Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula

/ professorleonard
Calculus 1 Lecture 0.1: Lines, Angle of Inclination, and the Distance Formula

[@EagleLogic]

Not everyday you see a jacked calculus professor

[@paulmaybery7340]

EagleLogic w6

[@josephvanderhoven9967]

You beat me to the punch by two years.

[@RustlessPotato]

@Just-Passing-Through 11 you beat me by 3 weeks

[@BangMaster96]

@@RustlessPotato You beat me by being born

[@clintwestwood4545]

@@BangMaster96 my dad beat me as soon as i was born

[@dadasut50]

in my religion they say when a man dies he has only three things left to be remembered by : 1) his good deeds . 2) a well raised child 3) the knowledge he left that continues to help others and you sir will live forever for every one you taught .thanks to you i have almost finished my engineering degree and no one ever taught me mathematics like you did .everything i will ever achieve in my life is because of you

[@Salehalanazi-7]

ahmed ibrahim KFUPM?

[@suhassamdeshi5691]

u better get down there and meet him in person to show ur gratitude and he will definitely be touched by that! we rarely have good teachers nowadays.

[@mr818toom]

what is your religion

[@imtjrao]

I believe he meant not to directly sound like a preacher but as a Muslim I believe it is Islam. The exact quote (translated into English) by Muhammad SAW is "When a man dies, his acts come to an end, but three, recurring charity, or knowledge (by which people) benefit, or a pious son, who prays for him (for the deceased)". In another source it is "When a man dies, his deeds come to an end, except for three: A continuous charity, knowledge by which people derive benefit, pious son who prays for him." Thanks.

[@imtjrao]

Where is this gentleman working? I would thank him personally too.

[@Liam_theX]

Bro, the fact that this video is 11 years old and yet I’m still watching it for help in calculus truly shows how helpful this man is and what a good, easy to understand teacher he is! Thank you so much Professor Leonard!

[@Hymandois]

I know exactly what you mean

[@CastledMallard]

big facts! taking calc rn and i would have died without this man. he is a blessing from God!

[@tribalpanda-ik7sp]

I have my calculus cat in two days time😂and truth be told he is really helping me out

[@chiensyang]

I just show these videos to my AP calculus students while I watch Netflix on my laptop. Therefore, the school winds up just paying me to give and grade homeworks, tests and finals. 🤫🤫🤫

[@pugsley201]

Math…math never changes

[@forrestkennedy5458]

To everyone just starting their epic journey with prof Leonard: You are making a great decision by watching these videos. I started my journey with calculus almost 3 years ago, and prof. leonard's videos are beyond wonderful. I just received my final in calculus 3, and I got an A! When I started this series, I didn't know if I could do it, but Prof. Leonard proved to me that I could not only pass calculus but thrive in calculus. Now, I am just finishing up my freshman year of college having received Ain all three calculus classes and am pursuing my dream of becoming a physicist, and I have never been more confident in my life. If I can do it, so can you. Professor Leonard and I believe in you!

[@shetheyithe8894]

Either am I can do and understand it. I hope I make right decision,

[@deananderson7714]

How’s college going?

[@baltai3123]

Thx mate. I hope, I can come back and write a comment like you

[@kronoxodusktc4011]

@@Tmacculate-zi2so what is bro yapping about?!

[@cubby091398]

I am reviewing. I took Calculus III a few years back and had an 89.6%. He rounded it to 90% so I got an A.

[@MandyDrex]

I don't know if you still check comments but I wanted to thank you for all of your videos. Since finding your channel my son's entire Calc. 3 class are watching your videos, I'm using your Calc 1 videos, and my 11 year old daughter watches your Algebra videos. I wish more math teachers taught with your enthusiasm and humor. Thank you so much for making these videos available to all!

[@ProfessorLeonard]

You're very welcome!! That's what its for :)

[@shetheyithe8894]

@@ProfessorLeonard Thanks you so much. Now I can understand all of those lectures that you've showed me In almost 50 mins. You was just teaching about 2 subject problems of math. Find 2 coordinators of (x1,x2) and (y1,y2) And second one is about (x1,y1) and an equation of the graph. Your videos are very helpful for me. You're explanations are very comfortable to me. It helped my brain can easily to collect it in the simply way.

[@cristhiangarcia5991]

As a 35-year-old going back to school, I want to thank you from the bottom of my heart.

[@irvlazaro7302]

35 isn't old, when your 50, you will look back and say damn good thing I started at 35.

