Introduction to Solving Quadratics (Precalculus - College Algebra 16)

[@madebyyuzz]

What am I doing wasting one and a half hours in class when this channel exists. Thanks for all your help. Deeply appreciated.

[@lb10445]

"The problem is, we learn techniques without understanding what we are doing." That to me is the beating heart issue of what is wrong with modern math education. In my time in math classes through calc II I spent most my time surrendered to this very fact. Don't try to figure out what the heck is going on; just focus on mindlessly executing steps prescribed for whatever bewildering mess of math symbols the teacher flopped on my desk.

[@ev.c6]

DR Hayden Modern math? It used to be worse back then, where only a fraction of people could learn and understand it. The big problem is the stigma around it, where parents completely demotivate their kids to learn it. It’s also not very intuitive and you only find its true value later in life.

[@shillpolice7981]

Its not about the KIDS, Its not about the PARENTS, Its not even about MATH. Its about the FACT that historically math as a SUBJECT Matter is natural to so few, ....AND to most / NOT at all. The folks its natural too ARE POOR EXTROVERTS. Extroverts are "artists" and THE BEST TEACHERz when capable of making the conversion. (A RARE BEAST) - So you historically have a bunch of ASSES (intentional or not) who are completely INEPT at TELLING US WHY THEY DO WHAT THEY DO. Or *DEMONSTRATING* HOW IT RELATES TO REAL WORLD APPLICATION. SADLY, I expect that "poor math teachers" are stemmed from "poor baseball players"... Meaning, they were on the bench THEN, they put us on the bench NOW... And I am not joking. Its like some secret club that THEY JUSTIFY leaving the rest out of IN TURN, "as we don't belong" ..> AS IF... We cant understand them at whatever level of interpretation they are WILLING TO ATTEMPT... I'm not going to totally bash on math teachers as I am sure the majority do try to convey the message. BUT.... This guy Dr. Leonard is a BASEBALL STAR that has mastered the ART OF MATH and thus can demonstrate. HE CROSSED BOUNDARIES AND ON MORE THAN ONE AXIS (for all you avg math teachers envious of his abilties).... He keys on GRAPHICAL ANALYSIS which is the most GENERIC FORM or technical presentation of REAL WORLD APPLICATION - In its simplest "analogy".... Which in turn turns written equations TO GRAVY... Its so much bigger than all this tho as Dr. Leonard is like some kind of secret Govt. designed prodigy where he is indoctrinated with A METHOD to his teaching which is SYSTEMIC as maximum effectiveness and efficacy in every way. This is all coming from a failed cal student from the mid nineties giving it another shot. The LEONARD - IS DA SHIZZLE....! And hey, I'm LAZY,, ADD, and STILL SUCK. But his presentations still give me a glimmer of hope. And the best part is the technology that allows the LUXURY of REPITITION here on Ytube. This horse may actually drink before he dies...

[@AB-cn5hb]

@@shillpolice7981 sir this is Wendy's.

[@petrmasek4506]

@@AB-cn5hb lmao

[@rosepierce9382]

​@@shillpolice7981 Yes, Dr. Leonard is a government-designed robot prodigy experimenting his evil teaching methods and techniques on poor, unsuspecting calculus students. Geez, what kinda drugs are you on?

[@fahadshafiq8135]

I rarely ever comment on any video but i felt it was necessary to do so for professer Leonard even though i dont think he will ever read this. Im a college student and you sir have been the most helpful out of all the professors i have ever had. You posses all the great qualities of an examplray teacher. The way you break down difficult concepts and explain it in such a simple manner is reqmarkable to say the least. You have made me believe that i can learn and improve in mathematics. If it was upto me i would donate all my math courses fee to your patreon. Keep it up prof, if half the math teachers had a quarter of your abilities people would view mathematics in a completely different prespective. Once again from the bottom of my heart, Thank you so much.

