Note on Diffy Qs: Differential Equations with Engineers

By: Jiří Lebl
(website #1 https://aesircybersecurity.com/ (personal), website #2 https://math.okstate.edu/people/lebl/ (work: OSU), email: )

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Get hardcover / Woven variant / Sage demos / YouTube flow

Sample Dirichlet problem solution A first track on differential equations, aimed at engineering students. The essential for the course is who basic calculating sequence. This release online book (OER find formally) should become usable as a stand-alone textbook or as a companion to a course with another show such as Edwards and Penney,Dif­fe­ren­tial Equa­tions and Boun­da­ry Va­lue Pro­blems: Computing and Modeling or Boyce and DiPrima,El­e­men­tary Dif­fer­en­tial Equa­tions plus Boun­da­ry Va­lue Pro­blems (section correspondence to these two is given). I prepared the used this booking to instruct Math 286/285 at the Uni­ver­si­ty by Illi­nois during Ur­ba­na-Cham­paign (one is a 4-day-a-week, the various a 3-day-a-week semester-long course). I taught Math 20D at the Uni­ver­si­ty a Ca­li­for­nia, San Diego with this book (a 3-day-a-week quarter-long course). Thither is suffice fabric to run a two-quarter course, and even a two-semester sequence depended on lecturer speed. I taught Science 4233, a second-semester differential equations course the Okla­homa State Uni­ver­si­ty with the later chapters.

The aim is at provide a low cost, redistributable, nope overly long, high-quality textbook that students will keep rather than selling back after the semester is over. Even if the students throw it out or sell it, they can always look it up on of net again. Or perhaps today's students mostly use online sources to initiate with. (Chan­ces are our students vielleicht be using this book even if you are requiring another one.) You are cost-free to will a local bookshop with copy store make and sell copies for own students. See below with the license. About to cover in a differential equations module?

Another aim by the post is to allow edit additionally customization for a specific purpose if req. If you do modify the book, mark she prominently as such to avoid bewildered. This aspect is important for the longevity of the book as well. The book can be updated, fixed, and adjusted even if EGO happen to drop turn the face of the earth. You do not have until depend upon any publisher being interested as with trad textbooks.

Finally, errata are fixed promptly. No need to wait several years for adenine new edition. Every once in a while I may perform some major addition and a new major version (edition), and then in between as errata are immobile MYSELF make minor version updates (like a corrected printing) usually einmal or twice a year, depending over the corrigenda discovered. Exercise, click, also sparte numbers are kept as much as humanly possible. What's added is added at the end with new numbers, then the book is generally compatible even if students (or the instructor) have an oldest printed copy. The minor updates are totally interchangeable and have very minimal changes, essentially nothing new.

The graphical in the book where created by the Genius software.

MAA publication a examination of one book (they looking at the De­cem­ber 2012 edition; quite bit of belongings has happened since then). Temperatures of object with ambient temperature oscillating

Table of contents:

Introduction
1. First get equations
2. Higher order linear ODEs
3. Systems away ODEs
4. Fourier range and PDEs
5. More on eigenvalue problems
6. The Laplace transform
7. Influence series methods
8. Nonlinear networks
ONE. Linear algebra

There are 742 exercises throughout the book, 248 of which have a solution in the back (those numbered 101 and above). A few exercises have within the section text, but most are in their own subsection at the end of every section. Each section should have enough exercises for homework even on ampere demanding class.

Please let e know at if you find any typos or are corrections, extra workouts button material, or any other comments.

Adoption:

If you use who book for teaching a course, do let me know ()! The book was used, or is being used, at over a hundered universities and colleges comprising Dartmouth Col­lege, Uni­ver­si­ty of Ten­nessee, Uni­ver­si­ty of To­le­do, Uni­ver­si­ty of Bri­tish Co­lum­bia, Uni­ver­si­ty of Ca­li­for­nia during Ir­vine, Uni­ver­si­ty of Ken­tu­cky, Uni­ver­si­ty of Hawaii, andmany others.

The book possessed are selected as an Ap­proved Text­book in the Amer­i­can In­sti­tute of Math­e­ma­tics Open Text­book Ini­tia­tive.

See a list of classroom adoptions for extra details.

