How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42)
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- Опубліковано 27 чер 2024
- How to graph Polar Equations WITHOUT converting into Rectangular Equations by using symmetry of Polar Functions and plotting a limited number or points.
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This will probably get buried in the comments section, but, I just want to thank you for helping me through my college calculus classes! You'll be happy to know that I graduated with a degree in Aerospace Engineering, and I am now working for NASA! I couldn't have done it without you!
Damn my guy, good on you! Prof. Leo has a gift for teaching.
That’s amazing to hear! I’m currently also an undergrad aerospace engineering student.
I got my degree in mechanical engineering and 100% would not have made it through my math classes without him. Been working as an engineer for a year now.
Ha! I'm also aiming for Aerospace! Also a mathematical child of Prof. Leonard. Ha!
Holy crap working for NASA?! Congrats dude!
Please start a series on Linear Algebra or pure probability or continue the statistics course. Please, DO NOT STOP TEACHING NEW MATH !!!!
Yes that would be great
YES DO PROBABILITY
@@kalekkakmdkekjaakwkmdb8506 already done look at his playlist
@@kalekkakmdkekjaakwkmdb8506
He has several Probability videos in his "Statistics" playlist.
@@Peter_1986 he didnt finish his stastics course though
To everyone here, massive congrats! Failure rates are incredibly high for MOOCs and you worked through this start to finish. GJ everyone and a massive TY to the legend himself Professor L.
I have graduated in 2021 and till today I'm so thankful for your professor! May allah reward you and guide all of us to the true happiness.
I just finished the whole series! It has been a great learning experience for me! I am grateful for your work Professor Leonard. I can't wait to work through these other playlists. Thanks.
Aw man, it's been a fun journey. Feels good sticking through all 115 lectures and working out every example problem along the way. I searched high and low for a good Trig course several years ago, but good teachers are hard to find, and ultimately I stopped looking. This one however, is second to none, and proving to be well-worth the effort. Now I can comfortably journey into calculus knowing I'm armed with the necessary prerequisite knowledge.
Thanks for providing such valuable and much-needed content to the masses for free. I recommend this channel every chance I get. Can't wait to see whatever the the next wave of Leonard content brings!
Professor Leonard ,thank you for a beautiful and final video/ lecture on How to Graph Advanced Polar Equations with Symmetry in Trigonometry. This topic is also covered in Calculus Two and Differential Geometry. I watched, commented,analyzed and took notes on all 115 videos and they are amazing. Professor Leonard, you covered College Algebra, Precalculus and Trigonometry in this Playlist. This is a tremendous help for students taking these courses and for students taking Calculus and other math courses in the future. I sincerely hope that students worldwide appreciate what they are watching. When I was in college in the late 1980's/ early 1990s, I did not have UA-cam videos to watch. Professor Leonard, I will be talking to high/college students in and around the Baltimore,MD area about watching your videos on UA-cam.
Please keep teaching us Professor Leonard. Never stop your work. Thank you for teaching us.
You are the greatest professor of all time. I have been struggling with math for a long time. However, since I found your youtube channel, my Math level and my attitude toward the subject completely changed. I started getting 'A' in my courses but the most important thing is that I started loving math (I can't believe I am saying this now).
All of this goes back to your outstanding efforts professor.
Thank you!
You are our Math Hero!!!
I can't believe that I just watched an entire playlist of 115 videos of mathematics, you explain everything so well, thank you so much 🙏
Please start a series on Linear Algebra :) Thank you, Professor Leonard.
He's working on it as we speak
Please do not stop teaching math, literally I watch all of your videos for my add math, and u are the best!!!!!!!! Never stop teaching sir!!!!!!!!!!!
i found this channel freshmen year of college (2018) because i was struggling in statistics, passed stats SOLEY because of these videos and i came back just for fun to see if Professor Leonard was still making videos. pls never stop teaching and always keep these videos on youtube
Excellent, excellent, excellent videos. Your presentations are exemplary on so many levels. Thank you SO much!! You are a champion.
Professor Leonard thank you so much for this channel I passed Calculas because of you. God bless you sir. may God continue to strengthen you in helping more students like me 💛
Like many people in the comments I've watched all 115 videos and have walked away feeling so much more like I understand this stuff (I never felt that way in official math classes... usually due to lack of refreshers of material covered months before). These videos are such a valuable resource and have really fostered a love of math for me, so thank you!
