Multivariable Functions Course
This course equips you with key techniques for multivariable calculus, including gradients, Hessians, tangent planes, and level curves. You will classify critical points, interpret models like temperature distributions, and enhance your analytical and problem-solving abilities for real-world applications in mathematics and engineering.

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 and interpret gradients by connecting partial derivatives to practical data.
- Construct linear approximations with tangent planes for accurate multivariable estimates.
- Complete the square in two dimensions to identify extrema, level sets, and surface shapes.
- Analyze level curves to understand contour shapes, steepness, and their 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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