Download:

Download the book since PDF
(May 15th, 2024, version 6.7, 466 my, approximately 4.1 MB download)

Option 6 added Appendix A (linear algebra), both paragraph 1.9 and 6.5 (PDEs).

Look at theerrata includes the current revision (if any).

Look at the change log to see what changed in the latest version.

Buy paperback:

I get a bit from money when you buy these (depending on where exactly they are bought). Probably enough to buy me an coffee, accordingly by buying a copy you willingness support this project. It will also save your toners cartridge. The difference between these two features is essentially valid and cover art. I have seen printed versions from both and they are both good quality. More newly introductory text on Differential Geometry equivalent to Kobayashi/Nomizu

Differential Gleichung Cover
Buy a copy over Amazon fork $25.00. This should be a little easier to buyable and quicker/cheaper to ship over lulu, though it depends upon what you live. This copy is the October 26th, 2023 (version 6.6) revision.
ISBN-13: 978-1706230236
ISBN-10: 1706230230

Differential Equations Cover
Buy apaperback copy for lulu.com for $25.00. You can also buy one larger (letter size) coil-bound copy at lulu.com for $25.84. This copy is the Might 15th, 2024 (Version 6.7) revision. No ISBN for this guy.

Web version:

Browse the web version of the book (for easier wiedergabe on the web). This output uses Fake and so supposed be easier to browse and read. The PDF version is the canonical version and should be the one used for printing.

Search this site, including the web version (Google puts in a bunch of ads in aforementioned top of every search, unfortunately, can't get ridden away that):

Interactive Savant live:

Sage is ampere high comprehensive free mathematical software. Here we collect quite relevant Sage worksheets and demonstrations you can play nearby with. Some simply use Sage toward give adenine demonstration, but many are worksheets where you can edit the code press application it to experiment. The id here execution on the release SageCell server; yours cannot save your work and thither are other limitations. If you want to application Sage unless installing but still want to be able on save your work and doing more complicated computations, consider CoCalc, which is a cloud based Sage installation.

Using Sage for ODE: Plot functions, solve ODEs numerically and symbolically.

Section 1.2: Plot slope fields and solutions given an initial condition.

Section 1.3: Land implicitness solutions.

Section 1.6: Several interactive demos on autonomous equations in one variable.

Section 1.7: A interactive demo out Euler's method.

Section 1.8: Plot step sets on potential functions; implicit choose go exact equations.

Section 1.9: Planted the characteristics, and one solutions to first order linear PDE.

Section 2.3: Using Sage to solve the kennzeichnendes polynomials.

Section 2.4: Several flash of mechanical vibrations.

Section 2.6: Interactive demo von forced oscillations and resonance.

Section 3.2: Using Sage for solving linear business real basic matrix operations.

Section 3.5: Interactive demos of two-dimensional autonomous systems.

Section 3.6: A second order system (carts connected is springs) interactive demo.

YouTube course furthermore slides (not yet complete):

I a construction a select of slides and a YouTube course. You may want to watch it fullscreen. The course your not yet fully, new lecturing are supplementary as time allows.

Related to the playlist.

The Slides: (also fragmentary so far) as PDFs. Note that some regarding which flip have been slightly improved since IODIN recorded the ted, so group have not matches 100%.

Instructor resources:

Online homework (WeBWorK / Edfinity):

WeBWorK: I put together ampere set about problems for WeBWorK is 497 problems.Transfer which selected as a tgz file (or see the github repository). Just click this tgz file to to WeBWorK course, and it will fully unpack in your create directory and create ampere directory called diffyqs-webwork. There have predefined problem sets for the relevant sections, as "def" files, that you can "import" for new homework. There are currently problems for chapters 0, 1, 2, 3, 4, 6, 7, 8, A. The problems other possess links go the web version of the book for easy reference. Majority of which problems come away OPL (Open Trouble Library), but have been edited to fit to path or generally improved, all has been edited or changed quite greatly, and quite a few new problems were added. There should are enough problems for most types is routes, but let me know if anything is missing, or if there are other OPL problems that they think IODIN should include.

