The relationships you develop with these students makes the lecture feel so much more enjoyable and personal than if it were just a formal presentation. As always, thank you for sharing your gifts with us! 🐴
Okay ... I am learning so much using this guy's videos. I pause constantly and try to do the steps myself, then press play to see if I'm right or learn something I forgot from earlier calc classes. AND he is so likable as a person so it is totally making learning fun. Wish I could take a class from him in person!!! Thank you for posting these videos x1000!!!
Great Lecture. At 37:05 partial fractions is not necessary to use. You can multiply all terms by P^-2 then pick the denominator as a u substitution and solve.
@@TheMathSorcerer You're welcome. Do you have any lectures about Concavity/Cuasiconcavity, Method of succesive aproximations, Contraction Mapping, Metric spaces and vector normed spaces, Cauchy sequences?
Thanks a loooot professor! The lesson was really helpful! I have never heard about tabular method, i regretcnot using it. I wish I had a teacher like you!Best wishes!
So I just took my first exam in my differential equations class and I felt confident but I absolutely bombed it because I could not identify them as the correct DE. In one of your lectures you said for a review for the test you were going to put a bunch of DE'S on the board to see if they could identify them. Do you happen to have that lecture recorded to post it? Or if possible can you please make a video like that please.
Hi! Thank you for this! Do you have a playlist with only videos from your class lectures? I'm trying to compile all the DE class lectures, so I can learn in sync. Thank you so much for the work and effort you've put into these!
Hello Professor Thank you so much for your interesting lessons,i do appreciate your job.I wish you peace and happness under the sky of prosperity. Take care and have a good time. All the best. Your Student from Algeria
Another great lecture. Flag is backwards though. Blue field in the upper left, unless reversed for the right side of a uniform. Tabular is also great for IBP where you need to obtain the original expression again to get 2(stuff) on one side.
thanks for efforts, you are really amazing and motivating. There is a small detail about 7.25 of the video. You were saying taking derivatives of x. (And u^2). However, it could be more correct like this: We take the differentials of u^2 and x. As you know, differentials and derivaties are not same. Am I wrong? f'(x)=dy/dx then f'(x).dx=dy and left handside called the differential of f(x) or as well as y.
You're integration by parts on problem 5 is the tabular method. You can see that this goes on forever, and you go until a product is integrable. It's great you support the d i method through ❤
It is funny in a bad way to see my teacher going to the "easy ones" because we need to know the hard ones and putting on the homework extrahard ones that he knows hot to solve because it has years of experience giving the same course on the same way, and it is a sad an a boring class with a lot of teori, not much practice it getss pretty confusing cuase it fills the board with a lot of things at the same time... i hate it and this is much better
for the paritcular soln in 18:00 of video, what is the interval of defn? it seems like [0, inf.) but if x=0 then y=0, and if we look at the diff equation, if y=0, then the d.e. become meaningless because of y=0. Now, the int.of defn should be (0,inf.) or something else?
I was never taught tabular in high school or the first two years of college at a pretty decent math and engineering college. I don’t understand the ideology of making thing more difficult than necessary.
For the last d.e., P=1 and P=0 are singular solns? These provides the equation if they are imposed into it. Besides, it cannot be obtained from one parameter fmily soln because we know that the constant C cannot be equal zero and in 51:30 as you made that we multplied both sides with 1-P so it is valid for P not equal 1. Actually we can^t get it P=1 from one p.f.soln. Thus, they are singular solns. Am I right?
@@ShinXiao When there's repeated roots, like (x+m)^2, that is when it doesn't work, and you have to find another term to plug in to try it. Usually x=0 or x=1 are easy values to use, if they aren't already spoken-for. The Heaviside coverup method makes it so you can significantly simplify the system of equations you need to solve, to generate partial fractions.
In the last problem, if I take (-) out from (1-P) factor and Integrate it as -ln|P-1|, the final answer becomes P= Ce^t/(Ce^t - 1). Am I doing somthing wrong there? How is it possible to have different answers when I take (-) out from (1-P) ?
