Andrews University is a national university in southwest Michigan, recognized for its commitment to excellent Christian education and ranked the nation's most ethnically diverse campus, serving students from across the world. The department of mathematics offers degrees in mathematics (theoretical, applied, and statistics) and data science, preparing undergraduates for highly competitive graduate programs and impactful careers.
Well I think that it great lecture your skills in visualiation and explaying are great, However, As a math student I feel sadness because of lack of proofs. I didn't watch every video from this course yet, as I can guess from titles you go through all the topics from book "Algebraic Topology" as I saw this book have 500 pages and use advanced math stuff lake teory category (or notation form that) so I understand why you skip some proofs in this course but I will be greatful if you can add some additional supplement with proofs!
I love the way you explained singular n complexes, we did it in class with the same definition, but I didn't really understand what it meant, the example really helped
Ive heard that at least a couple of the impossible compass/s.e. constructions ARE possible when paper folding is allowed (i.e.:origami folds). I wonder what the field extensions of all possible origami folds would be?...and how do we go from those more abstract extensions to ~dirty ~reality ? (E.g.: you introduce minute deformations since the paper isnt perfectly flat/can only be folded in half ¿7? times/etc)
Anyone else notice around 37:32 someone starts losing patience? If never seen someone write a bold Q like that...I've seen someone throw an avocado that was too hard into a garbage can during rush hour at a restaurant in a similar way. LoL ..."okay we'll waste time on it."
you defined linear combination and span on a set B which isn't even a VECTOR SPACE in itself, that's wrong!! try adding 1 and x^2, it doesn't lie inside B
there are a hell lot of things that you explained like linear combination and span using a set B which isn't even a vector space or subspace of P, when these definition holds only to vector space, think of adding 1 and x^2, its not a part of B right, then B isn't a vector space, then its linear combination may also not be a part of it....
This is so clear, conveying the brilliance of the theorems and applications in an intuitive way. Well done! The results of Van-Kampen's theorem are so incredible too
How is it that in 1:05:28 the fundamental group of A intersect with B (which is Z) is embedded in fundamental group of de disk in two dimension if this its trivial? Is there something that I missing?