[@brandonclay6572]

Yup. 48 here…

[@actj700]

I just turned 35 and starting my second Bachelors. I thought I was the only one!

[@shaunmike]

Inspiring me to relearn calculus and exercise, bravo.

[@getodog5894]

This comment made me laugh harder then I should of.

[@shivanshusharma7741]

Lol...r u professor or gym trainer?

[@backtoafrica895]

Just wanted to say THANK YOU. Watch all your video and Clep CALCULUS , Intermediate algebra and am working now on statistic. just tell us How we can contribute to your work. Universities make us pay more and cannot even explain 1/4 of you explanation. THANK YOU

[@ProfessorLeonard]

Ben Ti Hello Ben! You are very welcome, and I am pleased that you find my explanations useful. If you so desire, you may contribute to the channel by visiting the channel home page and clicking on the support button on the right side of the screen. Thank you so much for your encouraging words!

[@mohamedalaa1669]

+Professor Leonard I just wanna say the same as Ben said ... thanks so much

[@mohamedalaa1669]

+Professor Leonard I just wanna say the same as Ben said ... thanks so much ..... you concentrate on basics and we all miss that important point and I like the way you teach ... so thanks

[@Kbaf4]

+Ben Ti How did Clep Calc go? Was it hard? I'm going to be taking it soon myself.

[@backtoafrica895]

+Kbaf4 the secret is do a lot of example. I had 1.23 min for each question. so you have to practice a lot so on the exam you don't have to think about what method to use. the exam by himself is not difficult. Proof Leonard explain every single example that will come on the test. I got A in statistic, and B in calculus.

[@josha4969]

COMPLETE CALC 1 with 13-Day Guide. (4-8 hours a day) Day One 0.1 - 50 min (Lines, Angle of Inclination, and the Distance Formula) 0.2 - 1 hr 40 min (Calculus 1 Lecture 0.2: Introduction to Functions) 0.3 - 1 hr 20 min (Review of Trigonometry and Graphing Trigonometric Functions) 0.4 - 16 min (Combining and Composition of Functions) Day Two 1.1 - 1 hr 30 min (An Introduction to Limits) 1.2 - 3 hr (Properties of Limits. Techniques of Limit Computation) Day Three 1.4 - 1 hr 30 min (Continuity of Functions) 1.5 - 1 hr (Slope of a Curve, Velocity, and Rates of Change) Day Four 2.1 - 1hr 16 min (Introduction to the Derivative of a Function) 2.2 - 1hr 12 min (Techniques of Differentiation (Finding Derivatives of Functions Easily)) 2.3 - 1hr (The Product and Quotient Rules for Derivatives of Functions) Day Five 2.4 - 40 min (Applications of the Derivative) 2.5 - 50 min (Finding Derivatives of Trigonometric Functions) 2.6 - 1hr 35 min (Discussion of the Chain Rule for Derivatives of Functions) Day Six 2.7 - 1 hr 10 min (Implicit Differentiation) 2.8 - 55 min (Related Rates) 3.1 - 1hr 35 min (Increasing/Decreasing and Concavity of Functions) Day Seven 3.2 - 7 min (A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.) 3.3 - 26 min (The First Derivative Test for Increasing and Decreasing) 3.4 - 37 min (The Second Derivative Test for Concavity of Functions) Day Eight 3.5 - 1hr 24 min (Limits of Functions at Infinity) 3.6 - 1hr 33 min (How to Sketch Graphs of Functions) 3.7 - 1hr 35 min (Optimization; Max/Min Application Problems) Day Nine 4.1 - 2hr 45 min (An Introduction to the Indefinite Integral) 4.2 - 1hr 34 min (Integration by Substitution) Day Ten 4.3 - 2hr 10 min (Area Under a Curve, Limit Approach, Riemann Sums) 4.4 - 30 min (The Evaluation of Definite Integrals) Day Eleven 4.5 - 2 hr 45 min (The Fundamental Theorem of Calculus) 5.1 - 1hr 34 min (Finding Area Between Two Curves) Day Twelve 5.2 - 2hr 50 min (Volume of Solids By Disks and Washers Method) Day Thirteen 5.3 - 55 min (Volume of Solids By Cylindrical Shells Method) 5.4 - 2hr 20 min (Finding the Length of a Curve on a Plane)

[@shayanali8771]

Thank you so much

[@TemplarX2001]

Legend

[@urmemlel8721]

I love you bro

[@spartacusche]

you did not do the exercises? or problem set?