I hope you'll continue your series on Differential Equations, Professor. You helped me crush Calc 1-3 (thank you) and Diff Eq is next semester.
Diff. Eq. is a must! I'm hoping Brofessor will have started with it by the time I'm done with Calc 3
I think there's already a playlist named differential equations here on professor leonard channel.
@@mamoonaamin498 there is, but he never completed it.
Thank you, Professor! Thanks to your videos, I got an A with 94 in Calculus 2.
It literally just doesn't get any better than Professor Leonard. If you're new here and you just came across this video, stop looking. You've reached the holy grail of math education and human delightfulness.
The first video that I even watched with Professor Leonard was his first video on Sequences And Series in "Calculus 2", section 9.1, and I could immediately tell that he was someone very special.
WOAH
I've been waiting for this moment for years. I remember watching your calculus 3 series everyday for 4 months straight. Notes and everything. It was the best experience.
I love your in-class videos more than this style cause in class it's so natural and I feel like im one of the students you're talking to. This format gets the job done but monotone and it's because you're not looking at a real people. You're looking at a camera.
If I was a real student I can still benefit from this because id have to watch it but the element of wanting to watch it and it being fun and relaxed and natural is gone.
Why don't you do both since you're already going to classes. If you do, I'm completely stuck at analysis and higher level calculus and linear algebra. I really hope you bring back real classes for those higher level classes.
Im confident your views will skyrocket back up if you do so
Have you heard of the pandemic?
@@keonihj611 HAHAH I COMPLETELY FORGOT
@@claymusic2205 LOL i did too until reading Keoni's comment
@@keonihj611 pandemic has been over bud. This format gives him the chance to formally plan his videos and cut out/redo any parts of his lecture that need it. A lot better than an 'all-in-one-take' lecture
I just want to say thank you professor for filling the gap of knowledge that my teachers weren’t able to do. You’re such a role model to me. I hope to become a professor as good as you someday❤
You teach better than my teacher !!! I understand better calculus when I watch your videos. You’re videos are the best ! 🤗
I just wanted to say Thank you Superman. I passed calculus 3 because of you. Merry Christmas and thank you for fighting off villains and helping us pass our math classes in your spare time.
just discovered your pre-algebra series, checked to see if you still make videos- turns out you do! that’s a relief, i wanna get my math skills up :)
Made it this far thanks to you professor. ONWARD WITH CALCULUS.
Thank you Professor Leonard!
This series was really helpful!!
Hype to everybody who made it through, I just finished the whole Precalc course, I just have a few other things to brush up on and then ill be watching the calc course
Great job Prof.
Also the video quality looks amazing.
Remember watching your videos for lower division calculus courses. Very helpful for supplemental notes and for learning independently, but now I'm lost in upper division. Can't wait for the linear algebra course. And maybe even beyond into advanced math like analysis and abstract algebra. No full courses for those two on youtube, yet, other than outdated lectures. Think it would be very helpful too, since you have a skill of teaching intuition -- something impossible in that pair.
And when I thought you couldn’t look any hotter, here this video popped up in my UA-cam. 😊
Is this how you speak to ur professor!
he makes it easy to listen 😩
Your are a legend professor..you are the best teacher i've ever seen in my life
I'm a student from South Korea. This course helped me a lot. I'll now move on to the next step of your calculus 1 course! Thank you professor for your great lecture videos:)
Thank you so much for teaching me something that my school never did 🥰
Thank you for this incredible series!! It has helped me so so much! Next I will start taking calculus over winter quarter at school and I already know I'll be following along with your calc 1 series. Thank you for all that you do to help make math better.
I am literally going through every single video by Professor Leonard at the moment - I started watching "Prealgebra" a couple ago - and I am using his example problems as practice material for MatLab, haha. It is very fun to use that programming language as a tool for solving as many problems as possible - it's like killing several birds with one stone.
thank you x100000000 for all that you do. Computer Science will have one more first gen female because of your math videos!!!
Thank you for helping me graduate in electrical engineering!!
Love your vids superman you helped me get through all the math classes at my community college :D
Superman Professor Leonard is the LEGEND!
You Sir! You Sir, are a legend!
Terrific course! The rest is up to me. Thank you.
thank so much . i have completed today these series , can't wait calc 1 to staart soon .
I wish i found you earlier, literally passing because of you. Thank you!
