Many thanks from an old woman. Went back to college at age 38, earned a degree in chemical engineering. So many years out of school, it was a real struggle. I survived calculus but barely. Now at 75 I have the time to go back to truly understand and savor its beauty. You are an excellent teacher!
I hope you are doing well Margaret! I thought at 24 I am too late to get back to Math as a career after being a software developer for 3 years, now I want to go back to school to study Math again!
I salute you, fellow traveler! At age 52, I went back to mixed martial arts, calculus, and economics [already two years into that]. Currently 53, and feel like I'm on the right track. Also love Michel van Biezen's channel for math.
Hi, I am an Indian with a Post Graduate Degree in Physics. but I would not say calculus is something i truly understood. I recently decided to do a masters in Astrophysics so that i can live my dream life. I am writing this 6 months before the start of the course. I am currently recalling and refreshing all of the calculus. I looked at many videos on TH-cam, but none of it came any close to how you teach. If you are reading this Professor, I would like to let you know that I am extremely grateful that TH-cam suggested me your video. You are one of the best teachers from whom I have gained knowledge. Thank you so much, you make the world a better place just by being in it.
thanks for bringing me back to this, omg his arms are so big. also this class traumatized me i literally have ptsd omg esp when he showed that trig graph thing@@volcanogamer6758
Dude, I don't think I've ever spent over an hour watching a Math video. I don't even think I've watched a TH-cam video over an hour long. I've been struggling with trig since grade 10. After going back to university after 6 years out of high school, you have finally been the one person who's been able to teach me trig. Amazing video.
You just made me sign in, Professor. Thank God, you exist. Really Really helpful every maths professor should take classes from you on how to teach Calculus.
Man, after struggling through the Khan Academy Calc AB, this video is a breath of fresh air. I hadnt realized how much trig id forgotten, and the K.A. course didnt build in a recap like this, which wouldve been incredibly helpful
I don't know why but there is this strange way of teaching where teachers present the concepts in really twisted way so when you actually sort it out in your head it stays there because you've put the effort in understanding this. Not quite productive in my eyes.
I'm so glad I took a trig class in college even though I wasn't required to. My classmates who hadn't had trig since high school were always struggling with trig questions in calculus. Plus it's just a beautiful topic that connects so many concepts.
I just want to thank you Professor. I am taking an online course because in sales I don't have time to do a normal class. I am struggling with the written information given by the class, and your recordings have been such a help. Not only have I been able to learn faster and more thoroughly, but I have studied many many hours on other resources to help me understand and with your videos I have connected a lot of dots that I had learned and learned them faster with you. So again, thank you!
1:09:24 That's exactly the sort of idea I had in my mind about subtracting to shift forward No one ever bothers to explain this Thanks for the excellent lecture
That's a smart move. I'm an accounting student, and I've noticed a lot of math illiteracy in the students (myself included) and in how business subjects are taught. Everything can be quantified and thus quantitative analysis lies at the heart of solving life's problems. It drives me absolutely nuts when a professor tells us to evaluate the risk of something, but doesn't give us any guidance on how to do it using statistical methods. We're just supposed to look at financial statements and compare common-size figures. To the extent these skills aren't necessary given the format of the course this is really a personal problem. Nonetheless in the professional world failure to use quantitative methods can have tangible and material consequences; not teaching this stuff in school produces professionals w/ extremely limited scope w/ respect to their skills. Qualitative evaluation is a proxy for quantitative analysis when the latter is impractical. In fact the only class I've failed thus far is Economics of Growth & Development, and it's b/c the entire class was writing papers about World Bank data, w/out actually analyzing the data in a meaningful way. Bit of unsolicited advice: if you have the time you shouldn't stop @ trig. Go on to calculus 1, 2, and stats (and maybe calc 3). People I know in math and engineering generally say you should learn calc 1 and 2 before stats; as I see it stats is the minimum level of math you need to understand economic phenomena. Technically you can learn Stats using algebraic foundation but you're limited in what you can do.
