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A motivating problem: how can we prove that a sphere and a torus are different?
 
A motivating problem: how can we prove that a sphere and a torus are different?
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=== Probability and Statistics ===
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# Discussion of Benford's law, application to recognizing fraud.
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# Problem 2
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# Problem 3
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Motivating problem:
    
=== Analysis ===
 
=== Analysis ===
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# Set theory: some discussion of axioms, maybe talk about AoC.
 
# Set theory: some discussion of axioms, maybe talk about AoC.
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=== Related fields ====
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=== Related fields ===
 
Many other subjects are often considered parts of mathematics as well.  Depending on specific undergraduate programs, a math major may or may not be required to take courses in these areas, but many of the same ideas are used in these subjects as in the others.
 
Many other subjects are often considered parts of mathematics as well.  Depending on specific undergraduate programs, a math major may or may not be required to take courses in these areas, but many of the same ideas are used in these subjects as in the others.
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# Statistics: a problem
   
# Computer science: something about algorithmic complexity: maybe the fact that primality testing may be done in polynomial time?
 
# Computer science: something about algorithmic complexity: maybe the fact that primality testing may be done in polynomial time?
 
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