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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 mastery over key techniques for handling multivariable functions in this practical course. You will study quadratic forms, complete the square, examine level curves, and develop geometric understanding of gradients and directional derivatives. Additionally, you will learn to create tangent planes, approximate local changes, categorise critical points using the Hessian, and effectively present findings in reports and technical writings.

Elevify advantages

Develop skills

  • Classify critical points quickly using Hessian and second derivative tests.
  • Compute gradients and connect partial derivatives to practical data insights.
  • Construct linear approximations with tangent planes for efficient multivariable estimates.
  • Complete the square in two dimensions to uncover extrema, level sets, and surface shapes.
  • Examine level curves to understand contour forms, gradients, and their physical significance.

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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