Johnny boi Supreme Thank you for your input and advice! I agree, much of the business world is quantifiable if we can record and analyze the data. Luckily, I will get a TON of math under my belt before graduation: Calc 1, 2 and 3 (multivariable/vector); Stats 1 & 2, Computational Stats, and Linear Algebra. Honestly, I never considered myself a “math” person so the fact that I’ve gotten almost all A’s up until this point sometimes baffles me. Lol. I here the Calc 2 course is pretty hard at my school so wish me luck!
I just have to say this. While I'm watching these Calculus lecture videos, there's an Old Spice commercial that starts with "Limits: Do they exist, or is it just a made-up word to crush our dreams?"
I spent all of precalculus highly confused on trig graphs; i dreaded this video because i was afraid it wouldn't make sense. But now they seem really easy! Great video.
Prof. can u please come to Germany teach here i beg you, my prof. in hochschule rheinwaal are crazy as hell when we dont understand and ask questions they insult us then as a foreign student we never able to ask even 2nd time in our life..you are the best maths Prof. i have ever got :( ...before i want to start any topic i look your video and then i go through my calculus by james..my all good prayrs for you ..i am really honor to have you and and your contribution at you tube without you i am doomed at maths
Prof. Leonard, you're a great teacher, and apparently I'm not the only one who thinks so... Thanks for these videos. Regarding the 4 quadrant trig signs, I've always used CAST counter-clockwise from quadrant IV, but since you asked, here are a dozen new mnemonics I've invented... (You can think of the first as being from "Alice In Wonderland"; Alice talks to her pet cat when she's awake and to the Cheshire cat when she's in her dream. Also, # 6 isn't a reference to anything in particular, but it works very nicely with # 7. The rest I think are fairly obvious...) 1- Alice Speaks To Cats 2- Argument: Silly Talking Competition 3- A Sweet Tooth? Cavities! 4- Always Smoking Tobacco? Cancer! 5- Aphrodite Says Take Chocolate 6- Auntie Spanks The Child 7- Aspirin Stops The Crying 8- Apes Similar To Chimps 9- Actors Seek Television Commercials 10- Acceleration Speeds Toward c 11- Aquaman Saves The Cephalopods 12- Achilles Says Turtle Cheated
For the abstract thinkers, one radian inside a circle creates an arc length equal to the radius of the circle. For example, if you have a circle with a one inch radius, one radian will create an angle from the center to the edges of the circle, and the arc length of the circle, between the lines of the radian, will equal exactly one inch.
I would have thrown out my trig notebook, but teacher said, "Keep your notebooks if you are taking Calculus Next year!" She said it so much I thought she was stuck on repeat. I'm glad I listened to her and kept it.
i could have used a trig course done by you... it is the only class that you don't have videos for and it is the only one that i had to take twice. I have missed you for the last year. lol
Angles that have the same denominator all have the same trig function values (for instance, 30 which is pi over 6 and all other angles with 6 in the denominator have the same values and so do the angles with 4 the reference angle for those is 45 and the reference angle for angles over 3 is 60) You now don't have to graph or find a reference angle just use ASTC right away :)
Thanks for these great videos. I am studying through correspondence and do not have the "opportunity" to have tutorship. Reading the study guides can really be confusing and this has elucidated a lot of my confusion.
Awesome I have been always never understand what math is about and I used to fail in high school math…..but now I’m taking international economics bad luck I have to take math class again….it’s seems like I’m starting from scratch…so this teaching pace is gentle and clear better than during my A level math class at least now I know definitions of sin , cos etc
I generally use Tau instead of Pi, since the number of Tau immediately gives you the number of periods. For example, 1 Tau is 1 period, 0.5 Tau is 0.5 periods, and in general X Tau is X periods. This also eliminates the need to memorise angles.
The comment about learning math in summer school really hit home. I am doing that right now and that is why I'm here. My professor has not posted a single lecture (online course) and I was suggested to come here. You are helping me understand math during one of the worst classes I have taken lol. Thank you :)
Hi, does it really follow the stewart calculus tb? if so, i need to know till which video from the playlist should i watch to complete till the section 3.6 (Derivatives of Logarithmic and Inverse Trigonometric Functions) from the textbook? ITS URGENT PLEASE DONT IGNORE, I HAVE a midterm in 2 days and i'm extremely stressed Thanks in advance
I wish I was in this class because I would be raising my hand where he asked "Are we okay with this?" I understood everything else except the reference angles. Most of the other things were intuitive.
