Multivariable Functions Course
Gain mastery over multivariable functions via gradients, Hessians, tangent planes, and level curves. Develop skills to classify critical points and interpret practical models such as temperature fields, enhancing mathematical analysis and problem-solving prowess in real-world applications.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Acquire essential techniques for multivariable functions in this practical course. Master quadratic forms analysis, completing the square, level curve interpretation, and geometric understanding of gradients and directional derivatives. Construct tangent planes, estimate local changes, classify critical points using the Hessian, and effectively present findings in reports and technical writings.
Elevify Advantages
Develop Skills
- Classify critical points using 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 2D to uncover extrema, level sets, and surface geometry.
- Analyze 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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