Vector Analysis Course
Gain mastery in vector analysis applied to duct and pipe flows. Link divergence, gradient, and curl in cylindrical coordinates to heat transport, flux, and circulation. Learn to validate models using physical units, conservation laws, and Reynolds number checks for practical engineering applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This practical Vector Analysis Course develops skills in cylindrical coordinates, vector fields, and differential operators for duct flow analysis. Master divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, heat transport, energy advection, and physical validation with parameters and nondimensional numbers.
Elevify advantages
Develop skills
- Apply divergence, gradient, and curl confidently in cylindrical coordinates.
- Use Stokes’ and divergence theorems to verify global conservation in duct flows.
- Compute line and surface integrals for flux, circulation, and temperature fields.
- Analyze heat transport through v·grad T and interpret temperature gradients in ducts.
- Perform dimensional analysis 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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