So COVID-19 has taken me out of my high school trig class. I don’t know what I’m doing with these assignments, so now I’m watching calculus videos to figure it out. How did it come to this?
Don't worry, if you legit wanted to learn cal 2, and cal 3 you would of found professor Leonard anyways. Get used to it, college is essentially you paying for a degree while you learn from youtube
Absolutely fabulous teaching skills! I think I know what the hangup is at about point 42:00. The students have just measured 5/3 pi from the point (1,0) counterclockwise, and now you are asking them to change references, by measuring that angle from the positive x axis, clockwise. You sort of have to change which direction and numbering system you are using at that point. I got stuck on that for a minute.
For remembering trig functions I use: Should Old Harry, Catch a Herring, Trawling Off America. If you are a Scot you might like to use Aberdeen instead of America.
Dear Professor Leonard (and any other boffin who may see this ;) ) P.S. Prof: I'm sorry about spamming these on your videos. I'm just in desperate need of help. I understand if you can't provide it personally - you seemingly have a lot on your plate as is! However, I am hopeful that at least somebody knows how to get around this. I am studying a Calculus I course at my university, but the work is wayyy more rigorous than how it is laid out in the textbook, or even how it is on the internet. Professor Leonard has helped me a lot in getting me to understand the basics and my marks have gone up by 5-10% ever since. But I still can't understand some concepts in the calculus context. (ie. Triangle inequality, bijection, invertible, and many others). For a better idea of what I am complaining about, here is a OneDrive link with my previous homework assignments: @t Thank you so much for anyone who may help me! Also, thank you to Professor Leonard for giving the motivation and confidence to see that I can get around this huge obstacle. I may not be around it yet, but you have at least given me the confidence and have picked me up when I was down
Jus saying, using τ makes all of this radian conversion business much more trivial, as it is just angle/360. And converting to degrees, same business multiply by τ/360 (i.e. multiply numerator's number by 360/denominator). For example, 30° = 30τ/360° which simplifies to τ/12. That is to say, your angle is 1/12 of one full rotation, making graphing is also trivial (just divide the circle in however many parts the denominator is by whichever metgod you like). Using τ also means that the fraction multiplyng τ is always less than 1 if the angle is less than a full rotation i.e. 360°, and greater than 1 if it is more than one full rotation. Things couldn't be more intuitive and easier than this.
It is 2:15am and I got work tmrw, I am experimenting in things that put me to sleep fast like pod casts or music. Today's variable is a maths lecture, as I fall assleep in a lot of math lessons
Lol we had to memorize the unit circle last year in 10th grade. Kind of weird at first seeing him going the extra step of finding the R.A., but very nice to see it in a different way.
im taking a Trigonometry class and thank you so much Professor Leonard! your video is so helpful and this gave me understanding on how to perform certain task!
I wonder how is his students doing now in 2019? I mean having to know math on a teacher like this makes you absorb more information than the normal students on a normal teacher. If this is thought in 4th year high school, I wonder if the students already graduated with nice jobs 7 years later. Well I graduated in 2013 from college, I haven't graduated on a 4 year university yet, but if I had this teacher I might have more confidence.
Thank you Professor. But I dont understand how the function graph cancels at pi ?! We know that cos (pi) is always equal to -1. Can you or anyone expalin please?
Can you help me @ 23:35 you mention to memorize "COMMON ANGLES". I don't understand the examples you mentioned like, "COS pi/3" and "SIN pi/4". I searched all over TH-cam for these questions and couldn't find anything. I understand and I'm going crazy trying to find out lol. I literally spent the last two days watching videos on this and I couldn't find anything. I studied the unit circle, I understand the ratios of the trig functions, etc. but I don't know the answer to these common angle questions. Any help from anyone would greatly be appreciated. Thank you
imgur.com/a/MKQoZyR These are the common angles and their values for all the trig functions, they're VERY important to memorise if your school doesn't let you bring little cheat notes for exams, sorry for the late response
Many thanks from an old woman. Went back to college at age 38, earned a degree in chemical engineering. So many years out of school, it was a real struggle. I survived calculus but barely. Now at 75 I have the time to go back to truly understand and savor its beauty. You are an excellent teacher!
