If you're interested in abstract Algebra, you might want to check out the harvard video lectures by Benedict Gross; they're really good:
http://www.extension...bstract-algebra

For (convex) optimization, there are two great video lecture series by Steven Boyd at stanford:
http://academicearth...-optimization-i
http://academicearth...optimization-ii

For numerical analysis and more advanced numerical linear algebra, I really liked Gilbert Strang's (MIT) computational engineering videos,
http://academicearth...d-engineering-i
http://academicearth...or-engineers-ii

For a lot of the topics mentioned (topology, differential geometry, nonlinear dynamics, etc), basically anything where there is a continuum instead of just finite structures, it will be difficult to make much progress without a solid grounding in real analysis. There's a great set of video lectures by Francis Su from Harvey Mudd where I did my undergrad,
http://beta.learnstream.org/course/6/
(or http:/ /www.youtube.com/watch?v=sqEyWLGvvdw and click through to the other videos)

If you're interested in abstract Algebra, you might want to check out the harvard video lectures by Benedict Gross; they're really good:
http://www.extension...bstract-algebra

For (convex) optimization, there are two great video lecture series by Steven Boyd at stanford:
http://academicearth...-optimization-i
http://academicearth...optimization-ii

For numerical analysis and more advanced numerical linear algebra, I really liked Gilbert Strang's (MIT) computational engineering videos,
http://academicearth...d-engineering-i
http://academicearth...or-engineers-ii

For a lot of the topics mentioned (topology, differential geometry, nonlinear dynamics, etc), basically anything where there is a continuum instead of just finite structures, it will be difficult to make much progress without a solid grounding in real analysis. There's a great set of video lectures by Francis Su from Harvey Mudd where I did my undergrad,
http://beta.learnstream.org/course/6/
(or http://www.youtube.com/watch?v=sqEyWLGvvdw and click through to the other videos)

If you're interested in abstract Algebra, you might want to check out the harvard video lectures by Benedict Gross; they're really good:
http://www.extension...bstract-algebra

For (convex) optimization, there are two great video lecture series by Steven Boyd at stanford:
http://academicearth...-optimization-i
http://academicearth...optimization-ii

For numerical analysis and more advanced numerical linear algebra, I really liked Gilbert Strang's (MIT) computational engineering videos,
http://academicearth...d-engineering-i
http://academicearth...or-engineers-ii

For a lot of the topics mentioned (topology, differential geometry, nonlinear dynamics, etc), basically anything where there is a continuum instead of just finite structures, it will be difficult to make much progress without a solid grounding in real analysis. There's a great set of video lectures by Francis Su from Harvey Mudd where I did my undergrad,
http://beta.learnstream.org/course/6/
(or [link][/link] and click through to the other videos)

If you're interested in abstract Algebra, you might want to check out the harvard video lectures by Benedict Gross; they're really good:
http://www.extension...bstract-algebra

For (convex) optimization, there are two great video lecture series by Steven Boyd at stanford:
http://academicearth...-optimization-i
http://academicearth...optimization-ii

For numerical analysis and more advanced numerical linear algebra, I really liked Gilbert Strang's (MIT) computational engineering videos,
http://academicearth...d-engineering-i
http://academicearth...or-engineers-ii

For a lot of the topics mentioned (topology, differential geometry, nonlinear dynamics, etc), basically anything where there is a continuum instead of just finite structures, it will be difficult to make much progress without a solid grounding in real analysis. There's a great set of video lectures by Francis Su from Harvey Mudd where I did my undergrad,
http://beta.learnstream.org/course/6/
(or and click through to the other videos)

If you're interested in abstract Algebra, you might want to check out the harvard video lectures by Benedict Gross; they're really good:
http://www.extension.harvard.edu/open-learning-initiative/abstract-algebra

For (convex) optimization, there are two great video lecture series by Steven Boyd at stanford:
http://academicearth.org/courses/convex-optimization-i
http://academicearth.org/courses/convex-optimization-ii

For numerical analysis and more advanced numerical linear algebra, I really liked Gilbert Strang's (MIT) computational engineering videos,
http://academicearth.org/courses/computational-science-and-engineering-i
http://academicearth.org/courses/mathematical-methods-for-engineers-ii

For a lot of the topics mentioned (topology, differential geometry, nonlinear dynamics, etc), basically anything where there is a continuum instead of just finite structures, it will be difficult to make much progress without a solid grounding in real analysis. There's a great set of video lectures by Francis Su from Harvey Mudd where I did my undergrad,
http://beta.learnstream.org/course/6/
(or http://www.youtube.com/watch?v=sqEyWLGvvdw and click through to the other videos)