ÿþ<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns:mv="http://macVmlSchemaUri" xmlns="http://www.w3.org/TR/REC-html40"> <head> <meta name=Title content="HMC MATH 164"> <meta name=Keywords content=""> <meta http-equiv=Content-Type content="text/html; charset=unicode"> <meta name=ProgId content=Word.Document> <meta name=Generator content="Microsoft Word 14"> <meta name=Originator content="Microsoft Word 14"> <link rel=File-List href="index_files/filelist.xml"> <link rel=Edit-Time-Data href="index_files/editdata.mso"> <!--[if !mso]> <style> v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} </style> <![endif]--> <title>HMC MATH 164</title> <!--[if gte mso 9]><xml> <o:DocumentProperties> <o:Author>Jeffrey R. 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style='text-align:center'><span style='mso-bidi-font-family: "Times New Roman"'>MATH 164: SCIENTIFIC COMPUTING<o:p></o:p></span></h1> <div class=MsoNormal align=center style='text-align:center'><span style='mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span style='mso-bidi-font-family:"Times New Roman"'><a href="syllabus-spring2013.pdf">Syllabus</a> <o:p></o:p></span></h2> <h2><span style='mso-bidi-font-family:"Times New Roman"'><a href="schedule.pdf">Schedule</a> </span><span style='font-size:12.0pt;mso-fareast-font-family:"Times New Roman"; mso-bidi-font-family:"Times New Roman";font-weight:normal'>(updated 15 April)</span><u><span style='mso-bidi-font-family:"Times New Roman";color:blue'><o:p></o:p></span></u></h2> <div class=MsoNormal align=center style='text-align:center'><span style='mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span style='mso-bidi-font-family:"Times New Roman"'>Lecture Notes<o:p></o:p></span></h2> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"'><a href="scientific-computing.pdf">Scientific Computing:<span style="mso-spacerun:yes">  </span>Lecture notes for HMC Math 164</a>.<span style="mso-spacerun:yes">  </span>(<span class=GramE>updated</span> 15 April)<o:p></o:p></span></p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"'>These notes may be viewed online or printed.<span style="mso-spacerun:yes">  </span>Since they will be modified during the semester, print only as needed.<o:p></o:p></span></p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <div class=MsoNormal align=center style='text-align:center'><span style='mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <p class=MsoNormal align=center style='text-align:center'><span style='mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> <h2><span style='mso-bidi-font-family:"Times New Roman"'>Homework problems<o:p></o:p></span></h2> <p class=MsoNormal><a href="hw.pdf">HW</a> (updated 27 March)</p> <p class=MsoNormal>Due dates will be given in class for the various problems.<span style="mso-spacerun:yes">  </span>Additional problems may be added as the course goes on.</p> <div class=MsoNormal align=center style='text-align:center'><span style='mso-bidi-font-family:"Times New Roman"'> <hr size=2 width="100%" align=center> </span></div> <h2><span style='mso-bidi-font-family:"Times New Roman"'>Paper assignments<o:p></o:p></span></h2> <p class=MsoNormal><span class=SpellE>LaTeX</span> documents<span class=GramE>:<span style="mso-spacerun:yes">  </span></span><a href="jones.tex"><span class=SpellE>jones.tex</span></a>, <a href="mcode.sty"><span class=SpellE>mcode.sty</span></a></p> <p class=MsoNormal><a href="paper1.pdf">Paper #1</a></p> <p class=MsoNormal><span style='mso-tab-count:1'>            </span><a href="equations.pdf">Compilation of equations</a></p> <p class=MsoNormal><span style='mso-tab-count:1'>            </span><a href="hmc-math164-nonlinear-dynamics.pdf">Student papers</a></p> <p class=MsoNormal><a href="paper2.pdf">Paper #2</a></p> <p class=MsoNormal><span style='mso-tab-count:1'>            </span>References:</p> <p class=MsoNormal><span style='mso-tab-count:2'>                        </span><a href="dennis-chang1970.pdf">Dennis and Chang, 1970</a></p> <p class=MsoNormal><span style='mso-tab-count:2'>                        </span><a href="fornberg1980.pdf"><span class=SpellE>Fornberg</span>, 1980</a></p> <p class=MsoNormal><span style='mso-tab-count:2'>                        </span><a