient and steady-state behaviour, and applying maths to improve engineering choices. This course equips you to predict temperatures and make reliable thermal designs.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This practical course on differential calculus and differential equations teaches building and solving first-order thermal models for electronics, covering heat transfer basics, parameter estimation, energy balance, analytical ODE solutions, and numerical checks to forecast temperatures, verify assumptions, and drive smart thermal designs.
Elevify advantages
Develop skills
- Thermal modelling basics: apply conduction, convection, radiation in quick analyses.
- Lumped ODE setup: build first-order energy balance models for hot electronic parts.
- ODE solution skills: solve linear thermal ODEs analytically for T(t) and steady state.
- Parameter estimation: compute C_th, h, k=hA and typical chip power, safely and fast.
- Design decisions: use tau and T_ss to optimise cooling, cost, size, and reliability.
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 workloadWhat our students say
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