Differential Calculus and Differential Equations Course
Master differential calculus and differential equations via practical thermal models for electronic components. Learn to formulate ODEs, solve for transient and steady-state responses, and apply maths to smarter engineering choices. This course builds skills in heat transfer, parameter estimation, analytical solutions, and data-driven thermal design for confident predictions and optimised systems.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This concise, hands-on course in differential calculus and equations teaches building and solving first-order thermal models for electronics, covering heat transfer basics, parameter estimation, energy balance setup, analytical ODE solutions, and basic numerical checks to forecast temperatures, verify assumptions, and drive solid thermal design decisions.
Elevify advantages
Develop skills
- Grasp thermal modeling basics: use conduction, convection, radiation for quick checks.
- Set up lumped ODEs: create first-order energy balance models for hot electronics.
- Master ODE solutions: solve linear thermal ODEs analytically for T(t) and steady state.
- Estimate parameters: calculate C_th, h, k=hA and typical chip power, safe and swift.
- Make design choices: apply tau and T_ss to optimise cooling, cost, size, 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 are saying
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