[@josha4969]

@@spartacusche Recommended time is 4-8 hours a day, the lecture videos are only 3-4 hours long, the rest of the time would be practice problems. Good luck!

[@markmotarker]

his biceps are distracting lmao

[@lilpump2183]

omg I thought I was the only one

[@lilpump2183]

Mine are small xD

[@papasodipops9992]

j

[@channelhismojo]

+markmotarker I couldn't go to his class without beating off prior. I just wouldn't be able to concentrate.

[@markmotarker]

don't worry, you get used to it.

[@ic_db]

اذوب اني اذوب

[@Fuck_mylife.]

🤣🤣🤣🤣🤣🤣🤣

[@fat_1234]

ها ولج

[@topster888]

...Clark Kent?

[@my-crazy-fantastic-fanatic]

topster888 - You've voiced my first impression out loud!

[@Peter_1986]

His profile picture is perfect. xD

[@mognokhan1701]

Exactly what I've been thinking xD

[@ganymeade5151]

His looks are straight from central casting as they say in the business. He has a great voice also. He is all math. Very professional.

[@ramaae4776]

Shhhhh i was studying now i am laughing 😂

[@غزواننفيصل]

العراق خبصوني بل تك توك عليك وتاليه ولا عربي موجود 😂🤦🏽‍♂️

[@انورباسم-م7ظ]

اي ولله 😂😂😅

[@RONALDO_1985R]

يي بلعباس حت اني 😂

[@user-le9pu5nr6d]

ليش😂

[@plopsan]

Im gonna try for the second time (and last time, I only get two tries) to pass Calculus 1 next year, I failed the first time so wish me luck guys. This major is important to me, because it’s my life challenge, my “I can do it as well” moment, especially as someone who’s been struggling with math, dyslexia and attention my whole life. I’ve unfortunately always been one of the worst ones in math, and been extremely slow as well, when my friends finished an exercise, I was always three exercises behind... Even if I don’t pass, I want to thank Professor Leonard because thanks to you, I’ve understood key concepts that I would’ve never understood otherwise.

[@Helly04]

First of all, I wish you good luck for your math journey. All the best. You can . I will pray for you. ❤ Good luck man. At least you are trying. Keep trying and be consistent. Well my story is the same as yours . I am very weak at maths 😢😢 and l m just wandering here don't know why l want to learn but my basics are too poor. Anyhow trying to gather the strength to start and prove myself.😢❤

[@plopsan]

@@Helly04 Thanks man, I bet you can do it as well!! I've been watching the full 110 pre calculus videos from the Prof. Leonard and taking a ton of notes, if you have the time for it I would rly recommend you do the same because I'm finding it very useful to strengthen the basics. My objective is to watch the following videos from the professor: 120 videos of pre calculus, 30 videos of calc 1 and start the calc 2 videos before starting my semester in September (so in 2 months).

[@Otatoes]

How's ur prep going?

[@plopsan]

Slow. My objective was to make the best notes possible, so I wouldn't lose time during the semester. I produced 20 pages of very high quality notes, but I had not anticipated that it would take so long. Mostly, I try my best to understand the subject first, and then put it in words that I think will make me understand the subject right away when reading it. It takes me around 4-5x the length of a video to have good notes on it. It's extremely time consuming. I also often went back to previous notes to repage them, add or move content when reading them again and realizing they could be improved. Another thing I had not anticipated is how busy I would be even by having all my days free, because I ended up doing many things I didn't have the time to do during the year. I go to the gym most of the days of the week and that takes me around 2-3h per day because it's far away. And on top of that I'm on vacation for 2.5 weeks and can't work on my maths. I'm didn't give up, but I have my doubts on wherever that will be enough, but regardless I'll keep working on my notes during the semester as well.

[@fat_1234]

لا بس اجيت اشوف الرياضيات

[@mwip57]

I have passed calculus at a major research university and knew that slope-intercept is y=mx+b but not why until I watched this video. Truly great teaching

[@baltai3123]

My goal is to finish calc 1 and 2 within 2 months. Currently it is 07.08.2024 and my goal is to finish it on 07.09.2024. I'm writing this here to put some pressure on me.