href="fornberg1985.pdf"><span class=SpellE>Fornberg</span>, 1985</a></p> <p class=MsoNormal><span style='mso-tab-count:2'>                        </span><a href="Vargas_MS.pdf">Vargas, 2004</a></p> <p class=MsoNormal><span style='mso-tab-count:2'>                        </span><a href="Vargas_PhD.pdf">Vargas, 2009</a></p> <p class=MsoNormal><o:p>&nbsp;</o:p></p> <p class=MsoNormal><a href="rubric.pdf">Rubric</a> (updated 05 March)</p> <h2 align=center style='text-align:center'><span style='mso-bidi-font-family: "Times New Roman"'> <hr size=2 width="100%" align=center> </span></h2> <h2><span style='mso-bidi-font-family:"Times New Roman"'>MATLAB programs, etc. discussed in class and for hw<o:p></o:p></span></h2> <p class=MsoNormal>Jan 24: <a href="roundoff.m"><span class=SpellE>roundoff.m</span></a>, <a href="root_newton.m"><span class=SpellE>root_newton.m</span></a>, <a href="root_secant.m"><span class=SpellE>root_secant.m</span></a>, <a href="root_fzero.m"><span class=SpellE>root_fzero.m</span></a>, <a href="newton_fractal_3.m">newton_fractal_3.m</a></p> <p class=MsoNormal>Jan 31: <a href="quad_anonymous.m"><span class=SpellE>quad_anonymous.m</span></a>, <a href="quad_anonymous2.m">quad_anonymous2.m</a>, <a href="quad_nested.m"><span class=SpellE>quad_nested.m</span></a>, <a href="quad_erf.m">quad_erf.m</a></p> <p class=MsoNormal>Feb 5: <a href="ode_osc.m"><span class=SpellE>ode_osc.m</span></a>, <a href="ode_osc_event.m"><span class=SpellE>ode_osc_event.m</span></a></p> <p class=MsoNormal>Feb 7: <a href="ode_shoot_bvp.m"><span class=SpellE>ode_shoot_bvp.m</span></a></p> <p class=MsoNormal>HW#1: <a href="logb.m"><span class=SpellE>logb.m</span></a>, <a href="orbit_rootfinding.m">orbit_rootfinding.m</a></p> <p class=MsoNormal>HW#2: <a href="cornu_spiral.m"><span class=SpellE>cornu_spiral.m</span></a>, <a href="bessel_roots.m"><span class=SpellE>bessel_roots.m</span></a>, <a href="besselprime_roots.m"><span class=SpellE>besselprime_roots.m</span></a>, <a href="orbit_ode.m"><span class=SpellE>orbit_ode.m</span></a></p> <p class=MsoNormal>HW#3: <a href="period_of_simple_pendulum_I.m"><span class=SpellE>period_of_simple_pendulum_I.m</span></a>, <a href="period_of_simple_pendulum_ode.m"><span class=SpellE>period_of_simple_pendulum_ode.m</span></a>, <a href="resonance.m"><span class=SpellE>resonance.m</span></a>, <a href="symmetry_breaking.m"><span class=SpellE>symmetry_breaking.m</span></a>, <a href="symmetry_breaking_unstable.m"><span class=SpellE>symmetry_breaking_unstable.m</span></a>, <a href="symmetry_breaking_bifurcation.m"><span class=SpellE>symmetry_breaking_bifurcation.m</span></a></p> <p class=MsoNormal>HW#4: <a href="phase_portrait.m"><span class=SpellE>phase_portrait.m</span></a>, <a href="period_doubling_bifurcation_pendulum.m"><span class=SpellE>period_doubling_bifurcation_pendulum.m</span></a>, <a href="period_doubling_bifurcation_logistic_map.m"><span class=SpellE>period_doubling_bifurcation_logistic_map.m</span></a>, <a href="feigenbaum_number.m"><span class=SpellE>feigenbaum_number.m</span></a>, <a href="feigenbaum_number_high_precision.m"><span class=SpellE>feigenbaum_number_high_precision.m</span></a></p> <p class=MsoNormal>March 26: <a href="sp_laplace.m"><span class=SpellE>sp_laplace.m</span></a>, <a href="sp_laplace_new.m">sp_laplace_new</a>, <a href="newton_system.m"><span class=SpellE>newton_system.m</span></a></p> <p class=MsoNormal>HW#5: <a href="strange_attractor.m"><span class=SpellE>strange_attractor.m</span></a>, <a href="correlation_dimension.m"><span class=SpellE>correlation_dimension.m</span></a>, <a href="correlation_dimension_least_squares.m"><span class=SpellE>correlation_dimension_least_squares.m</span></a></p> <p class=MsoNormal>HW#6: <a href="laplace_solver_indirect.m"><span class=SpellE>laplace_solver_indirect.m</span></a>, <a href="laplace_solver_indirect_red_black.m"><span class=SpellE>laplace_solver_indirect_red_black.m</span></a>, <a href="laplace_solver_direct.m"><span class=SpellE>laplace_solver_direct.m</span></a>, <a href="laplace_solver_direct2.m">laplace_solver_direct2.m</a></p> <p class=MsoNormal>May 2: <a href="vortex.m">vortex.m</a></p> <p class=MsoNormal><span style='mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p> </div> </body> </html>