Love the course - awesome and learning more than I ever did in HS/College. Prepping for a masters and having to relearn things I have credits for but little recollection. On to your calculus lectures and stats after.
2 minor things. For this video - 2 root 3 should be 3.5ish (I know it's minor and you almost always have caught these. The other is - mnemonic is nĭ-mŏn′ĭk not pneumonic in a prior video. I'm always glad when I'm made aware of a mispronunciation that I had picked up (so many), so please take that as my intent.
Your videos help me so much ❤️❤️❤️❤️❤️❤️❤️
Thank you so much teacher! You rock
Thank u sir this series is very helpful
Really helpful thanks for your videos
i see you Leonard with the freshcut
Hi prof, Here to show some love ❤
Professor Leonard believes in me!!!!
In one sentence sir, you've saved my grades. Thank you.
please make a series on Linear Algebra!!
Our boy got a fresh cut sheeeesh
You are a lifesaver, Professor Leonard! Such a blessing to have math instructors like you on UA-cam. 💯
Can you start a full course video on Linear Algebra, please?🙏🏽
@professorleonard
Hey, I seriously appreciate you taking the time to make this whole series for us.
Though I would love to see you do a series/course like this one with algebra for those that are learning.
Even do a few episodes on fractions. And maybe leave that as a sort 'course' even on its own for those looking for good help and instruction on that topic.
You are a good teacher and that is why I'd like to see you do things across the board
In his channel intro he says its labeled his TTP math videos
Well done professor u r great
Thankyou for teaching us, its really did work on me😣😣💞🌷❗💥
It's a bird... It's a plane... It's...
Calc Kent!
im literally going through the entire math curriculum using professor leonard
r(θ)= 1- sinθ to you professor for helping me a lot through these invaluable lectures.
Professor Leonard,
Happy holidays. Merry Christmas to you and your family. When do you plan to upload Linear Algebra videos? We are all anxiously waiting for Linear Algebra. You say?
MAAAAAN YOU'RE A LEGAND!!😊
Sir can you make video on gamma and beta functions? It will be helpful.
Also video on matrices and Fourier series
Leonard changed his haircut
I watched your video couple years ago when I was a colli student
Professor Leonard said in his video "Professor Leonard's Important Announcement 2019" that he would make a playlist on Linear Algebra some time after finishing some of his other playlists, so there is a chance that he might start making videos on that course in the very near future.
Yeah my guy, after finishing his Diff. Eq. course that's currently stuck at 30 vids, with another 70 to come!
@@djt6fan He seems to have covered most stuff on that playlist that was brought up during my first-year course in "Linear Algebra & Differential Equations" at university, so hopefully he will make a bunch of videos on the Laplace Transform, since that method is extremely useful for lots of linear integrodifferential equations..
Hey @Professorleonard I’m in my differential equation classes we are covering matrices,determinants and system of linear equations. Do you have any content on these sections ?
I need more pre calc videos!!!! PLEASE!!!
I would love to see the continuation into Calc 1 using this style of video
Sure, as long as he also keeps the original lecture videos for that course.
@@Peter_1986 how would you rate his lecture on calculus from 1-10? I'm taking ap calculus next year so would you recommend me to study from his playlist? and why؟
Thanks!
Professor, are you planning on doing course on Discrete mathematics?
Thank you.
I MADE IT! Will continue to hone on practice precalc exams as I jump onto Calc
It only gets more fun
hello, did you completed all the videos in this playlist and then did you jumped to calc?
@@mayuraandrew I did. It required more practice here and there (test exams) but this is an excellent resource
@@Hamza-qs7ez wow amazing 🤩 I'm also studying this need to jump College Algebra and Trigonometry.
I miss you so much, where're you? And you're creative keep going✨✨✨✨✨..
Sender: your brother (Baraa) from Palestine
🇵🇸🇺🇲
woahhhhhh, i accidentally opened this and damn professor u lost so much weight here, I'm used to watching ur bulk body in the differential equation lectures. Hope u weren't sick tho, all the best for the future
Thank you so much:)
Professor, please upload the other 2/3 of the differential equations.
Just finished this course))) when will professor Leonard resume his teaching? Anxiously waiting for new videos
I am just concerning if you are in good health and everything is going alright, you didn't upload in 2 months, please let us know!
Finally made it through all 115 videos of the precalc playlist. Got 1 month before my calculus 1 class and had to watch the videos on 2x speed to get through everything.
