Level Curves & Contour Maps | Calculus 3 Lesson 40 - JK Math

How to Find Level Curves & Sketch Contour Maps (Calculus 3 Lesson 40)

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In this video you will learn how to find level curves of multivariable functions and graph them to create contour maps which help us visualize complicated surfaces in 3D space. We also briefly talk about level surfaces for functions of three independent variables which represent 4-dimensional graphs.

This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!

Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!


Video Chapters:
0:00 What are Level Curves?
6:06 How to Sketch a Contour Map
19:24 Example: f(x,y)=y²-x²
30:31 Example: f(x,y)=ln(x+y)
37:42 Level Surfaces


📝 Examples Video:    • Level Curves & Contour Maps Examples | Cal...  

⏩ Next Lesson:    • Limits of Functions of Two Variables | Cal...  

📺 Calculus 3 Playlist:    • Calculus 3  

📺 Calculus 2 Playlist:    • Calculus 2  

📺 Calculus 1 Playlist:    • Calculus 1  


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Josh from JK Mathematics

#calculus

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