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!!!
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! ❤️❤️
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!
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!
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.
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!
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!
@@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
@@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
@@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
@@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
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!👏🏻👍
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!
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
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!! ❤
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 🙂
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
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!!!
Krista, you're the queen of TH-cam 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.
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
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.
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
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.
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!
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 :)
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
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!!
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
Thank you for this video Krista King. I am currently going through a mid life crisis (I’m 16) due to my college calculus class and this test tomorrow has me absolutely terrified. I think my teacher is secretly praying on our downfall bc lord knows what she was teaching us. Like what on earth!!!
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 :)
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! :)
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.
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.
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 ~
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.
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.
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
35:50 greater than and less than 0 could also mean indeterminate right? I’m not a calculus student I was just wondering because I used a calculator and it said (0, undefined).
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.
Hey Krista, im in Calc BC right now and im trrying to stay ahead of the AP exams im taking in 4 monmths! this video was a great revewi for thr stuff i learned earlier in the year!
Heyy I am planning to take my AP Calculus BC in 2k24 may I get a few tips from you like how to start and what study materials do I need to use and about lessons as I am poor at maths and I need to start rn if I need better scores.
![AP Calculus AB and BC Unit 2 Review [Differentiation: Definition and Basic Derivative Rules]](http://i.ytimg.com/vi/1_WNBRS2cVg/mqdefault.jpg)
![AP Calculus AB and BC Unit 2 Review [Differentiation: Definition and Basic Derivative Rules]](/img/tr.png)
![AP Calculus AB and BC Unit 5 Review [Analytical Applications of Differentiation]](http://i.ytimg.com/vi/vvwo8VFhDkE/mqdefault.jpg)
![AP Calculus AB and BC Unit 4 Review [Contextual Applications of Differentiation]](/img/n.gif)
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!!!
Wow, what a journey! Congratulations on finishing up your Pharmacy degree... what a HUGE accomplishment!!!! 👏👏👏
Noice
Bragger 🙄🙄
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! ❤️❤️
So happy to see you back, you have been such an inspiration and a great help during my university years
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!
Love your videos 😍, thanks for uploading.
Can you believe it? When I was very young, I tested out of College Algebra with Trigonometry. That was at a very recognized University.
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!
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.
This is precisely it. I was there 28 yrs ago lol. IF ONLY....
We missed you teacher.
Missed you too! I hope you've been great! :D
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
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!
Im in the same boat now, rising junior with everyone telling me not to take it, how did it go for you?
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!
Wow
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
WHAT A SOPHOMORE??!! u smart af ma boy
@@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
@@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
@@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
@@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
First unit test tmrw, thanks for this!
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!👏🏻👍
Thank you so, so much! I'm honored to be able to help! :D
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!
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
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!! ❤
Oh my goodness! An upload!!! It’s great to see you and I don’t even have math classes anymore!
Aww, thanks! Great to see you too! :D
Was That Sarcasm
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 🙂
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
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!!!
You're welcome, Matthew, I'm so glad this series is helping! Best of luck with the rest of BC! :D
Krista, you're the queen of TH-cam 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.
So nice of you to say! I'm happy to help! :D
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
Thank you so much, harprett, I'm so glad I'm able to help! :)
Have my 1st test for AP Cal AB on 2 days. This helps a lot in studying
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.
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
So happy I discovered your channel even if you aren’t active anymore just wanna say I love your writing and voice! YOURE THE GOAT FRR💖😭
thanks for these videos. even the subtle dark colors are so easy to watch at night.
It's good to see you, Madam.
I hope you stay safe out there and healthy. Thanks for all the fun Math videos.
Welcome back professor 🌹🌹
Thank you, HISOFAI T! :)
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.
Wow, thank you so much, Katie! I'm so glad you've found the material so helpful, that absolutely makes my day! :D
Your videos are SO HELPFUL! Keep up the great work! Thank you!
Thank you, Caleb, I'm so glad the videos have been helping! :)
Caleb Staufer MAGA🇺🇸
thank you so much , I have an ap calc ab exam coming up and I plan on self studying , this helped so much
I've just started watching ur content and I am so grateful for it!! thank you so much!!
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!
I know right!??
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 :)
I have been watching your video since freshman! Thank you very much for everything! You are wonderful!
You are so welcome, I'm so glad the videos have been helping along the way! 🤓
Welcome back Krista!
Thank you so much, Descartes! :)
You’re excellent teacher!
I’m student of Earth Science and Math in Mexico 🇲🇽.
I miss you:)
Greetings 💙
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 🌹
Awww thank you so much, Jena! I'm so glad the videos helped, and congratulations on graduating!!!!! :D
I can listen to your voice all day and all night, yet at the same time relearned all my college math. :) Thank you!
You're welcome, Qian! I'm happy to help! :)
So pleased to see you're still doing these videos on TH-cam
Thanks, James! I'm hoping to be a liiiiittttllle more regular with posting than I have been! 🤣
I've been looking ahead to differential equations, and this channel explains it so well! Hopefully another upload will come soon.
Learned more math from Krista than anywhere else in my Engineering degrees
Thank you so much, Mike! I'm so glad the videos helped!
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
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!!
