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Exact same thoughts. Couldn't really wrap my head around this one so I just wrote down what I needed and moved on. Hopefully it'll make more sense as it's put to use.
There is no way somebody could learn calculus from this, even though the presenter is great. I found it hard to follow and I am a mathematician. Maths is so essential in physics that you need many videos that introduce the mathematical concepts fully and slowly, so that you can reference them in the physics videos.
Current physics major here. As someone who feels that they can do calculus in their sleep, I still feel that you guys are rushing the math concepts and make it very difficult to follow. It may be good enough for someone who's seen this stuff before, but I feel that anyone coming to this video to discover how cool and awesome physics is with little knowledge of the subject is just going to end up overwhelmed. What I like about the other Crash Course series is that they can still be super entertaining even though this isn't something you are currently studying. This video feels too alienating for people who don't know physics and want to learn about it, even if they would only get a few key takeaways.
+DarkMatter2142 - Thank you, this was my thoughts exactly! They're rushing through it all, without explaining it very well. I've had several university level physics and calculus classes, and It still confused the hell out of me at times. This format is NOT fit for physics or math. All it does is scare away newcomers and making people who already know this stuff, nod their head because we already know this stuff.
DarkMatter2142 Anyone who feels overwhelmed by this video, as opposed to seeing it as a challenge to rise to, is not likely to do well in math. The real problem is going to be the people who get a false sense of expertise. I'm talking about the kinds of people who think they understand quantum mechanics after reading about Schrodinger's cat, but couldn't tell you what the units of force are.
+IchBinEin It's not suitable for maths because it's lacking a modicum of rigor, not because this extremely soft video is "confusing". For example, the epsilon-delta concept of continuity is foundational to the mathematician's perspective of calculus.
I'm 13 and was fine so you might want to rethink your statement. This was the best explanation of derivatives I've found on the web so far and was super helpful for me
Calculus is easier to learn if the student does not know they are learning Calculus. I think it should be renamed "Fuzzy Bunny" or "Warm Purring Cat Hug".
In Sweden we don't divide maths classes into different names, like arithmetic, trigonometry and so on. We just have math 1, 2, 3 etc. When we get to "calculus" in the maths books, it's referred to as Second grade equations, so it's just the natural step up from first grade equations which are pure algebra.
I remember solving algebraic equations when I was six, the only difference in doing it then and when I was sixteen being that instead of solving for x, I was solving for an empty box...
FYI if you're watching this video to get an idea of how Calculus works, it's not going to be very helpful. I'd recommend watching all of mathbff (Nancy Pi) videos on Limits, Derivates, and Integrals. Then, if you like (and you will, trust me), you'd want to watch some of 3blue1brown's videos to get a more intuitive understanding of how Calculus works. Just remember this, don't ever give up. I remember watching this video about a few weeks back, and having so fluccing idea of how stuff works. Because, as she mentioned before, the aim of this video is not to prime you for Calculus, but show you how Calculus and Physics go together. And uh, best of luck out there, mate. *You can do this.*
+Angel Angelov If you think it is not hard, you simply haven't tried any hard problems, but just the stuff you get at your university calculus courses. There are a lot of formulas, which haven't been integrated successfully by any mathematician yet, so if you think it is not hard, give them a try. Math is a lot more than just learning a method and applying it (simply expecting it to work)
+Frank Schneider Calm down there bud, he said "not that hard as you may think", which I take to mean "not *as* hard as you may think." There are lot of people out that that believe they're terrible at math, when they simply haven't given it an honest effort or haven't been taught correctly. In reality many of these individuals probably do have a real affinity for math, and could one day take on those difficult and elusive ideas you mentioned. Don't knock them down before they even get a start.
***** I even agree with you to a large degree. But I think the major problem is that "not being good at math" has become more and more socially acceptable over the past 30 years in all industrialized states all over the world, and people even brag about it at parties to gather sympathy instead of being called out as the idiots that they truly are. If there would be more social pressure (like there actually is on illiterates) people would be more willing to overcome their innate fears and laziness.
+Physics Videos by Eugene Khutoryansky Not forever, right? Eventually, this condition would force a huge population growth to continue the rate of video consumption ;)
dear CrashCourse editors, please be careful that when you cut between takes, remember humans breathe and take pauses between each sentence! You've made a wonderful host with a lovely voice sound like a person that babbles on with no stop and goes on and on which is just unfortunate because I'm sure you're hating on this run-on sentence just as well since you're a sensible human being yourself but there's no way you could know until you reviewed your own video with no script at hand to realize the subtle but huge difference it makes. with love, person who made the same comment couple years back for Hank Green.
god bless this comment. I think I'd understand this a whole lot better if it was a 12-minute episode with the same amount of information, but more pauses.
