Multivariable Functions Course
This course equips you with key techniques for multivariable functions, including gradients, Hessians, tangent planes, and level curves. You will learn to classify critical points and apply these concepts 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. 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
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