Welcome to this webpage!
<br><br>
<a href="syllabus-MAP4305.html">Syllabus</a>
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<b>Homework assignments:</b><br>
<b><font color=red> Note that late HW is not accepted!</font></b><br><br>


<b><font color=green> Graded HW assignments</font></b>:<p>
<a href="hw1.pdf">HW1</a> (<b>due Wed 9/12</b>) (last update: Sept 6, 5:30pm)<p>
<a href="hw2.pdf">HW2</a> (<b>due Wed 10/10</b>) <br>
Note: For problem 1, read up on the Gauss-Jordan elimination method in section 9.2 to solve linear equations, or read <a href="hw2-help">this text file</a>. Although there the examples involve only 
real coefficients and unknowns, the method works equally well if they are  complex numbers.<p>
<a href="hw3.pdf">HW3</a> (<b>due Fr 11/9</b>) <p>
<a href="extra-credit.pdf">Extra Credit Problem</a> (<b>due anytime before 12/1</b>)<p>
<a href="hw4.pdf">HW4</a> (<b>due Mon 12/3</b>).<br><br> 

<b><font color=green> Practice exams</font></b>:
<a href="practice1.pdf">practice1</a> (<a href="answer1.pdf">answers 1</a>),
 <a href="practice2.pdf">practice2</a>,
<a href="practice3.pdf">practice3</a>, <a href="practice4.pdf">practice4</a> .<br><br> 
<b><font color=green> Weekly ungraded HW assignments</font></b> (not collected):<br>

Wk 1 (ends Fr 8/24): .<p>
Wk 2 (ends Fr 8/31): Do all problems in the lecture notes that are scattered throughout the text.<p>
Wk 3 (ends Fr 9/7): Finish problems in lecture notes; 9.4: 13, 16, 23 (only first part), 9.5: 19,20 .<p> 
Wk 4 (ends Fr 9/14): 9.5:11,13,32,42, 9.6: 2,13,9.7: 11,15,21b.<p>
Wk 5 (ends Fr 9/21): .Let Exp[tA] be given. Find the matrix A.9.8:10 (also find the matrix exponential by 
the method discussed in class, using diagonalization). Read section 12.1<p>
Wk 6 (ends Fr 9/28): 12.2: 1,3,5,7,9,21, 12.3: 3,5,7,12.<p>
Wk 7 (ends Fr 10/5): 12.3: 17, 12.5: 3,5,7,9,15, 12.6: 1.<p>
Wk 8 (ends Fr 10/12): 12.6: 3,4,13,15,18.<p>
Wk 9 (ends Fr 10/19): no HW.<p>
Wk 10 (ends Fr 10/26): What is the region of convergence of sum_{n=1}^infinity x^{n^2}. 
8.2: 5, 8f, 13, 17, 30, 36; 8.3: 5,7,11, 20,32, 8.5:15, 8.6:2,7,21,27. <p>
Wk 11 (ends Fr 11/2):8.7:7,8,10,11,15,21.<p>
Wk 12 (ends Fr 11/9): no HW.<p>
Wk 13 (ends Fr 11/16): 8.8: 37,38,39, read sec 11.1, 11.2: p 667: verify periodic boundary conditions problem, 14, 16,27.<p>
Wk 14 (ends Fr 11/23):11.3: 4,5,6,9,10,16 .<p>
Wk 15 (ends Fr 11/30): 11.4: 1,3,6,8,11,16,18,21,26.<p>
Wk 16: Last Class and Exam IV on Wed 12/5.
</ul>
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<b>Announcements:</b><br>
<ul>

<li>The notes on matrices can be found by clicking
  <a href="notes.pdf">here</a>. Keep checking back regularly for updates!
  Latest version is version 6 (Sept 3, 6pm).<p>
  
 <li> <a href="tables.pdf">Soccer table</a>
  
<li> I have requested that our textbook would be put on reserve in the 
<a href="http://www.uflib.ufl.edu/msl/">Marston Science Library</a>, so you can have a look at it in case
  you have not been able to purchase your own copy yet.
  <li> Exam I (covering everything seen in class regarding Chapter 9:9.2-9.6, not 9.7 or 9.8,
   including the lecture nodes I provided)
  is on <b>Mon 9/17</b>. No calculators, books or
  formula sheets are allowed or needed. Only bring pen and blank paper. 
  There will be a review on <b>Fr 9/14</b>, where you can ask me any questions you may have and where we will discuss
  solutions to a practice exam that I will post beforehand.
<li> Exam II (covering everything seen in class regarding sections 9.7 and 9.8 and Chapter 12) is 
on <b>Fr 10/12</b> in class. Same
  format as Exam I. The review session, including a discussion of a practice exam, will be in class
  on <b>Wed 10/10</b>. 
<li> Exam III (covering everything seen in class regarding Chapter 8 except for section 8.8,
  and everything seen in
  class regarding section 12.6) is on <b>Wed 11/14</b>.
  The review session, including a discussion of a practice exam, will be in class on <b>Fr 11/9</b>.

<li> Exam IV (covering everything seen in class regarding section 8.8 of Chapter 8, and
  everything seen inclass regarding Chapters 11) is on <b>Wed 12/5</b>.
   The review session, including a discussion of a practice exam, will be in class on <b>Mon 12/3</b>.

<li> <a href="legendre.pdf">Here's</a> the proof of the lemma we needed to prove Rodrigues's formula.
It's quite different from what we did in class. (<b>Latest version Wed Nov 7</b>)

</ul>