Not only that, but he keeps the lecture based! He doesn't talk about stuff the students do not have a clue about. It means he genuinely wants to teach, not just show off his brilliance as some teachers do.
I'm amazed how in the comments we see students from "prestigious" universities claiming these lectures helped them more than their professors... People pay thousands and get in life long debt for a fake and forced education whereas professors like the one from this series of videos are barely recognized. Congratulations Math Sorcerer, your honesty in teaching is what makes you so genuine and successful at what you do! Gabriel
Wow, you're the best math professor I've ever seen! Your enthusiasm, depth of understanding and engagement with the class is fantastic! It must not feel intimidating at all for students to ask you questions because you're such a genuine dude! Please don't ever change!!
Oof, I'm sorry. What a garbage professor. This is a good series, but they should still do the work you're paying so much for. I'm glad there are people like this putting their work online and speaking in more easily understood terms than the text.
@@VndNvwYvvSvv I mean I'd personally rather pay to take a test based on these lectures or professor leonard's, seems like 80% of professors at universities are terrible at keeping students engaged. IMO if I can basically completely replace your lecture with reading the textbook, why should I bother to show up to lecture?
Wow. I almost didn't recognize you because of the hair. I took an algebra class with you many years ago and now I find myself back here finishing my last differential equations course before completing my CS degree. Still to this day the best professor I've had.
I'm an Engineering major and my professor(really a TA) this semester for Diff Eq. is useless with online school. I've been using your videos to help me. Thank you so much
You're a great lecturer, very engaging and animated. Having recently done some public speaking for the first time in my life I've realized how difficult it really is. You're not just going through material, you're constantly taking the temperature of the group for signs of being lost, trying to learn and remember names, etc. and that's if you can get past the performance anxiety of talking to a group of strangers. Teaching really is a high CPU use activity. I should reach out to some of my professors who made attending lectures enjoyable.
Been following since Calc and now I am in DE. You and professor leonard have helped me so much for my engineering major. Literally feel like I took the class with multiple professors everytime. You have no idea how thankful I am :)
For every instance when social media is criticized for being the digital crack that it has evolved to be, I will think of this professor and those like him and their content and be grateful that I live in the digital age. Knowledge in this format will basically be preserved in perpetuity and benefit mankind accordingly. Let that sink in for a bit.
I had full math course at my college and I can tell you there was not a single teacher that had 10% of your energy nor enthusiasm. You are the type of teacher that lights up the classroom and for whom students love going back to classes no matter the subject.
I love this professor he seem very happy when explaining he really love his job not like others ,wish he teach me ,and thank youuu i really understood it .
Amazing sir, I have been struggling with taking online classes and my DE grade was terrible. I'm normally a high grade student but online format has made me suffer. Thanks to your lectures on DE, my grade is rising and I'll be able to do good in the course. I appreciate it a lot!!!!
OMG!!! incredibly, explicitly comprehensible record ⏺ highly appreciate it... I am currently taking Math 202 and my instructor is Okay.... but I believe this instructor is much more better than any math one had taught me. I am certain that I am going to continue the course with these high quality records. God bless you !
I just want to express my gratitude towards this lecture. You deserve the best for it! I paused the video just to post this comment when you said "I can't solve this. People solve this for a living". This is the context that I have been asking throughout all of my education. Just put the difficulty in context! This is so important. It saved me years of questions and ponder. Thank you!
He gives me the summary and I like that 😿💕, I don’t know why other teachers doesn’t do that too ... like this is how you should do it don’t repeat what in the book , That shows you don’t even know what is 🔥
Hi, I was in the process of self studying "Introduction to Linear Algebra" by Strang and I've been stuck at section 6.3, "Differential Equations" for about a week now. Maybe it's a prerequisite issue, maybe I'm dumb but every line feels like a gigantic logical leap and I was ready to give up on math altogether. That's when I found your lecture videos. Your clear explanations and dedication to ensuring class comprehension has been incredibly helpful. Your energetic and dynamic teaching style keeps me awake despite my focus issues. You sir, saved my math career.😤
Thank you for teaching me what I couldn't learn from my actual professors, you are so passionate about math, you remind me why I became a math major!! I wish I could take your class!!
I was thinking of taking some time off from mathing for a wee while, but the UA-cam algorithm served me this, and within a minute I was hooked. This is a blast. Love it! ❤️
I want to sincerely thank you for your video lectures and studying tips. I've fallen behind my studies severely due to multiple reasons, the pandemic being the catalyst for making things so much worse. I still try to cope with my failures and defeated mindset. I've been having a hard time as I am unable to attend classes at my university and I am going there only to take exams.Thank you so much for your help. You are giving me guidance with the material, hope and motivation for trying again.
