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In this video we will talk about Level curves, Graphs and how to sketch them. We will also see how GeoGebra help us to find Level Curves and Graphs.
First we will see the definition of Level curves in general then we will restrict ourselves to 2 and 3 dimensional space so as to understand the concept. Then we will see examples and sketch some Level Curves. Then we will see the definiitin of Graph of a function. Then we will see with the help of an example that how Level Curves will help us to imagine / Visualize the graph of function.
Then we will see how GeoGebra, Mathematical Software, will help us to see the surfaces.
Link for first lecture: