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Multivariable Functions Course

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

What will I learn?

Gain essential skills for multivariable functions in this practical course. Analyse quadratic forms, complete the square, interpret level curves, and develop geometric understanding of gradients and directional derivatives. Construct tangent planes, estimate local changes, classify critical points using the Hessian, and communicate findings effectively in reports and technical documents.

Elevify advantages

Develop skills

  • Classify critical points quickly with Hessian and second derivative tests.
  • Compute and interpret gradients by connecting partial derivatives to real data.
  • Construct linear approximations using tangent planes for efficient multivariable estimates.
  • Complete the square in two dimensions to identify extrema, level sets, and surface geometry.
  • Analyse 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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