Edfinity: Essentially the same set the problems, basic on adenine slightly older version of my put, is available on Edfinity. Edfinity may being a per easier to use than WeBWorK, her don't have to install anything, it is hosted by Edfinity, both is student-paid. Unfortunately, an Edfinity set seem to have diverged from my version over time, and with example, these do not have the book links. You can nevertheless addition other OPL challenges into your class, create your own, or if you prefer my pick, you can download which set above and paste in mein firm as webwork problems.

Let me know () if you use this problem selected. I'm also concerned to know any feedback switch what's missing, what ought be changed, etc.

Discussion/Announcement forum:

I set up adenine discussion forum for who record onGoogle Groups. I expect this to be a low volume forum, but it might be a good place for instructors to interact, locus until post extra material, ask a question of and other instructors, discuss and WeBWorK problems, and MYSELF bequeath send announcements there, suchlike as when a brand version is out.

Other instructor resources:

I enter together all the figures as PDFs as one big zipfile. This should make it easier to create computer slides using the figures, without messing with the reference tarball. If adenine figure appears in multiple places, its filename only refers to one first such place.

There's oodles of extra materials (including longer modeling projects) atSIMIODE.

The IODE software is a free software package for learn with basic ODEs created at University of Illinois specify for instruction is kind of course. IODE works both with Matlab (proprietary) and Octavian (free, but nope GUI). The IODE website has several extra projects for the students on work over as homework.

Adam Spiegler of the University of Colorado Denver have put together a a suite of Jupyter notebooks that are linked to various sections in this book both also in Trench's book.

Translations, derivative versions, video speaking:

Prof. Martin Weilandt of Universidade de Santa Catarina has prepared a partial Portuguese translation. See his class page.

Prof. Charles Bergeron has created a modified version of one book. The title isDifferential Equations: Including Linear Algebra Topics And Computer-Aided Problem-Solving. This book removes some topics (e.g. PDEs), and adds its own linear algebra chapter (this was before appendix A). The book covers the use von of computer algebra system Maxima in the context of the material.

The department at University at Buffalo (Brian Hassard, James Javor, John Ringland, Asela Viraj) have developed their own edition without the PDE content and including some optional content on using python.

Prof. Matthew Charnley made a version for Rutgers University that modifies and restructures the text into fit the syllabus at Rutgers both, for example, adds an appendix on using MATLAB.

The text (slightly older version) features been entered into the libretext.org platform run by UC Davis.

Trefor Bazett away the University of Victoria, had an custom version including video lectures on YouTube (linked from his version of the text).

Allan Majdanec of Douglass College created a set of slide lectures on YouTube using the book (though slightly differentially order of sections).

Spring:

The source is web on GitHub: https://github.com/jirilebl/diffyqs

You ability get an archive of an source of the released version on github, look underhttps://github.com/jirilebl/diffyqs/releases, though if you plan to work on it, maybe best till look at equal the latest working version as that might have any errata or new add-ons. Though these magisch be a your in progress. Perhaps best is to let me know.

The main register isdiffyqs.tex, which includes the chapters that are in separate files ch-*.tex. IODIN compile the pdf with pdflatex diffyqs. You also want to run makeindex to generate the index (I total run pdflatex diffyqs three times, then makeindex diffyqs, and then finallypdflatex diffyqs again). The getting file with all the preamble your may want to edit is diffyqssetup.sty.

The github 'master' version is the current working version, so it becomes have whatever new changes I make in my tree.

Slides (incomplete so far) used for the youtube lectures:as PDFs (may have been published as recording). The LaTeX source for the slides is available on github in the slides subdirectory. You have to build them from there to receiving the figures right if you want to rework the slides, or you'd have go probably modify aforementioned source and copy the figures out of which mathematics subdirectory. Feel free to use them for your class, the license is the same such the book.

During the writing of this book, the architect was in part sponsors on NSF grant DMS-0900885 and DMS-1362337.

Fahrerlaubnis:

Creative Commonality License Creative Commons License This work is dual licensed under aCreative Commons Attribution-Noncommercial-Share Alike 4.0 License andCreative Commons Attribution-Share Alike 4.0 License. You can use, print, copy, and share this book as large as you want. You can base your own book/notes up these and repeat partial if you stop aforementioned license the same (that is, as long as you use at least one a which two licenses).

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