Wow! I watch a lot of your videos when I get time MathSorcerer (esp the book reviews - love those!), but this is the first lecture one I've seen. I would've never guessed you had such a hyped and energetic classroom manner. Very refreshing.
im taking math 1b at uc berkeley and this has really helped me!! i found that after watching your videos, i was really able to test my knowledge and get a+'s on my tests :) thanks!!
I have been struggling in D.E. lectures of my university since the last few weeks, but just one hour of your video(lecture) made things clear and approachable for me. Much love & support from Northeast India ❤️
Hi. I'm from the Philippines. I'd just like to say thank you for your lectures. They are very helpful. Listening to your lectures is also relaxing because you seem really kind teacher. Yours is my favorite mathrelated channel.
I am taking this class and you are bounds better a teacher than my professor. Thank you so much for this! I will be watching this in the next coming week to be super prepared later on in the semester and get an A.
You may think that no one watches these onsite lecutre videos you've made, professor - you cannot be any more wrong. I absolutely love these videos you've made; they make me feel like I'm one of your students in the class (especially with the cam that follows you around😂) Thank you.
Profesor usted es un rifado, gracias por los videos en verdad son de mucha ayuda para todos los que queremos entender al 100 el curso, saludos desde México
Hello again Math Sorcerer, always great to get your excited perspective that I don't ever get in the classroom. I was especially struggling with the difference between linear and nonlinear D.E.'s so your explanation really helped! I've been sharing your channel with everyone I can that is interested in math because your enthusiasm really rubs off, even if it has been 3 years since the lecture. Keep up the good work:) 🐴
Wow just figured out you have lecture playlists. Just started D/E this week...think I'll follow along with these for an alternate viewpoint as I go. Enjoyed the first one!
it's been nearly 15 years since I learned this stuff in my postgrad economics course, and I thought I'd already forgotten it all. I am amazed I still remember :) ODEs, PDEs it's all coming back :)
I spent lot of time during 2002 by reading books , very difficult in India, few clever students could only understand. Now everyone can attend classes from best teachers. Thanks to the evolution of Technology
In my diff eq class we are now solving D.E’s that are separable, linear, or exact. I realized i needed to come back to this part of Diff eq to be able to identify wth they are before i can use a technique to solve them haha thank you so much.
It’s a very smart class. When I took DiffEq in my undergrad, half of my classmates were wearing helmets and the other half were chewing their crayons during the lecture.
This makes me miss college a lot. I graduated over a year ago with an EE degree. I got a pretty good job but I feel like doing graduate studies in applied math. Probably would have to take some remedial courses though (Advanced calc, etc). Wish more universities offered night classes for workers :/
you are such a fun teacher! I see a few empty seats near your desk, plz don't mind if I occupy one of those in one of your lectures😅. I wish my teachers taught me like this. All they did was provide a mathematical definition (which I barely understood and they didn't bother explaining in a simpler way), a few formulas and some practice exercises. No further explanation about how it relates to the past chapters or how are they used in real life etc etc. Recently I started studying maths out of personal interest and sort of a hobby and the first youtube channel I visited was yours. Took your advice and suggestions, revisited the precalculus topics and now I'll be starting with calculus next week. Thanks for the motivation!
After watching professor Leonard up to calc 3, your going to teach me the higher math! Thanks. Love your vids Edit: Dang, I thought you had a lecture playlist of Real Analysis :(
41:20 is the laziest attempt I've ever seen at erasing a board haha. Love your other videos talking about math. I just started a 5 week crash course in DE, so I'll be following this whole series. I appreciate your efforts, Mr. Sorcerer.
3:46 I would not recommend the use of 'del', because it's ambiguous, see Wikipedia: The symbol is variously referred to as "partial", "curly d", "funky d", "rounded d", "curved d", "dabba", "number 6 mirrored", or "Jacobi's delta", or as "del" (but this name is also used for the "nabla" symbol ∇). It may also be pronounced simply "dee", "partial dee", "doh", or "die". I 'd stick to 'partial' for ∂, and 'nabla' for ∇.
I've been taught that dy/dx is an operator and not a ratio; then, how in Ex-(d) of linear vs non-linear we're dividing equation by dx? Am I missing something here?
