STEM3-math 108 - Math Learning Center Boise State ©2010...

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Unformatted text preview: Math Learning Center Boise State ©2010 Linear Graphing STEM 3 (Science Technology Engineering Math) Graphing is an important skill in mathematics. It gives us the ability to visualize the numerical concepts we are discussing and to develop pictures which makes the concepts easier to comprehend. The primary format of graphing used in algebra is called the Cartesian coordinate system. It consists of two axes, which divides the graph into four regions called quadrants: Often we will need to graph objects which only have values that are positive or zero. In this case we only need to graph the first quadrant. The purpose for pointing this out is to build the understanding that whether we use all four quadrants or just one (or maybe two) quadrant(s), all of the techniques are the same. Our first move into connecting math to science will be created by connecting equations of lines to the rate law in chemistry. The rate law is a mathematical equation which associates the rate of a chemical reaction with the concentration of the reactants. There are two reasons why we have chosen the rate Vertical axis (y-axis) Horizontal axis (x-axis) II I III IV I Vertical axis (y-axis) Horizontal axis (x-axis) Math Learning Center Boise State ©2010 law as our starting point. The first is that the rate law spans many level of mathematics. In this document we will only be concerned with zero-order reactions. We will have the mathematical background to discuss first-order reactions near the end of this semester. The rate law covers many more orders (second-order, third-order and so on). If one looks up “rate law” on the internet, they will find the mathematics for higher orders is beyond the scope of this course and understanding the relationship between the orders is based on calculus. The second reason for choosing the rate law is that this law is an excellent example of the use of different types of symbols to represent mathematical notion. Typically in math, we write equations of lines as follows: g G ¡¢ £ ¤ However, even though zero-order reactions are lines, chemists will use the following notation:...
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STEM3-math 108 - Math Learning Center Boise State ©2010...

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