I agree.
Wish you all the best in life
I hope you are doing well Margaret! I thought at 24 I am too late to get back to Math as a career after being a software developer for 3 years, now I want to go back to school to study Math again!
Your comment motivates me a lot, thank you! Wish you all the best!
I salute you, fellow traveler! At age 52, I went back to mixed martial arts, calculus, and economics [already two years into that]. Currently 53, and feel like I'm on the right track. Also love Michel van Biezen's channel for math.
Hi, I am an Indian with a Post Graduate Degree in Physics. but I would not say calculus is something i truly understood. I recently decided to do a masters in Astrophysics so that i can live my dream life. I am writing this 6 months before the start of the course. I am currently recalling and refreshing all of the calculus. I looked at many videos on TH-cam, but none of it came any close to how you teach. If you are reading this Professor, I would like to let you know that I am extremely grateful that TH-cam suggested me your video. You are one of the best teachers from whom I have gained knowledge. Thank you so much, you make the world a better place just by being in it.
❤❤❤❤ love from nagpur
Hey! It's been 6 months! How did the review go? Do you feel excited and prepared to start your class?
The Force is strong with this one. His passion is teaching and it clearly shows through his lessons. Keep up the great work.
his passion for working out also shows in those ARMS YASSSSSSS
@@karan_karan_karan lmao
thanks for bringing me back to this, omg his arms are so big. also this class traumatized me i literally have ptsd omg esp when he showed that trig graph thing@@volcanogamer6758
Twenty minutes of this video was more productive than two weeks of class with my current professor. Professor Leonard is the best.
Dude, I don't think I've ever spent over an hour watching a Math video. I don't even think I've watched a TH-cam video over an hour long.
I've been struggling with trig since grade 10. After going back to university after 6 years out of high school, you have finally been the one person who's been able to teach me trig. Amazing video.
You just made me sign in, Professor. Thank God, you exist. Really Really helpful every maths professor should take classes from you on how to teach Calculus.
*sine in
"You can't just teach an entire trigonometry course in 1 hour and 20 minutes"
Professor Leonard: hold my beer.
it is not an entire trig course. he skips a lot of stuff that khan academy refresher on trig covers.
@@TheSpasmer I know what you mean. I was just trying to make a joke.
ı think ''hold my protein shake'' more appropirate for his muscles hahaha
more like hold my dumbbell!!
So true :V
Man, after struggling through the Khan Academy Calc AB, this video is a breath of fresh air.
I hadnt realized how much trig id forgotten, and the K.A. course didnt build in a recap like this, which wouldve been incredibly helpful
I never thought it's possible to learn all the basic trigonometry in just 80 minutes, that too at a much relaxed pace. Your lectures are just amazing.
it should be mandatory for every college to have a professor leonard
just imagined a bunch of cloned professor leonards in one room getting ready for assignment
This is a good professor; mostly straight to the point, with a little humor
After watching this video, I realize now why I I failed calculus and why the teacher I had shouldn't be teaching. What a difference someone can make
😂😂😂💔it was late
I don't know why but there is this strange way of teaching where teachers present the concepts in really twisted way so when you actually sort it out in your head it stays there because you've put the effort in understanding this. Not quite productive in my eyes.
I just started Calculus this week and a big thank you to Professor Leonard. I wouldn't be able to do it without your videos.
I'm so glad I took a trig class in college even though I wasn't required to. My classmates who hadn't had trig since high school were always struggling with trig questions in calculus. Plus it's just a beautiful topic that connects so many concepts.
I love this guy! He speaks to you just like your buddy would, makes it much more engaging and easier to learn.
I just want to thank you Professor. I am taking an online course because in sales I don't have time to do a normal class. I am struggling with the written information given by the class, and your recordings have been such a help. Not only have I been able to learn faster and more thoroughly, but I have studied many many hours on other resources to help me understand and with your videos I have connected a lot of dots that I had learned and learned them faster with you. So again, thank you!
