Differential Calculus and Differential Equations Course
Master differential calculus and differential equations via practical thermal models of electronic components. Learn to formulate ODEs, solve transient and steady-state behaviour, and apply mathematical insights to improve engineering decisions. This course equips you with tools to predict temperatures, validate models, and optimise designs confidently using data-driven approaches.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This concise, hands-on course in differential calculus and differential equations teaches building and solving first-order thermal models for electronic components. Covering heat transfer basics, parameter estimation, energy balance setup, analytical ODE solutions, and basic numerical checks, it enables accurate temperature predictions, assumption validation, and informed thermal design choices.
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 workload.What our students say
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