ÿþ<HTML> <HEAD> <TITLE>Math 211 course page</TITLE> </HEAD> <BODY> <br> <br> <i><a href="syllabus.pdf#zoom=100"> Link to the Course syllabus</a></i> <table> <tr> <td> <table border = "1"> <th COLSPAN = 5> <b>Tentative</b> Course Schedule: </th> <tr> <td><b>Date</b></td> <td><b>Lecture Title</b></td> <td><b>Sections Covered</b></td> <td><b>Homework Assigned</b></td> <td><b>Homework Due</b></td> </tr> <tr> <td>August 25</td> <td>Overview and an introduction to Ordinary DIfferential Equations (ODE's)</td> <td>2.1, 2.2</td> <td><a href = "homework1.pdf"> HOMEWORK 1 Part 1</a><br> <a href = "examples for homework 1.pdf"> Examples Part 1</a></td> <td>none.</td> </tr> <tr> <td>August 27</td> <td>Seperable And Linear Equations </td> <td>2.2, 2.4</td> <td><a href = "homework1.pdf"> HOMEWORK 1 Part 2 added</a><br> <a href = "examples for homework 1.pdf"> Examples Part 2 </a></td> <td></td> </tr> <tr> <td>September 1</td> <td>Application to linear motion and Mixing Problems</td> <td>2.3, 2.5, </td> <td><a href = "homework2.pdf"> HOMEWORK 2 Part 1</a></td> <td>Homework 1 due</td> </tr> <tr> <td>September 3</td> <td>Exact Differential Equations</td> <td>2.6</td> <td><a href = "homework2.pdf"> HOMEWORK 2 Part 2</a></td> <td></td> </tr> <tr> <td>September 8</td> <td>Existence and Uniqueness of solutions to first order ODE's in normal form</td> <td>2.7</td> <td><a href = "homework3.pdf"> HOMEWORK 3 Part 1</a></td> <td>Homework 2 due</td> </tr> <tr> <td>September 10</td> <td>More Existence and Uniqueness and Autonomous equations and stability: qualitativly graphing solutions</td> <td>2.7,2.9</td> <td><a href = "homework3.pdf"> HOMEWORK 3 Part 2</a></td> <td></td> </tr> <tr> <td>September 15</td> <td>Finishing up with Autonomous equations and starting into Matrix Arithmetic</td> <td>2.9, 7.1</td> <td><a href = "homework4.pdf">Homework 4</a>: Part 1 is composed</td> <td>Homework 3 is due</td> </tr> <tr> <td>September 17</td> <td>Matrix Arithmetic: systems of equations gaussian elimination, and beginning subspaces</td> <td>7.1, 7.2, 7.3, 7.4 </td> <td><a href = "homework4.pdf">Homework 4</a>: Part 2 is composed</td> <td></td> </tr> <tr> <td>September 22</td> <td>Matrix Arithmetic:spans, bases, dimension, and some square matricies</td> <td>7.5, 7.6</td> <td><a href = "homework5.pdf">Homework 5</a>: part 1 is composed</td> <td>Homework 4 is due</td> </tr> <tr> <td>September 24</td> <td>Squate matricies and their inverses; the determinant</td> <td>7.6, 7.7</td> <td><a href = "homework5.pdf">Homework 5</a>: part 2 is composed</td> <td></td> </tr> <tr> <td>September 29</td> <td>Matrix Arithmetic</td> <td></td> <td><a href = "homework6.pdf">Homework 6</a>: part 1 is composed</td> <td>Homework 5 is due</td> </tr> <tr> <td>October 1</td> <td>Matrix Arithmetic and review</td> <td>a little 8.1 (definitions), 9.1, 9.2</td> <td></td> <td></td> </tr> <tr> <td>October 6</td> <td>Midterm 1: First order ODE's and matrix arithmetic.</td> <td></td> <td></td> <td></td> </tr> <tr> <td>October 8</td> <td>Solving Planar Systems</td> <td>9.2</td> <td><a href = "homework7.pdf">Homework 7</a>: part 1 is composed</td> <td></td> </tr> <tr> <td>October 13</td> <td><b>MIDTERM BREAK: NO CLASS.