[@abdelrahmansaad9525]

انت اكيد عربي؟

[@ProfessorLeonard]

You're very welcome! So glad to have helped :)

[@samermohamed9082]

Just posting this on the most recent video so you see it. I'd just like to say thank you soo soooo soooo soooooo much for your 3-hour video on Stokes' theorem and Divergence Theorem as well as general integration over paths. You saved me from failing my exam. I had barely studied because I had a huge mental block all of last term and I found your video the night of the exam and watched and followed the whole way through. For once, everything seemed really clear and when I went into the exam, I managed to pass, as needed. But, that wasn't just any pass. That pass allowed me to proceed in my engineering degree and NOT be held back yet another year. Again, thank you sooooo much and keep fighting the good fight. I'm just here to remind you that your lessons save actual lives!

[@Chocolatechipcookiesarethebest]

Finally a teacher that actually explains the logic behind the methods

[@JuanPabloMartinez-b8m]

The best college's math channel

[@maxamedaxmedn6380]

Thanks we appreciate your efforts

[@coryfinn6664]

I really do wish there were more math educators out there like you, the way everything you explain has a tendency to help further illuminate on concepts is something I wish I could have experienced in my time in high school.

[@georgesadler7830]

Professor Leonard, thank you for a powerful introduction to Solving Quadratic Equations. The Quadratic Formula is one of the oldest equations known to the human race, however it is very popular in science and engineering.

[@marinangelov]

I passed all my math tests thanks to this dude!

[@nadiasultan7893]

The godzilaa of maths ...the perfect teacher !! @ leonard

[@JashkiratVirdi]

Thank you so much for my course started this semester. I hope you can complete it by April so I can revise it as I go through.

[@wfvcdegvc3636]

You're the best. Thank you for your hard work ❤️

[@psoren423]

Best explanation of this I have seen. Thank you

[@kater6873]

You are an absolute hero. Thank you for this!

[@MathswithMuneer]

Excellent video. Respect from one math teacher to another ❤️

[@TemplarX2001]

just checked out your channel ill be there after this 😂

[@alamgirkhan330]

You are really the hero of mathsssss

[@grd6021]

all i can really say is THANK YOU!

[@Saygoodbye130]

You’re an awesome teacher thank you Professor

[@666michele999]

Now I love math, thank to you professor

[@georgettebeulah4427]

This video is so true and makes so much sense and meaning and explanation and love it so much thank you

[@swisss1]

Professor, thank you for making these incredibly valuable and in-depth videos. Many of them helped me get through Calculus. I am a Physics and Engineering student in NY and am taking Linear Algebra this semester. Do you have plans to do a Linear Algebra series?

[@dougjohnson5487]

So good to ou are back for 2020. I hope the new videos will post on a regular basis. Do you have a schedule planned for posting vids?

[@ProfessorLeonard]

at least one a week on wednesday/thursday and more as we progress. I am building a new filming location right now.

[@TemplarX2001]

Appreciate you Prof

[@Grahamster1999]

Professor Leonard has no right being this hot.

[@nate6199]

Around how many more videos do you think you'll be making for the college algebra section of your precal course?

[@firelordzaki1600]

I love you thank you for helping me this semester

[@GSU_Panther_Nation]

Quadratics is what you should have learned in high school algebra or College Algebra

[@mohanadanan9539]

thank you for everything Professor

[@ahmedsherif2182]

Love you professor

[@colchi2547]

You are amazing, thank you

[@38raiyyan.u9b6]

Can we have 2 same complex solution

[@kaesh831]

Do you teach Linear Algebra? If not would you? And if you did or do would you make a series on it

[@veryhealthy9962]

The first 30 seconds was a summary of what I believe is 99% of students who learn quadratic equations. Sure, we learn the mechanical techniques behind it but have no idea at all why are we doing it.

[@ammishtandon4961]

Can you upload a video on differential equations on one week and precalculus on the other...A lot of people need differential equations...If time permits you then please try this...

[@biguce8570]

Thank you!!

[@anasfarid2492]

When are you starting Higher differential equation?

[@aaliyahlord5948]

Ummm... I didn't know the math I was taking as a freshman in high school was college algebra. Now I feel a little better about myself and not *completely* stupid.