Its 'crash' course, so its like they're crashing in the max amt of of info in the shortest time....in case ur studying just a day before exams...and u can't afford to dedicate hrs to every topic. Anyhoo, I agree its fast but you'll catch up!
+Ishama Marium sure, but it's the difference between watching a 10 minute video 4 times versus watching a 12 minute video once or twice. If you can think about these concepts it makes a huge difference in how much you'll understand something. I'd say the video as presented is useful for understanding the "what" but not for understanding the "why".
They could do some of this stuff with really basic algebra, but it would get to a point where they'd need to go back and reteach everything else with calculus. They'd be wasting their time and wouldn't be able to get past the basics without basically filming the video twice.
I'm sorry to criticise, really, but I think this explanation is more confusing than helpful. There are just too much unfamiliar concepts explained without enough dept, it felt like I wouldn't have understood anything if I hadn't known the topic beforehand.
this is just a crash course guys, it's supposed to go fast and sometimes doesn't go in depth. To understand better I suggest you use other resources like a text book or other youtube videos
This series is going in the complete wrong direction. If you are trying to do calculus based physics, then you are alienating a great deal of your potential audience. I use Crash Course Chemistry and Astronomy in both Freshman and Senior level Physical Sciences. They are scaled for use for different age groups and capabilities. This series is beyond my basic Physical Science students (14-15 year olds), and has a greater mathematical focus than conceptual or algebra based physics courses. In short, this series just jumped to a tier outside a huge portion of its potential audience. Try to focus on conceptual ideas, and help students understand the math in terms of the relationships between values.
I love math, I love geometry, I love physics, and I love learning this stuff - but it always seems like mathematical explanations move too fast for me or make leaps that I can't follow, especially when it comes to physics. I watched this video and still cannot understand what a derivative is. Limits are easy for me to comprehend, but every time I try to learn this it goes over my head. It doesn't seem to matter what resource I use. What am I doing wrong?
Think of a derivative of the rate of how something changes. Like for instance, let's look at speed. When I change my speed once, and immediately, then there was no derivative, because my speed had changed, but the time hadn't. It happened so quickly that my speed had changed but *at that very instant* My speed went from 0 to 100 in 0 seconds, basically, so *100/0 = 0*, and if it was plotted on a graph, it would be a line that changes its gradient at some point immediately. But if my speed changed periodically, in other words if I was accelerating, my speeds would have changed from *0 to 4*, then *4 to 9*, then *9 to 63*, then *63 to 100*, if I plotted that on a graph, it would be a curve, so doing distance/time to get the speed would be only an approximation, that gets more accurate and accurate as I make the changes smaller. Problem is, it's too much work that doesn't even lead to the real answer This is where the derivative comes in, as it basically sums up all those small changes and allows me to find the *EXACT* speed at a certain time. For example, by doing that laborious work, my answers would be like 8.00000000000000043 m/s, but with the derivative, I can get the *EXACT* speed and have 8 m/s. I know it seems like there's no point of all that, but it's very helpful in situations where physicists are trying to work with really small changes in space, or bullets or whatever it may be. I hope this helped you (EDIT: Think of the derivative *AS* the rate of how something changes)
They shouldn't be teaching derivatives in a physics course. Go to the Khan Academy calculus playlist and watch the introduction to derivatives. It is so much more detailed and accurate, and besides, there are clear errors in this video. Never leave teaching mathematics to the physicists.
+Nikola Tesla Well in this episode you subtracted 1 from the exponent and added to the multiplier the previous exponent count... Guess what you'll be doing in integrals ? Well like said in the outro, the reverse. This is math, not physics... but yeah, it was a Physicist that actually "invented" all this... Isaac Newton. But he was multiple things. Well, actually it's very likely that he stood on the shoulders of giants that are well unknown. But what ever.
+Jarno Mikkola The way I learned it, those giants were well known, and they were neither you nor I nor anyone that Newton could have personally known. And that was the point. Newton's quote wasn't coming from a position of humility. Instead, he was claiming that all of his contemporaries were merely midgets and the work he'd done was built upon those that were far superior to all of them. Isaac Newton was not a physicist in any sense of the word as we use it today. Isaac Newton was, in his time, a savant. He could just as accurately be described as one of the foundational alchemists, had alchemy been shown to be an accurate description of reality.
