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

In addition to learning basic skills for solving Elementary Differential Equations, this course will emphasize real world applications. To make those connections we'll be using a number of computer tools. Specifically, this course uses Excel, MatLab, and Maple. Numerical templates are provided on the Lecture page and in the assignments below. MatLab can be downloaded from SDSU. There is a useful MatLab graphing template (graph_plot.m) for creating many graphs in MatLab. There is a Lab Manual (MATLAB and Maple) version 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. 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 Tues Apr 19 at 4 AM. The WeBWorK problems have a few problems to be written up and turned in on Tues Apr 19 at Noon via Gradescope.
Lecture Activities: Lecture Activity 10 - Second order ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Wed Apr 13 by Noon via Gradescope. Solutions: 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). Here is the Laplace Table that you will be given on the next Exam.
HW assignment: WeBWorK called Laplace, which is due Thurs Apr 28 at 4 AM. The WeBWorK problems have a few problems to be written up and turned in on Thurs Apr 28 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.
Lecture Activities: Lecture Activity 11 - 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 Apr 20 by Noon via Gradescope. Solutions: The solutions to Lecture Activity 10 are available here.
Computer Activities: Computer Activity 4 studies the response of the hair cells on the cochlea in the inner ear to sound. This Computer Activity has you working with a few new MatLab functions, so there is a Computer Activity 4 Help page to help you answer a number of the questions and explore new graphing methods. The written Computer Activity needs to be turned in Tue May 3 by Noon in Gradescope.
The third exam, Exam 3, is Fri. Apr 29. 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 Thur May 5 at 4 AM with one problem to be written up and turned in on Thur May 5 at Noon via Gradescope.
Solutions: The solutions to Lecture Activity 11 are available here.

_____________________________________________________________________________________________________

Notes about Exams

The first exam, Exam 1, is Fri. Feb 25. 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.
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. Mar 7 at noon on Gradescope.

The second exam, Exam 2, is Wed Apr 6. 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 Apr 29. 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 Fri May 6, 13:00-15:00 (in GMCS 314). 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

_____________________________________________________________________________________________________

Old Assignments

Week 1: There are lecture notes for an Introduction (4-Panel) to the course, which includes using the computer to fit populations. There are hyperlinks to key programs used in the Lecture notes - Excel (E. coli), MatLab (E.coli) (ecoli_plot.m, sumsq_ecoli.m, ecoli_disc_plot.m, ec_disc_lst.m). You have an assignment to connect the U.S. census data to two basic models in Excel and MatLab. There are 4 videos, which you should view to learn important techniques for Excel and MatLab.

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. 7 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in by Mon. Feb. 7 by Noon via Gradescope. For those wanting to know how to solve ODEs with MatLab, a special sheet has been prepared that gives the steps to solve Problem 19b in this HW assignment.
Computer Activities: Computer Activity 1 has some problems to actively engage you with lecture material from class, which you will work as groups (Gradescope sheet). The group report needs to be turned in by Fri. Jan 28 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 Tues. Feb 1 by Noon via Gradescope.

Week 2: There are lecture notes for Qualitative Theory (4-Panel) and Linear (4-Panel). There is supplemental material for using MatLab from Basic MatLab (murder.m, murder_plot.m), MatLab Direction Field (popphaseportrait.m, dfield8.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 Sun. Feb. 6 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 Wed. Feb 2 by Noon via Gradescope.

Week 3: There are lecture notes for Separable Equations (4-Panel).
HW assignment: WeBWorK called Lin, which is due Wed. Feb 9 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in Wed. Feb 9 by Noon in Gradescope. There is a special MatLab handout to help with Problem 10. WeBWorK called Sep, which is due Tues. Feb 15 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in Tues. Feb 15 by Noon in Gradescope.
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 Tues Feb 8 by Noon via Gradescope.
Computer Activities: Computer Activity 2 studies size and growth of microbes. Your answers are entered into a WeBWorK problem called CompLab2, which is due Mon. Feb 14 at 4 AM. There are a few written parts, which need to be turned in Mon. Feb 14 by Noon in Gradescope.
Solutions: There are solutions to selected problems from HW1 WeBWorK: Intro-DirF and solutions to the written part turned in. There are solutions to selected problems from HW Lin WeBWorK: Lin and solutions to the written part turned in.
The solutions to Lecture Activity 1 are available here. 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 Sun. Feb 20 at 4 AM. There are some written HW problems embedded inside the WeBWorK problems, which need to be turned in Sun. Feb 20 by Noon in Gradescope.
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 Thurs Feb 17 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 Feb 21 by Noon via Gradescope.
Solutions: There are solutions to selected problems from HW Sep WeBWorK: Sep and solutions to the written part turned in. The solutions to Lecture Activity 3 are available here. The solutions to Computer Activity 2 are available here.

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.
The first exam, Exam 1, is Fri. Feb 25. This exam covers first order differential equations. There is a Review Sheet (with Solutions).
HW assignment: WeBWorK called NumDE, which is due Sun. Mar 6 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 Sun. Mar 6 at noon on Gradescope.
Lecture Activities: Lecture Activity 6 - Exact and Bernoulli ODEs are some problems to actively engage you with lecture material from class, which need to be turned in by Mon Feb 28 by Noon via Gradescope.
Solutions: There are solutions to selected problems from HW Exact-EU WeBWorK: Exact-EU and solutions to the written part turned in. The solutions to Lecture Activity 4 and solutions to Lecture Activity 5 are available here.

Week 6: 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. Mar 7 at noon on Gradescope.
HW assignment: WeBWorK called DELinAlg, which is due Tue Mar 8 at 4 AM. This assignment is simply a review of some important problems from Linear Algebra.
Lecture Activities: Lecture Activity 7 - Linear Systems A are some problems to actively engage you with lecture material from class, which need to be turned in by Thur Mar 10 by Noon via Gradescope.
Computer Activities: Computer Activity 3 studies an epidemiological model (SIR) for influenza. Your answers are entered into a WeBWorK problem called CompLab3, which is due Fri. Mar 18 at 4 AM. There are a few written parts and graphs, which need to be turned in Fri. Mar 18 by Noon in Gradescope.
Solutions: The solutions to Lecture Activity 6 are available here.

Week 7: 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 Sun Mar 20 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 Sun Mar 20 at noon on Gradescope.
Lecture Activities: Lecture Activity 8 - Linear Systems B are some problems to actively engage you with lecture material from class, which need to be turned in by Sat Mar 19 by Noon via Gradescope.
Solutions: The solutions to Exam Supplement 1 are available here. The solutions to Lecture Activity 7 are available here.

Week 8-9: 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 Wed Apr 6. There is a Review Sheet (with Solutions).
HW assignment: There is a HW assignment on WeBWorK called SysApp, which is due Tues Apr 5 at 4 AM. The written assignment is due Tues Apr 5 at noon 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 9 - Linear Systems Applications are some problems to actively engage you with lecture material from class, which need to be turned in by Sun Mar 27 by Noon via Gradescope.
Solutions: The solutions to Computer Activity 3 are available here. The solutions to Lecture Activity 8 are available here. There are solutions to the written part from HW Sys2D WeBWorK: Sys2D turned in. There are solutions to the written part from HW Linear System Applications from WeBWorK