I did same mistakes, you forgot the - sign in substation part of the (1/1-p) as u=1-p, in the continuation:dp=-du. John, maybe you miss that "-" sign in "-du"
whenever one of the functions after repeated differentiation is zero, and whenever you can integrate the other, then tabular:) so like the integrals of x^3sinx x^4e^(2x) x^2cos(5x) are all classic examples of tabular
He's using what's called Tabular Integration. It's really just a shortcut way to do integration by parts that works well for certain types of integrals.
@@glenmatthes8839 It can be used a lot more than you think. Just about anything where integration by parts works, tabular integration also works. You simply need to know the three kinds of stops to look for: 1. You differentiate the D-column to zero 2. You can spot the original integral in the I-column, or across the final row. The kind that The Math Sorcerer calls a looper. Common when you have trig and exponentials in the integrand together. 3. You can construct an integral you can solve by another method, across your final row. Common when you have logs and inverse trig.
here is where i skip class boss, thanks all is theoretic physics now i just remembered my quantum tunneling incryption !@ auto second remember if you ever mathematics collapse the plank unit to quantum aware bandwidth beyond theory you still have logarithmic scaler as a flash unit of differentiating and doing geometry tripping i guess sorry mr hand
What did you say about arbitrary constant in video when occurring had of letter on C? I can't figure out the pronunciation. Just like "Siktir le" in Turkish. What does it mean italianistica word?
Olm herkes son soruda varoluşsal sorular soruyor? Son soruda içinize ne kaçtı olm? Yorumlara patladım ya adam 50. dakikaya kadar her şeyi anlayıp son soruda burada niye eksi işareti var diyor? Olm geç kaldın, ilkokulda dahi olmadan önceki hype moment'da söyleyecektin onu sdıoghsdolgıkshjgsdgpsdoşj
Imma owe my degree to professors like you, Leonard, and the organic chemistry tutor. Words can't describe how helpful you've been to me, Thank you!
Students are lucky to have such a funny and open lecturer
The relationships you develop with these students makes the lecture feel so much more enjoyable and personal than if it were just a formal presentation. As always, thank you for sharing your gifts with us! 🐴
I love the way this dude connects with his students.
That's a mark of a good teacher!
Okay ... I am learning so much using this guy's videos. I pause constantly and try to do the steps myself, then press play to see if I'm right or learn something I forgot from earlier calc classes. AND he is so likable as a person so it is totally making learning fun. Wish I could take a class from him in person!!! Thank you for posting these videos x1000!!!
As enjoyable to follow as listening to a concert of superb music! Well done!
Dude is amazing how he nice is. I would love to have him as my teacher.
Great Lecture. At 37:05 partial fractions is not necessary to use. You can multiply all terms by P^-2 then pick the denominator as a u substitution and solve.
Thank you, professor! The examples were beneficial, and now I know a quicker way to do partial fractions, thanks to you 😊
THANK YOU SO MUCH! Also learning Tabular just blew my mind. So much friendlier than IbP.
your classes are great! you motivate me for studying for my undergraduate in economics in Argentina
Thank you !
@@TheMathSorcerer You're welcome. Do you have any lectures about Concavity/Cuasiconcavity, Method of succesive aproximations, Contraction Mapping, Metric spaces and vector normed spaces, Cauchy sequences?
I have an advanced calculus playlist on the main page that covers some of those topics
I cannot get bored while watching you. Thank you ❤❤❤ you are the best 😊😊
You’re a saviour.. thank you so much for your help to students everywhere
mayne you da best, thanks to this video i was able to crush DEs in college, didnt know about tabular but its super effective ,Love from Pakistan
Thanks a loooot professor! The lesson was really helpful! I have never heard about tabular method, i regretcnot using it. I wish I had a teacher like you!Best wishes!
You're very welcome!
You definitely make math fun.
