Vector Analysis Course
Master vector analysis for real duct and pipe flows. Connect divergence, gradient, and curl in cylindrical coordinates to heat transport, flux, and circulation, and learn to test models with physical units, conservation laws, and Reynolds number checks.

4 to 360 hours of flexible workload
valid certificate in your country
What Will I Learn?
This short, practical Vector Analysis Course builds strong skills in cylindrical coordinates, vector fields, and differential operators tailored to duct flow. You will work with divergence, gradient, and curl, evaluate surface and line integrals, apply Stokes’ and divergence theorems, and analyze heat transport and energy advection, while checking physical realism with parameter choices and nondimensional numbers.
Elevify Differentials
Develop Skills
- Apply divergence, gradient, and curl in cylindrical coordinates with confidence.
- Use Stokes’ and divergence theorems to test global conservation in duct flows.
- Compute line and surface integrals for flux, circulation, and temperature fields.
- Analyze heat transport via v·grad T and interpret temperature gradients in ducts.
- Perform dimensional checks and Reynolds number estimates for realistic pipe flows.
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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