AP Calculus AB and BC Unit 1 Review [Limits and Continuity]

[@mangof23]

The first time I watched your videos I was a freshman in highschool. I’m completing my doctorates in pharmacy now. It’s good to see you back professor!!!

[@kristakingmath]

Wow, what a journey! Congratulations on finishing up your Pharmacy degree... what a HUGE accomplishment!!!! 👏👏👏

[@Celeste-ug6ji]

Noice

[@Nobody-tj9jo]

Bragger 🙄🙄

[@kristakingmath]

Hey guys! This is a project I've been working on to help everybody who's taking AP Calculus AB or BC this year. Timestamps are in the description. I'll be releasing more of these AP unit videos over the next week or so. 🤓 I really hope you're all staying safe and healthy! ❤️❤️

[@nthabisengmaimela1281]

So happy to see you back, you have been such an inspiration and a great help during my university years

[@arvincunningham1281]

This is incredible Krista, thank you! Anyone that is taking calculus, I always share your information. You helped me get through my college calculus also, your explanations and thorough demonstrations of what is at times a difficult subject to grasp and is much appreciated!

[@budhathokibijaya6636]

Love your videos 😍, thanks for uploading.

[@guitarttimman]

Can you believe it? When I was very young, I tested out of College Algebra with Trigonometry. That was at a very recognized University.

[@YanitoAddition]

Hey @kristakingmath what program do you use? I love the fluidity of it. I'm using GoodNotes on my iPad and it's okay, but your layout just looks cleaner. Mahalo!

[@rhpmike]

Haven't taken a math class in 15 years, but if I would have had this in high school I could have skipped the whole class and spent 10 hours with you. Such clear explanations that are easy to follow.

[@benjaminfranklyn9292]

This is precisely it. I was there 28 yrs ago lol. IF ONLY....

[@daughteroftheking3220]

Thank you for this! I needed this for my upcoming Ap exam. You truly are changing lives. People like you do deserve a very honorable prize. Love your explanations. Thank you from the bottom of my heart! I can’t wait to use more of your videos as a number one source when I start taking more challenging math courses! You truly are the best!👏🏻👍

[@kristakingmath]

Thank you so, so much! I'm honored to be able to help! :D

[@adilson5051]

We missed you teacher.

[@kristakingmath]

Missed you too! I hope you've been great! :D

[@user-dq2fc3dz8k]

Thank you so much for these videos! I barely learned any of Calc AB this year due to a bad teacher, and your videos truly saved me. I watched/studied them the weekend before the exam and got a 5! Thanks!

[@randomperson-de1rs]

Wow

[@levelthefield]

This is seriously the best video ever. I am an upcoming junior taking Calc BC, and despite everyone telling me not to take it (oh, it's going to be incredibly hard; don't take it if you want your GPA to go down), your videos give me inspiration and an actual passion to learn more about Calculus! Thank you so, so much!

[@amazing_8387]

Im in the same boat now, rising junior with everyone telling me not to take it, how did it go for you?

[@Chubbymank]

Hey, I'm just a sophomore in high school taking this class, Your videos have helped me so much with Calculus. Thank you so much

[@alancontrreras]

WHAT A SOPHOMORE??!! u smart af ma boy

[@Chubbymank]

@@alancontrreras hahaha thank you, I’m a junior now but I’ve already taken most of the math courses. So to cover for this years course I’m taking AP Complex analysis

[@Vignesh27116]

@@Chubbymank It's just complex analysis not AP (APs are only the ones established by collegeboard). Bro trust me there's always some random kid in some part of the world 1 upping us. This dude in my school, sophmore, completed calc, diff eq, lin alg, and is doing discrete math

[@Chubbymank]

@@Vignesh27116 Junior now and funny enough there is this one kid who is a sophmore and he has completed more AP classes than i have and he is by far the smartest kid in our state maybe top 10 in his class for our nation

[@Vignesh27116]

@@Chubbymank From all the seniors I've talked to, I'm convinced at this point extracurriculars are more important. Junior year, 4-5 APs and really good ECs is far better than 8 APs and no life

[@sunnymoon2416]

Omg, my exam is in roughly a week, and I think I'm gonna be okay now. I love how you covered everything, and idk if it was curriculum, but a fairamount of this was pre calc review. Thanks so much for doing what you don't have to do!

