I don't want to demonetize the homie, but I almost took nursing classes to follow all of my favorite eggs. But, you must prepare them wirh an implant to prevent an Itty bitty life ruiner. Eggs can be fun
Besides, if the observerable is an operator, and any measurment is an egienevalue of the observation, I get discrete spectrum and superposition that states all energy are continuous value Maybe we need to take a looksie at these problems
I'm in college for CS, and one of my teachers taught one of my classes almost 70% through LinkedIn Learning, which was from a teacher that was fantastic. If people would just get over the whole "You aren't educated unless you went to college" shtick, then we could actually have affordable education. I don't think a course on LinkedIn Learning would cost me 9 thousand a year, but it's teaching me the same thing. So dumb.
So, {a set} -> {a "folder", a "box"}, or {a folder, a box} -> {a set}. Is that so? :-) is - Ф - a folder, a box, or is - {Ф} - a folder, a box? Which one of them is a "box" or a "folder"? Remember, the author refers to Ф as a box?
Just found your videos...I am halfway through a discrete math semester and my teacher absolutely sucks at explaining this...I am thankful for your videos...I am going to bulldoze through all of your videos in 2 days and get myself up to speed on what the hell is going on in my class
Not necessarily true. You're in focused when you re attended lecture. Your subconscious mind works so hard to understand that lecture and then you watch this lecture video. Everything becomes clearer now..
When this guy explains it, it seems so easy. When the professor from overseas explains it... Well lets just say thats why all my friends gave up computer science as a major.
and can you imagine we are paying tens of thousands of dollars to universities to teach us a degree when people literally teach it better and for free on youtube. insane world we live in
Dude, I'm here to THANK YOU! I'm just horrible at math, I watched all your videos, and I did all the exercises during my vacations, and I passed on discrete math exam, with a shitty grade but I don't care, your videos help me a lot!!
Hello all, just visiting from the other side of this series, just finished it. It is in depth, easy to follow and will prepare you for everything in DM 1 as long as you take the time to really absorb it AND take the midterms he provides. Some of the videos have mistakes, if something seems off, 90% of time there is a correction for it in the comments, just go look for it. Good luck to all of you!
This playlist perfectly follows what we study in school. Watching until subset because thats what we had in our first lecture. Thank you very much Mr.!
As an aspiring data scientist, I have spent nearly 4 hours using two different discrete mathematics courses on Coursera, yet I learned and understood more in this 16 minute video than in my previous 4 hours. Great job! Keep it up!
@@tapendrashahi2097 Did you see all the lectures posted? Are these worth giving a try for a non-cs undergrad to switch to graduation in cs, a beginner and a complete noob in discrete mathematics?
@@ishansrivastava3139 Hey, I am not all the way through the playlist. But I have reached lesson 19 and so far I can tell that even a noob in discrete maths can take this lesson easily. In fact, these videos are made keeping the noobs in mind. I do game development so this is an extremely good knowledge base for me. For a cs grad, I think you will benefit from this.
Coming off of my junior mechanical engineering semester. I was barely able to pass my classes, so this is the start of my journey in going back to the basics to discover where I’ve gone wrong. Wish me luck, and best of luck to all of you going on your own journeys!
I did this stuff back in high school and now out of interest I decided to do search for set theory and its making so much sense. You are really good at explaining things.
This kind of content is what is necessary - accessible, presented in a manner that can be digested by the "layperson". Thanks for the time and effort you put into these series of lectures. Please keep going as this type of teaching is so broadly useful.
Man you are doing something great with your life. May god guide you and give you strength and power to keep doing these amazing videos educating people with less knowledge than you. You don't know how happy and grateful i am for these videos and i'm sure many people feel the same way.
OH MY!! I can't believe what I am seeing. This playlist has Everything... all of it, nearly the whole complimentary, relevant to my career Set of Maths are here in one place and taught by a great teacher. I am floored... ... and ceilinged.
my college professor was "trying" to explain this for 3 hours straight and it was so messy. Thank you so much for an amazing explanation! I really appreciate your videos
Congratulations on class! I am a Mathematics teacher in Brazil, I came to TH-cam to attend math classes in English to improve my English proficiency. Very objective and concise classes. More students should attend their classes. However, I would like to make one observation: the curricular structure of the Discrete Mathematics course is slightly different from here. In addition, excellent class!
The best. Got me through University module; computational modelling like a breeze, I got 90/100 and after I got 100/100 because I was smart enough (thanks to your tutorials) to see that the question I got wrong had no correct answer... it was a multiple choice test lol.
you are a god, I've got my midterm in 5 days and my professor has been anything but helpful in the way of study material so your videos are going to carry me through this.