You are a good teacher and appear to be passionate about mathematics. If you do not already you should teach one probability course without calculus and one probability course with calculus with the same format you are using in this video. Do you make your lecture notes, practice problem sets, and past exams avalible to the general public for free? My goal with learning about differential equations is just learning how to model things with them. I do not necessarily need to learn how to solve them for my purposes. Thank you so much for these very good videos and for the high quality content you put on your channel.
Hi all. I have a question regarding the longest interval of definition. I do understand what it is, I just have a doubt in case of this particular function of y=1/(x^2+c). For the I.C of y(0)=-1 we have selected (-1,1) as the longest interval, however when we plot this function, the 3 parts of the plot are not 3 different functions or 3 different plots, these are all one plot of one particular function y=1/(x^2-1), function that passes through (0,-1) but also all the points from (1,inf) , so shouldn't we choose the right part of the plot as the longest interval? (or the left one of course)?
No you choose the part that passes through the point, that's a requirement in the problem, it has to pass through that point, so the largest interval such that the function passes through that point is (-1, 1).
I was surprised at the information mentioned (start at 3:39.) I always thought the students must finish Calculus 1, 2, and 3 before taking differential-equations class.
The difference b/w you and other professors is that you can keep students awake and interested for a full one hour. Enjoyed your enthusiasm.
Thx👍
Not only that, but he keeps the lecture based! He doesn't talk about stuff the students do not have a clue about. It means he genuinely wants to teach, not just show off his brilliance as some teachers do.
But the camera can’t keep up.
@@aliAlyacoubYep, as a math major myself I know exactly what you're talking about. I don't know what the teachers accomplish by doing that exactly.
I'm amazed how in the comments we see students from "prestigious" universities claiming these lectures helped them more than their professors... People pay thousands and get in life long debt for a fake and forced education whereas professors like the one from this series of videos are barely recognized. Congratulations Math Sorcerer, your honesty in teaching is what makes you so genuine and successful at what you do!
Gabriel
Thx man
I'm glad there are people like this putting their work online and speaking in more easily understood terms than the text.
Wow, you're the best math professor I've ever seen! Your enthusiasm, depth of understanding and engagement with the class is fantastic!
It must not feel intimidating at all for students to ask you questions because you're such a genuine dude! Please don't ever change!!
my professor posts your videos, so he doesn't have to teach :^) congrats on your new job at my university!
Oof, I'm sorry. What a garbage professor. This is a good series, but they should still do the work you're paying so much for. I'm glad there are people like this putting their work online and speaking in more easily understood terms than the text.
@@VndNvwYvvSvv He prob use in-class time to do research anyway.
It's better than not so intuitive lectures. And now your professor can help you out whenever you need.
@@VndNvwYvvSvv I mean I'd personally rather pay to take a test based on these lectures or professor leonard's, seems like 80% of professors at universities are terrible at keeping students engaged.
IMO if I can basically completely replace your lecture with reading the textbook, why should I bother to show up to lecture?
@@fdsmanMost students are also terrible these days who got all As in high school and think college is the same.
Wow. I almost didn't recognize you because of the hair. I took an algebra class with you many years ago and now I find myself back here finishing my last differential equations course before completing my CS degree. Still to this day the best professor I've had.
Wow Diego!!!!!!!!!!!!!! Long time!!!!!!
cool !
What school?
What is The Math Sorcerer's real name?
@@carultch his real name is Mr. The Math Sorcerer
I'm an Engineering major and my professor(really a TA) this semester for Diff Eq. is useless with online school. I've been using your videos to help me. Thank you so much
You are welcome😃
You're a great lecturer, very engaging and animated. Having recently done some public speaking for the first time in my life I've realized how difficult it really is. You're not just going through material, you're constantly taking the temperature of the group for signs of being lost, trying to learn and remember names, etc. and that's if you can get past the performance anxiety of talking to a group of strangers. Teaching really is a high CPU use activity. I should reach out to some of my professors who made attending lectures enjoyable.
you are an electric teacher, and funny too😂
Been following since Calc and now I am in DE. You and professor leonard have helped me so much for my engineering major. Literally feel like I took the class with multiple professors everytime. You have no idea how thankful I am :)
46:25 f(x,y) = some stuff with x und y is probably the best and simplest explanation that i ever heard of.
For every instance when social media is criticized for being the digital crack that it has evolved to be, I will think of this professor and those like him and their content and be grateful that I live in the digital age. Knowledge in this format will basically be preserved in perpetuity and benefit mankind accordingly. Let that sink in for a bit.
