Multivariable Functions Course
This course equips you with essential skills for multivariable calculus, focusing on gradients, Hessians, tangent planes, and level curves. You will classify critical points, interpret real-world models such as temperature fields, and enhance your mathematical analysis and problem-solving abilities for practical applications.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain expertise in multivariable functions by analyzing quadratic forms, completing the square, interpreting level curves, and understanding gradients and directional derivatives. Construct tangent planes, estimate local changes, classify critical points using the Hessian, and effectively communicate findings in technical reports.
Elevify advantages
Develop skills
- Classify critical points using Hessian and second derivative tests efficiently.
- Compute and interpret gradients by connecting partial derivatives to real data.
- Build linear approximations with tangent planes for rapid multivariable estimates.
- Complete the square in two dimensions to uncover extrema, level sets, and surface geometry.
- Analyze 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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