Multivariable Functions Course
Dive into multivariable functions with a focus on gradients, Hessians, tangent planes, and level curves. Master classifying critical points and interpreting real-world models such as temperature fields to enhance your mathematical analysis and problem-solving abilities in practical scenarios.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Gain essential skills 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 Hessian and second derivative tests efficiently.
- Compute and interpret gradients by connecting partial derivatives to real-world data.
- Construct linear approximations with tangent planes for rapid multivariable estimates.
- Complete the square in two dimensions to uncover extrema, level sets, and surface geometry.
- Analyse level curves to understand 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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