"Do you understand this? Nod your head or something. You can't just look at me."
Me, watching this on my laptop: *Nods head*
Me
Professor Leonard + Khan Academy= Success. Great Job Prof. Leonard!
More like Professor Leonard + Organic Chem Tutor = Success
*PS: Organic Chem Tutor teaches better than Khan Academy
Thanks for uploading these lectures. I haven't taken calculus in about 3 or 4 years now so it's a good refresher.
1:09:24 That's exactly the sort of idea I had in my mind about subtracting to shift forward
No one ever bothers to explain this
Thanks for the excellent lecture
Who else is learning calculus during coronavirus lockdown?
I have no choice because the chem teacher didn't curve the ACS final. Need an A in calculus to make a long story short. lol
Already took calc 1. Watching this series to refresh my memory before calc 2 in the fall!
@@shaniceshipp8677 the struggle is real ,here i
going to take calc...trying to get ahead this summer so I struggle less during the semester.
Failed my sem 1 calc, going to retake this during my senior year lol
Changed my Econ degree to include a quantitative emphasis so I have to go back and take trig. I’m so thankful you uploaded this lecture!!!
That's a smart move. I'm an accounting student, and I've noticed a lot of math illiteracy in the students (myself included) and in how business subjects are taught.
Everything can be quantified and thus quantitative analysis lies at the heart of solving life's problems. It drives me absolutely nuts when a professor tells us to evaluate the risk of something, but doesn't give us any guidance on how to do it using statistical methods. We're just supposed to look at financial statements and compare common-size figures. To the extent these skills aren't necessary given the format of the course this is really a personal problem. Nonetheless in the professional world failure to use quantitative methods can have tangible and material consequences; not teaching this stuff in school produces professionals w/ extremely limited scope w/ respect to their skills. Qualitative evaluation is a proxy for quantitative analysis when the latter is impractical. In fact the only class I've failed thus far is Economics of Growth & Development, and it's b/c the entire class was writing papers about World Bank data, w/out actually analyzing the data in a meaningful way.
Bit of unsolicited advice: if you have the time you shouldn't stop @ trig. Go on to calculus 1, 2, and stats (and maybe calc 3). People I know in math and engineering generally say you should learn calc 1 and 2 before stats; as I see it stats is the minimum level of math you need to understand economic phenomena. Technically you can learn Stats using algebraic foundation but you're limited in what you can do.
Johnny boi Supreme Thank you for your input and advice! I agree, much of the business world is quantifiable if we can record and analyze the data. Luckily, I will get a TON of math under my belt before graduation: Calc 1, 2 and 3 (multivariable/vector); Stats 1 & 2, Computational Stats, and Linear Algebra. Honestly, I never considered myself a “math” person so the fact that I’ve gotten almost all A’s up until this point sometimes baffles me. Lol. I here the Calc 2 course is pretty hard at my school so wish me luck!
trig isn't bad. The only issue is that there is no multiple choice. Dependent on the faculty staff member. Take a hybrid class if you can.
I jumped into a Calc course for this summer and the teacher is just flying. Your videos are saving my butt. Thank you
I just have to say this. While I'm watching these Calculus lecture videos, there's an Old Spice commercial that starts with "Limits: Do they exist, or is it just a made-up word to crush our dreams?"
lmao. I just seen the commercial and thought the same thing!
you are actually a legend, I dont know how i would do math without you. Keep up the great work.
I'm self-studying for Calc now and I have to say, you're voice is just so smoothing. lol
Have you forgotten and stopped yet?
Very good teaching, you aren't a bland boring professor, literally I stayed through the entire (2) lectures. Very good work and keep it up!
I spent all of precalculus highly confused on trig graphs; i dreaded this video because i was afraid it wouldn't make sense. But now they seem really easy! Great video.
I wish you had a whole playlist of trig... would be so helpful :(
khan academy has. check out saul
Coming soon...
@@franciseylim11 I’m taking notes on Calculus 2 now... I’ve improved a lot since then!
