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Aug 10, 2020 · This video introduces level curves, or contours, and how we graph them in two dimensions to represent three-dimensional surfaces.
- 15 min
- 5.4K
- Math with Dr. Claire
A topographical map contains curved lines called contour lines. Each contour line corresponds to the points on the map that have equal elevation (Figure 1). A level curve of a function of two variables [latex]f\,(x,\ y)[/latex] is completely analogous to a counter line on a topographical map.
A topographical map is a two-dimensional visualization of three-dimensional terrain through the so-called level curves or contours corresponding to points of equal elevation. Example 1. Here is a map of the region near South Hamilton, NY: (a) If you are standing where the black dot is, how high are you? What do you see when you look south?
Level curves are the equivalent of contours on a topographical map. In such a map the terrain is shown by drawing curves through all points which have the same height above sea level. The numbers on the curves in the map shown below are the heights above sea level in metres.
Feb 28, 2021 · We begin by introducing a typical temperature map as an example of a contour map of level curves. Next, we work several examples of finding level curves and contour maps.
- 21 min
- 22K
- Houston Math Prep
Jul 19, 2011 · How Do I Calculate Slope (or Gradient) in the Geosciences? Gradient in the case of hillslope and water table is just like calculating the slope of a line on a graph: "rise" over "run." But how do you do that using a contour (or topographic) map?
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The latitude and longitude coordinates of NRCan maps are found along the edge of a map (for example see the map of Canadian geology we studied in Chapter 1). On USGS topographic maps the latitude and longitude coordinates are found at the corners of the map (Figure 7.2).
