Multivariable Functions Course
This course equips you with key techniques for analysing multivariable functions, including gradients, Hessians, tangent planes, and level curves. You will classify critical points, interpret models such as temperature fields, and enhance your mathematical analysis and problem-solving abilities for real-world scenarios.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain essential skills for multivariable functions via practical applications. Explore quadratic forms, completing the square, level curves, gradients, directional derivatives, tangent planes, local change estimation, critical point classification using the Hessian, and effective reporting in technical documents.
Elevify advantages
Develop skills
- Classify critical points using Hessian and second derivative tests efficiently.
- Compute and interpret gradients by connecting partial derivatives to actual data.
- Construct linear approximations with tangent planes for rapid 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 workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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