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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 essential skills 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. Master constructing tangent planes, approximating local changes, classifying critical points using the Hessian, and presenting findings effectively in reports and technical papers.

Elevify advantages

Develop skills

  • Classify critical points quickly using Hessian and second derivative tests.
  • Compute gradients and connect partial derivatives to practical data interpretation.
  • Construct linear approximations with tangent planes for efficient multivariable estimates.
  • Complete the square in two dimensions to identify extrema, level sets, and surface shapes.
  • Interpret level curves by analysing contour shapes, steepness, 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

What our students say

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