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Multivariable Functions Course

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

What will I learn?

Gain expertise in multivariable functions by analyzing quadratic forms, completing the square, interpreting level curves, and understanding gradients and directional derivatives. Construct tangent planes, estimate local changes, classify critical points using the Hessian, and effectively communicate findings in technical reports.

Elevify advantages

Develop skills

  • Classify critical points using Hessian and second derivative tests efficiently.
  • Compute and interpret gradients by connecting partial derivatives to real data.
  • Build linear approximations with tangent planes for rapid multivariable estimates.
  • Complete the square in two dimensions to uncover 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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