Self-Study Group: Join Now Before Semester Ends!

[Jacobpm64]

Hey guys, I'm just letting y'all know that I'm working these last two weeks to finish this semester off the best that I can.. My last day of school is May 8th. Then, I'll be ready to do whatever.

 

[Tickitata]

I'm a second year pure mathematics major

If anyone would like to set up an Algebra, Analysis, Topology, or Int. E&M summer study group, let me know. I'd love to set up something like this, it sounds like a really great idea

 

[naele]

Tickitata, put me down as interested for either of those

 

[PhysicalAnomaly]

Is this still going ahead?

 

[djeitnstine]

I don't know seems as if it died. I haven't heard from anyone in a while so I started to study PDE's and continuum mechanics.

Honestly I've sort of strayed away since everyone wanted proof based material. But I can be flexible.

What is everyone thinking?

 

[PhysicalAnomaly]

I'm thinking that you should start on multivariable calculus. It's a good area where derivations and proofs go together very well. Start with vector fields and then move on to vector bundles and tensors perhaps? That's pretty important for physicists and some engineers. Or you could go the divgradcurl and integral theorems route. Maybe even differential forms. I'm at the climax of my semester so you'll have to take the lead.

 

[PhysicalAnomaly]

And yes, those are applied topics. Almost all the topics I have mentioned are applied maths topics. If you don't believe me, look up: Boas, Stroud, Kreyzieg, Arfken...

 

[naele]

I'm gearing up for a linear algebra study group on another forum that would start in the 3rd week of June. I've already got a problem set for some set theory concepts put together and I will be starting some linear algebra problem sets soon. If there's interest I can simultaneously do it here. Here's the preliminary curriculum
1. Systems of linear equations
- Gaussian, Gauss-Jordan elimination, solution sets, general + particular solution, etc.
- Matrix operations, elementary row operations, etc
2. Vector spaces
- Subspaces, spanning sets, independence, basis, dimension, etc
3. Linear Maps
- Null spaces, range, matrix representation, change of basis, projection, etc
4. Determinants
- n-dimensional determinants, properties, existence and uniqueness, laplace expansion, Cramer's rule, etc
5. Eigenvalues and Eigenvectors
- Eigenvalue problem, eigenvectors, diagonalization, similarity, nilpotence, etc
6. Inner product spaces
- Inner products, norms, orthogonality, adjoints and self-adjoints, etc
7. Canonical forms
- Jordan form, generalized eigenvectors, etc

 

[djeitnstine]

And yes, those are applied topics. Almost all the topics I have mentioned are applied maths topics. If you don't believe me, look up: Boas, Stroud, Kreyzieg, Arfken...

Ok sounds good. I'll be available MAX 2x a week, so that should be good enough since we're both busy.

Umm I'll pm you with the information so that we can set this up. We need an easily accessible book to use and decide upon a syllabus - which you seem to have mostly sorted out already. I have a great deal of e-books in my stash I can sieve through in which I can share.

 

[PhysicalAnomaly]

I'm gearing up for a linear algebra study group on another forum that would start in the 3rd week of June. I've already got a problem set for some set theory concepts put together and I will be starting some linear algebra problem sets soon. If there's interest I can simultaneously do it here. Here's the preliminary curriculum
1. Systems of linear equations
- Gaussian, Gauss-Jordan elimination, solution sets, general + particular solution, etc.
- Matrix operations, elementary row operations, etc
2. Vector spaces
- Subspaces, spanning sets, independence, basis, dimension, etc
3. Linear Maps
- Null spaces, range, matrix representation, change of basis, projection, etc
4. Determinants
- n-dimensional determinants, properties, existence and uniqueness, laplace expansion, Cramer's rule, etc
5. Eigenvalues and Eigenvectors
- Eigenvalue problem, eigenvectors, diagonalization, similarity, nilpotence, etc
6. Inner product spaces
- Inner products, norms, orthogonality, adjoints and self-adjoints, etc
7. Canonical forms
- Jordan form, generalized eigenvectors, etc

I should hope that anyone who's doing the study group with us has at least a basic understanding of these topics. Anyone who isn't is not really prepared to study anything else pure or applied.

And yes, do pm me. We can adjust the syllabus as we go along according to interest. Likewise with the tone. As for books, I was thinking that we could all use different books (whatever we have access to) and then we can share stuff that one or the other doesn't have. But yeah, your way is probably better.

 

[djeitnstine]

As for books, I was thinking that we could all use different books (whatever we have access to) and then we can share stuff that one or the other doesn't have. But yeah, your way is probably better.

Ok cool, I can get stuff cranking tomorrow since I get a day off - finally. I just really wanted everyone to have the same problem sets at least. So if there's any difficulty or something it won't be hard to help the other.

 

[PhysicalAnomaly]

What's the first topic?

 

[Jacobpm64]

Yeah, I'm here... Just PM me when y'all get something together.. and I'll tag along... I'm on summer break now for 3 months. :-)

 

[Winter Flower]

Hi. If you guys are still looking for more members, I am somewhat interested in joining. I am going to be a senior (physics/astrophysics major), and am interested in math but have had some difficulties in my past classes. This sounds like it would be helpful and fun...

 

[Pyrrhus]

Batchelor is a classic in Fluid Dynamics. It's a good book.

 

[djeitnstine]

Hi. If you guys are still looking for more members, I am somewhat interested in joining. I am going to be a senior (physics/astrophysics major), and am interested in math but have had some difficulties in my past classes. This sounds like it would be helpful and fun...

Sure just give us some time to sort things out and i'll give you a message

 

[Winter Flower]

Sure just give us some time to sort things out and i'll give you a message

Cool. Thanks. :)