@@roadchewerpe5759 i'm now looking for a professor Leonard Trig Playlist :( funny how the cycle is never ending when there is a good math teacher
@@NemoTheGlover I think his College Algebra playlist will essentially be half trig... not sure though. It’s still being added to each week or so.
Damn. You really know how to teach. Thank you so much for posting these videos, you are so clear and go at a perfect pace.
47:36 a very solid transition
Prof. can u please come to Germany teach here i beg you, my prof. in hochschule rheinwaal are crazy as hell when we dont understand and ask questions they insult us then as a foreign student we never able to ask even 2nd time in our life..you are the best maths Prof. i have ever got :( ...before i want to start any topic i look your video and then i go through my calculus by james..my all good prayrs for you ..i am really honor to have you and and your contribution at you tube without you i am doomed at maths
That's really stupid to treat the future of a nation with such disrespect.
I am so thankful that I can get a preview of calculus so I am not that pressured about it in next semester
Thank you so much keep doing what you are doing you are helping so many people!
At 23:38 He says "Go in your book and read through... aroung page 30.....", Which book is he talking about please?
Prof. Leonard, you're a great teacher, and apparently I'm not the only one who thinks so... Thanks for these videos.
Regarding the 4 quadrant trig signs, I've always used CAST counter-clockwise from quadrant IV, but since you asked, here are a dozen new mnemonics I've invented...
(You can think of the first as being from "Alice In Wonderland"; Alice talks to her pet cat when she's awake and to the Cheshire cat when she's in her dream. Also, # 6 isn't a reference to anything in particular, but it works very nicely with # 7. The rest I think are fairly obvious...)
1- Alice Speaks To Cats
2- Argument: Silly Talking Competition
3- A Sweet Tooth? Cavities!
4- Always Smoking Tobacco? Cancer!
5- Aphrodite Says Take Chocolate
6- Auntie Spanks The Child
7- Aspirin Stops The Crying
8- Apes Similar To Chimps
9- Actors Seek Television Commercials
10- Acceleration Speeds Toward c
11- Aquaman Saves The Cephalopods
12- Achilles Says Turtle Cheated
A stellar thread created!
Acute stupidity? Try cheating
Adam said 'that's crunchy'
lol
After Sex Throw Condom
Add Sugar To Coffee
Franc Blak i
Good I found your classes here on TH-cam. Absolute joy to spend time on them
Best trigonometry review out there.Thorough and you don't over complicate it.Thanks Prof.
Thank you, doctor, for the beautiful explanation. I follow you from Iraq, from the Arab world
What is the purpose of following this professor?? What is its content??
please could you put a link to download the book you were talking about ?
You're so good. As an aspiring math teacher I appreciate your modelling. And I'm learning trig!
For the abstract thinkers, one radian inside a circle creates an arc length equal to the radius of the circle.
For example, if you have a circle with a one inch radius, one radian will create an angle from the center to the edges of the circle, and the arc length of the circle, between the lines of the radian, will equal exactly one inch.
I would have thrown out my trig notebook, but teacher said, "Keep your notebooks if you are taking Calculus Next year!" She said it so much I thought she was stuck on repeat. I'm glad I listened to her and kept it.
Damn, i wanted to go home an hour ago but his videos are too good! I'm staying in the library all night
i could have used a trig course done by you... it is the only class that you don't have videos for and it is the only one that i had to take twice. I have missed you for the last year. lol
Angles that have the same denominator all have the same trig function values (for instance, 30 which is pi over 6 and all other angles with 6 in the denominator have the same values and so do the angles with 4 the reference angle for those is 45 and the reference angle for angles over 3 is 60) You now don't have to graph or find a reference angle just use ASTC right away :)
Thanks for these great videos. I am studying through correspondence and do not have the "opportunity" to have tutorship. Reading the study guides can really be confusing and this has elucidated a lot of my confusion.
One of the best math videos ever! Def taught that very well.
Awesome I have been always never understand what math is about and I used to fail in high school math…..but now I’m taking international economics bad luck I have to take math class again….it’s seems like I’m starting from scratch…so this teaching pace is gentle and clear better than during my A level math class at least now I know definitions of sin , cos etc
I'll be watching a lot of your videos Mr. Leonard, thanks for all of your contributions.
