First semester in university was so hard because not knowing how proofs work, than I got used to it and despite same or heavier proofs in this semester I do better. Definitely a skill that should be taught in high school.
I'm very excited for this one. I really want to learn more about logic cause I'm trying to teach myself some more coding on my own, now that I'm done school. Logic comes up a ton.
Great video Patrick! When is the next part coming out? Thanks for all your hard work. Learning how to prove things is really fundamental. Could you discuss where to start in a general proof?
I dont remember much from dif eq but cant you do: dp/dt = (-1/a)p => 1/p dp = (-1/a) dt then integrate both sides to get ln|p| + C1 = (-t/a) + C2 then shuffle it around to get p = e^(-t/a)*e^C1/e^C2 you can replace the constants with one big constant: p = C*e^(-t/a) I'll leave the checking the answer to you.
I learned and used all of these by sophomore year of high school. This is nice but very low fundamentals on the scale. I have BA & Masters in mathematics.
Hey +patrickJMT just want to thank you from the bottom of my heart. Finally i passed my Maths exam with the fullest marks only thank to you you helped a lot of guys out there. Though your guidance after 3 years i passed my math exam that seemed to be impossible. Now i've more confidence in maths, i always loved math it's something that excites. In sign of respect now i'm going to unsubscribe your channel and try not to unlearn what i learnt. I hope that i can do something for you please let me know. Thank u thank u thank a lot.. cheers!!!
PatrickJMT I don't get the "If...then" explanation. Not saying you are teaching us wrong, just saying "I" don't get it. We are looking at "statements" here, not "commands" for some computer program. We have two statements "p" and "q" that each may be either true or false. In that context (and maybe I am missing something) the statement "If p then q" could never be "false," it would only be a "statement" of fact, and the fact would not change no matter what the case/status of "p" and "q." For example; consider the statement "If p (is false) then q (is true)" versus the statement "If p (is true) then q (is true)" and versus the statement "if p (is false) then q (is false)" and versus the statement "if p (is true) then q (is false)." Each of these statements is just a statement, and if correctly relating the "fact" of the situation, then the statement "If... then" is "true." It appears we must QUALIFY the "if...then" statement from the start by saying, for example, "if p IS TRUE then q IS TRUE," and where any fact of the situation in contradiction of BOTH p and q being true would be a "false" statement, and, indeed, only where BOTH p and q are "true" is the statement "if p IS TRUE then q IS TRUE" a true statement. That, above, is what understand, but not exactly what I got out of the video, and, in fact, it is my own thinking on the subject, because I don't get your explanation of "If... then." Not saying it is wrong, because I don't know what you are saying. What I am saying is; is what I am saying "correct?" OR, do I have the entirely wrong idea?
First semester in university was so hard because not knowing how proofs work, than I got used to it and despite same or heavier proofs in this semester I do better. Definitely a skill that should be taught in high school.
agreed i need to learn it now and its assumed :S
Really looking forward to this series. It's so important
Hey!!
Now I feel some extra pressure to do a good job! :)
You sir, are a godsend, you have no clue how much I needed this
Literally just started Intro to Abstract Math; what timing! Thanks for the upload!
Heyyyy, I'm taking a mathematical proofs class this semester lol
Math 135 midterm review. You sir are an angle! You will be mentioned in my grad speech. Thank you very much for all the videos.
UofT?
I'm very excited for this one. I really want to learn more about logic cause I'm trying to teach myself some more coding on my own, now that I'm done school. Logic comes up a ton.
You are the Patrick I need
Great video Patrick! When is the next part coming out? Thanks for all your hard work. Learning how to prove things is really fundamental. Could you discuss where to start in a general proof?
WOW! I learned a lot in 14 min! 😊Thanx!
The hardest thing I've found about mathematical papers is not to understand them, but to read the notation.
Thanks for this video.
Really useful video. i was always curious about how they came up with these techniques Thank you !
i've been waiting for so many years
Finally somebody explained proof by induction
Nice man. I just started Foundations of Mathematics this semester. Thank you for all of your videos Patrick!
