pi^3.14 vs 3.14^pi
Michael Penn
pi^3.14 vs 3.14^pi
11:16
a nice exponential diophantine equation
Michael Penn
a nice exponential diophantine equation
23:56
a classic result three ways
Michael Penn
a classic result three ways
13:51
using a rule to prove the infinitude of primes
Michael Penn
using a rule to prove the infinitude of primes
23:24
how would you show this??
Michael Penn
how would you show this??
9:51
a beautiful Ramanujan product
Michael Penn
a beautiful Ramanujan product
15:53
Why you should always practice numerical calculus
Michael Penn
Why you should always practice numerical calculus
1:38
a non-unique limit
Michael Penn
a non-unique limit
14:04
Practice - Can you find the area under this curve?
Michael Penn
Practice - Can you find the area under this curve?
1:50
Solve this sum practice problem with me
Michael Penn
Solve this sum practice problem with me
2:47
Use the formulas to find the area under ANY curve
Michael Penn
Use the formulas to find the area under ANY curve
2:51
The best way to visualize finding the area under a curve
Michael Penn
The best way to visualize finding the area under a curve
1:53
The most important thing to understand about calculus
Michael Penn
The most important thing to understand about calculus
0:40
Part 2/2 - Finding f(x) from f'(x)
Michael Penn
Part 2/2 - Finding f(x) from f'(x)
2:44
Part 1/2 - Finding f' from f'' using the antiderivative
Michael Penn
Part 1/2 - Finding f' from f'' using the antiderivative
2:28
Reacting To The Man Who Knew Infinity!
Michael Penn
Reacting To The Man Who Knew Infinity!
1:08
Badass Proves His Professor Wrong and Becomes One Of The Greatest Mathematicians of All Time
Michael Penn
Badass Proves His Professor Wrong and Becomes One Of The Greatest Mathematicians of All Time
1:44
This Mathematician Ended WWII
Michael Penn
This Mathematician Ended WWII
1:22
Is This Actually True For Getting Better At Math?
Michael Penn
Is This Actually True For Getting Better At Math?
0:57
how to take a walk and miss every rational number
Michael Penn
how to take a walk and miss every rational number
13:59
Reacting to Stand and Deliver - Famous Math Movie!
Michael Penn
Reacting to Stand and Deliver - Famous Math Movie!
0:58
Quick Fire Antiderivative Questions
Michael Penn
Quick Fire Antiderivative Questions
1:36
How far did this car travel while slowing down? Live Lecture Practice Question
Michael Penn
How far did this car travel while slowing down? Live Lecture Practice Question
2:30
Calculate the deceleration of this car! (Live Lecture Practice Question)
Michael Penn
Calculate the deceleration of this car! (Live Lecture Practice Question)
1:56
Practice Question: Initial Value Problem
Michael Penn
Practice Question: Initial Value Problem
1:33
from an integral to a differential equation
Michael Penn
from an integral to a differential equation
23:39
Learn these important rules for finding antiderivatives!
Michael Penn
Learn these important rules for finding antiderivatives!
2:02
Use the power rule to find antiderivative
Michael Penn
Use the power rule to find antiderivative
1:44
Find the Antiderivative in less than 90 seconds!
Michael Penn
Find the Antiderivative in less than 90 seconds!
1:16
the best proof that the real numbers are uncountable!!
Michael Penn
the best proof that the real numbers are uncountable!!
13:38
Find numbers with different bases
Michael Penn
Find numbers with different bases
2:32
Quick Fire Roman Numeral Practice Questions
Michael Penn
Quick Fire Roman Numeral Practice Questions
1:50
Use the Mayan number system to find this number
Michael Penn
Use the Mayan number system to find this number
1:40
why the math GRE is so challenging
Michael Penn
why the math GRE is so challenging
19:13
HARD MODE: Translate this Number with the Babylonian Number System
Michael Penn
HARD MODE: Translate this Number with the Babylonian Number System
1:19
Easy Mode: Translate This Number Using the Babylonian System
Michael Penn
Easy Mode: Translate This Number Using the Babylonian System
1:06
Can you find the antiderivative of this function?
Michael Penn
Can you find the antiderivative of this function?
2:06
can you find the radius??
Michael Penn
can you find the radius??
9:49
Hypothetical Scenario - Use calculus to find the fastest way to the island!
Michael Penn
Hypothetical Scenario - Use calculus to find the fastest way to the island!
1:50
Use Critical Points To Find the Largest Area For This Garden
Michael Penn
Use Critical Points To Find the Largest Area For This Garden
1:41
Live Lecture Practice - What is the maximum area of this garden?
Michael Penn
Live Lecture Practice - What is the maximum area of this garden?
2:46
Checking a functions concavity with the 2nd derivative!
Michael Penn
Checking a functions concavity with the 2nd derivative!
1:50
behind the internet's favorite integration trick
Michael Penn
behind the internet's favorite integration trick
12:28
How to check where functions are increasing/decreasing with the first derivative!
Michael Penn
How to check where functions are increasing/decreasing with the first derivative!
2:58
Follow along to simplify this function
Michael Penn
Follow along to simplify this function
1:51
This trick makes solving derivatives easy!
Michael Penn
This trick makes solving derivatives easy!
1:21
can you evaluate this limit?
Michael Penn
can you evaluate this limit?
