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 principles, and Reynolds number assessments.

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. Learners handle divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, heat transport, energy advection, and verify realism via parameters and nondimensional numbers.
Elevify advantages
Develop skills
- Apply divergence, gradient, and curl confidently in cylindrical coordinates.
- Employ Stokes’ and divergence theorems to verify global conservation in duct flows.
- Calculate line and surface integrals for flux, circulation, and temperature fields.
- Examine heat transport through v·grad T and interpret temperature gradients in ducts.
- Conduct 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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