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<title>Math 213 Syllabus, Mayterm 2020</title>
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<meta name="description" content="Syllabus for MATH 213 - Multivariate Calculus">
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<p class='noprint'><a href="/">Goshen College</a> &gt; <a href="/math/">Mathematics</a> </p>
<h1>Math 213<br>
Multivariate Calculus
</h1>
<h2>Syllabus, Mayterm <span style="color:#999">(2019-)</span> 2020<br />
        </h2>
	<h3>Covid-19 edition!</h3>

<p>Hours to be negotiated--when I hear from y'all about your schedules and time zones!<!--Traditionally we meet at  8:00-9:30 am and 10:30-noon<br>
in Newcomer Center <b>NC 12</b>--></p>

<p><b>Prerequisite:</b> Math 211 (Calculus
   I) completed with a grade of <i>C</i> or better.
</p>





<a name="pmr"></a> 
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<h3>Text / course materials</h3>

<ul> 

<li><img src="_g/Stewart.jpg" alt="textbook image" align="right"
hspace='5' /><b>Textbook</b>: James Stewart, <em><a
href="http://www.cengage.com/search/productOverview.do?Ntt=james+stewart+calculus||85315857210887869501912535608902203077&N=16&Ntk=APG||P_EPI&Ntx=mode+matchallpartial">Multivariable
Calculus: Concepts and Contexts, 4th Edition</a></em>, (Cengage
Learning, 2009).  We will cover chapters
9-13.<br><br>

<p>Access to webassign.net includes online access to an e-book version of Stewart's textbook.  One silver lining to this Covid situation is that <b>the publisher says that webassign / textbook access will be *free*</b>!
<ol><li>Go to <a href="https://webassign.net">webassign.net</a>
<li>Click on <b>Enter Class Key</b>.
<li>Use this class key:  <b><tt>goshen 3337 7500</tt></b> and confirm that our course comes up, with 'section 20' (for the year 2020).
<li>At some point it will give you the option to pay or <b>start your free trial period</b>.  Choose the free trial period, which lasts two weeks.
</ol>
<p>Supposedly, at the end of the two week trial period, you will be able to renew for another two weeks for free (and this will take us to the end of our course).

<li><b>Class website</b>: with a general schedule, course documents, lecture notes.  Follow the link and then bookmark (on your iPad) the site at people.goshen.edu:
<ul> 
  <a href='http://tiny.cc/gc-calc3'>tiny.cc/gc-calc3</a>
</ul>

<li><img src="ACM.jpg" class="rightalign" style="width:180px">
We will also be experimenting with an open source (free) textbook: "<a href="https://activecalculus.org/ACM.html">Active Calculus Multivariable</a>".  Bookmark this and/or download the PDF.  We will have some preparation exercises and other assignments out of this textbook.  

<li><b>Grades</b> and reading questions: on <a href="http://moodle.goshen.edu">moodle.goshen.edu</a>.</li>

<li><i><b>CoCalc</b></i> <a href="https://people.goshen.edu/~paulmr/physix/mathphys/gco/cocalc.php">Sign up for an account</a> with your *@goshen.edu e-mail!  We'll use Jupyter notebooks for labs, and they're a useful calculation aid at any time!  Signing up for an account is free.

<li><i><b>GeoGebra</b></i> <a href="https://geogebra.org">geogebra.org</a> is software for 3-d plotting / parametric plotting / 3-d visualization.  Sign up for a free account.  We'll be using this for activities and labs.

<li><b>We may use</b> <a href="https://www.desmos.com">Desmos</a> (2-d graphing), and <a href="https://www.wolframalpha.com">WolframAlpha</a> [the paid WolframAlpha app is available on your GC-registered iPad for free if you go to the GC App Catalog], and perhaps others.

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<li><b>3-ring binder</b> to keep the handouts I'll give you.  I suggest that you also keep notes that you jot in solving the webassign problems together.
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</ul> 
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<h3>Course Objectives</h3>
<p>The <b>core</b> concepts / techniques of multivariate calculus include: vectors and vector operations, vector-valued functions, functions of several variables, partial differentiation, double- and triple-integration, vector fields, line and surface integration, and vector analysis.  