[@socialscienceanime2797]

Yeah!!! When will you cover trigonometry?? Im waiting for that one, love this chanel

[@djt6fan]

He said that trigonometry will be covered in the last third of this series.

[@socialscienceanime2797]

@@djt6fan oh thnx probably skipped that part, jajaja

[@techzoneplus]

Thank you Quadratics 🙂

[@qweasd-sq5zr]

I am not in Pre-Calculus, I don't even know how to do Pre-Calculus, but this is a interesting video.

[@Evilope]

Start your journey!

[@qweasd-sq5zr]

@@Evilope I need to learn more math before I advance to Pre-Calculus.

[@Evilope]

Good luck with whatever you decide to do. Math feels almost never ending with its complexity

[@qweasd-sq5zr]

@@Evilope Agreed, math is in everything, the possibilities to learn are endless.

[@alamgirkhan330]

I love very much your video

[@thangarajselvamani178]

Hi Sir,Thank you :)

[@monirhossen8753]

can you please tell me the name of books you used to teach us calculus1,2,3,prealgebra,algebra,precalculus,statistics and more

[@michaelp.5793]

Bit of help here, his Intermediate Algebra course used "Beginning and Intermediate Algebra, 5th edition, Elayn Martin-Gay". ISBN-10: 1256776181 How do I know? It's from his course syllabus. I also watched and studied his entire video series on Int. Algebra. It follows that book almost perfectly. There is a slight variation in section 12 where one video combines two sections in the book. Its slightly confusing at first but completely manageable. Just be aware of it. Hopefully others can help us find the rest of the books.

[@michaelp.5793]

Also, as best I can tell his Calc 1 course used Thomas' Calculus (12th Edition) ISBN-10: 0321587995. I have not been through that video series yet, so I can't say for sure.

[@bigshaqsmathematicalinstit3318]

Why don’t you just move some of the intermediate algebra videos in this playlist. There is some overlap in both courses. Such exponentials and logarithms, etc. And just focus on covering new topics which show up in college algebra?

[@ProfessorLeonard]

You know, I really did think about it, but I'm not going to for two reasons. 1) Many people don't watch the Intermediate stuff and it's so much older, I don't want to lose the flow and 2) I have picked up some better ways of explaining many of the concepts and am choosing to put it here rather than refilm Intermediate. Does that make sense? I really appreciate you noticing though! It means you've watched and paid attention. Thanks!

[@bigshaqsmathematicalinstit3318]

@@ProfessorLeonard Do you mind sharing your college algebra syllabus/specifically just a list of topics covered[you would cover] in a typical college algebra course? Also THANK YOU for the all the free high quality videos and your dedication to keep on adding more content!

[@ProfessorLeonard]

I'm sorta making that up as I go and probably going to put up MORE than would be in the course, but rest assured that if you watch the videos, you'll get at least everything that will take place in the typical C.A. course. Hope this helps!

[@drvenomhd]

BEAST

[@VainCape]

Please do Real Analysis..

[@christophersandmann]

Has anyone every considered the idea of a parabola traveling about the Cartesian plane?

[@feilongish]

Complete

[@me-tubemath7927]

is this possible two complex roots are same?

[@hurricaneirma561]

No complex roots can’t be the same. There can be a double root which crosses x axis once

[@ProfessorLeonard]

Nope, but that will be covered in the next video coming out a week from today.

[@hurricaneirma561]

Professor Leonard professor, with your experience, do you think taking AP statistics along with pre calc honors is a good idea?

[@ammishtandon4961]

Complex roots occur in conjugate pairs

[@me-tubemath7927]

@@ProfessorLeonard sir suggest me any precalculus books.

[@Peter_1986]

I have always wondered when Professor Leonard was born. I remember him saying at the end of the 6th video in Calculus 3 something like "after 12 years, I finally got a computer that works" about his classroom's computer, and that was in 2016, so he must have been at least in his mid-30s there. So maybe he is about 40 years old today?

[@quant-prep2843]

Anyone noticed how professor change from one position to another, is it weird? Mwahah

[@ho5722]

Love you professor

[@feilongish]

Complete