So long as youtube maintains this free, yet incredibly expensive library. Download important videos while you still can.
I had full math course at my college and I can tell you there was not a single teacher that had 10% of your energy nor enthusiasm. You are the type of teacher that lights up the classroom and for whom students love going back to classes no matter the subject.
Not a dull moment. I have not studied this in decades. I am getting the hang of it again. Thanks.
Excellent!
I learned EVERYTHING in 1 hour. And learned nothing for the past 10 hrs in a week of lecture😂😅. Thx daniel👍
Lol
literally bro
I love this professor he seem very happy when explaining he really love his job not like others ,wish he teach me ,and thank youuu i really understood it .
👍
Amazing sir, I have been struggling with taking online classes and my DE grade was terrible. I'm normally a high grade student but online format has made me suffer. Thanks to your lectures on DE, my grade is rising and I'll be able to do good in the course. I appreciate it a lot!!!!
excellent!
Your love of math really give others the enthusiasm to study.
Thank you for being a great teacher.
OMG!!! incredibly, explicitly comprehensible record ⏺ highly appreciate it... I am currently taking Math 202 and my instructor is Okay.... but I believe this instructor is much more better than any math one had taught me. I am certain that I am going to continue the course with these high quality records. God bless you !
The pandemic has taken me out of the classroom, but this professor made me miss being in one. Really top notch explanations, thanks prof!
I just want to express my gratitude towards this lecture. You deserve the best for it! I paused the video just to post this comment when you said "I can't solve this. People solve this for a living". This is the context that I have been asking throughout all of my education. Just put the difficulty in context! This is so important. It saved me years of questions and ponder. Thank you!
0 dislikes. Way to go who can dislike this professor? No one.
❤️
He gives me the summary and I like that 😿💕, I don’t know why other teachers doesn’t do that too ... like this is how you should do it don’t repeat what in the book , That shows you don’t even know what is 🔥
Hi, I was in the process of self studying "Introduction to Linear Algebra" by Strang and I've been stuck at section 6.3, "Differential Equations" for about a week now.
Maybe it's a prerequisite issue, maybe I'm dumb but every line feels like a gigantic logical leap and I was ready to give up on math altogether.
That's when I found your lecture videos.
Your clear explanations and dedication to ensuring class comprehension has been incredibly helpful.
Your energetic and dynamic teaching style keeps me awake despite my focus issues.
You sir, saved my math career.😤
Strang is overrated. He doesn't teach too well.
carajo mi amigo nunca habia visto un profe tan bueno con tanta pinche energia, eres un crack hechicero de la matematica
I was having a hard time with DEs, but after this very class, it all seemed much more clear
A M A Z I N G
Excellent!!!
Thank you for teaching me what I couldn't learn from my actual professors, you are so passionate about math, you remind me why I became a math major!! I wish I could take your class!!
Love how enthusiastic you are! Great teacher
I failed calculus on my first year, then found this channel, somehow ive suvived calc 1 and 2.. and now im here,thankyou sir, youre a hero!
The math teacher I've always wanted...
And now I have!
❤️
I was thinking of taking some time off from mathing for a wee while, but the UA-cam algorithm served me this, and within a minute I was hooked. This is a blast. Love it! ❤️
I want to sincerely thank you for your video lectures and studying tips. I've fallen behind my studies severely due to multiple reasons, the pandemic being the catalyst for making things so much worse. I still try to cope with my failures and defeated mindset. I've been having a hard time as I am unable to attend classes at my university and I am going there only to take exams.Thank you so much for your help. You are giving me guidance with the material, hope and motivation for trying again.
love it so much when the professor loves his job and it shows very well
taking de next year, so this helps a lot in advanced reviewing
@@rohanpagapulaan5676what's your age?
Your enthusiasm is contagious! Great class! Awesom problem driven energy. I cant wait watching more of your classes.
Wow! I watch a lot of your videos when I get time MathSorcerer (esp the book reviews - love those!), but this is the first lecture one I've seen. I would've never guessed you had such a hyped and energetic classroom manner. Very refreshing.
im taking math 1b at uc berkeley and this has really helped me!! i found that after watching your videos, i was really able to test my knowledge and get a+'s on my tests :) thanks!!
I have been struggling in D.E. lectures of my university since the last few weeks, but just one hour of your video(lecture) made things clear and approachable for me. Much love & support from Northeast India ❤️
❤️
the camera quality is INCREDIBLE. i love how clear the video is and ur explanations actually make sense!
