Calculus 3 Course
Dive into multivariable calculus essentials for practical modelling: master level curves, surfaces, partial derivatives, gradients, directional derivatives, critical points, multiple integrals, and optimisation techniques. Perfect for professionals in engineering, heat flow analysis, and advanced mathematics, providing focused, high-impact learning with real-world examples.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course offers a quick and practical way to master multivariable calculus tools for real-world applications. Learners will explore level curves and surfaces, calculate partial derivatives, grasp gradients and directional derivatives, examine critical points, and configure multiple integrals for measuring quantities like heat, using clear examples and precise explanations.
Elevify advantages
Develop skills
- Analyse multivariable functions and interpret scalar fields in practical models.
- Sketch and classify level curves, ellipses, contours, and surface geometries.
- Compute partial derivatives and gradients to measure rates and steepest changes.
- Apply directional derivatives and heat flow to predict motion on surfaces.
- Set up double integrals and extrema tests for optimisation and total heat content.
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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