[@jquick85]

Oh my goodness! An upload!!! It’s great to see you and I don’t even have math classes anymore!

[@kristakingmath]

Aww, thanks! Great to see you too! :D

[@stay2Disciplined]

Was That Sarcasm

[@TheNickinator96]

I graduated last year with a b.s. in math and just want to say this is an amazing thing you're doing! My heart goes out to all the calc BC kids who are going to have to be taught Taylor series remotely lol

[@kristakingmath]

Right! Mine too, school is tough for everybody right now... students, teachers, administrators, parents. I'm hoping these videos can help supplement for anybody who needs them!! ❤

[@gentlemandude1]

Krista, you're the queen of KZbin Calculus! Yours is a very important voice in on-line math education, one that is needed now more than ever. It's good to see you back at it, going above and beyond to help people master some very challenging math courses. I wish there were some kind of medal or award for people like you, those who give their time and energy for free so that others can learn and prosper.

[@kristakingmath]

So nice of you to say! I'm happy to help! :D

[@sethwicks84]

I took Calculus BC and got a 5 my sophomore year of high school and now im graduating soon and I've forgotten alot. Needed this series to refresh everything I already learned before I head off to college! Thank you 🙂

[@kristakingmath]

You're welcome, Seth! It's amazing how quickly we forget everything when we're not using it, so I'm glad I could be here for the refresh. Congrats on starting college!! :D

[@mattgagea]

Wow; I have my first test of the year tomorrow for Calc BC on all then limits and derivative things we learned last spring and thus far. I just wanted to say that what you've put together is amazing and is helping a heck of a lot with my studying. Thank you so much!!!

[@kristakingmath]

You're welcome, Matthew, I'm so glad this series is helping! Best of luck with the rest of BC! :D

[@Tvfmsm]

Im already in my school's integral calculus course, but I wanted to refresh my mind and really enjoyed the videos! I have never seen this topic better explained.

[@loveitgirl2202]

Note to self: 1.6 is a good reference to review 1.7 as well 51:06 to review piece wise functions Review 1.14,15, and 16

[@goodcake05]

Mam trust me whatever higher engineering mathematics I'm good at is just because of you. Really I haven't seen any other teacher in my whole life who teaches like you. I appreciate your hard work and I don't have any words to describe my respect for you. Also keep uploading this precious content and u deserve much more than anyone

[@kristakingmath]

Thank you so much, harprett, I'm so glad I'm able to help! :)

[@fornax5798]

A teacher dedicated to their students. Sweet and to the point, no interruptions, but everything essential. This year I'm preparing to understand units ahead of time before i take the ap course in the year, and this helps me a lot

[@ChadCarney-hu3du]

So much better than the AP classroom review people. They stop to talk every 2 seconds and it's very annoying. Your review videos are professional and actually useable. Thanks!

[@vascularviet]

I know right!??

[@jenacook8723]

Oh I just graduated this last fall , watching this video now make me miss math classes , you were so helpful and sure always gonna be 🌹

[@kristakingmath]

Awww thank you so much, Jena! I'm so glad the videos helped, and congratulations on graduating!!!!! :D

[@caleb2364]

Your videos are SO HELPFUL! Keep up the great work! Thank you!

[@kristakingmath]

Thank you, Caleb, I'm so glad the videos have been helping! :)

[@cyrus3967]

Caleb Staufer MAGA🇺🇸

[@zickrap5965]

You’re excellent teacher! I’m student of Earth Science and Math in Mexico 🇲🇽. I miss you:) Greetings 💙

[@muhammadhamzajaved9297]

It's good to see you, Madam. I hope you stay safe out there and healthy. Thanks for all the fun Math videos.

[@katiecruse5761]

Krista, your videos and study guide materials are so much better than anything else on the internet. Your explanations are logical, concise, and entertaining. Your incredibly well-organized content saves me so much time and frustration. I intend to keep using your videos as I study upper-level mathematics in college. Thank you so much for your time and effort.

[@kristakingmath]

Wow, thank you so much, Katie! I'm so glad you've found the material so helpful, that absolutely makes my day! :D

[@Ajinkyax30]

thanks for these videos. even the subtle dark colors are so easy to watch at night.

[@LoudGuitar14]

Learned more math from Krista than anywhere else in my Engineering degrees

[@kristakingmath]

Thank you so much, Mike! I'm so glad the videos helped!