18:14
Part 2/2 - Following along as I solve this U-Substitution Problem
Michael Penn
Part 2/2 - Following along as I solve this U-Substitution Problem
1:26
Part 1/2 - U-Substitution Practice Problem (Follow along)
Michael Penn
Part 1/2 - U-Substitution Practice Problem (Follow along)
1:47
can you evaluate this sum??
Michael Penn
can you evaluate this sum??
13:45
when Feynman's trick doesn't work..
Michael Penn
when Feynman's trick doesn't work..
15:57
Fibonacci's favorite linear algebra problem
Michael Penn
Fibonacci's favorite linear algebra problem
14:24
two average limits
Michael Penn
two average limits
12:50
sines within cosines for this integral
Michael Penn
sines within cosines for this integral
12:39
the nicest proof of the infinitude of primes
Michael Penn
the nicest proof of the infinitude of primes
15:32
a questionable triple tangent sum
Michael Penn
a questionable triple tangent sum
14:14
an amazing "folded" area problem
Michael Penn
an amazing "folded" area problem
12:03
a surprisingly nice integral
Michael Penn
a surprisingly nice integral
17:33
a nice "perturbed" functional equation
Michael Penn
a nice "perturbed" functional equation
11:35
a short tricky limit
Michael Penn
a short tricky limit
4:47
how things grow
Michael Penn
how things grow
17:04
on the growth of a nice recursive sequence
Michael Penn
on the growth of a nice recursive sequence
13:44
how to take a sum over a set
Michael Penn
how to take a sum over a set
17:38
a super nice functional equation
Michael Penn
a super nice functional equation
18:08
can you solve this Swiss Math Olympiad problem??
Michael Penn
can you solve this Swiss Math Olympiad problem??
11:47
a very golden Fibonacci sum
Michael Penn
a very golden Fibonacci sum
26:38
one of the most important ideas from Complex functions
Michael Penn
one of the most important ideas from Complex functions
14:28
this mix makes integrals very difficult!
Michael Penn
this mix makes integrals very difficult!
18:01
can you pass a real college Differential Equations test??
Michael Penn
can you pass a real college Differential Equations test??
30:20
complex numbers tells us that the factorial is very special
Michael Penn
complex numbers tells us that the factorial is very special
18:36
a nice result from Ramanujan's "lost notebook"
Michael Penn
a nice result from Ramanujan's "lost notebook"
21:23
VE Project 2 copy 2
Michael Penn
VE Project 2 copy 2
21:10
so many moving parts in this integral
Michael Penn
so many moving parts in this integral
14:19
topology can make distance weird...
Michael Penn
topology can make distance weird...
17:41
can you find the trick for this infinite sum??
Michael Penn
can you find the trick for this infinite sum??
10:27
can you find the limit of this recursive sequence??
Michael Penn
can you find the limit of this recursive sequence??
10:27
I solved this two ways -- which do you prefer??
Michael Penn
I solved this two ways -- which do you prefer??
16:04
can you do the hardest problem from the European Mathematical Cup??
Michael Penn
can you do the hardest problem from the European Mathematical Cup??
26:43
from our favorite integral suggester
Michael Penn
from our favorite integral suggester
14:00
a very tricky Diophantine equation
Michael Penn
a very tricky Diophantine equation
23:43
An example of ranked choice voting -- Borda Count
Michael Penn
An example of ranked choice voting -- Borda Count
2:06
can you solve this exponential equation?
Michael Penn
can you solve this exponential equation?
12:45
a ranked choice voting example
Michael Penn
a ranked choice voting example
2:56
3 Tips To Help Get Over a Bad Grade
Michael Penn
3 Tips To Help Get Over a Bad Grade
1:48
infinitely many primes -- the topology way!
Michael Penn
infinitely many primes -- the topology way!
16:16
an election with multiple winners?!?
Michael Penn
an election with multiple winners?!?
3:00
Explaining the Condorcet Voting System  #maths
Michael Penn
Explaining the Condorcet Voting System #maths
2:03
towards the notion of an exact second order differential equation
Michael Penn
towards the notion of an exact second order differential equation
17:18
an election for the best Star Wars character  #maths
Michael Penn
an election for the best Star Wars character #maths
1:23
My Top 3 Tools OnlineTo Study Calculus
Michael Penn
My Top 3 Tools OnlineTo Study Calculus
2:55
I hope you didn't forget your linear algebra for this integral!
Michael Penn
I hope you didn't forget your linear algebra for this integral!
15:53
Understand Rolle's Theorem in less than 3 minutes!
Michael Penn
Understand Rolle's Theorem in less than 3 minutes!
2:49
two nice math problems
Michael Penn
two nice math problems
11:31
an extreme value theorem problem #calculus
Michael Penn
an extreme value theorem problem #calculus
2:57
precisely defining extreme values #calculus
Michael Penn
precisely defining extreme values #calculus
2:26
two ways, one sum
Michael Penn
two ways, one sum
14:03
the top 3 mistakes I see students make in my calculus classes #calculus
Michael Penn
the top 3 mistakes I see students make in my calculus classes #calculus
2:14
a tricky critical points question #calculus
Michael Penn
a tricky critical points question #calculus
2:45
a combination of classic problem types
Michael Penn
a combination of classic problem types
18:12
Follow along in finding the critical points  #calculus
Michael Penn
Follow along in finding the critical points #calculus
2:32