(C) 2010/2011 <a href="/%7Eshatalov/"><span style="text-decoration: underline;">Oksana Shatalov</span></a>, all rights reserved.




<center><h1> Math 152 Lecture Notes (Spring 2011)</h1></center>
<p>
<img src="book.gif" height="40" width="40">This page will be updated as the semester
progresses.
</p><p>


</p><center><h2>  Exam I Lectures
</h2></center>

<p></p><h2> Week 1</h2>
<ul>

<p></p><li> Tues 01/18/2011 <a href="152HLN_section6.4.pdf"> Section 6.4 </a> (Review of The Fundamental Theorem of Calculus) and <a href="152HLN_section6.5.pdf"> Section 6.5 </a> (Integration by Substitution) 

<p>
</p></li><li> Thurs 01/20/2011 <a href="152HLN_section7_1.pdf"> Section 7.1 </a> (Area between Curves) 

</li></ul>
<p>

</p><p>
</p><h2> Week 2</h2>
<ul>
<li> Tues 01/25/2011 <a href="152HLN_section7_1.pdf"> Section 7.1 (continued)</a> (Area between Curves) and <a href="152HLN_section7_2.pdf"> Section 
7.2 </a> (Volume)
<p>

</p></li><li> Thurs 01/27/2011 <a href="152HLN_section7_2.pdf"> Section 7.2 </a> (continued)
<p>

</p></li></ul>

<p></p><h2> Week 3</h2>
<ul>

<p>

</p><li> Tues 02/01/2011 <a href="152HLN_section7_3.pdf"> Section 7.3 </a> (Volumes by Cylindrical Shells)

<p>


</p></li><li> Thurs 02/03/2011 <a href="152HLN_section7_4.pdf"> Section 7.4 </a> (Work)

</li></ul>

<p>
</p><h2> Week 4</h2>
<ul>

<p> </p><li>Tues 02/08/2011 <a href="152HLN_section7_5.pdf"> Section 7.5 </a> (Average Value) 



<p>
</p></li><li>Thurs 02/10/2011 
 <a href="152HLN_section8_1.pdf"> Section 8.1
</a>(Integration by
Parts)
<p>
</p>


</li></ul>

<p>
</p><h2> Week 5</h2>
<ul>

<p> </p><li>Tues 02/15/2011 
 <a href="152HLN_section8_2.pdf"> Section 8.2 </a> (Trigonometric
Integrals)
<p>



</p><p>
</p></li><li>Thurs 02/17/2011 
<a href="152HLN_section8_3.pdf"> Section 8.3 </a> (Trigonometric
Substitutions)


<p>
</p>

</li></ul>

<p>
</p><h2> Week 6</h2>
<ul>

<p> </p><li>Tues 02/22/2011
<a href="152HLN_section8_4.pdf"> Section 8.4 </a> (Integration of rational functions by partial fractions)
<p>



</p><center><h2>  Exam II Lectures
</h2></center>


<p></p></li><li>Thurs 02/24/2011
<a href="152HLN_section8_9.pdf"> Section 8.9 </a> (Improper Integrals)
<p></p></li></ul>

<p></p><h2> Week 7</h2>


<p>
</p><ul>
<li> Tues 03/01/2011 <a href="152HLN_section9_3.pdf"> Section 9.3 </a> (Arc Length)


<p>
</p></li><li> Thurs 03/03/2011 Exam 1
</li></ul>

<p></p><h2> Week 8</h2>


<p>
</p><ul>
<li> Tues 03/08/2011 <a href="152HLN_section9_4.pdf"> Section 9.4 </a>  (Area of a Surface if Revolution)
<p></p></li><li> Thurs 03/10/2011 <a href="152HLN_section10_1.pdf"> Section 10.1 </a> (Sequences)
</li></ul>

<p></p><h2> Week 9</h2>


<p>
</p><ul>
<li> Tues 03/22/2011 <a href="152HLN_section10_2.pdf"> Section 10.2 </a>  (Series)
<p></p></li><li> Thurs 03/24/2011 <a href="152HLN_section10_3.pdf"> Section 10.3 </a> (The Integral and Comparison Tests; Estimating Sum)
</li></ul>




<p></p><h2> Week 10</h2>


<p>
</p><ul>

<li> Tues 03/29/2011  and Thurs 03/31/2011 Section 10.3  (The Integral and
Comparison Tests; Estimating Sum - continued), <a href="152HLN_section10_4.pdf"> Section 10.4 </a> (Other Convergence Tests) and  
<a href="152HLN_section10_5.pdf"> Section 10.5 </a> (Power Series)
</li></ul>


<p>
</p>



<p></p><h2> Week 11</h2>

<p>
</p><ul>
<li> Tues 04/05/2011  and Thurs 04/07/2011 Section 10.5  (Power Series - continued),
<a href="152HLN_section10_6.pdf"> Section 10.6 </a> (Representation of Functions as Power Series) and 
<a href="152HLN_section10_7.pdf"> Section 10.7 </a> (Taylor and Maclaurin Series)
</li></ul>


<p>
</p>



<center><h2>  New material for the Final Exam
</h2></center>



<p></p><h2> Week 12</h2>

<p>
</p><ul>
<li> Tues 04/1
<a href="152HLN_section10_7.pdf"> Section 10.7 </a> (Taylor and Maclaurin Series continued ) and <a href="152HLN_section10_7_continue.pdf"> 
Taylor Polynomials </a> 
</li></ul>
<p>
</p><li> Thurs 04/14/2011 Exam 2
</li>




<p></p><h2> Week 13</h2>

<p>
</p><ul>
<li> Tues 04/19
<a href="152HLN_section10_7_continue.pdf">
Taylor Polynomials </a> continued and <a href="152HLN_section11_1.pdf">  Section 11.1 </a> (Three-dimensional coordinate system)

</li></ul>
<p>
</p><li> Thurs 04/14/2011 <a href="152HLN_section11_2.pdf">   Section 11.2 </a> (Vectors and the Dot Product in Three Dimensions)


</li>
<p></p><h2> Week 14</h2>

<p>
</p><ul>
<li> Tues 04/26
 Section 11.2  (continued) and
  <a href="152HLN_section11_3.pdf">  Section 11.3 </a> (The Cross Product)

</li></ul>



<p>
</p><li> Thurs 04/28/2011 <a href="152HLN_13_4.pdf">   Section 13.4 </a> (Polar coordinates) 
</li>