HW Assignment for Math 337

This page will give a complete listing of the reading and homework assignments that you are required to do. In addition, Exam and Final dates will be listed. Most problems will be worked in WeBWorK. For WeBWorK students will login using their last name with a capital first letter and their Red ID number for a password. (Logins are case sensitive!) For example, suppose your name is Henri Poincare with Red ID number 314159265. Then you login with:

Username: Poincare
Password: 314159265

There is a Lab Manual (MATLAB and Maple) version, which will continue to be updated over the semester with detailed information for using MatLab and Maple on your assignments. For those interested in purchasing Maple, you can access the Maple adoption sheet through this hyperlink. Useful MatLab graphing template (graph_plot.m).

Week 10-11: Lectures on Second order differential equations. There are lecture notes for  Second Order Differential Equations, (4-panel) and Second Order Differential Equations - Part 2, (4-panel).
The second exam, Exam 2, is Wed. Apr. 4. There is a Review Sheet (with Solutions).
HW assignment: WeBWorK called SecondDE, which is due Tues. Apr 17 at 4 AM.

Week 12-14: Lectures continue on Second order differential equations,  Second Order Differential Equations, (4-panel) and Second Order Differential Equations - Part 2, (4-panel). Lectures begin for Laplace Transforms. There are lecture notes for Laplace Transforms: Part A (4-panel) and Laplace Transforms: Part B (4-panel) There is an additional sheet for helping understand the step function and its Laplace transform. Maple commands are presented for Partial Fractions Decomposition and Inverse Laplace tranforms (along with the Maple sheet invLaplace.mw).
Solutions for Exam 2 are available (Solutions).
The third exam, Exam 3, is Wed. Apr. 25. This exam covers second order differential equations and Laplace transforms. There is a Review Sheet (with Solutions). You can view the Laplace Table that you will be given on the Exam.
HW assignment: WeBWorK called Laplace, which is due Tues. Apr 24 at 4 AM. (Step Example.)

Week 15: There are lecture notes for Power Series (4-panel). WeBWorK assignment will be up very soon with both some review of power series and solving differential equations with power series.  Solutions for Exam 3 are available.

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Notes about Exams

The Final, is Mon. May 7 at 13:00-15:00. This exam is comprehensive, covering the entire semester, including one problem on Power series. The problems will closely resemble problems you have seen on previous exams. It follows that the review sheets for the other exams and the other exams are your best study guides. You can view the Laplace Table that you will be given on the Final.  For Final, you are allowed a Scientific Calculator (no graphing or smart functions). All Cell phones must remain out of sight. You may have three 3x5 note cards.

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Old Assignments

Week 1: There are lecture notes for an Introduction (4-Panel) and Qualitative Theory (4-Panel). There is supplemental material for using Maple from the Introduction to Maple Commands (Maple .mw) and Direction Field (Maple .mw).
HW assignment: WeBWorK called Intro DirF, which is due Mon. Feb. 5 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in by Mon. Feb. 5.

Week 2: There are lecture notes for an Linear (4-Panel) . There is supplemental material for using MatLab from Basic MatLab (murder.m, murder_plot.m) and MatLab Programming (lake2.m, lake_level.m, lake2_plot.m, fishdat.mat, sumsq_vonBert.m, vonBert_plot.m, powerfit.m, allo_plot.m, Hg_plot.m, sumsq_nonlin.m, sumsq_cubic.m, sumsq_Hg.m, sumsq_wtfish.m, wtfish.m).

Week 3: There are lecture notes for Separable Equations (4-Panel).
HW assignment: WeBWorK called LinSep, which is due Sun. Feb 18 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in by Mon. Feb. 19.

Week 4: There are lecture notes for Exact and Bernoulli Equation (4-Panel).
HW assignment: WeBWorK called Exact-EU, which is due Sun. Feb. 25 at 4 AM.

Week 5: There are lecture notes for Existence and Uniqueness (4-Panel) and Numerical Methods (4-Panel). MatLab code for Numerical Methods section (euler.m, im_euler.m, numeg.m, numeg_plot.m, numeg2.m, numeg2_plot.m, pop.m, pop_plot.m).
HW assignment: WeBWorK called NumDE, which is due Mon. Mar 12 at 4 AM. In addition to the written HW inside the WeBWorKassignment (last 3 problems), there is a proof problem to be written up. (For the Eqn. (20) in this problem use the information on the hyperlinked. The written assignment is due Mon. Mar 12. Though your Numerical Methods assignment is due after the Exam, you are still responsible for Euler's method on the Exam, so it is highly recommended that you at least complete any problem using this technique, practicing some by hand.
The first exam, Exam 1, is Wed. Feb. 28. There is a Review Sheet (with Solutions).

Week 6-7: There are lecture notes for 2D_Linear Systems_A (4-Panel) and 2D_Linear Systems_B (4-Panel). In addition there are information sheets for MatLab (greenhouse.m, greenh_plot.m, compet.m) and Maple (greenh.mw) on handling systems of differential equations. Solutions for Exam 1 are available. (Grade distribution is available.)
HW assignment: WeBWorK called DELinAlg, which is due Thur. Mar 15 at 4 AM. This assignment is simply a review of some important problems from Linear Algebra. There is a HW assignment on WeBWorK called Sys2D, which is due Fri. Mar 23 at 4 AM. This assignment covers material for solving and interpreting systems of two first order linear differential equations, and includes a few problems to be written up and turned in on Wed. Mar 21 at classtime.

Week 8-9: Lectures continue on 2D systems of differential equations. There are lecture notes for 2D_Linear Systems_B (4-Panel)and applications 2D Linear Systems Appl (4-panel), along with Maple code for drawing the phase portraits (sys_plots.mw).. There is a HW assignment on WeBWorK called SysApp, which is due Mon. Apr 2 at 4 AM. The written assignment is due Wed. Apr 4. This assignment covers material for solving and interpreting systems of two first order linear differential equations. (Obviously you can work this assignment in minutes with pplane in MatLab or DEplot in Maple, but you need to work these as if they were test questions for the upcoming exam (Apr. 4).)
The second exam, Exam 2, is Wed. Apr. 4. There is a Review Sheet (with Solutions).