Props to you Shini for trying to explain what differential calculus is in 10 minutes, that's a tough feat! Looking forward to seeing where the rest of this course is heading.
This was my 5th watchthrough of this video, and after a month of Calculus, I'm finally starting to grasp the content. Props to Crash Course for information density, and for being an incredible, beautiful free resource! Thanks!
I would like to thank crash course physics, biology, and anatomy & physiology for helping me a lot pass my grade 12. As of now, I am a medicine student at the University of Namibia and I hope you guys can help me get through this course. To be honest really at the moment I miss Physics and Mathematics.
Ok honestly: I understand all of this because I already learned it back in school and can somewhat remember it, but if this was the first time I heard about it I probably wouldn't be able to follow very well. The requirements to this course seem a bit higher than they tend to be for crash courses. Still well presented though.
+NotMeButAnother Same exact thought. I know most of these ideas. Although I have to say I don't yet know about derivatives. and yeah, I couldn't follow along, if I didn't know any better I would be scared away. However, I do know how fun math and physics can be, how rewarding, and actually, EASY. I mean, if you take your time, learn from the ground up, then you'll be able to understand everything, even the complex ideas, because everything complex is made of simple things in math. From a few simple fundamental ideas you build up, then from that you build more on top of it and so on. It's actually how math started. Basic logic. I 5 fingers on a hand, I have another 5 fingers on the other hand, so two hands have 5 fingers, 2h=10, so maybe I can figure out how many fingers a hand has, clearly 5, but how can I express that so it will work for other things. Let's see, I know that 10 distributed to two hands is 5. So maybe it's h=10/2, oh I see, if you divide on one side of the equation what is multiplied on the other side of the equation, your equation still stands true, and this way you can find an unknown number.
Why not a crash course in calculus instead of try to fit it in physics?, Calculus it's a very nice topic and it deserves full attention instead of only seeing an over simplified arcaic version of it.
I'm a freshman in high school right now and I'm taking precalculus. Next year I'm going to be taking AP Calculus. Junior year, I'm going to take physics. I'm really excited for this series, especially the math.
+BenCubed welcome to the stem club, as a freshman in uni, ive been doing this for a while, the road gets crazier, but just remember that you like the subject, even though you may hate the teacher
While the explanation of derivatives was spot on, I feel as though the way you explained limits can only be understood by someone who already knows what they are.
She is really smart and nice so the fault is really with me, I just heard 10 minutes of words...... I need to get into math so I can come back and understand this video.
+Cangel Tibon As I noted in another comment this episode needed to actually show graphs for everything she was talking about and explicitly show that the graph of a derivative is tracking the slope of the equation it's a derivative of.
+Cangel Tibon Yeah, it may help to watch it again, and pause it after each new kind of problem is introduced. Work a few examples with made up numbers to get a feel for it, and move on. Unlike a lot of CC, this material isn't "saw it, now I"m familiar with it". You have to give it time to change your brain.
Just stating that d(x^n)/dx = nx^(n-1) without explaining how that comes about (or even really defining what you mean by differentiation) is: 1) Not even slightly maths or physics 2) the sort of thing that puts people completely off maths and physics, making it seem like it's just something that has to be learnt rote. 3) Not even slightly interesting. That d(x^n)/dx = nx^(n-1) is just a completely boring fact if you have no idea how it comes about.
A real nice video, but I must say I died a little inside with the graph using degrees, even if it was probably the right thing to do from an educational point of view. Can't wait for more!
I am amazed, never thought crash course would cover something so complicated but important as derivates :) I really like your aproach at explaining them, it took me a lot to understand them in high school, keep up the great work
+k1dicarus; Yes indeed. I know this subject very well, but still I have difficulties following her. She speaks fast and editors cut out small pauses between her sentences. It is as if the producers of this series is more interested in visual design than in making the content comprehensible.
I am so glad she did this. It really undermines the work of newton and countless of other physicists hard work when teachers/professors teach it algebraically. I understand that for most high school classes though, they don't take calculus, but Im just happy to see it is being taught the right way.
Great job with this presentation. Would've loved to see these concepts in the economics videos though, since calculus is fundamental in the study of economics. It is truly a wonderful branch of mathematics.
I'm so glad they're beginning with calculus. Calculus was made for physics and it's very helpful to understand physics in the context of calculus. Good job crash course!!!
My biggest regret in life is that I didn't take interest in high school maths, all my Math teachers sucked at teaching which was very frustrating and put me off the subject in a major way. All my science teachers were awesome and thus I love science, I could never be more grateful for that.