A useful analogy I've heard for 7:20 is think of sets as boxes. If you have a box with nothing in it, then that box is empty so it is size 0, but if that box was in a larger box, then that larger box would have 1 box inside, even if that box inside is empty.
i have tried many free courses here on youtube and this is the higher quality one in every aspect, good audio, good video quality, good explainations AND exercises.
I love your way of presenting things in different colors, it really helps break up all the information into more recognizable pieces. Thank you for the explanation!
Thank you for all your videos sir! Your videos were really able to help me in my math classes especially in college. You were also one of my inspirations on starting out a TH-cam Channel in hopes that I would be able to help other students go through their math lessons more smoothly. Thanks again, I really appreciate it!
Never have I taken discrete mathematics and I was able to understand everything! As a visual person, you explained this very well-especially with the cardinality at the end. 😊
Teacher: (Explaining) Me: I don't understand AT HOME Me: Let me search today's topic TH-cam SEARCH BAR Introduction to sets Trev Tutor :Introduction to sets Me: let me watch this 2 min later Me;This guy is better than my math teacher it's so easy that I don't have to study for my maths test on this topic!!!
I'm turning grade 7 this year and let me tell you... I bought the textbook but I won't be using it cause I got TH-cam... I'm also quite a lazy reader so even if I read it so many times, it will just pass by...this vid made my understanding better and easier😣😣😌😌😌😳😵😄
I really found the right place to get help from..So, I just want to say thank you because of the well explained concept on discrete mathematics. Thanks a lot TheTrevTutor.
@@Trevtutor "But there's definitely a set that do." That is the nerdiest cutest response I have ever seen in TH-cam! TREV I LOVE YOU! SINCERELY BRO I REALLY DO! =D =D =D
It's just incredible how much better you are at explaining this subject then my teacher. Heck, my teacher literally just decided to skip this intro part. Thank you SO much!
everyone have must to know you channel, you are amazing, I'm a Colombian student and I try to understand because you are better than my university teacher, thanks a lot for this T.T
Your video tutorials saved my (academic) life. My first online college course, I found the resources were altogether lacking. This really helped me this summer semester. Thank you!
Thank you a for these lessons. Watching this makes me more hopeful that I might pass the math course this semester. informative, productive with superb pedagogic acumen. THANKS TrevTutor
I've got a Ph.D in maths (optimization of charged positively ions) This is a great refresh for me. Set Theory us very important in Computer Science for grouped elements, as is Field Theory and Galios Theory.
Thanks god is in english, i'm not a native english guy but many of this videos are presented in a very rare form of pronounciation and it difficults a lot to understand it, so thank you.
Amazing introduction, super excited to learn more about the subject! Your method of explaining both the theory and relating it to every day life is a very useful way of remembering what I've just learned.
damn dude thx for making these videos. its just godly if i can just come home and review the subject by watching your vids instead of having to repeat it all over again. Keep up the good work!
Dear TrevTutor - I have never been a patreon, but I will be one of yours. I just failed my first Discrete Math midterm. I literally found your site the night before. I wish I had found it sooner because this very video would have gotten me 10points. My professor just works problems for 1hr15mns nonstop and doesn't take questions. I wasn't getting it, I was lost, and the textbook is super dry and from the early 2000s with an old website. This video and your format was so helpful. I will dontate as soon as I am on a private computer. I could throw up I'm so happy to find this! Won't have to drop! A's from here on out!
My favorite kind of eggs are hard-boiled eggs.
I don't want to demonetize the homie, but I almost took nursing classes to follow all of my favorite eggs. But, you must prepare them wirh an implant to prevent an Itty bitty life ruiner.
Eggs can be fun
Besides, if the observerable is an operator, and any measurment is an egienevalue of the observation, I get discrete spectrum and superposition that states all energy are continuous value
Maybe we need to take a looksie at these problems
Sir, do you happen to be Canadian?
I like eggs
@@chelseaawang7720 Yep!
i pay 9 grand a year only for this youtube video to explain it so much better than my university professor! Thank you for the vids!
I'm in college for CS, and one of my teachers taught one of my classes almost 70% through LinkedIn Learning, which was from a teacher that was fantastic. If people would just get over the whole "You aren't educated unless you went to college" shtick, then we could actually have affordable education. I don't think a course on LinkedIn Learning would cost me 9 thousand a year, but it's teaching me the same thing. So dumb.
In the realm of computers you can look at it this way:
Empty set within an empty set: {Ø}
- Documents folder
- Empty Folder
* No files *
Mate you just made an already clear explanation even clearer. Nice!