Did it prepare you for Calc 1? I'm in the same boat as you right now!
@@TheLNLSistersLenaAbed Yes. Very much so actually. Got a 3.9/4 in my course. His teaching style is really good and if you watch them on 2x speed you can get through them relatively quick. If I ever take another math class, I'll use Leonard. Good luck in your class!!
@@AZ-gs6hj I appreciate it! :) Did you do any additional review/practice after watching each video? Also, thank you for such a swift and informative response!
@@TheLNLSistersLenaAbed My method was to watch the videos and take clean detailed notes as well as complete all the problems in the videos. Honestly, I only had 1 month to review so I didn't bother to do anything beyond the videos and I don't think you need to. If you really want to be ready you can find practice problems or mock exams after each chapter to make sure you can do the problems on your own. Also he has a calc playlist and I watched just the first few videos of that to see what calc 1 includes. Overall, calc 1 isn't as hard as people say it is. I noticed for math the best way of learning is just doing tons and tons of practice problems. Another method I did this time around was creating my own study guides for each exam. Start adding problems to it after every chapter so when test time comes, you don't have to spend time looking through your notes. Instead you'll already be organized and only have to study!
@@AZ-gs6hj You're amazing, thanks!!
Please, professor leonard start your series of linear algebra 😥. I am disappointed in my university because they teach us not the way you do. I hope you start these days. And thank you for all your previous courses
You could check out the playlist "Linear Algebra 1: Basic Concepts" by Michel Van Biezen in the meantime;
iny my opinion, that guy is just as good and likeable as Professor Leonard.
Please don’t stop😭😭
Hay professor ! You are too good for teaching maths .
Love from India 🇮🇳 !!
From which country do you ??
he is from California USA
Sir please upload lectures for partial differential equations also
It will be grate help for us
Mr.Leonard please make a series on real analysis!
I wish you taught university classes. Could really use your help with transfer functions and stress analysis
I (r=1-sintheta) u professor!
Amazing series. Professor Leonard, is integrating by completing the square somewhere in the calc 2 playlist, or would someone know where I could find it? I have seen the completing the square video (not the integral one) but if someone could point me to an integral by completing the square section by prof Leonard would be, it would be great. Thanks and all the best for 2022.
Can you give advice as to what topics I should ABSOLUTELY REVIEW before I start calc 2? I got a c in calc 1, low retention and really want a A in calc 2, but I can’t review everything before the semester starts
Hey professor Leonard,
Have you had the chance to go over linear regression? I am really struggling right now.
I started calculus while not having all these excellent foundations
I’d kill for a number theory playlist.
Do you have a plan which will take a lecture videos about set theory, number theory, discrete mathematics, and analysis, topology..and so on?
Hey Leonard,
Is there another way I can make a donation without having to go through Patreon?
can you please start a series for Act Math and AP calculus, Or are the videos you already posted enough?
Does anyone know if this is the final video in the series? Is there topic in precalculus he hasn't covered or am I good to go for my placement test in Sept?
please make video on fourier series....please @professor Leonard
hello professor ,What books should I use to find out about application of matrices ?
HOLY MOLY THE VIDEO QUALITY
Hello Professor. Sorry to post this here, but I want to take the Statistics course you have here in your channel. I want to ask what book you were using there. I need to follow the book, or atleast you could share the problems you used to give to your students for that course. Thank you in advance.
Sir please upload videos for partial differential equation
Please do videos solving complex problems with functions and limits, or do a sophisticated course about calculus 1, 2, 3. I hope you can, we want you 😟
he literally has 3 epic playlist for cal 1, calc 2 , cal3 . that is all you will need to understand the concepts
@@relentless.resell I think he wants a more rigorous course.
@@johnbiluke8406
His Calculus videos contain pretty much everything that I studied in my first-year calculus courses in the program "Engineering Physics And Electrical Engineering".
I guess you mean something like a course on transform methods (Fourier Series, Fourier Transforms, Laplace Transforms etc), as well as maybe a course on partial differential equations.
I remember that my second-year course on partial differential equations was a nightmare, and involved a lot of weird stuff like Hilbert Spaces, Sturm-Liouville problems and Calculus Of Variations, although those topics are manageable if they are taught in the right way.
If you are looking for those kinds of videos then you might want to check out some of the videos by Chris Tisdell, who I would say is just as pedagogical and likeable as Professor Leonard.