</b></td> <td></td> <td></td> <td></td> </tr> <tr> <td>October 15</td> <td>Some background theory and plotting solutions to Planar Systems</td> <td>8.3, 9.3</td> <td><a href = "homework8.pdf">Homework 8</a> is composed</td> <td>Homework 7 Due</td> </tr> <tr> <td>October 20</td> <td>Linear systems of ODE's with constant coefficients: finishing and systematizing the plotting of these solutions and moving on to higher dimensions</td> <td>9.3, 9.4, 9.5</td> <td><a href = "homework9.pdf">Homework 9</a> part 1. <a href = "rewrite.pdf">guideines for rewriting exam problems on midterm 1</a></td> <td>Homework 8 due</td> </tr> <tr> <td>October 22</td> <td>Linear systems of ODE's with constant coefficients: The exponential of a matrix</td> <td>9.6</td> <td><a href = "homework9.pdf">Homework 9</a> part 2. <a href = "examples9.pdf">examples coresponding</a> to homework 9 part 2.</td> <td></td> </tr> <tr> <td>October 27</td> <td>Linear systems of ODE's with constant coefficients: more on the exponential of a matrix, higher order systems, and inhomogeneous systems</td> <td>9.6, 9.8, 9.9</td> <td><a href="homework10.pdf">Homework ten</a> part one is written</td> <td></td> </tr> <tr> <td>October 29</td> <td>Higher order, one dimensional Linear ODE's with constant coefficients</td> <td>4.3, 4.5</td> <td><a href="homework10.pdf">Homework ten</a> part two is written</td> <td></td> </tr> <tr> <td>November 3</td> <td>Undetermined coefficients for high dimensional ODE's, variation of papameters for high order ODE's, and some harmonic motion</td> <td>9.9, 4.6, 4.1, 4.4</td> <td><a href = "homework11.pdf">Homework 11</a> is posted A <a href = "midterm2reference.pdf">midterm 2 study guide</a> is up</td> <td></td> </tr> <tr> <td>November 5</td> <td>Review Day. The ODE's we can solve</td> <td></td> <td></td> <td></td> </tr> <tr> <td>November 10</td> <td>Midterm 2: systems of linear ODE's</td> <td></td> <td></td> <td></td> </tr> <tr> <td>November 12</td> <td>Laplace transform</td> <td>5.1, 5.2, 5.3, 5.4</td> <td>Homework 11 part 2: Posted to Owlspace.</td> <td></td> </tr> <tr> <td>November 17</td> <td>Discontinuous forcing terms</td> <td>5.1, 5.5</td> <td><a href = "homework12.pdf">Homework 12 part 1</a></td> <td></td> </tr> <tr> <td>November 19</td> <td>the delta "function" and convolutions</td> <td></td> <td><a href = "homework12.pdf">Homework 12 part 2 together with rewrite guidelines</a></td> <td>homework 11</td> </tr> <tr> <td>November 24</td> <td></td> <td></td> <td></td> <td>Homework 12</td> </tr> <tr> <td>November 26</td> <td><b>THANKSGIVING BREAK: NO CLASS</b></td> <td></td> <td></td> <td></td> </tr> <tr> <td>December 1</td> <td>REVIEW</td> <td><a href="exam">Solution to the practice exam. Each image is a page</a></td> <td></td> <td></td> </tr> <tr> <td>December 3</td> <td>REVIEW</td> <td></td> <td></td> <td></td> </tr> </table> </td> <td valign = "top"> <i> <IMG SRC="second ed.jpg"></A> </i> </td> </tr> </table> <a href = "index.html"> Christopher Davis's Home</a> </BODY> </HTML>