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 with detailed information for using MatLab and Maple on your assignments. MatLab can be downloaded from SDSU. There is a useful MatLab graphing template (graph_plot.m) for creating basic graphs in MatLab. For those interested in purchasing Maple, you can access the Maple adoption sheet through this hyperlink. An information sheet is available on file management that may help students better organize computer files for this class and make it easier to invoke MatLab or Maple (provided your computer has these software packages).

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). These lectures cover classical linear second order differential equations, including the Method of Undetermined Coefficients, Variation of Parameters, and the Cauchy-Euler equation.
HW assignment: WeBWorK called SecondDE, which is due Mon. Nov 22 at 4 AM. The WeBWorK problems have a few problems to be written up and turned in on Mon. Nov 22 at Noon via Gradescope.
Lecture Activities: Lecture Activity 9 - Second order ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Thur. Nov 18 by Noon via Gradescope. Lecture Activity 10 - Cauchy-Euler/Variation of Parameters are some problems to actively engage you with lecture material from class, which need to be turned in by Wed. Nov 24 by Noon via Gradescope. The solutions to Lecture Activity 9 are available here. 

Week 12-13: 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).
HW assignment: WeBWorK called Laplace, which is due Thurs. Dec. 2 at 4 AM. The WeBWorK problems have a few problems to be written up and turned in on Thurs. Dec. 2 at Noon via Gradescope. (Step Function and Step Example, including Maple (and Maple mw file).)
Solutions: There are solutions to the written part from HW SecondDE from WeBWorK. The solutions to Lecture Activity 10 are available here.
The third exam, Exam 3, is Fri. Dec 3. 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.

Week 14-15: There are lecture notes for Power Series (4-panel).
HW assignment: WeBWorK called PowerSer, which is due Mon. Dec 13 at 4 AM with one problem to be written up and turned in on Mon. Dec. 13 at Noon via Gradescope.
Solutions: There are solutions to the written part from HW Laplace from WeBWorK.

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Notes about Exams

The first exam, Exam 1, is Mon. Oct 4. This exam covers first order differential equations. There is a Review Sheet (with Solutions). For Exam 1, you are allowed a Scientific Calculator (no graphing or smart functions). All Cell phones must remain out of sight. You may have one 3x5 note card.

The second exam, Exam 2, is Mon. Nov 8. This exam covers systems of differential equations. There is a Review Sheet (with Solutions). For Exam 2, you are allowed a Scientific Calculator (no graphing or smart functions). All Cell phones must remain out of sight. You may have one 3x5 note card.

The third exam, Exam 3, is Fri. Dec 3. 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. For Exam 3, you are allowed a Scientific Calculator (no graphing or smart functions). All Cell phones must remain out of sight. You may have one 3x5 note card.

The Final is Wed. Dec 15, 10:30-12:30 (in GMCS 325). The final is comprehensive, covering the entire semester, including one problem on Power Series (4-panel). The problems will closely resemble problems you have seen on previous exams, lecture activities, or review sheets. It follows that the review sheets for the other exams and the other exams are your best study guides.  You are given the Laplace Table that you were given on the previous Exam. 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.

Solutions for Exams

• Exam 1 - Version a and Version b
• Exam 2 - Version a and Version b
• Exam 3 - Version a and Version b

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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. Sep. 13 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in by Mon. Sep. 13 by Noon via Gradescope.
Lecture Activities: Lecture Activity 1 - Intro are some problems to actively engage you with lecture material from class, which need to be turned in by Sat. Aug 28 by Noon via Gradescope.

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), MatLab Direction Field (popphaseportrait.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).
HW assignment: WeBWorK called PhasePort, which is due Fri. Sep. 10 at 4 AM.
Lecture Activities: Lecture Activity 2 - Direction Field are some problems to actively engage you with lecture material from class, which need to be turned in by Fri. Sep 3 by Noon via Gradescope. The solutions to Lecture Activity 1 are available here.

