Part III: The Power Stuff: Advanced Techniques in Java

Creation QR Code 2d barcode in Java Part III: The Power Stuff: Advanced Techniques

very For Dummies book features a Part of Tens, and who am I to break with tradition This part is full of cool stuff You discover the ten top differential equation online tutorials as well as the ten top online tools for solving differential equations If you want to get more info on a specific aspect of differential equations, try the tutorials If you want to work with challenging differential equations and need a little help, take a look at the tools available online

14

Understanding different aspects of differential equations with tutorials Checking out helpful notes and videos

ven if you think of yourself as a math whiz, you still may find yourself scratching your head at certain aspects of differential equations Fear not: A number of differential equation tutorials are available on the Internet and this chapter lists ten of my favorites Each site deals with various aspects of differential equations

If you re new to differential equations, you may be looking for a brief overview of the topic The Web site AnalyzeMathcom offers just that If you visit wwwanalyzemathcom/calculus/Differential_Equations/ introductionhtml, you can read an introductory tutorial on differential equations The site is run by Abdelkader Dendane, PhD, a lecturer in mathematics at United Arab Emirates University

If you re looking for a tutorial that gives good coverage of solving first order ordinary differential equations, be sure to check out the Harvey Mudd College Mathematics Online Tutorial at wwwmathhmcedu/calculus/ tutorials/odes

John Appleby, a professor in the School of Mathematical Sciences at Dublin City University in Ireland, maintains a helpful tutorial at webpagesdcuie/ ~applebyj/ms225/ms225html Be sure to click the links under the Tutorial Sheets and the Supplementary Notes headers On his site, Appleby covers separable and homogeneous equations, first order linear differential equations, second order linear differential equations, variation of parameters, and more

Dr Kardi Teknomo is a research fellow at Human Centered Mobility Technologies in Arsenal Research (which is located in Austria) Teknomo s tutorial focuses on solving differential equations using numerical methods You can find this great tutorial at peoplerevoleducom/kardi/tutorial/ ODE/indexhtml

Martin J Osborne, a professor of economics at the University of Toronto, has created a superb, multipart differential equation tutorial at wwweconomics utorontoca/osborne/MathTutorial/IDEFHTM

If you re looking for something fun and different, check out the Midnight Tutor s Video Tutorial, which is a video tutorial solving y' ycos(t) = cos(t) using separation of variables To view the video, visit wwwmidnighttutor com/de_xprime-xcost-xcosthtml

If you struggle with homogeneous and nonhomogeneous linear differential equations, there s still hope! Check out the Ohio State University Physics Department tutorial on these types of differential equations You can find the site at wwwphysicsohio-stateedu/~physedu/mapletutorial/ tutorials/diff_eqs/introhtml

Paul s Online Math Notes is an extensive set of online explanations of differential equations You can visit this site at tutorialmathlamaredu/ Classes/DE/DEaspx (Who s Paul He s Paul Dawkins, who teaches at Lamar University in Beaumont, Texas)

SOS Math (wwwsosmathcom/diffeq/diffeqhtml) is an all-purpose resource for all of mathematics, but it has an entire section on differential equations SOS Math is a great, multipart tutorial it s as complete a tutorial as you ll find online

England s University of Surrey provides an excellent tutorial on first and second order differential equations You can view this site at wwwmaths surreyacuk/explore/vithyaspages Vithya Nanthakumaar, who studies at the University of Surrey, created the site

15

uppose you re working on a particularly hairy differential equation that requires some busywork Do you need to sit and do pages of calculations Heck no! That s what differential equation solving tools are for! And tons are available Some programs cost money and sometimes, they cost a great deal of money However, a bunch of good tools also are available for free online This chapter has a sampling of those great freebies