So I just took my first exam in my differential equations class and I felt confident but I absolutely bombed it because I could not identify them as the correct DE. In one of your lectures you said for a review for the test you were going to put a bunch of DE'S on the board to see if they could identify them. Do you happen to have that lecture recorded to post it? Or if possible can you please make a video like that please.
Hi! Thank you for this! Do you have a playlist with only videos from your class lectures? I'm trying to compile all the DE class lectures, so I can learn in sync. Thank you so much for the work and effort you've put into these!
You are such an angel. My Savior from these monsters. Really a great demonstration. Love from Pak
👍👍
Thank you. Never heard of either tabular integration or the Heaviside Cover Up method.
Thank you so much for making my review for my exam way easier!!!
How have I never even heard of tabular integration? It would have saved me so much pain to know this like 3 years ago.
Fueling my passion for mathematics!!
Hello Professor
Thank you so much for your interesting lessons,i do appreciate your job.I wish you peace and happness under the sky of prosperity. Take care and have a good time.
All the best.
Your Student from Algeria
Interesting! I'm happy watching your course.
Another great lecture. Flag is backwards though. Blue field in the upper left, unless reversed for the right side of a uniform.
Tabular is also great for IBP where you need to obtain the original expression again to get 2(stuff) on one side.
thank you sir, in the chemical engineering field from South Africa😃😃
Wow I've never heard of tabular ! Very cool
You are so fun to watch lmao, hopefully this preps me for ODE next semester
Ya it totally will!
32:36 the bravery of this lad
haha I know exactly who that was, love that guy, great student:)
thanks for efforts, you are really amazing and motivating. There is a small detail about 7.25 of the video. You were saying taking derivatives of x. (And u^2). However, it could be more correct like this: We take the differentials of u^2 and x. As you know, differentials and derivaties are not same. Am I wrong? f'(x)=dy/dx then f'(x).dx=dy and left handside called the differential of f(x) or as well as y.
You're integration by parts on problem 5 is the tabular method. You can see that this goes on forever, and you go until a product is integrable. It's great you support the d i method through ❤
It is funny in a bad way to see my teacher going to the "easy ones" because we need to know the hard ones and putting on the homework extrahard ones that he knows hot to solve because it has years of experience giving the same course on the same way, and it is a sad an a boring class with a lot of teori, not much practice it getss pretty confusing cuase it fills the board with a lot of things at the same time... i hate it and this is much better
Thank god these videos exist
excellent teacher thanks alot man
Amazing class ❤🎉
Students sitting in this legends class have no idea have lucky they are!!!
Heyyy i really loved your teaching.Can we also get the homework questions for practice? 😃
We just did problems from zills book on DE, so the section s follow that book. If you get an old copy should be roughly the same stuff
@@TheMathSorcerer okay thanks alot !!
@@TheMathSorcerer thank you!
for the paritcular soln in 18:00 of video, what is the interval of defn? it seems like [0, inf.) but if x=0 then y=0, and if we look at the diff equation, if y=0, then the d.e. become meaningless because of y=0. Now, the int.of defn should be (0,inf.) or something else?
Pulling out big P in front of the whole class... brave
Can we get the homework prolems/solutions as well or does the university impose some restrictions on that?
Does anyone know what school this professor teaches at?
I was never taught tabular in high school or the first two years of college at a pretty decent math and engineering college. I don’t understand the ideology of making thing more difficult than necessary.
For the last d.e., P=1 and P=0 are singular solns? These provides the equation if they are imposed into it. Besides, it cannot be obtained from one parameter fmily soln because we know that the constant C cannot be equal zero and in 51:30 as you made that we multplied both sides with 1-P so it is valid for P not equal 1. Actually we can^t get it P=1 from one p.f.soln. Thus, they are singular solns. Am I right?
Lastly, the interval of defn is whole real numbers?
❤❤❤
I want to see that student's proposed method in close to 39:00.
Does the cover up method work for all partial fraction problems?
No only those with distinct linear factors
@@TheMathSorcerer like simple factors as such (x-n)^2 and (x-n)(x+m) along with (x+m)^2 as the denominator?
