In this lecture, we explore the mathematics of surfaces and partial derivatives—key concepts in multivariable calculus. You’ll learn how level curves can be used to visualize and sketch surfaces of functions of two variables.
We also work through a range of examples demonstrating how to compute partial derivatives step by step, helping build both intuition and technical skill.
This material is typically covered in university-level mathematics courses and is essential for further study in calculus, physics, and engineering.
Topics covered:
Functions of two variables
Visualising surfaces
Level curves and contour plots
Computing partial derivatives
Worked examples
Who this is for:
Students studying university mathematics, engineering, or anyone looking to deepen their understanding of multivariable calculus.