In order to understand the importance of everything she says, if you haven't taken Calc or Physics, you'd have to pause every 30 seconds and think about it for an hour
Great video for reviewing these basic notions if you already know them. Might be slightly too fast paced for a first encounter, but that's just a gut feeling. Thanks!!
I've gone through Calc, Calc 2, and Differential Equations, but this crash course is confusing me. I understand the material, but this feels like content overload. Too many concepts being introduced at the same time. What's worse, it feels like these concepts are being introduced without being defined properly.
+Xedma if you gone through those courses, you shouldn't have much trouble understanding these episodes. You should review your lecture notes since this is pretty much the first 20 pages of any undergraduate physics textbook.
My apologies. I thought you meant " this crash course is confusing me" Misinterpretations sometimes occur. But, you're right. It's lacking in content however crash course is 10 minutes long and shouldn't be used to fully learn a subject but just to give people enough passion to want to go and study it themselves.
Gosh darn it! I had my pre-physics maths exam on Tuesday, this would have made perfect revision! Thanks Shini, I'll not make that mistake twice, Crash Course marathon time! :D
This feels brief to the point of confusion. Why introduce limits when they're only connected to differentiation by a hand-wave? Surely you can skim physics without scaring people off with calculus, even though actual physics runs up through graduate-level math.
Everyone has their own strengths and weaknesses, but I personally found Combinations and Permutations much easier than Calculus, it just made more sense to me, and Calculus seemed to get a little too abstract for me (also I had a bad teacher for it)
+nGon- I'm sure it all also has largely to do with what level you are at for each math and how it was taught. For me, I grasped the level of permutations and combinations I needed to learn quite quickly, and I was enjoying it a lot. For Calculus, it didn't go so well, it was harder for me to remember everything, and I think a big part of that might have been the notation and how it was taught. Also, I had a pretty bad teacher for it, who was also my teacher for the prerequisite course, so that didn't help me with my understanding at all. Basically, I'm just saying that it all depends on the situation: who you are, how you learn, how you were taught, etc.
+nGon- Ah, that makes sense. My teacher for Data Management/Statistics didn't follow the textbook like that, she said the textbook didn't explain things well so she made her own lessons that taught what we needed to learn in a more comprehensive way than the textbook does.
+nGon- I can assure you, whoever told you that, doesn't really know what he is talking about. Calculus uses practically the same notation all over the world (no matter if Europe or US), the one that was introduced by Leibniz and that's what everyone is familiar with. There is indeed an alternative notation, which was introduced by Newton is nowadays only used in for physics, where it is not unfamiliar, but also not extremely common (independent of the country). The Leibniz notation (d / dx etc) is the one also used in this video. So in Leibniz notation v=ds/dt and a=d²s/dt²=dv/dt , equals in Newtonian notation v =s dot and a = s dot dot = v dot (where "dot" is simply a dot above the character). No big deal
I'm a big fan of these shows. I'm a physicist and always enjoy touching base with the intro material. It helps with retraining, and especially learning new teaching techniques, styles, and explanations. I do have one comment though: Math is the language of *all* sciences, not just physics. As a mathematical physicist, I wish that you were 100% correct, but biologists and chemists all use mathematics. The integral (pun!) use of mathematics is what defines "hard' vs "soft" sciences (i.e. Psychology does not *require* math, but is also a science). Students might need to watch and re-watch each episode, but I think that your show will make a big difference in teaching for the future. I personally will require my students to watch each episode as a precursor to lectures -- and quiz them on it! Above all, thank you for producing this show. Thank you for bringing physics education to youtube and for being very creative about it!
I physics class is in swedish and we don't get to learn the english words for the units. It really makes me sad when I understand well in physics class but scratch my head when I watch a crash course in english about it
We have the same units, just different names. Write down the words from this video, it is good to know the words in English if you are going to be an engineer or likewise. And he doesn't mean the units, these are almost the same in Swedish (sekunder, meter, kilogram, grader (degrees)). I think he mean like velocity and stuff (we just say delta-meter, delta-tid etc)
maybe you should have do e maths separately? aaaaaanyways, this is pretty awesome nonetheless. also, where do I know that woman from? it's driving me crazy!
+Noah Topper Hell, physics is probably the best possible venue to explore calc. Without the real world context provided by physics, calc can easily become a slog for many people because it's essentially memorizing methodologies without understanding their utility, which is just one step above memorizing facts by rote in terms of being an interesting activity.
