Differential Calculus and Differential Equations Course
Gain mastery in differential calculus and differential equations by applying them to practical thermal models of electronic components. Learn to formulate ODEs, solve for transient and steady-state responses, and leverage mathematical analysis for superior engineering outcomes in thermal management.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This concise course on differential calculus and differential equations teaches you to construct and solve first-order thermal models for electronic components, covering heat transfer principles, parameter estimation, energy balance equations, analytical solutions to ODEs, and basic numerical methods, enabling accurate temperature predictions, assumption validation, and informed thermal design choices.
Elevify advantages
Develop skills
- Thermal modelling fundamentals: utilise conduction, convection, and radiation for rapid assessments.
- Lumped ODE formulation: construct first-order energy balance models for heated electronic components.
- ODE solving proficiency: analytically resolve linear thermal ODEs for temperature profiles and steady states.
- Parameter estimation: determine thermal capacitance, heat transfer coefficients, conductances, and power inputs efficiently.
- Design optimisation: apply time constants and steady-state temperatures to enhance 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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