Calculus 3 Course
Dive into multivariable calculus essentials for real-world applications, covering level curves, surfaces, partial derivatives, gradients, directional derivatives, critical points, multiple integrals, and optimisation techniques. Perfect for maths enthusiasts, engineers, and analysts tackling heat flow, engineering problems, and advanced modelling in professional settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a quick, hands-on way to master multivariable calculus tools for practical modelling. You'll explore level curves and surfaces, calculate partial derivatives, grasp gradients and directional derivatives, examine critical points, and apply multiple integrals to quantify totals like heat distribution using straightforward examples and clear explanations.
Elevify advantages
Develop skills
- Analyse multivariable functions and interpret scalar fields in practical models.
- Sketch and classify level curves like ellipses, contours, and surface shapes.
- Calculate partial derivatives and gradients to measure rates and steepest changes.
- Use directional derivatives and heat flow to predict motion across surfaces.
- Set up double integrals and extrema tests to optimise and compute total heat content.
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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