+Espo Games Your course availability should clue you in to the requisite understanding in other subjects that is required for you to take that course. At some point soon, you shouldn't expect "crash course" anything to be relevant to what you are learning.
This is turning into everything I _wanted_ crash course chemistry to be! Finally we get some actual practical application (and calculation) with our theory!
+CrashCourse Finally one program that admits that you need maths to understand physics. I am really tired of hand-waving away differentials because it's easier to tell a story without. I'm eager to see how far you can take this. :)
***** We had shity teacher. I saw derivates at uni for the first time. and yes it was more difficult that this and there was more of it but huge part of it is included in this video.
I noticed some folks upset at how quickly this went, and I have to say that this was certainly a fast look at derivatives. If only there were a way to replay it and pause and think about what she's saying for a more in-depth look.
Shit, she could explain derivatives without limits, limits are the stuff that prevent calculus of being used in high school... oh shit, very bad video.
If you're in middle school or lower, go to CC History and come back in a few years. Enjoy your life before everything becomes Calculus. Please. It's for your benefit.
I really want to like this series, I REALLY do, but the the math is so rushed that by halfway through each episode so far, I'm to confused to continue... I think physics is incredibly interesting but I have had no need in my academic or professional career to have this level of mathematical understanding, so I don't. Therefore, this is just a confusing bunch of numbers to me and then I lose interest, then I don't get anything out of it... Could we maybe do a calculus cc first or something?!
+DerEchteSenf I don't think that's the point. This is supposed to be a "crash course" meaning minimal involvement. I have a job, academic studies in a different field, a family, and a sorta neglected social life. People in my position want to learn something new but in a brief and relatively digestible way, not pass spend hours studying as if we're trying to pass a course. If I have to pause, rewind, use multiple scratch sheets, start-over, etc. then is it simply not worth the effort. I might as well buy a physics text book and learn it on my own, entirely defeating the point of making a fun Internet video on the topic. Take any of the other cc videos and you can see they don't make it nearly this hard on the viewer. That's why this was such a disappointment
+DerEchteSenf obviously we have different definitions of what a crash course on UA-cam should look like. And in a way, yes. I don't really need to fully understand physics. I want an over view, a concise explanation that covers the basics but doesn't necessarily prepare me for a college level exam. This is UA-cam, I'm not trying to master this particular field of mathematics. If I were, I'd be taking an actual course and going to a regular class at a community college or something. I'm pretty sure this could be "dumbed down" quite a bit more actually, or at least have been given some running up explanation of calculus so other viewers could understand the language more. Simply saying "pause and rewind" is a cop-out for a bad teacher
I like Crash Course and I like physics, so when I saw the trailer for a Crash Course Physics, I got excited about it. But it turns out I got a little disappointed with the 1st video and very disappointed with this one. If I hadn't studied calculus in university, I wouldn't have understood anything from watching this video. I've seen animated gifs which made a better job at explaining the idea of using limits to calculate a derivative. This video looked like one of those Mental Floss lists with 137 facts about calculus. Way too many facts, with no apparent line of thought connecting them and no particular reason to pick them. Also, very poor use of graphics and animations. In many moments, it just shows a paragraph of gibberish while she reads it as fast as she can. I don't mean to be harsh, it's just that, after watching so many good videos from Crash Course, I expected more. Specially from a series on a subject I like.
bruh. When I saw this for a split second I thought Crash Course had started a calculus series. Now I realize just how much I want them to have a calculus series.
The first experiment in my high school physics class was position vs time under constant acceleration. We dropped a weight and measured it's position on a light paper tape it pulled after itself, marked every 1/60 second by an electric spark. With a ruler marked in mm, we measured to position of each spark mark on the tape, recording the position of the falling weight every 1/60 second. It is precisely the same situation Dr Somara is discussing. Position follows t^2. Velocity follows t. Acceleration is a constant. We worked all of it out from the experiment.
Idk who writes these but whoever did massively overcomplicated something relatively simple. Derivatives aren't a hard concept to grasp if you're learning from someone who isn't throwing useless information at you to confuse you in terms of what is actually relevant.
+DontFeedTheGaben Exactly. I'm a maths teacher, I spend most of my days explaining this shit, and this video confused me. It's not that I didn't understand it, but more like it doesn't make sense to teach it that way
I know crash course is awesome and all that, but I have to criticize, the ideas weren't presented 100% accurate some ideas where incomplete, like the difference between vector and scalar, and it's pretty fast, I know the videos are meant to be fast, but is that really a good method of learning. I feel like it just scares people away from math and physics. You need to take it slow and explain SLOWLY, and with analogies and such. If you throw a bunch of ideas at people, most of them won't get it... It's not their fault...
