Differential Calculus and Differential Equations Course
Master differential calculus and differential equations through real thermal models of electronic components. Learn to set up ODEs, solve transient and steady-state behavior, and turn mathematical insight into better engineering decisions.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This short, practical Differential Calculus and Differential Equations Course shows you how to build and solve first-order thermal models for electronic components, from heat transfer fundamentals and parameter estimation to energy balance formulation, analytical ODE solutions, and simple numerical evaluation, so you can predict temperatures, validate assumptions, and make confident, data-driven thermal design decisions.
Elevify advantages
Develop skills
- Thermal modeling 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 optimize 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 workload.What our students say
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