What is calculus? (KristaKingMath)
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- เผยแพร่เมื่อ 13 มี.ค. 2013
- ► My ebook: www.kristakingmath.com/calcul...
"What is calculus?" is a question many calculus students never learn the answer to!
Understanding what calculus is before you start learning how to use it will give you a better context for the whole course.
Calculus is the mathematical study of change, in the same way that geometry is the mathematical study of shape, or that trigonometry is the mathematical study of triangles.
Derivatives and integrals are the major concepts you'll learn in calculus. Derivatives allow you to find slope (rise over run), and integrals allow you to find area.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
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I failed Calc 1 three times.. had to transfer to a different community college to finish it.. then through hard work passed Calc 2 and 3. It took me over three year to complete calculus. I hope to whoever is reading this can get some type of motivation from my story and realize that if you try hard enough and put your mind to it you can accomplish anything including passing calculus. ( Krista's videos help also lol )
How amazing, I passed my engineering calculus exam without knowing what the hell am I studying...
lucifer t.m.s exactly is the case with me too.i completed master degree in physics, but i don't know what i studied.i studied quantum mechanics in physics but haven't understood anything.
Typical, a lazy engineer.
@@sandeep2435 I am taking Electricity and Magnetism, just second semester physics, I want to die
Me: allow me to introduce myself.
I love that all of us (and others) are posting this content online. I learn so much from TH-cam, and it's awesome that we can all share our knowledge here with each other!! :D
I don't need coffee anymore, in the morning. Wake up to your energy, and bam!: "ON".
Your enthusiam when talking about calculus is over 9000! I love it. *was studying for a calculus exam but now watching all of your videos*
:D
do you have adobe reader on your computer?
I'm glad I finally know what calculus is...probably would have been good to know this when I actually took Calculus. GRT VID!!
WOW! Thank you SO much, Krista! I had done a handful of other videos in the past but only one that was on-camera. I'd been procrastinating like crazy, but was so inspired by seeing you all take massive action in such a short time. Your enthusiasm is so encouraging!
Omg, i can't thank you enough for this wonderful ebook. This ebook is probably the greatest gift i have ever received to help me with calculus. I mean its not just all words and equations, but there are also video links to further help out. People like you are the reason why people like me (students) have some motivation to learn calcoolus.
NoA Naga Thanks for the feedback! I'm so glad you like it!
I think most people feel the same way when they take it! Thank you so much for watching and for commenting and supporting me! I felt so lucky to have won! :D
Can you please tell the name software interface you used to teach.
Good pep-talk! I strongly believe mastering calculus or math in general have great benefits, as they provide means to obtain answers... and clearly a competitive advantage.
you're the reason why i'm so good at calculus + why i'm so intrested in maths so ..... thankyou
Im in Swedens version of highschool second grade out of three(I'm 17) and im currently taking the Math 3 course. We are working with dervivatives. I know all about them, got an A on the test. How does this differ from the derivivatives in calculus? I mean I can decide the speed of change on any value of X, and how the function looks. What more is there to know? We are working with integrals the rest of the course until christmas... Is calculus simply harder or does it introduce new things?
hi, i have just downloaded your calc1 ebook, since i dont have problems in math but want to read some other explanations about subjects im asking you, will you make ebooks for higher 'grade' calc classes? 3 or so?
You can explain this dry science in a cool way, you are smart and talented
mam,i watched all of your videos in limits chapter.they were extremely helpful.thank you.where can i find your e book thankz.u are the best
Krista, the link to your ebook isn't working (at least for me). Where can I download it instead?
+Very Merry Dingleberry Sorry about that! If you send me a private message through TH-cam with your email address, I'll email it to you! :)
Anyways, I have been teaching Calculus for about 4 years now and I am always willing and excited to help.
Love your energy and humor, Krista!
Thanks for your video. Does calculus tie into the idea that a particle/wave's direction of travel and position can't be known at the same moment?
