Multivariable Functions Course
This course equips you with key techniques for multivariable functions, including gradients, Hessians, tangent planes, and level curves. Master critical point classification and apply these to real-world scenarios like temperature distributions, enhancing your analytical and problem-solving abilities in mathematics.

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. Explore quadratic forms, completing the square, level curves, gradients, and directional derivatives. Develop geometric understanding, construct tangent planes, estimate changes, classify critical points using the Hessian, and present findings effectively in reports.
Elevify advantages
Develop skills
- Classify critical points using Hessian and second derivative tests efficiently.
- Compute gradients and connect partial derivatives to practical data insights.
- Construct linear approximations with tangent planes for rapid estimates.
- Complete the square in two dimensions to uncover extrema and geometry.
- Interpret level curves for contour shapes, gradients, and real-world 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.What our students say
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