[@Th3OneWhoWaits]

I've been looking ahead to differential equations, and this channel explains it so well! Hopefully another upload will come soon.

[@elgs1980]

I can listen to your voice all day and all night, yet at the same time relearned all my college math. :) Thank you!

[@kristakingmath]

You're welcome, Qian! I'm happy to help! :)

[@hisofait3326]

Welcome back professor 🌹🌹

[@kristakingmath]

Thank you, HISOFAI T! :)

[@lamnguyen-bi8jm]

I have been watching your video since freshman! Thank you very much for everything! You are wonderful!

[@kristakingmath]

You are so welcome, I'm so glad the videos have been helping along the way! 🤓

[@avaneeshmoorthy602]

thank you so much , I have an ap calc ab exam coming up and I plan on self studying , this helped so much

[@AV-rc5gi]

Have my 1st test for AP Cal AB on 2 days. This helps a lot in studying

[@georgepolasky9809]

Hi Krista, I’m a long time subscriber and great fan of yours. I’ve learned so much from you with Calculus, even though I’m a novice at best. I also watch Christine Breiner and Herb Gross MIT videos. The three of you are beyond brilliant; light years ahead of me. I thank you for your wonderful videos, Krista, but most especially for your kindness and patience with your superb instruction. You are wonderful, such a truly nice person. George

[@lrobertiii]

Welcome back Krista!

[@kristakingmath]

Thank you so much, Descartes! :)

[@James-md8ph]

So pleased to see you're still doing these videos on KZbin

[@kristakingmath]

Thanks, James! I'm hoping to be a liiiiittttllle more regular with posting than I have been! 🤣

[@antoniomele436]

Thank you so much!!! You don’t know it, but you helped me immensely with my calculus 1, 2, and 3 courses!! I got all As and you played a part in that so thank you :)

[@kristakingmath]

Thank you so much for letting me know, Antonio! You clearly worked really hard to make it through calc with those grades, and I'm so glad my videos were able to help along the way! :)

[@aliozanerbektas]

I was gonna write something lovely but everything I thought about has already been written! ❤️

[@JUST_C0DE]

thanks a lot ...India needs teachers like you ... our teaching system has been just of making sudents craming things ..instead of letting us know how did they(the formulas or ways ) come ...thanks a lot

[@ulisesjaenalmarcha2861]

Great video to consolidate the foundations of calculus! In fact, all the series is really interesting. Continue like this!

[@kristakingmath]

Thanks, Ulises, will do!

[@SquadDirector]

Holy Shit. It's been a while...Like, I graduated and found a job since you last uploaded!

[@kristakingmath]

LOL, wow! That's crazy! 😂 But congrats on graduating and landing a job, that's awesome!! 👏

[@JoePittsburgh11]

It’s my freshman year of hs and I’m grinding for the calc bc exam, going to watch all your videos on calc... Thank you so much!

[@epicwin2513]

Got a 3 last year in AB, trying BC this year, let’s hope I get a 4 or 5

[@nonopelenio2027]

I wasn't able to study college due to financial but with these videos, now, I am more knowledgeable than to those who graduated from college. Thank you.

[@averyinterestingpineapple6038]

I’m sorry about your previous situation and I hate to burst your bubble, but these videos are an overview of 1st year college calculus. College graduates learn this early among many other subjects so I wouldn’t say that you would be more knowledgeable than math graduates.

[@haslan4885]

We missed you, Krista!!

[@kristakingmath]

Missed you too, haslan!! :D

[@KnowledgeScroll]

Glad to still see you are as active as ever Krista...this is Kevin from Barbados (we spoke many years ago when I asked you about how you started teaching online) thank you for your help back then.

[@michaelhodorowski6126]

I do not know who you are, but holy moly, I am very impressed. I will be watching all of your videos. The way you explain concepts is concise and engaging. You have a new fan!!

[@kristakingmath]

Wow, thank you so much, Michael! :D

[@PurpleFX1]

This may be the highest quality math video I've ever watched

[@noonestark7908]

taking my first quiz of the school year tmrw thanks for the review :)

[@kristakingmath]

You're welcome, Stark! I hope the quiz went great!! :D

[@Citgo.]

OF COURSE I FIND THIS AFTER MY TEST GOD DAMMIT

[@catherinekaminski112]

Thank you so much for this review! Have my first test in a few days and I’m very nervous but your video really helped!

[@TriptoPal]

Thank you for the video.