SHEILA oh my gosh, your video is GREAT, I am completely blown away!!! You had the attention grabber and the intro buffer and even the outtakes at the end, hilarious!! You did such a great job with your jump cuts, and for your FIRST video, I mean... honestly lady!! :D You are the best example of being brave, getting in front of the camera, doing the editing, and having fun with it. Congratulations, you are amazing! Keep it up!! I, for one, will be following LittleDogDaily for sure!! :D
I'm trying to get a bit of an early insight before I start University next year (Computer Science Major).
I've purchased a few books on the subject, but I sometimes find myself lacking the motivation to continue on with my early studies; although, I have to say that you're definitely keeping me motivated with your cool videos!
Keep it up.
ive been in calculus for a bit this semester in college and always wondered what it truly is. Prof. didn't say the actual definition, thanks I appreciate it!
Just wonderign what's a good dvd to supplement essential calculus by larson. ?.
There is a link in the description. :)
hi krista where can i find the e book. Thanx
Hey Chris! Email me at help@calculusexpert.com and I'll send it over!
i went to a workshop at creativeLIVE this week, and we had to make a video in the studio. that's James Wedmore helping me with the apple and talking to me off camera. i've made every other video by myself, but this one was really fun!! :D
I am a 15 years old austro-romanian guy... I am doing an highschool that prepares a student into engenieering, is it good if I learn this entire thing earlier?
Calculus is a new way of thinking about MATH... As a math Major with an emphasis in Statistics, It is a whole way of thinking. It is a whole new concept.
Hey Krista, i am in grade 12 now and i want to study actuarial science next year. I want to prepare on advance by using your courses on udemy. Which courses should i do to prepare for my firts year?
That's really COOLLLL!!! Nicely done - unique way of explaining things - the opposite of boring ;-) THANKS!
Right back at ya Sheila! I was lucky enough to be in the live audience and be forcibly SHOVED off the cliff :), but I'm totally inspired by how you've taken action at home... it's awesome!! Let's stay in touch and hopefully we can help encourage each other to keep it up!! :D
It won't let me get the e-book. I open the link and it says error :(
The website has changed causing the error, sorry about that! But please, feel free to email me at help@calculusexpert.com and I'll be sure to get it to you!
You were such a big help in my first year at uni. Love your work!
+Aiden Gonzallez Thank you so much, I'm glad the videos helped!
Quirky and engaging, you'd be an awesome teacher, if you aren't already..Good video!
+L Kururugi (The Apex Truthseeker 荣誉) Thanks!
Ev, WOW! I'm completely honored, thank you!! I'm so happy to know that my videos are helping you a little bit to succeed at such a high level!! Good for you for going back to school and working so hard to do something you've always wanted to do! Keep on being awesome!! :D
I'm doing very well in my calc classes because of you!! you are so precious!
wow i understand it completely once you said that its the study of change but unsure if i do never done calculus
They are definitely important, but if you don't have them all memorized, you'll still be okay, so don't worry too much! I think the ones I would pay most attention to are double and half angle formulas, which you'll use to simplify integrals, basic trig functions and their relationships to each other, which you'll use in limits, derivatives and integrals, and pythagorean theorem, which you'll probably use in applications of derivatives. :)
Honestly, all of your videos helped me pass Calc 1 and 2. Thank you so much!!!
You're welcome, I'm so glad the videos helped!
Krista, your videos are both educational and inspiring. I am 28 and made the big decision a couple years ago to return to college and pursue my dream of attaining a PhD in Psycholinguistics. It is because of individuals such as yourself that tirelessly make available quality information that I am now a straight A student. Keep up the amazing work and know that it is deeply appreciated.
I'm taking Calculus 1 this fall semester, and my algebra and pre-cal is not strong at all, is this going to be a big problem for me? I have half a month to prep, what should I do?
brush up on your algebra! :) there are lots of vids on youtube, they're a good place to start.
I didn't intend to put them in a ranked order, I just wanted to mention a few applicable fields! :)
I can't access the ebook. Can u email it to me? It says it doesn't exist :(
This link should work: learn.kristakingmath.com/calculus-ebook/ If not, feel free to email me at my website.
