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    <title>Department of Mathematics and Statistics, Binghamton University people:grads:brown:brown_teaching:math323:chapter_15</title>
    <subtitle></subtitle>
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    <updated>2026-04-15T14:20:15-04:00</updated>
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    <entry>
        <title>Chapter 15 - Section 1 - Double Integrals over Rectangles</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_1"/>
        <published>2020-03-12T20:03:37-04:00</published>
        <updated>2020-03-12T20:03:37-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_1</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_14&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_14&quot;&gt;Chapter 14: Partial Derivatives&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_1_-_double_integrals_over_rectangles&quot;&gt;Chapter 15 - Section 1 - Double Integrals over Rectangles&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_2&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_2&quot;&gt;Chapter 15 - Section 2 - Double Integrals over General Regions&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 1 - Double Integrals over Rectangles&quot; [191-] --&gt;</summary>
    </entry>
    <entry>
        <title>Chapter 15 - Section 2 - Double Integrals over General Regions</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_2"/>
        <published>2020-03-12T20:12:13-04:00</published>
        <updated>2020-03-12T20:12:13-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_2</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_1&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_1&quot;&gt;Chapter 15 - Section 1 - Double Integrals over Rectangles&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_2_-_double_integrals_over_general_regions&quot;&gt;Chapter 15 - Section 2 - Double Integrals over General Regions&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_3&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_3&quot;&gt;Chapter 15 - Section 3 - Double Integrals in Polar Coordinates&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 2 - Double Integrals over General Regions&quot; [201-] --&gt;</summary>
    </entry>
    <entry>
        <title>Chapter 15 - Section 3 - Double Integrals in Polar Coordinates</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_3"/>
        <published>2020-03-12T20:12:35-04:00</published>
        <updated>2020-03-12T20:12:35-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_3</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_2&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_2&quot;&gt;Chapter 15 - Section 2 - Double Integrals over General Regions&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_3_-_double_integrals_in_polar_coordinates&quot;&gt;Chapter 15 - Section 3 - Double Integrals in Polar Coordinates&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_6&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_6&quot;&gt;Chapter 15 - Section 6 - Triple Integrals&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 3 - Double Integrals in Polar Coordinates&quot; [201-] --&gt;</summary>
    </entry>
    <entry>
        <title>Chapter 15 - Section 6 - Triple Integrals</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_6"/>
        <published>2020-03-12T20:14:29-04:00</published>
        <updated>2020-03-12T20:14:29-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_6</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_3&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_3&quot;&gt;Chapter 15 - Section 3 - Double Integrals in Polar Coordinates&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_6_-_triple_integrals&quot;&gt;Chapter 15 - Section 6 - Triple Integrals&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_7&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_7&quot;&gt;Chapter 15 - Section 7 - Triple Integrals in Cylindrical Coordinates&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 6 - Triple Integrals&quot; [201-] --&gt;</summary>
    </entry>
    <entry>
        <title>Chapter 15 - Section 7 - Triple Integrals in Cylindrical Coordinates</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_7"/>
        <published>2020-03-12T20:14:47-04:00</published>
        <updated>2020-03-12T20:14:47-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_7</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_6&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_6&quot;&gt;Chapter 15 - Section 6 - Triple Integrals&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_7_-_triple_integrals_in_cylindrical_coordinates&quot;&gt;Chapter 15 - Section 7 - Triple Integrals in Cylindrical Coordinates&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_8&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_8&quot;&gt;Chapter 15 - Section 8 - Triple Integrals in Spherical Coordinates&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 7 - Triple Integrals in Cylindrical Coordinates&quot; [201-] --&gt;</summary>
    </entry>
    <entry>
        <title>Chapter 15 - Section 8 - Triple Integrals in Spherical Coordinates</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_8"/>
        <published>2020-03-12T20:15:05-04:00</published>
        <updated>2020-03-12T20:15:05-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_8</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_7&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_7&quot;&gt;Chapter 15 - Section 7 - Triple Integrals in Cylindrical Coordinates&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_8_-_triple_integrals_in_spherical_coordinates&quot;&gt;Chapter 15 - Section 8 - Triple Integrals in Spherical Coordinates&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_9&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_9&quot;&gt;Chapter 15 - Section 9 - Change of Variables&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 8 - Triple Integrals in Spherical Coordinates&quot; [201-] --&gt;</summary>
    </entry>
    <entry>
        <title>Chapter 15 - Section 9 - Change of Variables</title>
        <link rel="alternate" type="text/html" href="https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_9"/>
        <published>2020-03-12T20:15:21-04:00</published>
        <updated>2020-03-12T20:15:21-04:00</updated>
        <id>https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_9</id>
        <summary>
&lt;p&gt;
← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15&quot;&gt;Chapter 15: Multiple Integrals&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/discussion&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:discussion&quot;&gt;Calculus III Discussion Links&lt;/a&gt; &lt;br/&gt;

← &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_15/section_8&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_15:section_8&quot;&gt;Chapter 15 - Section 8 - Triple Integrals in Spherical Coordinates&lt;/a&gt;
&lt;/p&gt;

&lt;h3 class=&quot;sectionedit1&quot; id=&quot;chapter_15_-_section_9_-_change_of_variables&quot;&gt;Chapter 15 - Section 9 - Change of Variables&lt;/h3&gt;
&lt;div class=&quot;level3&quot;&gt;

&lt;p&gt;
→ &lt;a href=&quot;https://www2.math.binghamton.edu/p/people/grads/brown/brown_teaching/math323/chapter_16&quot; class=&quot;wikilink1&quot; title=&quot;people:grads:brown:brown_teaching:math323:chapter_16&quot;&gt;Chapter 16: Vector Calculus&lt;/a&gt;
&lt;/p&gt;

&lt;/div&gt;
&lt;!-- EDIT1 SECTION &quot;Chapter 15 - Section 9 - Change of Variables&quot; [201-] --&gt;</summary>
    </entry>
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