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Multivariable Functions Course

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

What will I learn?

Gain essential skills for handling multivariable functions in this practical course. You will explore quadratic forms, complete the square, understand level curves, and develop intuition for gradients and directional derivatives. Master tangent planes, local approximations, 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 and interpret gradients by connecting partial derivatives to practical data.
  • Construct linear approximations with tangent planes for rapid multivariable estimates.
  • Complete the square in two dimensions to identify extrema, level sets, and surface shapes.
  • Analyse level curves to understand contour shapes, gradients, and physical interpretations.

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

What our students say

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