@@ShinXiao When there's repeated roots, like (x+m)^2, that is when it doesn't work, and you have to find another term to plug in to try it. Usually x=0 or x=1 are easy values to use, if they aren't already spoken-for.
The Heaviside coverup method makes it so you can significantly simplify the system of equations you need to solve, to generate partial fractions.
have you ever heard of the DI method?
I really wish the camera didn't move so much, otherwise great video!
👍
:)
In the last problem, if I take (-) out from (1-P) factor and Integrate it as -ln|P-1|, the final answer becomes P= Ce^t/(Ce^t - 1). Am I doing somthing wrong there? How is it possible to have different answers when I take (-) out from (1-P) ?
I did same mistakes, you forgot the - sign in substation part of the (1/1-p) as u=1-p, in the continuation:dp=-du. John, maybe you miss that "-" sign in "-du"
Okay very good nice but how to get that board I really wish to get some materials but not sure how so I will wait. Thank you . Sure.🤣😔🌹🌷💕
♥️♥️♥️♥️
:)
Awesome
Whenever it is "easy" to derive the two functions can I use tabular?
whenever one of the functions after repeated differentiation is zero, and whenever you can integrate the other, then tabular:)
so like the integrals of
x^3sinx
x^4e^(2x)
x^2cos(5x)
are all classic examples of tabular
@@TheMathSorcerer That's great!🤩
Which rule is being used to find the integral of x^3*cos(2x)?
He's using what's called Tabular Integration. It's really just a shortcut way to do integration by parts that works well for certain types of integrals.
@@glenmatthes8839 It can be used a lot more than you think. Just about anything where integration by parts works, tabular integration also works. You simply need to know the three kinds of stops to look for:
1. You differentiate the D-column to zero
2. You can spot the original integral in the I-column, or across the final row. The kind that The Math Sorcerer calls a looper. Common when you have trig and exponentials in the integrand together.
3. You can construct an integral you can solve by another method, across your final row. Common when you have logs and inverse trig.
Why has this teacher taught me more in an hour than my professor has in 2 months????
Are you a full time teacher?
Yup😄
@@TheMathSorcerer how you manage to make college classes seem so personal is a unique skill LOL
@@liftsu9943 haha thanks man:)
which textbook is being used?
Zill's textbook
@@TheMathSorcerer thanks for such a quick response, i just finished 1st lecture and wanted to solve hw problems
Eat your heart out professor Leonard... lol
lol
here is where i skip class boss, thanks all is theoretic physics now i just remembered my quantum tunneling incryption !@ auto second remember if you ever mathematics collapse the plank unit to quantum aware bandwidth beyond theory you still have logarithmic scaler as a flash unit of differentiating and doing geometry tripping i guess sorry mr hand
LMAO. i am confused. "Big P" was that intentional or what?
Never woulda guessed young Rob Halford was a math wiz with a full head of hair. \ ^.^ /
Thanks for saving my neck this semester!!!
you are welcome!
What did you say about arbitrary constant in video when occurring had of letter on C? I can't figure out the pronunciation. Just like "Siktir le" in Turkish. What does it mean italianistica word?
ha okey "C tail" sounds like anti-militarist Italian language
oh nope it's tildé okey ı learned in next video xd
I kind of feel like he was disappointed nobody asked for a pizza party
pushing P
teacher i think there's a mistake in number 5, when solving the integration by part, vdu is not correct
Sub!!!
Thx man😀
34:49
random politics mention lol
Olm herkes son soruda varoluşsal sorular soruyor? Son soruda içinize ne kaçtı olm? Yorumlara patladım ya adam 50. dakikaya kadar her şeyi anlayıp son soruda burada niye eksi işareti var diyor? Olm geç kaldın, ilkokulda dahi olmadan önceki hype moment'da söyleyecektin onu sdıoghsdolgıkshjgsdgpsdoşj
Anna getting triggered over the smallest things.. ah yes modern women are so fun