Awesome
So, {a set} -> {a "folder", a "box"}, or
{a folder, a box} -> {a set}. Is that so? :-)
is - Ф - a folder, a box, or is - {Ф} - a folder, a box?
Which one of them is a "box" or a "folder"?
Remember, the author refers to Ф as a box?
Davis Anderson alter bridge
BRILLIANT EXPLANATION
dude see i have only spent 5min watching and you already making university easy for me........
@@jxstsid He could be taking an introductory course not related to his degree for the purpose of fulfilling a maths credit
@@jxstsid sets are a being taught in university as part of discrete structures a course related to computer algorithms and data structures
So true.
bros, im starting a computer science degree soon and trying to prepare, do you think these videos will help? Do they cover all of discrete maths?
@@egg-iu3fe there will help and there cover most part of Discrete math
Just found your videos...I am halfway through a discrete math semester and my teacher absolutely sucks at explaining this...I am thankful for your videos...I am going to bulldoze through all of your videos in 2 days and get myself up to speed on what the hell is going on in my class
Good teachers make a world of a difference.
woah woah woah 4 years later , here i am on the same bus
seems like someone commented my min 4 years ago
In my case, he does a good job explaining it but I'm just stupid. :(
You explain this stuff better than my college professor
sumaia akhand hey
sumaia akhand xbs
that would be why i am here
that's why college is scam
Not necessarily true. You're in focused when you re attended lecture. Your subconscious mind works so hard to understand that lecture and then you watch this lecture video. Everything becomes clearer now..
Please do not delete any old videos! Very important resources that are saved in MANY playlists! Thank you 😊!
@Mike please do
@Mike How to make backup of these? 😀
@@buzzz241 stare at the video then walk backwards from the computer
@@dbuc4671 😂😂
@@buzzz241TH-cam-DL
When this guy explains it, it seems so easy. When the professor from overseas explains it... Well lets just say thats why all my friends gave up computer science as a major.
and can you imagine we are paying tens of thousands of dollars to universities to teach us a degree when people literally teach it better and for free on youtube. insane world we live in
Dude, I'm here to THANK YOU! I'm just horrible at math, I watched all your videos, and I did all the exercises during my vacations, and I passed on discrete math exam, with a shitty grade but I don't care, your videos help me a lot!!
My search is over, soo much knowledge here, how did I not find this genius before now.
Hello all, just visiting from the other side of this series, just finished it. It is in depth, easy to follow and will prepare you for everything in DM 1 as long as you take the time to really absorb it AND take the midterms he provides. Some of the videos have mistakes, if something seems off, 90% of time there is a correction for it in the comments, just go look for it. Good luck to all of you!
Thanks a lot for the insight, and congratulations on making it all the way through the course!
Where to get the midterms he provide?
This playlist perfectly follows what we study in school. Watching until subset because thats what we had in our first lecture. Thank you very much Mr.!
As an aspiring data scientist, I have spent nearly 4 hours using two different discrete mathematics courses on Coursera, yet I learned and understood more in this 16 minute video than in my previous 4 hours. Great job! Keep it up!
oof...wtfff man... same here. I just came out from coursera and came here to learn.
@@tapendrashahi2097 Did you see all the lectures posted? Are these worth giving a try for a non-cs undergrad to switch to graduation in cs, a beginner and a complete noob in discrete mathematics?
@@ishansrivastava3139 Hey, I am not all the way through the playlist. But I have reached lesson 19 and so far I can tell that even a noob in discrete maths can take this lesson easily. In fact, these videos are made keeping the noobs in mind. I do game development so this is an extremely good knowledge base for me. For a cs grad, I think you will benefit from this.
Coming off of my junior mechanical engineering semester. I was barely able to pass my classes, so this is the start of my journey in going back to the basics to discover where I’ve gone wrong. Wish me luck, and best of luck to all of you going on your own journeys!
I did this stuff back in high school and now out of interest I decided to do search for set theory and its making so much sense. You are really good at explaining things.
This is the best discrete math lecture ever you can find on youtube
In your 16 minute video(which I watched at 2x speed), you covered everything my professor did and a lot more in 2 50 minutes lectures
Watching your videos because in 16 minutes you just explained my entire 2 hour lecture from today and made it far more simple to understand
This kind of content is what is necessary - accessible, presented in a manner that can be digested by the "layperson". Thanks for the time and effort you put into these series of lectures. Please keep going as this type of teaching is so broadly useful.
Man you are doing something great with your life. May god guide you and give you strength and power to keep doing these amazing videos educating people with less knowledge than you. You don't know how happy and grateful i am for these videos and i'm sure many people feel the same way.
OH MY!!
I can't believe what I am seeing.
