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Multivariable Functions Course

Multivariable Functions Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

Gain essential skills for multivariable functions via practical applications. Explore quadratic forms, completing the square, level curves, gradients, directional derivatives, tangent planes, local change estimation, critical point classification using the Hessian, and effective reporting in technical documents.

Elevify advantages

Develop skills

  • Classify critical points using Hessian and second derivative tests efficiently.
  • Compute gradients and connect partial derivatives to practical data interpretation.
  • Construct linear approximations with tangent planes for accurate multivariable estimates.
  • Complete the square in two dimensions to identify extrema, level sets, and surface geometry.
  • Analyze level curves to understand contour shapes, steepness, and physical significance.

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.
Workload: between 4 and 360 hours

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