[@yakisoba9013]

Let's do it

[@aruthememelord]

u got this. Same plan for me but 6 months

[@kennymetz187]

Professor Leonard, Hello, I am a senior at Temple University in the fox school of business. I sincerely want to thank you so much for making these videos and providing them for free to the public. My math professors here have all been incredibly intelligent, but i have really struggled with the material. I love math, but i'm just not very good at it, or so I thought. While watching your videos something just clicked and its all seems to be starting to fall into place. Now that's not to say that the material is easy by any means, but I now feel like I actually have a chance in learning it. You have a way of explaining things that makes me now able to visualize conceptually. Also, what I think really makes you stand out the most to me is how you actually give a background and explain the concepts of the theory. Many professors merely write a problem on the board and say," Here's how to solve. Any questions (three second pause) Good, moving on!" I have my first exam in seven days and thanks to you i now believe that i actually have a chance of not only passing, but might actually get a good grade. Please forgive the length, but the reason I am taking the time to write this to you is just to let you know how great of a teacher that you are.

[@ProfessorLeonard]

Best of luck on your first test Kenny!! I'm glad things are making sense :)

[@sleuth1521]

You wrote it as if it is a fckin letter

[@jerkpork4058]

@@sleuth1521 lol

[@HelluvaAnt]

@@sleuth1521 rofl XD

[@alanx4121]

@@sleuth1521 They should put back writing letters in the school curriculum.

[@prim16]

I came for the Calculus. I stayed for the professor. 😍

[@vladusa]

Weirdo

[@iamsupriyo]

you naughty naughty

[@chococat1313]

i already passed calc with a 97% but i watch anyway for those biceps

[@omarkyon1933]

+katie cook lol wth,

[@ArielVolovik]

I have calculus in 2 years, just readying up haha, did he help a lot?

[@omarkyon1933]

Ariel Volovik he's a great teacher but her comment made me laugh. I know women who watch baseball for the guy's butts but this..haha lol.

[@AlchemistOfNirnroot]

Random errors, they creep into calculations easier than you think.

[@hanisingh3369]

katie cook hye

[@mc9960]

I had to come back here to say thank you for my civil engineering degree. I couldn't have got it without your help!

[@shetheyithe8894]

I am learning about enigneering too.

[@jestfullgremblim8002]

Woah

[@alijoyce2169]

I love the way he teaches. He lets his students think and do it themselves. Our teacher just re-teaches himself...

[@vantx7]

استاذ كمل صح كلامك رغم ماافهم انكليزي بس اهم شي عضلاتك اقصد شرحك

[@انورباسم-م7ظ]

😂😂😂😂😂😂😂😂😂😅

[@user-le9pu5nr6d]

😂😂😂😅

[@fitfuelplanner]

Love how you made this so understandable! I'm majoring in Computer Science and I'm coding and doing your classes online so I can be prepared. Thanks so much Professor! :)

[@richardpfeynman4526]

Steven Garcia Cryptography

[@منيمني-ي5س]

etiohpa

[@منيمني-ي5س]

etiohpa

[@iLoveTurtlesHaha]

I'm in the same boat as you. XD Came here because my Calculus prof can't teach and doesn't know English. I am scared to death right now because he only uses caveman English and no one understands what he is saying. I don't know how a university can take our money and hire people without the basic communication skills. I'm not even exaggerating, I'm able to understand people with heavy accents, but this dude is just like one worders and constant pointing.

[@tracegoskssmsmm7933]

if the uni is more research based they really don't care how well the prof teaches they care how well he can contribute to their research, and it sucks bc they don't care about finding a teacher that can teach like this guy

[@katielove1394]

He teaches so well that sometimes I forget I am watching a video and I feel really silly when he says "show of hands" and I raise my own or when he asks a question and I answer. lol

[@jayceinfinitealgharhythmns9814]

i do the exact same thing.... it shows that you're really engaged with the presentation!

[@امنةمحمد-ظ1ح]

منو اجه من التيك توك😅😂

[@Fatma-f9r]

اني

[@7rk.l]

شكلي راح اعتمد على شرحك مبين حلو مثلك

[@2IITians]

When a Teacher becomes a performer he is adored by all students. Love from India. Also I will add that 9 years ago such a good videography was not easy!

[@shreyarora4739]

yep @2 IITians I am also an Indian and i admit the fact that he is really too good 😍😍😍😍

[@Chad-yl9yy]

00:00 Calculus review: Section 0.1 - Lines and Slopes 06:29 Learn how to find the equation of a line using fixed points and slope formula. 12:39 Learned how to graph a line using slope-intercept form 18:24 Learned about graphing lines and slope-intercept form 24:29 Finding equations of parallel and perpendicular lines 31:56 Angle of inclination and slope are related through tangent. 38:08 Finding slopes and angles using trigonometry 43:34 Trigonometry is important for success in calculus.