This playlist has Everything... all of it, nearly the whole complimentary, relevant to my career Set of Maths are here in one place and taught by a great teacher.
I am floored...
... and ceilinged.
my college professor was "trying" to explain this for 3 hours straight and it was so messy. Thank you so much for an amazing explanation! I really appreciate your videos
I absolutely love that my brain is actually absorbing all of this. I was mindlessly reading through a textbook, but this is so much better than that.
He uses dark mode board because he knows we will be preparing for exams right one day before it starts at 3 am
Congratulations on class!
I am a Mathematics teacher in Brazil, I came to TH-cam to attend math classes in English to improve my English proficiency.
Very objective and concise classes.
More students should attend their classes.
However, I would like to make one observation: the curricular structure of the Discrete Mathematics course is slightly different from here.
In addition, excellent class!
Fala muito bem amigão! Vc usa um vocabulario melhor que o meu! Kkkk
it's nice to see a teacher trying to improve! Good luck in your classes :)
Hi
Do you offer online lesson ?
The best. Got me through University module; computational modelling like a breeze, I got 90/100 and after I got 100/100 because I was smart enough (thanks to your tutorials) to see that the question I got wrong had no correct answer... it was a multiple choice test lol.
thank you for posting this, teaching myself some math before I actually take the class.
I passed my discrete math classes thanks to you. I am forever grateful.🙏
This feels way more natural and easier to understand than calculus! I'm so amped for discrete math
Update: it was way easier than calculus
I would love to get trev’s autograph as he’s the reason I passed discrete math! ❤️ trev
@trevtutor can I actually get something signed by you? That would be awesome!
you are a god, I've got my midterm in 5 days and my professor has been anything but helpful in the way of study material so your videos are going to carry me through this.
Even if the video is 5 years old, is of high quality content, thank you for sharing your knowledge
Better than my professor! The things he teaches in an hour you teach it in just 10 min in a more understandable way! Thank you. Keep up the good work
You have great handwriting.
IKR
I know XD
Yea lol hehe
Literally a life saver i had no idea what was going on in my class until i got here
A useful analogy I've heard for 7:20 is think of sets as boxes. If you have a box with nothing in it, then that box is empty so it is size 0, but if that box was in a larger box, then that larger box would have 1 box inside, even if that box inside is empty.
i have tried many free courses here on youtube and this is the higher quality one in every aspect, good audio, good video quality, good explainations AND exercises.
I love your way of presenting things in different colors, it really helps break up all the information into more recognizable pieces. Thank you for the explanation!
Great stuff. Keep helping people 3 years later and many more to come. This is the content we need in youtube. Thanks!
Thank you for all your videos sir! Your videos were really able to help me in my math classes especially in college. You were also one of my inspirations on starting out a TH-cam Channel in hopes that I would be able to help other students go through their math lessons more smoothly. Thanks again, I really appreciate it!
This man's explanations are pretty pog
when your college professor uses this guy to teach for him instead of actually teaching it himself
college in which country?
@@humphreyappleby2847 Netherlands
I wish
Lol
Your teaching method is fabulous. You made maths very easy .
I love your approach of clearly defining what is terminology for what
Oh my god 🙏 I understand everything in this video not like what have my doctor teach me in the last lecture.. thank you very much from my Heart 💓
Thank you so much. A math tutorial just cant get better than this.
Never have I taken discrete mathematics and I was able to understand everything! As a visual person, you explained this very well-especially with the cardinality at the end. 😊
My professor introduced set theory today but all of us got confused, just few seconds here i ve got the concept,thx for simplifying my work
Teacher: (Explaining)
Me: I don't understand
AT HOME
Me: Let me search today's topic
TH-cam SEARCH BAR
Introduction to sets
Trev Tutor :Introduction to sets
Me: let me watch this
2 min later
Me;This guy is better than my math teacher it's so easy that I don't have to study for my maths test on this topic!!!
Literally thank you a thousand times man, passed my DM exam fully thanks to you in 3 days.
I'm turning grade 7 this year and let me tell you... I bought the textbook but I won't be using it cause I got TH-cam... I'm also quite a lazy reader so even if I read it so many times, it will just pass by...this vid made my understanding better and easier😣😣😌😌😌😳😵😄
I really found the right place to get help from..So, I just want to say thank you because of the well explained concept on discrete mathematics. Thanks a lot TheTrevTutor.
I learnt cardinality as a new thing and I recommend this channel to my classmates thanks so much
Have an exam in a couple of hours. Your videos helped quite a lot!
