Calculus I, II and III Course
This course provides a comprehensive journey through Calculus I, II, and III, focusing on practical applications in thermal, orbital, and energy modeling. It covers derivatives, integrals, multivariable calculus, vector fields, and differential equations with hands-on problem-solving.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Calculus I, II and III Course delivers a compact, application-driven path from single-variable concepts to advanced multivariable and vector tools. You will work with integrals, derivatives, vector fields, flux, surface and line integrals, optimization on the sphere, and differential equations, connecting each topic to realistic thermal, orbital, and energy modeling problems using clear explanations and focused practice.
Elevify advantages
Develop skills
- Model vector fields: apply flux, divergence and Stokes’ theorem to real systems.
- Optimize panel orientation: use multivariable calculus to maximize 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 workloadWhat our students say
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