Calculus I, II and III Course
This course covers Calculus I, II, and III with a focus on practical applications in thermal, orbital, and energy modeling, progressing from single-variable to multivariable and vector calculus techniques.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This Calculus I, II and III Course provides a compact, application-focused route from single-variable ideas to sophisticated multivariable and vector techniques. You'll engage with integrals, derivatives, vector fields, flux, surface and line integrals, optimisation on the sphere, and differential equations, linking each subject to practical thermal, orbital, and energy modelling scenarios 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 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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