HO1%20Math%20review

HO1%20Math%20review - GLY 4822/GLY 6934 Hydrogeology Math...

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GLY 4822/GLY 6934 Hydrogeology Math Review Guidelines for solving quantitative problems One of my goals for this course is to help those students that are not comfortable with quantitative problems improve their problem solving skills and gain confidence. Basic algebra is all that is needed for this course. I will not ask you do complicated mathematical operations - just addition, subtraction, multiplication, and division. You are all more than capable of doing the math required in this course. However, depending on your background you might find it challenging to determine what you are being asked and to identify the equations necessary for finding the answer. One way to improve your problem solving skills is to develop a set of steps that you follow rigorously when solving problems. Therefore, if you explicitly follow the below steps for all quantitative problems on homeworks and exams, I will be generous with partial credit. I will be less generous with partial credit if your answer is incorrect and you did not approach the problem in the following stepwise manner. On in-class problems, I will not give any partial credit unless you complete the following steps. Problem solving steps (I suggest you write out the questions and answers to the questions as you work through the problems.). I will not give any credit for “magical answers” if you show no work. 1. What are you being asked to find in words and symbols? 2. What units and or dimensions should the answer be in? 3. What information are you given in the problem? List all parameters and values given. 4. What equations might apply to this problem? List them. 5. Solve. Include units all the way through your calculations. 6. Check your answer. Is the magnitude reasonable? Are the units correct?
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Source: http://www.rickly.com/HS/hydraulicconversion.htm , last accessed 12/9/10
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SIGNIFICANT FIGURES For measured numbers, significant figures relate the certainty of the measurement. As the number of significant figures increases, the more certain the measurement. The means for obtaining the measurement also becomes more sophisticated as the number of significant figures increase. Scientific notation is the most reliable way of expressing a number to a given number of significant figures. In scientific notation, the power of ten is insignificant. For instance, if one wishes to express the number 2000 to varying degrees of certainty: 2000 2 x 10 3 is expressed to one significant figure 2000 2.0 x 10 3 is expressed to two significant figures 2000 2.00 x 10 3 is expressed to three significant figures 2000 2.000 x 10 3 is expressed to four significant figures What do these numbers imply as to the certainty? Let's see what the number can be distinguished from: The number 2000 to one significant figure lies between: 1 x 10 3 = 1000 2 x 10 3 = 2000 3 x 10 3 = 3000 It is a number that lies between 1000 and 3000 -- not very certain, is it. The number 2000 to two significant figures lies between:
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HO1%20Math%20review - GLY 4822/GLY 6934 Hydrogeology Math...

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