Wow, thank you so much, Michael! :D
We missed you, Krista!!
Missed you too, haslan!! :D
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
Thank you for this video Krista King. I am currently going through a mid life crisis (I’m 16) due to my college calculus class and this test tomorrow has me absolutely terrified. I think my teacher is secretly praying on our downfall bc lord knows what she was teaching us. Like what on earth!!!
Your way of study is awesome mam🌻
taking my first quiz of the school year tmrw thanks for the review :)
You're welcome, Stark! I hope the quiz went great!! :D
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!
I was gonna write something lovely but everything I thought about has already been written! ❤️
Big shout out to your guides, carrying me through AP calc!
Krista can really teach! One in a million!
Thank you for always supporting me Kenneth! :D
Great video to consolidate the foundations of calculus! In fact, all the series is really interesting. Continue like this!
Thanks, Ulises, will do!
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 :)
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! :)
Wow! It's unbelievable that you started teaching again on TH-cam! Thank you so much.
You are so welcome, I'm glad to be back! :D
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.
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.
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!
I'm so glad it helped, and I hope AB is going well so far! :D
@@kristakingmath Yeah it goes well. Surprisingly it started to make more sense as we go trough the units! :D
@@welcometomcdonaldsmayitake2003how was it?
@@rahelbakr3532 I got a 4 with onlt 2 weeks of real study. Id say it was good
thank you for explaining this coherently you saved my life
You're welcome, pigeon, I'm so glad it helped!
I am so glad I found this channel
This may be the highest quality math video I've ever watched
Krista King is the Queen of Maths! 🥳
Welcome Back Professor 👩🏻🏫 😃👏🏻
Thanks, Saurabh! 😃
Got a 3 last year in AB, trying BC this year, let’s hope I get a 4 or 5
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 ~
I'm so glad the videos have been helping! :D
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.
Thank you I am currently taking up Calculus this will help a bunch.
You're welcome, I do hope it'll help! :D
very clear explanations, thank you
So sweet of you to put this for free
I'm happy to help, Muqsit! :)
Hello Krista, please continue making videos they're awesome!
Very good quality teaching video.
Thank you, Jennifer! :)
thanks for such great effort you put to simplify in a simplest form.
I love all the new videos. It's great to see you again.
I'm so glad you like them! :D
It's been a long time, good to see your active again. Please introduce us to calculus III and IV And V.
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! :)
@@kristakingmath I'm doing it :)!
you are such an angel!!! You explain so clearly and efficiently it's amazing
Your teaching is as beautiful as you, Welcome back!!
Missed you a lot. So glad to have you back. Love you teach...
Holy Shit. It's been a while...Like, I graduated and found a job since you last uploaded!
LOL, wow! That's crazy! 😂 But congrats on graduating and landing a job, that's awesome!! 👏
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.
I'm so glad you're enjoying the lectures! :)
Thanks very much it was a very useful lecture please do more lectures.
Thank you, I will! 🤓
So nice to have you back, Krista !!! Stay well and make more valuable videos ! You have my sincerely best wishes !
Thank you so much, Voayer, I really appreciate it! :)
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.
This video was amazing and I truly appreciate your effort
Thank you so much, Anubhav! I'm so glad you liked it! :D
thank you so much! this helped me pass my unit test, really appreciate it!
You're very welcome, yas, I'm so glad it helped! :)
Your channel made my calculas fun
Thank you so much, that makes me so happy! :)
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!
using this to study for my calc AB test bc my teacher sucks and didn't teach us :((( thank you so much!!
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
I hope the test went great, Sydney! I'm happy to help! :)
Hey, Allie! Glad you liked the video! :)
35:50 greater than and less than 0 could also mean indeterminate right? I’m not a calculus student I was just wondering because I used a calculator and it said (0, undefined).
You are the G.O.A.T. PERIOD!
Welcome back my best teacher.. My sister.. Missed u a lot.
Missed you too, I'm glad to be back!
Omg you're back!! Nice to see a new video from you
Thanks, Ross! More videos are on the way! :)
Thank you for the video.
You're welcome, Tripto! :)
The return of the King
I can't believe your back it's been ages😍
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! :)
Welcome back. Keep up the great work.
Thank you so much, I will! :)
46:36 am I missing something because I thought rational functions were not continuous
Marvelous!! Big fan from Brazil!!
You just saved my life!
39:20 Don't we just call that an asymptote & 40:00 don't we just call that a hole? But yes my teacher mentioned it's the only one that can be fixed
My goodness teacher is back
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.
I'm hoping to add more content over time, so I'll try to get to these topics too! :)
Hey Krista, im in Calc BC right now and im trrying to stay ahead of the AP exams im taking in 4 monmths! this video was a great revewi for thr stuff i learned earlier in the year!
Heyy I am planning to take my AP Calculus BC in 2k24 may I get a few tips from you like how to start and what study materials do I need to use and about lessons as I am poor at maths and I need to start rn if I need better scores.
@@akhilY-ti3zj i got a 1
This is helpful thank you Megan
You’re welcome
You’re so cute!!!!
@@meglilsutt Thank you :)
OF COURSE I FIND THIS AFTER MY TEST GOD DAMMIT