Vector Analysis Course
Master vector analysis tailored 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 real-world applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This practical Vector Analysis Course builds solid skills in cylindrical coordinates, vector fields, and differential operators for duct flow. You'll handle divergence, gradient, curl, surface and line integrals, Stokes’ and divergence theorems, plus analyze heat transport and energy advection, ensuring realism 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 with 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 the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students are saying
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