<p>You will be able to:

<ul>
<li> describe and use the core in analytic, numeric, graphic, and verbal contexts.
<li> solve pure and applied problems.
<li> use computer software to investigate and visualize the core, and solve multivariate calculus problems.

<li>learn mathematics effectively by reading a textbook, completing exercises, collaborating with peers, and interacting with an instructor.

<li> communicate mathematics effectively in writing and conversation.
</ul>

<h3>Class activities, attendance, study</h3>

<p>To get an *average* grade in a 4-credit hour course, you should expect:
<table>
<tr style="background-color:#ddd"><th>semester</th><th>&nbsp;</th><th>May term</th></tr>
<tr>
<td align="right">54 hours in class + 108 hrs out =</td><td>162</td>
<td>= 47 hrs in class + <b>115 hrs</b> out</td></tr>
</table>
<p>Our class is *very* concentrated: Spreading this out over the May term, each day we'll meet for 3 hours, and you should count on spending 7 hours out of class on reading, assignments, and study.
That's a lot of Calculus! That's a full time job! Make sure you take some breaks, and use weekends both for some study and some relaxation.

<p>You are expected to attend class every day and to actively participate in class activities.  You are expected to come prepared. This means that you should have read the book and be prepared to ask questions about the reading and the problems you are asked to do. You should be prepared to do problems and take part in class discussions and in class problem solving.  Attendance is reflected in the 'participation' part of your semester grade.

<p>See the page on <a href="mathdo.php">Math-<i>do</i></a>, <i>The way of math</i> for more concrete suggestions.


<h3 id='grading'> Grades</h3>
	<table border="0" cellpadding="7" cellspacing="0"  style="float:right; margin:15px">
  <tr>
    <td align="right"><b><a href='#hw'>homework</a></b></td>
    <td align="right">25%</td>
    </tr>

  <tr>
    <td align="right"><b>exams</b></td>
    <td align="right">24%$\times$3=72%</td>
    </tr>

 <tr>
    <td align="right" valign="top"><b>participation</b></td>
    <td align="right" valign="top">3%</td>
    </tr>
 
</table>
<p>minimum grade outcomes: </p>
<ul>A/A-  93%/90 <br />
  B+/B/B- 87%/83/80 <br />
  C+/C/C- 77%/73/70<br />
  D+/D 67%/60<br />
F &lt; 60% 	</ul>
<p>I <i>may</i> adjust this scheme down a bit (e.g. 89% might end up being good
  enough for an A), but I certainly won't adjust it up.<br />
  <br  />
</p>
<p>Grades are intended to reflect the degree to which the mathematical content has been mastered - not the performance of one student in relation to others.

<p>If you have reason to drop this course, be sure to check the deadline for doing so. 
If you think you need to receive the "I" (incomplete) grade, you must see me to discuss this option. An incomplete will not be automatically given.

<h3>Exams</h3>
The three exams are cumulative in the sense that material in later sections assumes understanding and knowledge gained from previous sections. 
Exams can only be rescheduled or made up under very unusual  circumstances.  You'll need written documentation and should let your instructor know ahead of time or as soon as possible thereafter.







<h3>Collaboration</h3>
<p>You are encouraged to use all available resources in order to learn the concepts and techniques discussed in this course. In particular, conversations with other students and the instructor can be an effective learning method. Reading other books and web pages can be another effective learning method. However, copying someone else's work subverts the learning process.
<p>For assignments, look at and discuss each other's work. But see if you can hide all such work and still work solutions on your own.
You can't do this on webassign, but on other written work developed during collaboration with another student, give them a shout out, writing a brief acknowledgement (just as you should cite any sources you use in all your written work at college).  

<p>For exams, of course, you may not use any resources unless a specific exception is stated by the instructor.

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<p>Failure to observe the above rules will result in a penalty ranging from a zero on the assignment or exam to immediate failure of the course. Any violation of academic integrity will be reported to the Academic Dean.

<p>Observation of the above rules will result in the satisfaction of knowing that you have earned your grade.
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<h3>Schedule &amp; Topics</h3>
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<h4>Image credits</h4>
<p><a href="http://dbs.umt.edu/flightlab/wordpress/wp-content/uploads/2011/09/upstroke.jpg">University of Montana Flight Lab</a></p>
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