[@nsu3274]

i dont think im a straight guy anymore

[@ganymeade5151]

Yeah. He is very handsome. LOL

[@masterlaughter4924]

Felt that

[@karmellammy4773]

i got an erection after seeing a guy for the first time in my life

[@jacktaylor1516]

Man this is good stuff... When we get out of quarantine, we are gonna be some Calc BEASTS!!!! Who is with me?

[@عبودالحيدر-ث9س]

منو اجه من التيك توكك😂😭؟!

[@nebiltesema2068]

I will donate $1000000 to this channel on 1/1/27

[@Bruh-ov5db]

What textbook does this video follow

[@patlaird4188]

Funny part is when I was trying to learn this first trimester in college he was watching the teletubbies. And he would have done a better job. This guy is a great instructor. She sucked something awful

[@pangvang7572]

Wow.. He is teaching the very foundations of Calculus in less than an hour, when my university just skips it. It doesn't hurt to have this foundations review in one class bro ;-;

[@alexjohnnythelumb7579]

IT student here, I'm gonna have a Calculus 1 exam tomorrow and I've watched your course to prepare myself. Whether it's going to be good or bad, thank you for everything you shared here, you're amazing!

[@damndudethatsawesome]

How did you do on your exam?

[@Forde3654Eire]

38:27 "Alright uh, let me re-cap... did you get that?" Oh for God's sake! Haha! Great introduction Leonard, great teacher! My efforts in Calculus I and II failed me miserably... planning on retaking them over the summer semester. Really glad to get a nice fresh clean start with your videos here! You're the man!

[@mnonymous8694]

I know I probably don't deserve to watch this lecture because of my IQ, but I didn't get the joke :(

[@srsor5]

ها خالي منُ اجه من الأنستا 🗿🗿

[@g0urra]

Thanks Leonard, you're the best.

[@SayedLighto]

from Iraq? 👇

[@ahahahah5868]

Me😂😂

[@natalievidales2770]

I don't know if anyone has asked this question already but what textbook(s) do you use to teach on your Calc 1, 2, and 3 videos?

[@distheone9120]

Does anybody know the answer now ?

[@ImDaRealBoi]

11 years later, and I have to say that this aged really well. Loved your teaching style and involvement with the class, you even got me answering out loud. Thank you Professor Leonard, I'm going to try to do calculus over the summer and I think this will definitely help.

[@clinton15clinton15]

i swear if more math teachers looked like this guy i am certain more girls would take the class.

[@JasonWard79]

But boys aren't underrepresented in STEM so its not a 1:1 comparison.

[@JasonWard79]

I chose underrepresented on purpose, my friend. :)

[@ganymeade5151]

I would get an A grade for sure; and math is not my thing. LOL.

[@karmellammy4773]

and guys

[@migahigaofficial744]

@@karmellammy4773 u mean Gays

[@standsour8916]