Wow, we literally just went over this today during Discrete Structures. Thanks for the vid, it cleared up a lot of things.
Yaaas, I'm in linear algebra RIGHT NOW THANK YOU.
This is great, thank you so much!
dude thanks so much im taking introduction to proofs next semester!! more of these
Best explained
This helps me for my exam tomorrow in logic. :)) Thankies ;)
good luck!
Could anyone help me out with a linear homogenous differential please?
p’=-(1/a)p
Where ‘a’ is a constant
Thanks
I dont remember much from dif eq but cant you do:
dp/dt = (-1/a)p
=> 1/p dp = (-1/a) dt
then integrate both sides to get
ln|p| + C1 = (-t/a) + C2
then shuffle it around to get
p = e^(-t/a)*e^C1/e^C2
you can replace the constants with one big constant:
p = C*e^(-t/a)
I'll leave the checking the answer to you.
Oh my God this is the stuff in my formal logic class rn
SPOOKY im taking this class next semester it's almost like you read my mind
I learned and used all of these by sophomore year of high school. This is nice but very low fundamentals on the scale. I have BA & Masters in mathematics.
Real Analysis brought me here lmao
is SN lonney is a good book for trigo
For your next video can you let the Austin hypothesis be the statement that Austin is the best city in the world and prove this is unsolvable in ZFC?
You're a life saver! Thank you so much! >_
I just got into Math 55 and I honestly didn't know rigorous proofs.
this would have been nice last semester
yep! but you had to make due with one of the other 1900+ videos ;)
Thank you!
Hey +patrickJMT just want to thank you from the bottom of my heart. Finally i passed my Maths exam with the fullest marks only thank to you you helped a lot of guys out there. Though your guidance after 3 years i passed my math exam that seemed to be impossible. Now i've more confidence in maths, i always loved math it's something that excites. In sign of respect now i'm going to unsubscribe your channel and try not to unlearn what i learnt. I hope that i can do something for you please let me know. Thank u thank u thank a lot.. cheers!!!
Ummm... As a sign of respect you are going to unsubscribe??
....???? How does that make sense?
@@harishd37 i see why he doing bad on his exam
PatrickJMT
I don't get the "If...then" explanation. Not saying you are teaching us wrong, just saying "I" don't get it. We are looking at "statements" here, not "commands" for some computer program. We have two statements "p" and "q" that each may be either true or false. In that context (and maybe I am missing something) the statement "If p then q" could never be "false," it would only be a "statement" of fact, and the fact would not change no matter what the case/status of "p" and "q." For example; consider the statement "If p (is false) then q (is true)" versus the statement "If p (is true) then q (is true)" and versus the statement "if p (is false) then q (is false)" and versus the statement "if p (is true) then q (is false)." Each of these statements is just a statement, and if correctly relating the "fact" of the situation, then the statement "If... then" is "true." It appears we must QUALIFY the "if...then" statement from the start by saying, for example, "if p IS TRUE then q IS TRUE," and where any fact of the situation in contradiction of BOTH p and q being true would be a "false" statement, and, indeed, only where BOTH p and q are "true" is the statement "if p IS TRUE then q IS TRUE" a true statement.
That, above, is what understand, but not exactly what I got out of the video, and, in fact, it is my own thinking on the subject, because I don't get your explanation of "If... then." Not saying it is wrong, because I don't know what you are saying. What I am saying is; is what I am saying "correct?" OR, do I have the entirely wrong idea?
So it's basically Logic gates in physics and IT, or at least to some extent(I'm still learning mathematical proofs so I'm not completely sure)
You da man!
Heh, ¬p looks like p is holding a gun
9:15 I am from Germany 🇩🇪
I had no idea what you were talking about xdd
Wow :) Thanks
You God? How you know what i take
everyone here is talking about high school and college why do I have to do this im in 7th grade and i dont understand
At least u will have the info for when u need it?