+Silver Mirai The point of the video is to review the material, NOT to learn it for the first time. If you are cramming for an AP exam or something, this is perfect and can help you review much faster than reading your textbook which are reallllly long. But I get what you are saying.
Abhimaster2001 It's just constructive criticism, I think slowing the explanation a bit would be a lot better. Give the viewer a little more time to think about what's being presented.
+Abhimaster2001 I disagree. There's not much on this video that one could review. I do think these videos are to give a small introduction to topics, and this particular video is not very good at it.
This episode should have started with her explaining that this episode would be a month's worth of calculus taught in 10 minutes. People are going to be overwhelmed.
I'm a programmer and i wanted to refresh my memory in order to simulate gravity in my program. This starts nice until it gets to much condensed ! This course become rapidly intimidating ! Am I stupid ? Too bad because i really like the idea of introducing scientific concept to broad audience, but when it's not properly done it can do the opposite from what it was first meant to be.
I've been taking cal for 3 months and this the first time I've actually got the meaning behind those terms!! Thanksss. Will u be doing more cal related vids? more differentiation and derivatives
I am glad crash course is doing this physics series and the philosophy one. I'm 27 and studied finance at university and work in that area now. I like philosophy a lot and have been studying this intensively over the past year. Now I've worked through a lot of philosophical and metaphysical questions I'm moving on to mathematics and trying to learn some physics. I still think Its not too late to learn. Learning is a lifelong journey. Many people are scared to go back to the basic building blocks of new subject matter -- especially science, as people don't want to be criticised for doing so. But so be it. Learning is awesome! Beats going out and getting drunk with nothing to show. I do like the other videos here a lot too. Really benefited from crash course world history, that was awesome, and I liked the chemistry and psychology series even though I haven't seen them all. I don't have any feedback to give crash course. The world is a better place thanks to you guys and others like khan academy.
+CTaran Math is the language and basis of physics. Trying to teach physics without using math and numbers is like trying to teach English without using words or letters.
Just because you are too lazy to learn the math REQUIRED to understand and apply science, engineering... Or well... Real life... Doesn't mean it sucks.
it's not explicitly stated, but the trigonometrie set is easy to remember if you put them on top of eachother sin cos -sin -cos for derivatives you move down the list and for intergrals you move up the list and it loops around on itself. This is how I remember it just to make sure I don't make stupid mistakes fidling with graphs or memorizing 4 sets
I've followed the first and second video now. I'm in the business of physics and math. I think these videos are biting off chunks of course that are too large for the length of the video, you are losing viewership to pacing here. Because physics is really physics + math, you have to be really careful about your pacing because you are teaching 2 subjects at the same time. A better approach is probably to use experimentation-centric reasoning (observations > results) rather than dictation-centric (results > observations). Physics has been taught via experimentation for hundreds of years for a reason. It's more time consuming and expensive, but it works. : (
Agree the pace is too quick for the material. Agree experimental basis would be much stronger. I'm fine with the Calc, but trying to introduce differentiation and accelerated motion in such an abbreviated fashion is going to lose most people. Trying to teach mechanics without calc is like trying to whittle with a hammer.
I was always dreading taking physics, but it kinda comforts me knowing it has Calculus since I previously learned this. This video was like a review to jog my memory. I kept being like ooh I remember that or knowing stuff beforehand because it was coming back to me. Thank you crash course for these wonderful videos:)
I just started doing physics in school an I'm always extremely bored, but when I watch a video like this my motivation comes and reminds me how cool is math
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wow nice work crash course i really learnt CALCULUS that i will be needing for PHYSICS in just this video, thanks alot...
From motion in a straight line to calculus is a huge leap
+Diego Stambuk when you add time to the linear motion you just faced against 2D world
Exact same thoughts. Couldn't really wrap my head around this one so I just wrote down what I needed and moved on. Hopefully it'll make more sense as it's put to use.
There is no way somebody could learn calculus from this, even though the presenter is great. I found it hard to follow and I am a mathematician. Maths is so essential in physics that you need many videos that introduce the mathematical concepts fully and slowly, so that you can reference them in the physics videos.
