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YT 16 minutes 4 seconds
4.2K views Shared 9 hours ago
Michael Penn
I solved this two ways -- which do you prefer??
YT 26 minutes 43 seconds
9.2K views Shared 2 days ago
Michael Penn
can you do the hardest problem from the European Mathematical Cup??
YT 14 minutes
6K views Shared 4 days ago
Michael Penn
from our favorite integral suggester
YT 23 minutes 43 seconds
10K views Shared 6 days ago
Michael Penn
a very tricky Diophantine equation
YT 12 minutes 45 seconds
16K views Shared 1 week ago
Michael Penn
can you solve this exponential equation?
YT 16 minutes 16 seconds
9.7K views Shared 1 week ago
Michael Penn
infinitely many primes -- the topology way!
YT 17 minutes 18 seconds
6.3K views Shared 1 week ago
Michael Penn
towards the notion of an exact second order differential equation
YT 15 minutes 53 seconds
12K views Shared 2 weeks ago
Michael Penn
I hope you didn't forget your linear algebra for this integral!
YT 11 minutes 31 seconds
10K views Shared 2 weeks ago
Michael Penn
two nice math problems
YT 14 minutes 3 seconds
9.8K views Shared 2 weeks ago
Michael Penn
two ways, one sum
YT 18 minutes 12 seconds
11K views Shared 2 weeks ago
Michael Penn
a combination of classic problem types
YT 18 minutes 46 seconds
13K views Shared 3 weeks ago
Michael Penn
A questionable factorial problem
YT 9 minutes 10 seconds
9.2K views Shared 3 weeks ago
Michael Penn
finding the last two digits
YT 13 minutes 47 seconds
24K views Shared 3 weeks ago
Michael Penn
Hardy's Integral
YT 14 minutes 32 seconds
13K views Shared 3 weeks ago
Michael Penn
thanks viewer for this nice limit!
YT 17 minutes 39 seconds
14K views Shared 3 weeks ago
Michael Penn
the integral that Feynman('s trick) couldn't solve
YT 14 minutes 48 seconds
11K views Shared 4 weeks ago
Michael Penn
a very aesthetic equation
YT 11 minutes 54 seconds
7.5K views Shared 4 weeks ago
Michael Penn
a very classic "selection" problem
YT 12 minutes 39 seconds
11K views Shared 1 month ago
Michael Penn
these are the only perfect squares
YT 10 minutes 4 seconds
12K views Shared 1 month ago
Michael Penn
the most interesting proof of L'Hospital's Theorem!!
YT 14 minutes 37 seconds
10K views Shared 1 month ago
Michael Penn
how 1+1-1+1+⋯=½
YT 12 minutes 46 seconds
12K views Shared 1 month ago
Michael Penn
what a nice integral!
YT 12 minutes 25 seconds
9.6K views Shared 1 month ago
Michael Penn
quite a nice couple of problems
YT 14 minutes 14 seconds
9.6K views Shared 1 month ago
Michael Penn
this number is "super divisible"
YT 12 minutes 38 seconds
8.2K views Shared 1 month ago
Michael Penn
a nice divisibility problem
YT 13 minutes 6 seconds
9.4K views Shared 1 month ago
Michael Penn
a very British functional equation
YT 16 minutes 33 seconds
5.5K views Shared 1 month ago
Michael Penn
on "permutable" primes
YT 13 minutes 53 seconds
6.6K views Shared 1 month ago
Michael Penn
periodically, we have a nice integral
YT 18 minutes 26 seconds
77K views Shared 1 month ago
Michael Penn
your Calculus teacher lied* to you
YT 13 minutes 8 seconds
7.2K views Shared 1 month ago
Michael Penn
Irrational distances from a set of points -- 1990 Putnam A4
YT 14 minutes 17 seconds
5.9K views Shared 1 month ago
Michael Penn
cosine in recursion
YT 13 minutes 9 seconds
7.8K views Shared 1 month ago
Michael Penn
two nice superfactorial problems
YT 3 minutes 32 seconds
7.8K views Shared 1 month ago
Michael Penn
comparing power towers
YT 15 minutes 17 seconds
14K views Shared 1 month ago
Michael Penn
a non-standard irrationality proof
YT 13 minutes 9 seconds
63K views Shared 1 month ago
Michael Penn
math professor explains viral square root problem
YT 11 minutes 49 seconds
4.7K views Shared 1 month ago
Michael Penn
How to choose courses the Putnam way.
YT 20 minutes 39 seconds
8.2K views Shared 1 month ago
Michael Penn
a surprising exponential closure
YT 11 minutes 18 seconds
17K views Shared 1 month ago
Michael Penn
does your Calculus teacher give you limits this hard?!?
YT 19 minutes 13 seconds
7.3K views Shared 1 month ago
Michael Penn
lifting the exponent -- an often missed tool for contests!
YT 15 minutes 43 seconds
9.6K views Shared 1 month ago
Michael Penn
what function satisfies these conditions??
YT 14 minutes 23 seconds
10K views Shared 1 month ago
Michael Penn
is this trickier than it seems?
YT 12 minutes 8 seconds
6.3K views Shared 1 month ago
Michael Penn
can you evaluate this crazy integral??
YT 19 minutes 57 seconds
17K views Shared 1 month ago
Michael Penn
the most outlandish technique is used to solve this...
YT 31 minutes 10 seconds
103K views Shared 1 month ago
Michael Penn
the geometry of the third derivative
YT 15 minutes 42 seconds
9.1K views Shared 1 month ago
Michael Penn
a super nice problem
YT 13 minutes 3 seconds
10K views Shared 1 month ago
Michael Penn
a complex approach to a classic sum
YT 13 minutes 9 seconds
19K views Shared 1 month ago
Michael Penn
a heroic use of the complex numbers
YT 11 minutes 39 seconds
12K views Shared 1 month ago
Michael Penn
a very cool "recursive" differential equation
YT 13 minutes 58 seconds
11K views Shared 2 months ago
Michael Penn
a twist on a classic circle problem
YT 11 minutes 48 seconds
6.4K views Shared 2 months ago
Michael Penn
"onederful" numbers
YT 21 minutes 25 seconds
15K views Shared 2 months ago
Michael Penn
one of the most beautiful techniques
YT 6 minutes 44 seconds
7.2K views Shared 2 months ago
Michael Penn
fill in the blanks on this limit
YT 11 minutes 26 seconds
18K views Shared 2 months ago
Michael Penn
is this triangle even possible??
YT 10 minutes 46 seconds
14K views Shared 2 months ago
Michael Penn
could you get in to this Japanese university?
YT 19 minutes 21 seconds
9.2K views Shared 2 months ago
Michael Penn
when three triangle is one square
YT 21 minutes 41 seconds
8.2K views Shared 2 months ago
Michael Penn
two functional equations from the IMO
YT 17 minutes 58 seconds
14K views Shared 2 months ago
Michael Penn
the why of the determinant formula
YT 15 minutes 41 seconds
13K views Shared 2 months ago
Michael Penn
probably a Putnam probability problem
YT 11 minutes 46 seconds
6.2K views Shared 2 months ago
Michael Penn
math on a broken chessboard
YT 15 minutes 55 seconds
10K views Shared 2 months ago
Michael Penn
a nice functional equation from Azerbaijan