Hi.
I'm from the Philippines.
I'd just like to say thank you for your lectures. They are very helpful. Listening to your lectures is also relaxing because you seem really kind teacher.
Yours is my favorite mathrelated channel.
thank you so much!!
I just completed my bachelors last year in computer science. You make me want to go back to major in math! Awesome teaching!
I am taking this class and you are bounds better a teacher than my professor. Thank you so much for this! I will be watching this in the next coming week to be super prepared later on in the semester and get an A.
Awesome!
stumbled across this gem and im glad i did. massive respect for the way of teaching, made it all look so easy.
You may think that no one watches these onsite lecutre videos you've made, professor - you cannot be any more wrong. I absolutely love these videos you've made; they make me feel like I'm one of your students in the class (especially with the cam that follows you around😂)
Thank you.
A weeks worth of lectures did not get me as far as this hour video. Awesome work!
I haven't started any calculus course but I understood the lecture,you are incredible Sir
Excellent
Profesor usted es un rifado, gracias por los videos en verdad son de mucha ayuda para todos los que queremos entender al 100 el curso, saludos desde México
Saludos! Me alegro que Este video te ayudo👍
Hello again Math Sorcerer, always great to get your excited perspective that I don't ever get in the classroom. I was especially struggling with the difference between linear and nonlinear D.E.'s so your explanation really helped! I've been sharing your channel with everyone I can that is interested in math because your enthusiasm really rubs off, even if it has been 3 years since the lecture. Keep up the good work:) 🐴
thank you!
@@TheMathSorcerer Also kinda nostalgic that my class is in the exact same room where this was filmed
Wow just figured out you have lecture playlists. Just started D/E this week...think I'll follow along with these for an alternate viewpoint as I go. Enjoyed the first one!
I love his teaching style🥺
it's been nearly 15 years since I learned this stuff in my postgrad economics course, and I thought I'd already forgotten it all. I am amazed I still remember :) ODEs, PDEs it's all coming back :)
Without the pressure of seeing Differential Equations for the first time (1982) along with my Physics Courses, watching this it great fun!
Wow 1982!! So cool!! Ya it's always way more fun when there is no pressure😁
This is fun. I only took DE about 50 years ago, so I needed a bit of a refresher.
Wish you were my prof. I've already gone through diff eq, but I came to watch just cause you're so entertaining!
Thanks! 😃
I spent lot of time during 2002 by reading books , very difficult in India, few clever students could only understand. Now everyone can attend classes from best teachers. Thanks to the evolution of Technology
27:11 I think it's called family instead of set because a set can't have repeated elements while a family can
In my diff eq class we are now solving D.E’s that are separable, linear, or exact. I realized i needed to come back to this part of Diff eq to be able to identify wth they are before i can use a technique to solve them haha thank you so much.
I love your energy and your humor!!! Is the homework available somewhere? I want to take your course for fun and the challenge!
Thank you!! It is not sorry.
It’s a very smart class. When I took DiffEq in my undergrad, half of my classmates were wearing helmets and the other half were chewing their crayons during the lecture.
Great and Every Intresting class to learn D.E .I like the way of Teaching. Thank you very much sir
Thanks and welcome:)
I wish I could take your classes. You are so dedicated and enthusiastic. Thanks for posting.
Aww thank you. You are welcome😃
59:29 How we consider the function of graph without the sketching the graph with derivatiion method,
This makes me miss college a lot. I graduated over a year ago with an EE degree. I got a pretty good job but I feel like doing graduate studies in applied math. Probably would have to take some remedial courses though (Advanced calc, etc). Wish more universities offered night classes for workers :/
Why on Earth didn't I find these Lectures before? You are so great, thanks!
you are such a fun teacher! I see a few empty seats near your desk, plz don't mind if I occupy one of those in one of your lectures😅. I wish my teachers taught me like this. All they did was provide a mathematical definition (which I barely understood and they didn't bother explaining in a simpler way), a few formulas and some practice exercises. No further explanation about how it relates to the past chapters or how are they used in real life etc etc. Recently I started studying maths out of personal interest and sort of a hobby and the first youtube channel I visited was yours. Took your advice and suggestions, revisited the precalculus topics and now I'll be starting with calculus next week.
Thanks for the motivation!
You have become my favorite UA-cam math person!
It has been an stand-up comedy not just a math lecture .
Thank you for your work it was very helpful for me.