I'm so glad you explained the C over B. I'm in MAT 172 and was not sure on that one and I'm so happy I get it now.
and I am only finding your channel 3 days before my final exam, thankyou so much sir
I generally use Tau instead of Pi, since the number of Tau immediately gives you the number of periods.
For example, 1 Tau is 1 period, 0.5 Tau is 0.5 periods, and in general X Tau is X periods.
This also eliminates the need to memorise angles.
SOH CAH TOA = some old hippie caught another hippie trippin on acid
cannot unread, thx for unlearning me back to counting with my toes
This made me laugh. Thanks
I'd like to like your comment but its so glorious as it is
The comment about learning math in summer school really hit home. I am doing that right now and that is why I'm here. My professor has not posted a single lecture (online course) and I was suggested to come here. You are helping me understand math during one of the worst classes I have taken lol. Thank you :)
This professor moves along very quick !!! Blistering pace indeed.
its supposed to be review of precalculus which is the class before this one, thats why
This is an AWESOME trig review video for everyone, even people who aren't taking calc! Good job, Leonard! :)
i am watching these videos for my CA course.. they are too good... you are great dude
This class is amazing. Its goes so well with the 8th edition of Stewart's calc textbook.
Hi, does it really follow the stewart calculus tb? if so, i need to know till which video from the playlist should i watch to complete till the section 3.6 (Derivatives of Logarithmic and Inverse Trigonometric Functions) from the textbook?
ITS URGENT PLEASE DONT IGNORE, I HAVE a midterm in 2 days and i'm extremely stressed
Thanks in advance
@@user-kv4xq4st6r How was your midterm? hope u passed
Your videos are really awesome. Though I am only 14, I digest a lot of information out of your videos. Thank you!
I wish I was in this class because I would be raising my hand where he asked "Are we okay with this?"
I understood everything else except the reference angles. Most of the other things were intuitive.
buradaydım. thanks professor! 10.27.24
So COVID-19 has taken me out of my high school trig class. I don’t know what I’m doing with these assignments, so now I’m watching calculus videos to figure it out. How did it come to this?
Don't worry, if you legit wanted to learn cal 2, and cal 3 you would of found professor Leonard anyways. Get used to it, college is essentially you paying for a degree while you learn from youtube
@33:10 2pi - theta is just negative theta. Which means you dont have to do anything, because the angle would already be negative.
Prof, I am a math teacher for 12 years but I must confess you're the best. Please just a favor, can we have your notes or handout? Please.
W + Based + Chad Professor, literally carrying me in University, you deserve the world.
sir,this is excellent way of teaching mathematics.
Great teacher, i am learning all the time from you.
Absolutely fabulous teaching skills! I think I know what the hangup is at about point 42:00. The students have just measured 5/3 pi from the point (1,0) counterclockwise, and now you are asking them to change references, by measuring that angle from the positive x axis, clockwise. You sort of have to change which direction and numbering system you are using at that point. I got stuck on that for a minute.
Professor gotta share his training program as well. Awesome work though.
You are awesome sir.. Tnx for making math lovely like it should be. Tnx for the help.
thanks prof. leonard
once again, you saved me time, energy and headaches.
greetings from the Netherlands
Greatest presentation i ever sawed. Best regards from Cluj Napoca!
Thank you so much, professor. That was a great refresher.
a wonderful place to be......thanks for your great effort...well appreciated!.....
Thanks JACKED Prof.
Your lectures are just perfect
thankyou so much for this Professor Leonard!!! you are truly the best!!!
Chief Cho-Sha-Cao is always one-upping Chief Soh-Cah-Toa
hey. i have been following your calculus lessons. thanks alot they have helped me alot
really i love u man for this all video.u are the best teacher i ever seen.
I made the speed 2 with subtitles and finished them in a day before the exam.And you know what? I can still understand them clearly.
Çünkü adam harbiden iyi
This professor is saving lives.🗿
This is so helpful! I have never been good with trig, but this is sticking like GLUE!!
