This page lists the in-recitation problems worked on during MATH 22 (Calculus 3) in Summer 2012 at <a href="http://math.mst.edu">MST</a>. <br/><br /> 




<i>Notational convention: in your textbook, vectors are bolded and look like this: $\textbf{x}$. For better readability on the computer, we use instead the notation $\vec{x}$ for vectors on these pages. </i><br /> <br />


<hr> <br />
<u>In-class work</u> <br />
<a href="./5june2012.html">5 June 2012</a> (<a href="./5june2012-solutions.html">solutions</a>) - spatial geometry, distance, vector products, sphere equation derivation, angle between vectors, projection of a point<br /><br />

<a href="./6june2012.html">6 June 2012</a> (<a href="./6june2012-solutions.html">solutions</a>) - equations of lines and planes, parallel/intersecting/skew lines <br /><br />

<a href="./7june2012.html">7 June 2012</a> (<a href="./7june2012-solutions.html">solutions</a>) - continuation of yesterday and distance between "things" <br /><br />

<a href="./8june2012.html">8 June 2012</a> (<a href="./8june2012-solutions.html">solutions</a>) - identifying equations of quadric surfaces<br /><br />

<a href="./12june2012.html">12 June 2012</a> (<a href="./12june2012-solutions.html">solutions</a>) - vector functions, limits/derivatives/integrals of vector functions, intersection of surfaces <br /><br />

13 June 2012 - EXAM DAY <br /><br /> 

<a href="./14june2012.html">14 June 2012</a> (<a href="./14june2012-solutions.html">solutions</a>) - length of space curve, unit tangent vector, unit normal vector, curvature, normal and osculating planes <br /><br />

<a href="./15june2012.html">15 June 2012</a> (<a href="./15june2012-solutions.html">solutions</a>) - position, velocity, acceleration, speed, tangential and normal components of acceleration, projectile problems (not on exam), domain of functions of two variables, level curves <br /><br />

<a href="./19june2012.html">19 June 2012</a> (<a href="./19june2012-solutions.html">solutions</a>) - limits and continuity of functions of two variables <br /><br />

<a href="./20june2012.html">20 June 2012</a> (<a href="./20june2012-solutions.html">solutions</a>) - partial derivatives <br /><br />

<a href="./21june2012.html">21 June 2012</a> (solutions) - linearizations, differentials, chain rule <br /><br />

<a href="./22june2012.html">22 June 2012</a> (solutions) - directional derivatives, gradient, tangent planes and normal lines<br /><br />

<a href="./26june2012.html">26 June 2012</a> (solutions) - local and absolute extrema <br /><br />

<a href="./27june2012.html">27 June 2012</a> (<a href="./27june2012-solutions.html">solutions</a>) - Lagrange multipliers (general type, geometry, and economics examples) <br /><br />

28 June 2012 - EXAM DAY <br /><br />

<a href="./29june2012.html">29 June 2012</a> -  double integrals <br /><br />

<a href="./3july2012.html">3 July 2012</a> - double integrals in polar coordinates <br /><br />

<a href="./5july2012.html">5 July 2012</a> - triple integrals <br /><br />

<a href="./6july2012.html">6 July 2012</a> - triple integrals in cylindrical coordinates <br /><br />

11 July 2012 - EXAM DAY <br /><br />

<a href="./13july2012.html">13 July 2012</a> - conservative vector fields, line integrals of vector fields, open, connected, and simply-connected sets <br /><br />

<a href="./17july2012.html">17 July 2012</a> - Green's theorem <br /><br />

<a href="./18july2012.html">18 July 2012</a> - curl and divergence; parametrization of surfaces<br /><br />

<a href="./19july2012.html">19 July 2012</a> - parametrization of surfaces; surface integrals<br /><br />

<a href="./20july2012.html">20 July 2012</a> <br /><br />

<a href="./24july2012.html">24 July 2012</a> - Stokes' theorem <br /><br />

<a href="./25july2012.html">25 July 2012</a> - final day review