Week 3: There are lecture notes for Separable Equations (4-Panel).
HW assignment: WeBWorK called LinSep, which is due Wed. Sep 22 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in Wed. Sep 22 by Noon in Gradescope. There is a special MatLab handout to help with Problem 18.
Lecture Activities: Lecture Activity 3 - Linear ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Mon. Sep 13 by Noon via Gradescope. The solutions to Lecture Activity 2 are available here.

Week 4: There are lecture notes for Exact and Bernoulli Equation (4-Panel) and Existence and Uniqueness (4-Panel).
HW assignment: WeBWorK called Exact-EU, which is due Fri. Oct. 1 at 4 AM.
Lecture Activities: Lecture Activity 4 - Linear ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Mon. Sep 20 by Noon via Gradescope. Lecture Activity 5 - Separable ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Mon. Sep 27 by Noon via Gradescope. The solutions to Lecture Activity 3 are available here. The solutions to Lecture Activity 4 are available here.
Some Preliminary Grade Information is available for students to check where they are in the class.
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.
There are solutions to selected problems from HW3 WeBWorK: Exact and solutions to the written part turned in. These solutions should help reviewing the material on exact and Bernoulli ODEs.

Week 5: There are lecture notes for 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.
Exam 1, the first exam, is Mon. Oct. 4. There is a Review Sheet (with Solutions).
HW assignment: WeBWorK called NumDE, which is due Thur. Oct 14 at 4 AM. In addition to the written HW inside the WeBWorK assignment (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 part of the assignment is due Thur. Oct 14 at noon on Gradescope. Though your Numerical Methods assignment can be readily done by computer, you are still responsible for Euler's method on an Exam, so it is highly recommended that you at least complete any problem using this technique, practicing some by hand.
Lecture Activities: Lecture Activity 6 - Exact ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Mon. Oct 4 by Noon via Gradescope. The solutions to Lecture Activity 5 are available here. The solutions to Lecture Activity 6 are available here.
Solutions: There are solutions to selected problems from HW4 WeBWorK: NumDE and solutions to the written part turned in. These solutions should help reviewing the material on Numerical ODEs.

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.
Exam 1 Supplement is a take-home extension of the first exam, where you do two problems associated with the numerical methods we covered in class. There is a hyperlink to Exam 1 Supplement (You will need to run the MatLab Program to obtain the "actual solution" to the second problem.) This is due Mon. Oct. 18 at noon on Gradescope. The solutions to Exam 1 Supplement are available here.
HW assignment: WeBWorK called DELinAlg, which is due Mon. Oct 18 at 4 AM. This assignment is simply a review of some important problems from Linear Algebra.

Week 8: Lectures continue on 2D systems of differential equations. There are lecture notes for 2D_Linear Systems_B (4-Panel), which cover the variety of different behaviors for 2D system of linear ODEs, along with Maple code for drawing the phase portraits (sys_plots.mw).
HW assignment: WeBWorK called Sys2D, which is due Fri. Oct 29 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 Fri. Oct 29 at noon on Gradescope.
Lecture Activities: Lecture Activity 7 - Linear Systems are some problems to actively engage you with lecture material from class, which need to be turned in by Sun. Oct 31 by Noon via Gradescope.

Week 9: Lectures continue on 2D systems of differential equations. There are lecture notes for applications 2D Linear Systems Appl (4-panel) of linear and nonlinear 2D systems of ODEs.
Exam 2, the second exam, is Mon. Nov. 8. There is a Review Sheet (with Solutions).
HW assignment: There is a HW assignment on WeBWorK called SysApp, which is due Fri. Nov. 5 at 4 AM. The written assignment is due Fri. Nov. 5 on Gradescope. 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.)
Lecture Activities: Lecture Activity 8 - Linear Systems Applications are some problems to actively engage you with lecture material from class, which need to be turned in by Sat. Nov 6 by Noon via Gradescope. The solutions to Lecture Activity 7 are available here. The solutions to Lecture Activity 8 are available here.
Solutions: There are solutions to the written part from HW Linear Sys2D from WeBWorK. There are solutions to the written part from HW Linear System Applications from WeBWorK.