For remembering trig functions I use: Should Old Harry, Catch a Herring, Trawling Off America. If you are a Scot you might like to use Aberdeen instead of America.
When I learned math in my french school my teachers always said SOHCAHTOA. Which is easy to remember.
i will finish this playlist in 3 days. You are amazing, I thank God you exist, truly. I will come back to this comment after 3 days and say I MADE IT.
i completed 18 videos. Rest in progress.
Dear Professor Leonard (and any other boffin who may see this ;) )
P.S. Prof: I'm sorry about spamming these on your videos. I'm just in desperate need of help. I understand if you can't provide it personally - you seemingly have a lot on your plate as is! However, I am hopeful that at least somebody knows how to get around this.
I am studying a Calculus I course at my university, but the work is wayyy more rigorous than how it is laid out in the textbook, or even how it is on the internet. Professor Leonard has helped me a lot in getting me to understand the basics and my marks have gone up by 5-10% ever since. But I still can't understand some concepts in the calculus context. (ie. Triangle inequality, bijection, invertible, and many others). For a better idea of what I am complaining about, here is a OneDrive link with my previous homework assignments: @t
Thank you so much for anyone who may help me! Also, thank you to Professor Leonard for giving the motivation and confidence to see that I can get around this huge obstacle. I may not be around it yet, but you have at least given me the confidence and have picked me up when I was down
Jus saying, using τ makes all of this radian conversion business much more trivial, as it is just angle/360. And converting to degrees, same business multiply by τ/360 (i.e. multiply numerator's number by 360/denominator).
For example, 30° = 30τ/360° which simplifies to τ/12. That is to say, your angle is 1/12 of one full rotation, making graphing is also trivial (just divide the circle in however many parts the denominator is by whichever metgod you like). Using τ also means that the fraction multiplyng τ is always less than 1 if the angle is less than a full rotation i.e. 360°, and greater than 1 if it is more than one full rotation. Things couldn't be more intuitive and easier than this.
It is 2:15am and I got work tmrw, I am experimenting in things that put me to sleep fast like pod casts or music. Today's variable is a maths lecture, as I fall assleep in a lot of math lessons
Lol we had to memorize the unit circle last year in 10th grade. Kind of weird at first seeing him going the extra step of finding the R.A., but very nice to see it in a different way.
Thank you so much Professor Leonard! You are so helpful!
im taking a Trigonometry class and thank you so much Professor Leonard! your video is so helpful and this gave me understanding on how to perform certain task!
Professor Leonard is the ultimate math teacher!!
I wonder how is his students doing now in 2019? I mean having to know math on a teacher like this makes you absorb more information than the normal students on a normal teacher. If this is thought in 4th year high school, I wonder if the students already graduated with nice jobs 7 years later. Well I graduated in 2013 from college, I haven't graduated on a 4 year university yet, but if I had this teacher I might have more confidence.
Which website did yiu talk about, for homework?
At around 12:00 I think you put theta in the wrong place. because 4pi/3 is 240'
I am from Africa, Sierra Leone. I want am loving it here. Few days to my waec.
the shirt transition was cool btw
Thank you Professor. But I dont understand how the function graph cancels at pi ?! We know that cos (pi) is always equal to -1. Can you or anyone expalin please?
Can you help me @ 23:35 you mention to memorize "COMMON ANGLES". I don't understand the examples you mentioned like, "COS pi/3" and "SIN pi/4". I searched all over TH-cam for these questions and couldn't find anything. I understand and I'm going crazy trying to find out lol. I literally spent the last two days watching videos on this and I couldn't find anything. I studied the unit circle, I understand the ratios of the trig functions, etc. but I don't know the answer to these common angle questions. Any help from anyone would greatly be appreciated. Thank you
do not** understand
imgur.com/a/MKQoZyR These are the common angles and their values for all the trig functions, they're VERY important to memorise if your school doesn't let you bring little cheat notes for exams, sorry for the late response
Dimitar Cvetanoski Thank you so much! 😃
No problem :)
they're common trig.identities you will need to remember in case you're not allowed to use a calculator for an exam. best to just remember them.