Josh A 1 year ago COMPLETE CALC 1 with 12-Day Guide. (4-8 hours a day) Day One 0.1 - 50 min (Lines, Angle of Inclination, and the Distance Formula) 0.2 - 1 hr 40 min (Calculus 1 Lecture 0.2: Introduction to Functions) 0.3 - 1 hr 20 min (Review of Trigonometry and Graphing Trigonometric Functions) 0.4 - 16 min (Combining and Composition of Functions) Day Two 1.1 - 1 hr 30 min (An Introduction to Limits) 1.2 - 3 hr (Properties of Limits. Techniques of Limit Computation) Day Three 1.4 - 1 hr 30 min (Continuity of Functions) 1.5 - 1 hr (Slope of a Curve, Velocity, and Rates of Change) 2.1 - 1hr 16 min (Introduction to the Derivative of a Function) Day Four 2.2 - 1hr 12 min (Techniques of Differentiation (Finding Derivatives of Functions Easily)) 2.3 - 1hr (The Product and Quotient Rules for Derivatives of Functions) 2.4 - 40 min (Applications of the Derivative) Day Five 2.5 - 50 min (Finding Derivatives of Trigonometric Functions) 2.6 - 1hr 35 min (Discussion of the Chain Rule for Derivatives of Functions) 2.7 - 1 hr 10 min (Implicit Differentiation) Day Six 2.8 - 55 min (Related Rates) 3.1 - 1hr 35 min (Increasing/Decreasing and Concavity of Functions) 3.2 - 7 min (A BRIEF Discussion of Rolle's Theorem and Mean-Value Theorem.) 3.3 - 26 min (The First Derivative Test for Increasing and Decreasing) Day Seven 3.4 - 37 min (The Second Derivative Test for Concavity of Functions) 3.5 - 1hr 24 min (Limits of Functions at Infinity) 3.6 - 1hr 33 min (How to Sketch Graphs of Functions) Day Eight 3.7 - 1hr 35 min (Optimization; Max/Min Application Problems) 4.1 - 2hr 45 min (An Introduction to the Indefinite Integral) Day Nine 4.2 - 1hr 34 min (Integration by Substitution) 4.3 - 2hr 10 min (Area Under a Curve, Limit Approach, Riemann Sums) Day Ten 4.4 - 30 min (The Evaluation of Definite Integrals) 4.5 - 2 hr 45 min (The Fundamental Theorem of Calculus) Day Eleven 5.1 - 1hr 34 min (Finding Area Between Two Curves) 5.2 - 2hr 50 min (Volume of Solids By Disks and Washers Method) Day 12 5.3 - 55 min (Volume of Solids By Cylindrical Shells Method) 5.4 - 2hr 20 min (Finding the Length of a Curve on a Plane)

[@osama9501]

God i wish this was my professor

[@user-zn2xe8yq8r]

Could any tell me the name of the book that is being followed in this course?

[@marcidah7302]

I wish I discovered this 8 years ago. I would have got better math grades😭😭

[@Krishnasaini]

hi , arctan(-1) should be -pi/4 as range of arctan(x) is (-pi/2, pi/2). correct me if i am wrong

[@271skippy]

I was searching the comments to see if anyone had said that. Thank you for being here today 😊

[@MATHSMEGAMIND]

He did one push up for every question he got wrong to obtain those biceps .... so boys y'all know where to start lol

[@tinalittle1423]

Thanks Leonard you're the best😊💪

[@3phn]

اني العربي الوحيد😊

[@baseernikzad7209]

i would never pass without his lessons! What a great man he is!! I think he should also give lessons to other calculus teachers, because they all sucks badly!!

[@khadijahmohammed2214]

yaaaaaaassssss !!!!

[@letsgo-oe6qf]

that video is like 12 years ago i was like 4 when it came out and now after 12 freaking years i think i have a crush on that guy

[@simetrii76]

ayo chill

[@FwatimAbbas]

هل ممكن أن تترجم ذلك إلى اللغة العربية❤

[@gogos869]

I can’t believe I’m watching this! I’m 60 and always wanted to learn calculus. I was afraid of my math teachers in grade school and high school (had an overly critical father) He’s a good teacher. I understand so far!

[@Dmccumsey]

I just want to say thank you for these videos, I just recently passed my calculus class in 2 months, without taking pre-calc or trig before. And these videos had a huge part in that, thank you again

[@ayee1457]

This gives me hope!!! I haven’t take pre calc or trig either and I start on Monday. Haven’t taken a math class in a while either. So scared.

[@tiiimiakter2596]

Its My dream to be in your class Professor.... I Don't know how old are you now or are you still teaching but its a dream of mine to learn mathematics form you.....can i know Professor currently you are with which University

[@yasarkar34]

I am watching you from Türkiye. As a engineer student I can easily work Math thanks to you. Your student proud of you Professor.

[@eraysona7916]

aynen

[@nurselinaktas]

same here

[@sl-9837]

Been following this course and its very helpful, im so thankful Professor Are there any textbooks to follow tho?

[@happydappyman]

this dude looks like PC principle haha. great video

[@hypex101]

I know right, i thought the same

[@hypex101]

btw u PC bro?

[@happydappyman]

ya bruh PC state, so refreshing to find more PC bro's here! lol no not really.

[@DekuStickGamer]

+hypex101 YEH, I'M PC BRAH- YOU PC BRO?

[@dangiscongrataway2365]

+Ushikawa just sign she agreed bro check also for a contract of anal just so we PC bros won't be sued

[@RiteshWarale-ms4gn]

We got superman maths lecture before gta6

[@TikkyTakMoo]

22:16 - small error, you would get ¾ for x intercept, not four-thirds Really great review/lesson. I'm trying to scrutinize a new method of calculus comparing it to fundamental concepts and finding the crossovers. These are so useful. Thank you!!

