Calculus I, II and III Course
This course offers a comprehensive exploration of calculus from single-variable to multivariable concepts, with practical applications in thermal, orbital, and energy modeling through targeted exercises and real-world examples.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This Calculus I, II and III Course provides a compact, application-focused journey from single-variable ideas to advanced multivariable and vector techniques. You will engage with integrals, derivatives, vector fields, flux, surface and line integrals, optimisation on the sphere, and differential equations, linking each topic to practical thermal, orbital, and energy modelling challenges using straightforward explanations and targeted exercises.
Elevify advantages
Develop skills
- Model vector fields: apply flux, divergence and Stokes’ theorem to real systems.
- Optimise panel orientation: use multivariable calculus to maximise solar power.
- Solve thermal ODEs: predict transient and steady temperatures under solar input.
- Compute solar energy integrals: handle piecewise, periodic and trigonometric models.
- Estimate physical parameters: fit orbital, thermal and flux data with calculus tools.
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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