WOW, thank you so much!!! LOVED this creativeLIVE workshop! They continue to produce amazing content, and James Wedmore was incredible! So fortunate to have been a part of this event in person!! :)
Thank you sooo much!! I'm so optimistic about what's to come!! :D
Indeed thanks for the ebook and your channel.
I wish I could tell you more, but I can't really say... I never looked for a job in Psychology. When I got out of school I started working in marketing and then I did staffing and then I did IT. Now I'm just doing integralCALC! My understanding is that you can't do much with a psychology degree unless you have a masters or a phd. :/
thank you ma'am to provide all videos lectures👍👌😀
I've been learning quantum mechanics and general relativity and I'm at the point where I NEED to understand the mathematics behind it all in more depth! Your videos are very helpful, thank you!
electrocat1 quantum physics ftw!
spooky action at a distance
Yeah spooky action at a distance!
electrocat1 spooky AF
+electrocat1
What level of math do you need for modern physics? What would you recommend for those of us who are interested? Oh and the spooky action at a distance has recently been shown to violate local realism, bell inequalities with NO LOOP HOLES! What a time to be alive.
How to learn to read these graphs @ 1:46 ?
hey, i'm so glad you like my videos and that they've helped you! i'm sorry i can't really help with physics, but good luck in your class! :D
Is there is a free E-book? where?
I’m an engineering student now and I look back and wonder how I ever hated calculus, it makes things so much simpler if you know how to use it
Thank you very much!! And thank you for watching and commenting, the support feels GREAT! :D
Thanks! downloaded the ebook and finally a video that explains calc so well
That's okay, I just appreciate you watching, AND commenting! Thank you so much!! :D
THANK YOU, James, for so generously sharing your knowledge and changing the course of my business! Could not have finished your course at creativeLIVE feeling more optimistic, or seeing more clearly the vision for the future. YOU ROCK! :D
Thank you! It feels great to be putting myself out there and seeing some success as a result! :D
hot math teacher *drooling
Krista, I greatly enjoy all of your Calculus videos. You are brilliant, explain so well, very personable and just plain nice. Thank you very much. George
Thank you, George! That's very kind of you to say! I'm really glad you like the calculus videos.
It was great seeing you guys film this live at CL. Its fast paced, quirky, and really funny. You should totally make a new version of this video.
Thanks! It was a lot of fun. :)
Krista, you are good at this ... I wish you all the best! ;)
Apparently Archimedes discovered calculus, but it got rediscovered a number of times. But go Leibniz - he did good work. I'm starting to read Whitehead and Russell's Principia Mathematica because of cryrpto-anarchy, cryptography, computers, and Alan Turing's epic adventures.
Leibnitz created the universal notation that everyone uses today.
Archimedes did not create Calculus. . Leibniz and Newton are responsible for the basis of the Calculus as known today. I do remember that Archimedes has aquired some impressiv results WITHOUT Calculus (and that's what makes his achievements so impressive. He was able to develop a formula to calculate the area under a parabola and prove it! But that he did by diferent means, he didn't know Calculus and the fact that the same result can be today easily obtained with Integrals is only a proof that he was right.
The link to the ebook doesn't seem to work.
+Sirena Sorry about that! My website's changed since I published this video. If you send me a TH-cam message with your email address, I'd be happy to send you the ebook.
Thanks! I've already got some videos on differential equations, hopefully they will help get you off to a good start!! :)
As long as you have the skills for another job, I don't think the matching degree is particularly important. I'm sure you'll be able to find something! :)
I'm still getting use to the new channel page as well. My understanding is that video autoplays for non subscribers. Have you subscribed?! :) Either way, I'll continue to look to improve my channel page. Thanks for the feedback!
Thanks! Glad you like them! :)
Thanks Krista best teacher on line
Hi Michael, I'm sorry for the confusion! :( The ebook is free, you just have to enter 0 in the box for price. If you enter 0, the system won't prompt you for credit card information. Thank you for your comment though; I updated the wording on the download page to make it more clear. :) I really hope that helps! :)
YES! Glad you thought so... I worked hard to try to fix it so that it sounded good! :D
Thanks! I'm glad you feel that way. That's always what I'm hoping for. :)
Maybe it'd be "a durian a day keeps the doctor away!" :)
Hi 👋🏽 are you okay?