Trev's videos are a great asset to the TH-cam math community. Always great to see people helping students out with some difficult concepts.
somebody needs to shoutout this guys handwriting
its actually god tier
I have probably never commented on a teaching video but this is amazing. Thank you so much!!
Not all heros wear capes
But there's definitely a set that do.
hahaha that's really funny
@@Trevtutor "But there's definitely a set that do." That is the nerdiest cutest response I have ever seen in TH-cam! TREV I LOVE YOU! SINCERELY BRO I REALLY DO! =D =D =D
He’s just a hero that does mathematics.
@@Trevtutor Lol, best reply!
You are the best math teacher I have ever known besides I am in 8
It's just incredible how much better you are at explaining this subject then my teacher. Heck, my teacher literally just decided to skip this intro part. Thank you SO much!
You sir are a life saver! I wish you were my teacher, love the way you explain and you have a neat handwriting! Thank you for making these videos! 😊
Wow....Another great tutor like "The Organic Chemistry Tutor"....
Great...Love the Video
Nah, The Organic Chemistry Tutor is not nearly as good as Trev; he never proves formulas and blindly applies them.
thank you so much for this i learn a lot here specially that we are currently in a modular online/modular class!
everyone have must to know you channel, you are amazing, I'm a Colombian student and I try to understand because you are better than my university teacher, thanks a lot for this T.T
Wow this is such a way better explanation. I was so confused during lecture glad I found someone to help me better understand the material.
Aced my Discrete Mathematics exam thanks to your videos, the first perfect 10 I got in my journey through university. Thank you so much!
Thank you for doing these tutor videos, this coming fall semester I'm taking discrete and this series is going to help a lot!
Your video tutorials saved my (academic) life. My first online college course, I found the resources were altogether lacking. This really helped me this summer semester. Thank you!
I'm not even taking college or any school for that matter lol I'm just starting to fall in love with math recently
The only reason I am feel optimist of passing Discrete Maths Exam are your videos. Explained much more easier than at University.
You make my college life a lot easier
Thank you a for these lessons. Watching this makes me more hopeful that I might pass the math course this semester. informative, productive with superb pedagogic acumen. THANKS TrevTutor
Thank you. You absolutely saved my grade.
I've got a Ph.D in maths (optimization of charged positively ions)
This is a great refresh for me. Set Theory us very important in Computer Science for grouped elements, as is Field Theory and Galios Theory.
Thanks god is in english, i'm not a native english guy but many of this videos are presented in a very rare form of pronounciation and it difficults a lot to understand it, so thank you.
Amazing introduction, super excited to learn more about the subject! Your method of explaining both the theory and relating it to every day life is a very useful way of remembering what I've just learned.
this explanation is perfect than what my lecture did it
I used to get confused when I had to express sets but as of today you made things clear my man
I’m studying this at 15 for epistemology and metaphysics. (I’m too in love with philosophy.)
Your teaching is a very friendly..👌🏻👌🏻
Thank you Trev, I'm in a bad spot right now, and man i really appreciate your videos man. Bless you
I was taught that N natural numbers is from 1 upwards and if you include zero then it's called whole numbers with the symbol N_0 (N subscript 0)
Amazing. Learned so much in a short amount of time. Wonderful.
Here before actually starting my course in a week 🙃
Same lol
TYSM THIS IS MORE HELPFUL THEN MY MATH TEACHER'S EXPLANATION!!
Nice taking discrete math this semester these videos are going to be useful
This video made more sense than my Teacher, my mum and my dad .
Ur doing the lord's work for various CS students
Swear to God a couple of minutes watching this was way better than sitting for 2 hours in class studying this.
damn dude thx for making these videos. its just godly if i can just come home and review the subject by watching your vids instead of having to repeat it all over again. Keep up the good work!
but can we please take a minute to appreciate this guy's absolutely beautiful handwriting???
I love you trev, you have a gift!!!!
Hope you make some more math playlists you are an excellent teacher.
Your videos make me love Maths a lot more!
All I can say is that you are such an excellent teacher..
This is literally the best tutorial for set theory, thank you so much.
Dear TrevTutor - I have never been a patreon, but I will be one of yours. I just failed my first Discrete Math midterm. I literally found your site the night before. I wish I had found it sooner because this very video would have gotten me 10points. My professor just works problems for 1hr15mns nonstop and doesn't take questions. I wasn't getting it, I was lost, and the textbook is super dry and from the early 2000s with an old website. This video and your format was so helpful. I will dontate as soon as I am on a private computer. I could throw up I'm so happy to find this! Won't have to drop! A's from here on out!
How'd you do in the class?
This is explained far better than by my professor at Yale lmao
awesome video. They don't really teach you about this stuff in high school. Thank you so much
1000 times better than my professor