Video lectures for differential equations 2

AI Thread Summary
The discussion centers around seeking video lecture resources to supplement the textbook "Differential Equations 4th Ed." by Blanchard, Devaney, and Hall, which is criticized for its unclear explanations. Key topics of concern include using series and linear algebra for solving systems with complex eigenvalues, graphical behavior of solutions, and methods like Frobenius' Method and power series for non-constant coefficients. While some participants suggest exploring alternative textbooks, such as Boyce and Di Prima's, others recommend video resources like MathIsPower4u.com and MIT OpenCourseWare's 18.03SC course, which includes exercises on eigenvalue problems. However, there is a note that MIT's recitations are not available, potentially leaving gaps in the learning experience.
rmiller70015
Messages
110
Reaction score
1
I took differential equation 2 last semester and the book we used wasn't so great at explaining a lot of things. I was wondering if anyone knew of a video lecture series that parallels my book (Differential Equations 4th Ed. by Blanchard, Devaney, and Hall). Specifically I am having trouble with how to use series and linear algebra to find solutions for systems with complex eigenvalues and how those solutions behave graphically. Also, there is a bit about Frobenius' Method and a power series method for finding non-constant coefficients that I am having issues with.
 
Physics news on Phys.org
rmiller70015 said:
I took differential equation 2 last semester and the book we used wasn't so great at explaining a lot of things. I was wondering if anyone knew of a video lecture series that parallels my book (Differential Equations 4th Ed. by Blanchard, Devaney, and Hall). Specifically I am having trouble with how to use series and linear algebra to find solutions for systems with complex eigenvalues and how those solutions behave graphically. Also, there is a bit about Frobenius' Method and a power series method for finding non-constant coefficients that I am having issues with.
I'm not aware of any video lectures, so can't recommend anything in this line. Also, I'm older, so when I was taking classes like these, the textbook was the main source, and there were no videos whatsoever. In any case, I would recommend getting another textbook for DE rather than searching (possibly in vain) for somebody's video.

My first reaction to your post was thinking that maybe the book wasn't so bad, but you weren't able to extract information from it. After looking at a number of reviews on Amazon, it seems that quite a few of the people reviewing the book aren't happy with it, in part because it tends to read more like a novel than a mathematics textbook, and with its conversational style at the expense of showing equations.

There are a lot of textbooks out there that follow a more traditional presentation. One that comes to mind is by Boyce and Di Prima. I have several DE textbooks from when I taught these courses, but it's been almost 20 years since I last taught such a class, and all of my books date from back then.
 
How about this playlist from MathIsPower4u.com?

https://dl.dropboxusercontent.com/u/28928849/Webpages/DifferentialEquationsVideoLibraryTable.htm
 
jedishrfu said:
How about this playlist from MathIsPower4u.com?

https://dl.dropboxusercontent.com/u/28928849/Webpages/DifferentialEquationsVideoLibraryTable.htm

Holy balls, thank you so much.
 
Have you heard of MIT OCW? it's pretty cool, complete courses of basic(calculus, linear algebra) and more advance things on video lectures, the 18.03 course is on Differential Equations, and exists a playlist on Youtube named 18.03SC where after the real lectures the next video is on doing exercises from the section of the past lecture, and i remember that one of this videos is on doing EXACTLY Eingenvalue problems for Real and Complex System of ODEs, you should look for it ;)
 
Andreol263 said:
Have you heard of MIT OCW? it's pretty cool, complete courses of basic(calculus, linear algebra) and more advance things on video lectures, the 18.03 course is on Differential Equations, and exists a playlist on Youtube named 18.03SC where after the real lectures the next video is on doing exercises from the section of the past lecture, and i remember that one of this videos is on doing EXACTLY Eingenvalue problems for Real and Complex System of ODEs, you should look for it ;)

Yes, but they don't post the recitations so there is a lot of missing information.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

Similar threads

Replies
5
Views
2K
Replies
5
Views
4K
Replies
8
Views
4K
Replies
16
Views
10K
Replies
2
Views
1K
Replies
1
Views
1K
Replies
5
Views
5K
Replies
2
Views
1K
Back
Top