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Multivariable Functions Course

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

What will I learn?

Master core tools for working with multivariable functions in this focused, application-driven course. You will analyze quadratic forms, complete the square, interpret level curves, and build geometric insight into gradients and directional derivatives. Learn to construct tangent planes, estimate local change, classify critical points with the Hessian, and clearly communicate results in reports and technical documents.

Elevify advantages

Develop skills

  • Classify critical points: apply Hessian and second derivative tests fast.
  • Compute and interpret gradients: link partial derivatives to real data.
  • Build linear approximations: use tangent planes for quick multivariable estimates.
  • Complete the square in 2D: reveal extrema, level sets, and surface geometry.
  • Analyze level curves: read contour shape, steepness, and physical meaning.

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.
Workload: between 4 and 360 hours

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