[@kristakingmath]

You're welcome, Tripto! :)

[@mu.makbarzadeh2831]

Wow! It's unbelievable that you started teaching again on KZbin! Thank you so much.

[@kristakingmath]

You are so welcome, I'm glad to be back! :D

[@thermic3934]

Big shout out to your guides, carrying me through AP calc!

[@viditbhandari1210]

ma'am i am vidit from india, self studying AP's through various online free sources but i found that if you could remove ads from the video as it creates a hurdle in continous learning. i just feel like in a class room uptil there is an ad that breaks me from the momentum. Thanks for the work.

[@kristakingmath]

Hey, Vidit! Thanks for saying hi! My full course is available ad free if you follow the link in the description. If you'd like to see all of these videos, as well as lots more resources to support them, definitely check out my course. :)

[@buddydog1956]

Krista, I've used your videos for Greens Thm / Stokes Thm...Double & Triple Integrals....thanks , as always you were a huge help. Btw, good to see ya around again :)...and you haven't aged a day ~

[@kristakingmath]

I'm so glad the videos have been helping! :D

[@ashukalipahari9965]

Your way of study is awesome mam🌻

[@pastreas]

thank you for explaining this coherently you saved my life

[@kristakingmath]

You're welcome, pigeon, I'm so glad it helped!

[@kennethhowell5291]

Krista can really teach! One in a million!

[@kristakingmath]

Thank you for always supporting me Kenneth! :D

[@jam34786]

SHE'S BACK!!!! :D

[@sydneypage6447]

using this to study for my calc AB test bc my teacher sucks and didn't teach us :((( thank you so much!!

[@allietutu]

omg good luck i hope you do well!! i'm in the same boat kind of without knowing it except it wasn't my teachers fault i just forgot, we're both here for similar reasons LOL

[@kristakingmath]

I hope the test went great, Sydney! I'm happy to help! :)

[@kristakingmath]

Hey, Allie! Glad you liked the video! :)

[@punditgi]

Krista King is the Queen of Maths! 🥳

[@AR-vb4xy]

It's been a long time, good to see your active again. Please introduce us to calculus III and IV And V.

[@kristakingmath]

Hey! I already have lots of multivariable calculus videos, which are usually covered in Calc 3 or 4, if you want to check them out! :)

[@AR-vb4xy]

@@kristakingmath I'm doing it :)!

[@gnanaprakash2616]

Excellent and a laudable initiative, Ma'am. I am extremely thankful. If there is any book in specific that you would recommend as reference book, please let us know.

[@welcometomcdonaldsmayitake2003]

I will take AP Calculus AB this year and this video helped me a lot to get a hold of the unit before going to class!

[@kristakingmath]

I'm so glad it helped, and I hope AB is going well so far! :D

[@welcometomcdonaldsmayitake2003]

@@kristakingmath Yeah it goes well. Surprisingly it started to make more sense as we go trough the units! :D

[@rahelbakr3532]

​@@welcometomcdonaldsmayitake2003how was it?

[@welcometomcdonaldsmayitake2003]

@@rahelbakr3532 I got a 4 with onlt 2 weeks of real study. Id say it was good

[@MrVoayer]

So nice to have you back, Krista !!! Stay well and make more valuable videos ! You have my sincerely best wishes !

[@kristakingmath]

Thank you so much, Voayer, I really appreciate it! :)

[@mdbaseer361]

thanks for such great effort you put to simplify in a simplest form.

[@muqsitmohammed1177]

So sweet of you to put this for free

[@kristakingmath]

I'm happy to help, Muqsit! :)

[@krishnamckay3247]

26:00 I solved by that by using sin(2x) = 2sinxcosx So sin(2x)/x became 2sinxcosx/x (OR 2 times sin(x)/x times cosx) Lim x approaches 0 for that = 2*1*1 = 2 :)

[@samrat6720]

I am so glad I found this channel

[@florancezhang2298]

you are such an angel!!! You explain so clearly and efficiently it's amazing

[@brunogreco1831]

Hello, regarding these topics that I detail, there are more topics that you should complement or your videos already cover all content at the university level ?. Line integrals Jordan curves. Regular and singular points. Arc length. Intrinsic parameter. Definition of line integral of scalar and vector fields. Properties. Work. Circulation. Geometric and physical applications. Gradient fields. Properties. Potential function. Necessary and sufficient condition for the existence of a potential function.

