Multivariable Functions Course
This course equips you with key techniques for multivariable functions, including gradients, Hessians, tangent planes, and level curves. You will classify critical points and interpret real-world applications like temperature fields, enhancing your mathematical analysis and problem-solving abilities for everyday challenges.

flexible workload of 4 to 360h
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 tangent planes, local change estimation, critical point classification using the Hessian, and effective reporting in technical documents.
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 estimates.
- Complete the square in two dimensions to uncover extrema and surface shapes.
- Interpret level curves for contour shapes, steepness, 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 workloadWhat our students say
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