[@gleon1602]

I just wanted to say that I understood everything he said. However, I'm a little shaky with memorizing my unit circle.

[@someunboxers9700]

Wth did he just do 15:40

[@behonudcs]

So he was explaining what each letter meant in the slope-intercept formula ( which is y = mx+b ). In the formula, m is the slope of the line and b is the y intercept ( means where the line intercepts the y axis ).

[@cadendavis4789]

In the first 15 minutes he has taught me more than my college calc prof has in the last week🤣

[@ademjaoski]

What I love about your videos is you teach everyone on the base level so everyone is on the same page before moving on while other teachers except you to already be on the same page which I mean I understand but when your in college there are people of different ages that might not be as familiar you never skip a step while other teachers do.

[@ant8457]

Are there problems with solutions that might accompany this course?

[@TheVillagewearhouse]

this gonna get me addicted to calculus.. Professor Leonard teaching like a god. nice stuff

[@AZO_MMO]

Hello i find it confusing at the answer at : 42:08. Why the answer is 135* and not -45* ? Since if i remember correctly, inverse of tan is ranged between -90 to 90 degree. While 135* is outside of its range. So i believe 135* isnt the actual answer, but -45* or -π/4 I mean yeah, tangent repeat itself after 180*, so 135 also correct. But still, 135 or 3π/4 its not in range. Can anyone explain?

[@Chcooler]

No

[@user-vv1do1wg1j]

use CAST and choose your quadrants, 45° is just the reference angle Quadrant 2 and 4 are negative for tan for Quadrant 2 180-45=135°

[@agentsmidt3209]

Aha! now I get it...after 11 years lol! I've always wondered why they call it the point slope formula....great professor.

[@salimbck2282]

Actually I am a first year student and I am taking the class ,everything is going right , how do the students in the video finde that not fun😅😅.

[@LFerrellMechEng]

This guy is a hell of a professor. I always found math extremely interesting, and originally wanted to make a career out of it. I've found throughout my life that I'm much better at applying complex mathematical concepts to real-world applications, so here I am, a mechanical engineer. As someone who's only watching these for a simple refresher. I really wish he would've been my Calc 1 instructor. Phenomenal teaching sir. you start simple with the basics and slowly work to the more complex problems. great pace, interactive with his students, and very knowledgeable.

[@pjshetty6441]

Where can I get access to the practice problems? Looked everywhere but couldn't find it. I think the practice problems would be very helpful in cementing what you learn from these amazing lectures.

[@7_d0c]

الي اجه من ali alnaser يطبك ويايه 😂 سادس دفعة 22 ♥️

[@bahaaaldeen5366]

هاي مال كليه تلحك عل ضيم

[@7_d0c]

@@bahaaaldeen5366 عادي اهم شي اخلص من ضيم السادس والضغط النفسي

[@bahaaaldeen5366]

@@7_d0c أن شاء الله تخلص ويتحقق حلمك

[@perspicacity89]

Superman in both brains and brawn. Absolutely gorgeous Chad.

[@perrypearce8185]

can i support ur work? i love ur videos it helped a lot

[@ProfessorLeonard]

Perry Zuokemepade Wow, thanks for the support! Yes you can. If you go to the channel page, there is a support button on the right side of the page a little way down. Enjoy the videos!

[@spyrex3988]

this guy the better superman

[@N1tTROxUMP45]

I am finishing calc 3 at university. When i took calc 1, I NEVER went to a class. Taught myself the whole course through these calc 1 videos by prof leo and aced the final!!! Just finished his calc 3 videos with a week to spare before my final and I can vouch that all his videos from calc 1 to cal 3 are legit af

[@N1tTROxUMP45]

@@aalekhrasal4246 lol didn’t expect a reply 3 years later but from the textbook and hw. You can also prob try googling stuff like: ‘calculus practice test - integration by parts’ but replace integration by parts with whatever chapter u want help in

[@EmpyreanLightASMR]

42:00 so I learned in another video that inverse functions have "restricted domains" (limitations). So inverse tangent can only be an angle between -90° and 90° (update: also -π/2 and π/2, same channel as source below) and in Quadrants 1 or 4. The guy in the class with the unit circle said 135° (3π/4), but even though Prof Leonard says "it's all the same" (and is indeed the same line), my understanding is this is actually an incorrect answer. Your options with inverse tan in this case is 135° (which is in quadrant 2, so it can't be used), 315° (quadrant 4, but outside of the 90° rule), so the only leftover is -45°. So the inverse tangent of -1 is -45°. (source: kzbin.info/www/bejne/jGako3WVfKt6j7M aka 58:30 in)

[@johnbush2556]

I enjoy Professor Leonard. Makes me see what I missed by going to class.