[@kristakingmath]

I'm hoping to add more content over time, so I'll try to get to these topics too! :)

[@nicolasantonio8053]

KRISTA!!! it's like seeing an old friend again I hope you and your closest ones are safe ❤️

[@kristakingmath]

Hey, Nicolás! Thanks for saying hi! We're staying safe and healthy, I hope you and your family are, too! :D

[@richardma720]

The return of the King

[@yurrrrr3333]

thank you so much! this helped me pass my unit test, really appreciate it!

[@kristakingmath]

You're very welcome, yas, I'm so glad it helped! :)

[@toastitup3482]

I love all the new videos. It's great to see you again.

[@kristakingmath]

I'm so glad you like them! :D

[@mento5090]

God bless you women, you freakin teach better than the fu** school system

[@kristakingmath]

:)

[@audreyaspen9001]

Thank you I am currently taking up Calculus this will help a bunch.

[@kristakingmath]

You're welcome, I do hope it'll help! :D

[@programinggrid967]

I really enjoyed your lectures. The series you are working on is very best. so thankyou you helped me so much to understand maths concepts.

[@kristakingmath]

I'm so glad you're enjoying the lectures! :)

[@manzooralhaj5850]

Thanks very much it was a very useful lecture please do more lectures.

[@kristakingmath]

Thank you, I will! 🤓

[@nooralzayer1028]

You just saved my life!

[@ddahstan6876]

Every time I hear you explaining math concepts, it's like seeing your heart pouring out marsh mellows that are much easier to chew than some of those hard chunky nutty series. Thank you for treating many of us hungry night owls!

[@stephaniebalbuena2906]

SHES BACK .0.

[@PatrickBateman969]

Hello Krista, please continue making videos they're awesome!

[@youcan3478]

Welcome Back Professor 👩🏻‍🏫 😃👏🏻

[@kristakingmath]

Thanks, Saurabh! 😃

[@tonyageorge8635]

Missed you a lot. So glad to have you back. Love you teach...

[@anubhavpradhan3687]

This video was amazing and I truly appreciate your effort

[@kristakingmath]

Thank you so much, Anubhav! I'm so glad you liked it! :D

[@SauceyNoodle]

We couldn’t live with failing calc and where did that bring us? Back to Krista

[@pauldow1648]

The future of education / tutorial education post c-19 may be in format you and others have mastered/perfected here on the tube. Your style rocks. 👍

[@kristakingmath]

Thank you so much, Paul! Hopefully these videos are especially helpful right now while we're all adapting to this new reality. 💪

[@jennifertseng5406]

Very good quality teaching video.

[@kristakingmath]

Thank you, Jennifer! :)

[@pradap2298]

My goodness teacher is back

[@kwameamoah5428]

Your teaching is as beautiful as you, Welcome back!!

[@homelessjedi2499]

Love the new visuals

[@kristakingmath]

Thanks! :D

[@jtj1128]

This is helpful thank you Megan

[@meglilsutt]

You’re welcome

[@meglilsutt]

You’re so cute!!!!

[@jtj1128]

@@meglilsutt Thank you :)

[@alec6310]

we're so fucking back

[@quercus_opuntia]

9 days... good luck soldiers

[@kristakingmath]

I hope the exam went great!! :D

[@quercus_opuntia]

@@kristakingmath yeah thanks these reviews helped me crush the mulitple choice section but I kinda got wrecked on the frq... oh well I had to take the class online this year and did a lot better than expected

[@abcdxx1059]

Your channel made my calculas fun

[@kristakingmath]

Thank you so much, that makes me so happy! :)

[@coryloveless6526]

Hi Krista! Wonderful job. Thank you for sharing! I'm a fellow math teacher- can I ask what software you are using to write with? I would love to use it. Thanks again!

[@kristakingmath]

Hey, Cory! It's called Sketchbook (made by Autodesk). I've used it for years, and it works great! I hope that helps! :)

[@OwenMcKinley]

Glad the calc master is back!

[@RossRocks07]

Omg you're back!! Nice to see a new video from you

[@kristakingmath]

Thanks, Ross! More videos are on the way! :)

[@Mikeyboi699]

I can't believe your back it's been ages😍

[@kristakingmath]

It HAS been! But I'm planning to upload more, and I think the new videos are going to be really helpful for a lot of people! :)