Multivariable Functions Course
This course equips you with mastery over multivariable functions via gradients, Hessians, tangent planes, and level curves. You will classify critical points and interpret real-world models such as temperature fields, enhancing your mathematical analysis and problem-solving prowess in practical applications.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain expertise in essential techniques for multivariable functions in this practical course. Analyse quadratic forms, complete the square, interpret level curves, and develop geometric understanding of gradients and directional derivatives. Construct tangent planes, estimate local changes, classify critical points using the Hessian, and communicate findings effectively in reports and technical documents.
Elevify advantages
Develop skills
- Classify critical points using the Hessian and second derivative tests swiftly.
- Compute and interpret gradients by linking partial derivatives to real data.
- Build linear approximations with tangent planes for rapid multivariable estimates.
- Complete the square in two dimensions to reveal extrema, level sets, and surface geometry.
- Analyse level curves to discern contour shapes, steepness, and physical 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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