Math 5610 Numerical Analysis I announcements2011-01-10T23:08:24-07:00Fernando Guevara Vasquezfguevara@math.utah.eduhttp://www.math.utah.edu/~fguevara/math5610_f09/Final exam practice problems solutionstag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-12-08, 10:03AM:12602917892009-12-08T10:03:09-07:00<ul>
<li>The solutions to the final exam practice problems are here: <a href="./fp2sol.pdf">fp2sol.pdf</a>.</li>
<li>As a reminder the <strong>Final exam</strong> is <em>Wednesday Dec 16 2009, 8am-10am</em> in our usual classroom (LCB 225). Good luck in this and other finals you have.</li>
</ul>Practice final problems and Q&A sessiontag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-12-07, 10:45PM:12602511492009-12-07T22:45:49-07:00<ul>
<li>More practice final problems are here: <a href="./fp2.pdf">fp2.pdf</a>. Solutions will be posted on 12/8.</li>
<li>The <strong>especial Q&A session</strong> will be held on <em>Tue 12/8, 11am-12pm</em> in <em>Naval Science 202</em>.</li>
</ul>Final Exam, practice problems and study sheettag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-12-03, 10:43AM:12598622342009-12-03T10:43:54-07:00<ul>
<li>As a reminder the <strong>Final exam</strong> is <em>Wednesday Dec 16 2009, 8am-10am</em> in our usual classroom (LCB 225). The conditions for this exam are the same as for the midterm: no notes, calculators or books are allowed. You may bring your own paper or use the paper that will be provided. You may also bring two one-sided (or one two-sided) letter-sized and handwritten cheat sheet.</li>
<li>Here is the final study sheet that we saw yesterday in class: <a href="./final_study_sheet.pdf">final_study_sheet.pdf</a>.</li>
<li>Today we did some practice final problems: <a href="./fp1.pdf">fp1.pdf</a>. The solutions are here: <a href="./fp1sol.pdf">fp1sol.pdf</a>.</li>
<li>I expect to give out 3-4 problems at every lecture until the end of the semester so that you have an idea of typical final exam problems.</li>
</ul>Presentations, lecture notes and HW solutionstag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-11-30, 03:19PM:12596195622009-11-30T15:19:22-07:00<ul>
<li>Solutions for <strong>HW5</strong> are here: <a href="./hw05_sol.pdf">hw05_sol.pdf</a>.</li>
<li>Solutions for <strong>HW7</strong> are here: <a href="./hw07_sol.pdf">hw07_sol.pdf</a>.</li>
<li>Lecture notes for the week are here: <a href="./math5610_012.pdf">math5610_012.pdf</a>. We covered the Fast Fourier Transform with application to fast convolution. The reference code for this lecture is <a href="./fftconv1d.m">fftconv1d.m</a></li>
<li>We will have a <strong>Q&A session</strong> for the final on <em>Tue 12/8 11am-12pm</em>, room TBA.</li>
<li>You should have received an email today with the project presentation dates.</li>
</ul>HW 6 Solution and Class notestag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-11-24, 10:50AM:12590850552009-11-24T10:50:55-07:00<ul>
<li>Class notes for the week are here: <a href="./math5610_011.pdf">math5610_011.pdf</a> and include discrete least squares, least squares approximation, Chebyshev polynomials, and trigonometric interpolation.</li>
<li>The material that will be included in the final is up to Chapter 8, we should be able to finish this chapter with the Fast Fourier Transform tomorrow. I will prepare a set of problems that you do not need to turn in but that could help you with the exam. Solutions will be provided.</li>
<li>Solutions to <strong>HW6</strong> are here: <a href="./hw06_sol.pdf">hw06_sol.pdf</a>.</li>
</ul>Presentationstag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-11-16, 02:18PM:12584063362009-11-16T14:18:56-07:00<ul>
<li>For the project presentations, please email me with your preference for either 12/3, 12/7 or 12/8.</li>
<li>Lecture notes for the past week are here: <a href="./math5610_010.pdf">math5610_010.pdf</a> and include iterative methods for solving linear systems (Jacobi, Gauss-Seidel, conjugate gradient). This finishes Chapters 6 and 7. We will move to Chapter 8 (Approximation theory) either tomorrow or on Wednesday.</li>
<li><strong>HW6</strong> due <em>Mon Nov 23</em>:
<ul>
<li>Problems B&F 7.3.6, 7.3.8, 7.3.14 (only parts b,d). For Gauss-Seidel and SOR: do not use backslash to solve the triangular system. Write your own forward substitution function. In addition to the results that are asked in the textbook, please do a table comparing the number of iterations required to converge for Jacobi, Gauss-Seidel and SOR for both systems b,d.</li>
</ul></li>
</ul>Lecture notes and last two lecturestag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-11-09, 04:53PM:12578108222009-11-09T16:53:42-07:00<ul>
<li>The lecture notes covering Romberg integration, adaptive integration methods, direct methods for linear systems, and iterative refinement are available here: <a href="./math5610_009.pdf">math5610_009.pdf</a></li>
<li>There will be <strong>no lecture</strong> on <em>Wed Dec 9</em> and <em>Thu Dec 10</em>. We will make up for this time by spending less time reviewing homeworks on Tuesdays. I you are curious, I will be in the SIAM PDE conference in Miami, Florida.</li>
</ul>Homework 6tag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-11-05, 11:29PM:12574889572009-11-05T23:29:17-07:00<ul>
<li><strong>HW6</strong> is here: <a href="./hw06.pdf">hw06.pdf</a> and is due <em>Thu Nov 12</em>. The class notes for the week will be posted online soon.</li>
</ul>HW5 Typo and Office hourstag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-10-23, 05:25PM:12563403082009-10-23T17:25:08-06:00<ul>
<li>There will be no office hours on Monday 10/26</li>
<li>There is a typo in HW5 Problem 2 b: the correct expression for h is: <code>h = 10.^(0:-1:-20)</code> (use <code>.^</code> operator and the minus sign in front of 20 was missing)</li>
</ul>Projects and HW5tag:http://www.math.utah.edu/~fguevara/math5610_f09,2009-10-22, 07:30PM:12562614032009-10-22T19:30:03-06:00<ul>
<li>Lecture notes for the week are here: <a href="./math5610_008.pdf">math5610_008.pdf</a>. We covered numerical differentiation, Richardson extrapolation, numerical integration, composite integration rules and Gaussian quadrature rules.</li>
<li><strong>Projects</strong>: I’ve included project suggestions, <strong>important deadlines</strong> and what I am expecting from you here: <a href="./projects.pdf">projects.pdf</a>.
<ul>
<li>You should tell me before <strong>Nov 2</strong> the project you would like to do.</li>
<li>You can also propose your own project, however you have to run it by me to make sure it is appropriate.</li>
</ul></li>
<li><strong>HW5</strong> is due on <em>Thu Oct 29</em> and is here: <a href="./hw05.pdf">hw05.pdf</a>.</li>
</ul>