Differential Calculus and Differential Equations Course
Master differential calculus and differential equations through practical thermal models of electronic components. Learn to set up ODEs, solve transient and steady-state behaviour, and apply mathematical insight to improve engineering decisions in thermal design for electronics.

from 4 to 360h flexible workload
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 electronic components, covering heat transfer fundamentals, parameter estimation, energy balance formulation, analytical ODE solutions, and numerical evaluation to predict temperatures, validate assumptions, and support data-driven thermal design decisions.
Elevify advantages
Develop skills
- Thermal modelling basics: apply conduction, convection, radiation in fast 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 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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