Multi-variable Functions, Domain and Range, Graphs and Level Curves - Calculus 3

5 hours ago
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Science Education calculus 3 multivariable calculus multivariable functions calculus multivariable partial derivatives calculus 3 function multivariable function limit of a multi-variable function

This video explains multi-variable functions, including domain and range, planar and 3D regions for functions of two and three variables, graphs and level curves, contours, level surfaces, open and closed regions or sets, graphing complicated surfaces and contours using CAS, and worked example practice problems.

0:00 Multi-variable functions
2:13 Domain and range
4:47 Functions of two variables and planar regions
8:31 Graphs and level curves for two variable functions
13:30 Functions of three variables
16:02 Regions in space for functions of three variables
18:52 Graphing complicated surfaces, CAS
21:25 Worked examples

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