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!) There are a few exceptions which can be found on WeBWorK Login Information. 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. MatLab can be downloaded from SDSU. Useful MatLab graphing template (graph_plot.m).

Week 9-10: 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). These lectures cover classical linear second order differential equations, including the Method of Undetermined Coefficients, Variation of Parameters, and the Cauchy-Euler equation.
Solutions: There are solutions to the second exam, Exam 2, Version a and Version b. Grade distribution of class is available.
HW assignment: WeBWorK called SecondDE, which is due Mon. Nov 19 at 4 AM.

Week 11-13: Lectures continue on Second order differential equations, 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). More Laplace solutions are done with Maple (laplace.mw). A short Laplace Transform Table will be available for subsequent exams.
The third exam, Exam 3, is Tues. Dec. 4. 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 Sat. Dec 1 at 4 AM. (Step Example.)

Week 14-15: There are lecture notes for Power Series (4-panel).
Solutions: There are solutions to the second exam, Exam 3, Version a and Version b. Grade distribution of class is available.
HW assignment:WeBWorK called PowerSer, which is due Sat. Dec 15 at 4 AM.

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Notes about Exams

The Final is Tues. Dec. 18, 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 Sun. Sep. 9 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in byTues. Sep. 11.

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 Fri. Sep 21 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in by Fri. Sep 21 by 2 PM at office. There is a special MatLab handout to help with Problem 18.
Solutions: There are solutions to selected problems from HW1 WeBWorK: Intro DirF and solutions to the written part turned in. Hopefully these will be useful study reviews.

Week 4: There are lecture notes for Exact and Bernoulli Equation (4-Panel).
HW assignment: WeBWorK called Exact-EU, which is due Sun. Sep. 23 at 4 AM.
Solutions: There are solutions to selected problems from HW2 WeBWorK: LinSep and solutions to the written part turned in. These solutions should help reviewing the material on linear and separable ODEs.

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). There is also an Excel sheet for the numerical methods, numeg.xls.
HW assignment: WeBWorK called NumDE, which is due Thur. Oct 4 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 Thur. Oct 4. 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.
Solutions: There are solutions to selected problems from HW3 WeBWorK: Exact-EU and solutions to the written part turned in. These solutions should help reviewing the material on exact ODEs. There are solutions to selected problems from HW4 WeBWorK: NumDE. The solutions to the HW4 written work is available.
The first exam, Exam 1, is Tues. Oct. 2. 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: There are solutions to Exam 1. Grade distribution of class is available.
HW assignment: WeBWorK called DELinAlg, which is due Thur. Oct 11 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 Thur. Oct 25 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 Thur. Oct 25 at classtime.

Week 8: 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 Tues. Oct. 30 at 4 AM. The written assignment is due Tues. Oct. 30. 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 or DEplot in Maple, but you need to work these as if they were test questions for the upcoming exam (Nov. 1).)
The second exam, Exam 2, is Thur. Nov. 1. There is a Review Sheet (with Solutions).