I love this video especially. It really helped
Thanks so much.
That's so cool! Let me know when you get your video directory done... I'd love to see it!! :D
Thanks Timar!! You have been so supportive throughout the whole workshop! ;)
Laura, thank you so much! It means a lot to me, especially coming from a fellow introvert; this stuff is not easy! I love Khan and Vi, and things like Coursera, Udemy, BenchPrep etc. are great! Hopefully there will be more partnership opportunities in the future. For now, I'm so excited to start implementing everything James taught us!! :D
The link to the ebook is not working.
email me at help@calculusexpert.com and I'll make sure to send it to you!
Beautifully done! I love your energy and passion for what you're doing
which is more useful? integral or differential. which is more fun?
Nice way of teaching Krista :D
Following few weeks are dedicated for your courses.
Awesome, thank you so much!! Loving everything that James taught us about keeping people engaged! :D
The link to the ebook is damaged :/
If you send me a private TH-cam message with your email address, I can send it to you.
i could you watch you for days and weeks not getting to the point :) beautiful, funny and smart
Glad you like them! :D
Calculus is the language of STEM. As a 50+ year old practicing physicist I use calculus every day. Thank you for promoting this beautifully powerful part of math.
Thank you John, I'm honored to do my part! :)
RIGHT?!! LOL, thanks Wayne!! I'm so pumped for what's to come!! :D
Wow, very smooth definition to calc and the fact that your absolutely Gorgeous is plus! :) I have to take calc for my computer science major. Hope your vids will help.
Hi Eric! You are so sweet! I did check out your website, and it's great! I love your mission and I really hope you got as much out of creativeLIVE as I did! It was such an incredible experience for me, and I hope you got just as excited watching it online! Thank you so much for all your support and love!! It makes me feel great!! :D
Great energy! An you DID make wanting (or having) to know Calculus look like it could be (somewhat) fun. Thanks!
Hello, my name's Francis, I''m from brazil and I'm studying Atmospheric Sciences, I'mm so glad about your class here, I can understand calculus here better than in my college, you is the best teacher I have, thank's a lot
Most people on TH-cam do comedy or music to get famous , but you teach calc and its just fascinating !! Although its my first year year in calc but I do enjoy it . We really appreciate your work on these videos . Plain and easy to understand , plus u r awesome . Again thank you so much :) u r a life savor
Wish i had a teacher like you, when i needed to understand the basics of calculus before i became a lousy engineer.
You're so nice!! I'm so glad you're enjoying calc so far! I hope you continue to enjoy the videos!! :D
I have never been to excited to learn about math! This actually helped!
Regarding your psychology major, how is the job prospect? My scenario is similar to yours, I discovered math/ engineering too late into my college education to major in it (I got two years left). I am an Economic major right now because I heard it can get me a good job so practically I am doing it for the money. But I think I prefer psychology (and I can finish it in time) because it is more interesting than economic to me. I can also minor in math. Any advice is appreciated.
I love the beauty and energy you bring into mathematics! I am a CS major and although computing is my field, I have grown to appreciate the many roots and applications of math/physics that both bind and expand my field. An important part of teaching is first getting someone to be excited about learning a subject in the first place.
Sorry. Differential calculus is finding each and every INDIVIDUAL component of a Whole which can be represented mathematically.
What is an individual component you might ask? It is a component which is dx (not Dx) wide. Of course its height can vary. (Even the second and third differentials or components are dx wide but their height is progressively one order of magnitude less)
Typically the individual component is called dy or differential (if it is the first in a series).
Integral calculus is just the reverse i.e integrating or putting together the components. IOW getting the Y from integrating the dy(s). The Y could be an area or any other "whole" or integral depending on what the individual components or dy represents.
Now what is dx, you might ask? It is 1/N where N is an IMMENSELY large number which is not infinity.