MAT 3751 Analysis II

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MAT 3751Analysis II

• 5.2
• The Riemann Integral Part I

http//myhome.spu.edu/lauw
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References

• Bloch 5.2

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Homework

• Team HW Due Next Friday
• Again, do it ASAP

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Recall Calculus II

• Suppose f is a continuous function defined on
  a,b, we divide the interval a,b into n
  subintervals of equal width

The area of the ith rectangle is
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Recall Calculus II
sample point
ith subinterval
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Recall Definition

• The Definite Integral of f from a to b

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Partition, Norm, Representative Set, and Riemann
Sum
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Partition, Norm, Representative Set, and Riemann
Sum
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Example 1
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Example 1
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Example 2
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Example 2
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Example 2
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Example 2
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Riemann Integrals and Riemann Integrable
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Riemann Integrals and Riemann Integrable
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Lemma
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Example 3