+Oli Green It's a crash course so I suppose prior knowledge is expected
yes.
the could have made these videos into several... and they would have made more money..
and taught it better
That's reassuring
Current physics major here. As someone who feels that they can do calculus in their sleep, I still feel that you guys are rushing the math concepts and make it very difficult to follow. It may be good enough for someone who's seen this stuff before, but I feel that anyone coming to this video to discover how cool and awesome physics is with little knowledge of the subject is just going to end up overwhelmed. What I like about the other Crash Course series is that they can still be super entertaining even though this isn't something you are currently studying. This video feels too alienating for people who don't know physics and want to learn about it, even if they would only get a few key takeaways.
+DarkMatter2142 - Thank you, this was my thoughts exactly! They're rushing through it all, without explaining it very well. I've had several university level physics and calculus classes, and It still confused the hell out of me at times.
This format is NOT fit for physics or math. All it does is scare away newcomers and making people who already know this stuff, nod their head because we already know this stuff.
DarkMatter2142
Anyone who feels overwhelmed by this video, as opposed to seeing it as a challenge to rise to, is not likely to do well in math.
The real problem is going to be the people who get a false sense of expertise. I'm talking about the kinds of people who think they understand quantum mechanics after reading about Schrodinger's cat, but couldn't tell you what the units of force are.
+IchBinEin
It's not suitable for maths because it's lacking a modicum of rigor, not because this extremely soft video is "confusing". For example, the epsilon-delta concept of continuity is foundational to the mathematician's perspective of calculus.
You can change the speed of the video.
I'm 13 and was fine so you might want to rethink your statement. This was the best explanation of derivatives I've found on the web so far and was super helpful for me
Calculus is easier to learn if the student does not know they are learning Calculus. I think it should be renamed "Fuzzy Bunny" or "Warm Purring Cat Hug".
In Sweden we don't divide maths classes into different names, like arithmetic, trigonometry and so on. We just have math 1, 2, 3 etc.
When we get to "calculus" in the maths books, it's referred to as Second grade equations, so it's just the natural step up from first grade equations which are pure algebra.
I remember solving algebraic equations when I was six, the only difference in doing it then and when I was sixteen being that instead of solving for x, I was solving for an empty box...
Yessssss cat hug!
Smart
Logermithism my English is not good
This is why people become Art History majors.
Ha I think that's what my history teacher said
My physics teacher is the opposite
History to physics
"Today you learned about Limits", yeah... The limits of my brain... :(
lol
🤣😂
the limits are imaginary, there are no limits.
Dankprincess woooooosh
@@ishaangangwani6098 lmao it wasn't a joke
I'm a senior mathematics major and I would LOVE to see a whole Crash Course on calculus!
FYI if you're watching this video to get an idea of how Calculus works, it's not going to be very helpful. I'd recommend watching all of mathbff (Nancy Pi) videos on Limits, Derivates, and Integrals. Then, if you like (and you will, trust me), you'd want to watch some of 3blue1brown's videos to get a more intuitive understanding of how Calculus works.
Just remember this, don't ever give up. I remember watching this video about a few weeks back, and having so fluccing idea of how stuff works. Because, as she mentioned before, the aim of this video is not to prime you for Calculus, but show you how Calculus and Physics go together.
And uh, best of luck out there, mate.
*You can do this.*
The awkward moment you realize physics is mostly math.
Physics is governed by equations. Equations are math. Math is fun!
😂😂and math is from my favorite subjects while physics is the most subject I do hate!!
@@Danndon208 Im you, but in the opposite order...
I'm 12 and I know that
@@virusvirus5477 I'm 25 and I don't care
if you start getting into math.. you'll find out it's actually not that hard as you may think and it's fun too
Agreed.
+Angel Angelov
If you think it is not hard, you simply haven't tried any hard problems, but just the stuff you get at your university calculus courses. There are a lot of formulas, which haven't been integrated successfully by any mathematician yet, so if you think it is not hard, give them a try. Math is a lot more than just learning a method and applying it (simply expecting it to work)
I'm not doing calculus yet or anything but I thought my class was a he only one with people thought math was fun in it.
+Frank Schneider Calm down there bud, he said "not that hard as you may think", which I take to mean "not *as* hard as you may think." There are lot of people out that that believe they're terrible at math, when they simply haven't given it an honest effort or haven't been taught correctly. In reality many of these individuals probably do have a real affinity for math, and could one day take on those difficult and elusive ideas you mentioned. Don't knock them down before they even get a start.
*****
I even agree with you to a large degree.