Lol!!
Encouraging professor to average students!!!!!!
Wow!! I love mathematics and you sir have just made me fall in love with it all over again
Thank you so much for your videos! You make learning Diff EQ so fun!! I've been binge watching your videos all day so far!
Awesome !!
probably the best math teacher on UA-cam.
Wow you really are an Amazing teacher
After watching professor Leonard up to calc 3, your going to teach me the higher math! Thanks. Love your vids
Edit: Dang, I thought you had a lecture playlist of Real Analysis :(
Your energy is awesome, math is supposed to be fun
I think everyone passes through here should do like and subscribe.. thank you doctor/professor!! I don't know
Absolute baller professor. Wish I had this guy
❤️
This is the funniest lecture I’ve ever seen. Thanks for teaching me what my actual teacher hasn’t been able to do in over 4 classes
:)
I used to love solving differential equations in college back in 1970. Now I'm 77 and have forgotten it all...plus calculus, and a lot about algebra.
It's alright. ❤ 😊
I just finished calc 2 and im going to take doff eqs and calc 3 next ssummer. Thank you so much for posting these lectures
rewatching again for my next semester subject SDE. btw I get A for ODE! thanks a lot cause i watch your videos so many time last semester.
Love his teaching style.
41:20 is the laziest attempt I've ever seen at erasing a board haha. Love your other videos talking about math. I just started a 5 week crash course in DE, so I'll be following this whole series. I appreciate your efforts, Mr. Sorcerer.
Hahahahhaah
Awesome and the best professor teaching the subject!
3:46 I would not recommend the use of 'del', because it's ambiguous, see Wikipedia:
The symbol is variously referred to as "partial", "curly d", "funky d", "rounded d", "curved d", "dabba", "number 6 mirrored", or "Jacobi's delta", or as "del" (but this name is also used for the "nabla" symbol ∇). It may also be pronounced simply "dee", "partial dee", "doh", or "die".
I 'd stick to 'partial' for ∂, and 'nabla' for ∇.
🎉🎉 you make the laborious task so celebrative 🎉🎉
The best teachhhher ever ❤
thank you:)
This camera system is nice, it’s like being there in class with the other students!
I really like you.. I wish that I could be part of your students in the class. They're lucky!
Good presentation. I can now enjoy O.D.E lecture. Thanks so much
36:45
Is it called the Rectangular Hyperbola because it is in a rectangular cartesian coordinate system?
I've been taught that dy/dx is an operator and not a ratio; then, how in Ex-(d) of linear vs non-linear we're dividing equation by dx? Am I missing something here?
Rectangular b/c the asymptotes are at right angles.
You are a good teacher and appear to be passionate about mathematics. If you do not already you should teach one probability course without calculus and one probability course with calculus with the same format you are using in this video. Do you make your lecture notes, practice problem sets, and past exams avalible to the general public for free? My goal with learning about differential equations is just learning how to model things with them. I do not necessarily need to learn how to solve them for my purposes. Thank you so much for these very good videos and for the high quality content you put on your channel.
You are welcome and thank you!!!!
Hey man, do you have any videos on solving the algebraic riccati equation?
I do not but I should look into it!
I am a mathematics education student. Thank you sir for the video. I hope there is a translate into Indonesian. 💕 and i love all your videos sir. ☺
Hi all. I have a question regarding the longest interval of definition. I do understand what it is, I just have a doubt in case of this particular function of y=1/(x^2+c). For the I.C of y(0)=-1 we have selected (-1,1) as the longest interval, however when we plot this function, the 3 parts of the plot are not 3 different functions or 3 different plots, these are all one plot of one particular function y=1/(x^2-1), function that passes through (0,-1) but also all the points from (1,inf) , so shouldn't we choose the right part of the plot as the longest interval? (or the left one of course)?
No you choose the part that passes through the point, that's a requirement in the problem, it has to pass through that point, so the largest interval such that the function passes through that point is (-1, 1).
@@TheMathSorcerer OK, thank you.
These lectures are great.
I am glad you put the whole course here on UA-cam.
What textbook did you use?
I second this request ;) I would love to know what textbook, if any, you used in this class. Thank you for the content 🙏.
Del is not the curly d. Del is the upside down delta, used for the gradient.
I was surprised at the information mentioned (start at 3:39.) I always thought the students must finish Calculus 1, 2, and 3 before taking differential-equations class.
Watching this as I start my calc journey to get to D.E. Wish me luck.
I would hire this guy on the spot!