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<title>
Day 10 Tues
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<h2>Day 10 topics</h2>
<p class="show">Sections  
<ul>
   <li>Evaluate area a single integral, or in terms of a double integral and interpret geometrically.
  <li>Definition and properties of double integrals
  <li>Analogy between single and double integrals
  <li>Volume interpretations of double integrals
  <li>The meaning of $\int_a^b\int_c^d f(x,y)\,dx\,dy$  for a positive function f(x,y) over a rectangle $\left[a,b\right]\times\left[c,d\right]$ 
<li>Fubini's Theorem
<li>The geometric interpretation of $\int_a^b\int_{f(y)}^{g(y)}dx\,dy$  
and $\int_c^d\int_{h(x)}^{k(x)}dy\,dx$  
<li>Setting up limits of double integrals, given a region over which to integrate.
<li>Changing the order of integration.
</ul>

<h4 class="show"><a href="../handouts/Class10/">Class 10 Resources</a></h4>

<h4 class="show" id="tomorrow">To do for Wednesday</h4>
<ul>
  <li>Read sections 12.4, 12.6
  <li>Answer the reading questions for Class 11
  <li>Complete all Class 10 worksheets
  <li>Mathematica 'worksheet': Area Between Curves
  <li>WebAssign HW 10
  <li>WebAssign Test 2 Quiz
  <li>Study for Test 2
</ul>





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