[@my-crazy-fantastic-fanatic]

Tbh, my teach covered the first 10 min. in 30 seconds flat, and _I didn't understand a thing._ It's been proved once again that KZbin saves our lives on any given day. 😉

[@Abbasoomro]

I am very to you sir I don't know about the definition of functions but I want to join mathematics field I got admission in Mathematics department at Sukkur IBA University Sindh, Pakistan. In first semester I got 90+ marks in calculus I because of you sir. You gave me a way to deal with mathematics and it's tools thanks alot sir

[@2nostromo]

I had this calibre of teachers all through school in the 60s-70s. Now many years later i understand how fortunate I was.

[@nneisler]

How many equations do you have to write on the board to get those guns?

[@abdullahinorisack1683]

Hi professor i am greeting from somalia i like the way you are teaching mathematics and i appriciate the work you are doing thanks

[@IbrahimMomar50]

While I reading the comments, I saw youf comment, and I am originally from Somalia, I am glad that Somali brothers are connected to this heroic man.

[@mihiryadav4589]

This is Leonard Hoffstader from BBT if he was a Chad

[@bartrudesill48]

Its almost heart breaking how sexy and smart he is

[@ganymeade5151]

He is movie star, leading man handsome with a great voice also. Some people were doing math over Holidays. I would learn math really well to impress this teacher. The scenery is very good.

[@violethill4454]

40:32 can somebody please explain to me why he inversed the tangent instead of using the multiplication property of equality?

[@vanchark]

mistake @ 22:20: x intercept should be at 3/4 overall good review video

[@SJ-co6nk]

First impression: "holy crap this math teacher is JACKED!"

[@10032june]

hello professor, I'm curious to know, what math book and edition is your lectures of calculus 1&2 based on?

[@SyedAllauddin-ox3yx]

Thomas' Calculus docs.google.com/document/d/1jUpMUszqu-glzB6KT3pqh8VAy3QUy7uZ3AmN5Lk7Dmw/edit complete course syllabus

[@unexpectedguest3734]

Bro's teaching us calculus in the backrooms

[@xvgreen8586]

Just started a new journey

[@i.i]

please continue you are the best we want laplas and more lectures about calculus #3

[@samae1Z]

31:48 Thanks Leonard you're the best!

[@randomanon1275]

i am planning to study calculus 1, 2 and 3 from his videos. can someone suggest some problemsets for practice?

[@rxpoe]

at 42:10 shouldn't arctan (-1) = -π/4 in Quad 4 (not 3π/4 in Quad 2)? I was taught that y = arctan x has a Domain for all Real numbers, but a Range only between π/2 and -π/2 (i.e. either Quad 1 or Quad 4 only). I tried looking through old comments and didn't see any comments about this. NOTE: Really like your lecture style. I'm learning a lot from you.

[@ProfessorLeonard]

Sure, that's a great thought. Now, I want you to think of it this way; we are translating Slope into Angle of Inclination. That line is going to traverse both Quad 2 and Quad 4. So, the angle of -pi/4 is correct....depends on how you look at it. If we are trying to find a Positive angle of Inclination, then we have to have 3pi/4. Either one gives the same slope of the same line.

[@tstreetmusic]

Thanks, I had the same question and your answer helped!

[@ValueYourTimeOnEarth]

is there two answers 315 deg and 135? Or is only 135 correct?

[@killthem9669]

@@ValueYourTimeOnEarth, yeah, both are correct. Sorry for late response but maybe it will be usefull for someone else.

[@nehashivolkar3664]

The book is: Calculus early transcendentals by Anton Bivens Davis

[@uzmahafeez5911]

Thomas' Calculus Early Transcendentals 13th Edition

[@tito7900]

Who else is here from imgur?

[@patrickhaley6766]

+Anupam Sarkar +1

[@biswarupchakraborty5608]

hey what's imgur??

[@yallsomehoes7018]

I am😆

[@yallsomehoes7018]

why tho? its a great app, your just a hater m8

[@dianas.7134]

me