But I think the major problem is that "not being good at math" has become more and more socially acceptable over the past 30 years in all industrialized states all over the world, and people even brag about it at parties to gather sympathy instead of being called out as the idiots that they truly are. If there would be more social pressure (like there actually is on illiterates) people would be more willing to overcome their innate fears and laziness.
Let's hope that the derivative of the number of people watching physics videos with respect to time keeps increasing.
That means that the video is getting more views than it got yesterday?
+Physics Videos by Eugene Khutoryansky
Not forever, right? Eventually, this condition would force a huge population growth to continue the rate of video consumption ;)
+Bill Kong That would be terrific
+Bill Kong just shut up
+Physics Videos by Eugene Khutoryansky Yea, with the second derivative not soon going through zero (no inflection).
dear CrashCourse editors, please be careful that when you cut between takes, remember humans breathe and take pauses between each sentence! You've made a wonderful host with a lovely voice sound like a person that babbles on with no stop and goes on and on which is just unfortunate because I'm sure you're hating on this run-on sentence just as well since you're a sensible human being yourself but there's no way you could know until you reviewed your own video with no script at hand to realize the subtle but huge difference it makes.
with love,
person who made the same comment couple years back for Hank Green.
god bless this comment. I think I'd understand this a whole lot better if it was a 12-minute episode with the same amount of information, but more pauses.
+T-Rex Scruge 10m30s would already make all the difference.
Its 'crash' course, so its like they're crashing in the max amt of of info in the shortest time....in case ur studying just a day before exams...and u can't afford to dedicate hrs to every topic.
Anyhoo, I agree its fast but you'll catch up!
+Ishama Marium sure, but it's the difference between watching a 10 minute video 4 times versus watching a 12 minute video once or twice. If you can think about these concepts it makes a huge difference in how much you'll understand something. I'd say the video as presented is useful for understanding the "what" but not for understanding the "why".
+Nemo's Channel Point! Can't study without reflecting in what was being taught to u
Although I must admit, some practice problems to test our comprehension at the end of these videos would be a brilliant addition.
+emlmm88 +CrashCourse This is a great idea. Crash Course should do this!
Apparently, someone did this: /playlist?list=PLLUpvzaZLf3KB83Ng12Ul4Se8mren_Y4B
Episode 1: Really basic shit, something you'll see in 4th grade.
Episode 2: Fuckin' calculus.
That escalated quickly.
+yrjosmiel73 That is basically the entire physics degree summed up actually, hahahaaaa whatismylife
+yrjosmiel73 *accelerated quickly
They could do some of this stuff with really basic algebra, but it would get to a point where they'd need to go back and reteach everything else with calculus. They'd be wasting their time and wouldn't be able to get past the basics without basically filming the video twice.
+yrjosmiel73 it's going to be constant calculus til end of it tho
+yrjosmiel73 Well, now we can derive how much is escalated at least.
I'm sorry to criticise, really, but I think this explanation is more confusing than helpful. There are just too much unfamiliar concepts explained without enough dept, it felt like I wouldn't have understood anything if I hadn't known the topic beforehand.
Batrax, There was a part 1 you idiot.
Maybe take a calculus class then.
this is just a crash course guys, it's supposed to go fast and sometimes doesn't go in depth. To understand better I suggest you use other resources like a text book or other youtube videos
@@paigemclaughlin4668 Tbh u not only need calc but also physics and statistics since this vid has terms from both
Same, by that I mean my head hurts man
This is the first Crash Course that I feel like I have to watch the episode multiple times to absorb the information.
It's pretty hard.
Shini: The language of physics is math!
Me: *screams in dyscalculia*
This series is going in the complete wrong direction. If you are trying to do calculus based physics, then you are alienating a great deal of your potential audience. I use Crash Course Chemistry and Astronomy in both Freshman and Senior level Physical Sciences. They are scaled for use for different age groups and capabilities. This series is beyond my basic Physical Science students (14-15 year olds), and has a greater mathematical focus than conceptual or algebra based physics courses. In short, this series just jumped to a tier outside a huge portion of its potential audience. Try to focus on conceptual ideas, and help students understand the math in terms of the relationships between values.
I love math, I love geometry, I love physics, and I love learning this stuff - but it always seems like mathematical explanations move too fast for me or make leaps that I can't follow, especially when it comes to physics. I watched this video and still cannot understand what a derivative is. Limits are easy for me to comprehend, but every time I try to learn this it goes over my head. It doesn't seem to matter what resource I use. What am I doing wrong?
That makes considerably more sense. Thank you.
Search for a video about derivatives on UA-cam...;)
I have. It hasn't helped.
Think of a derivative of the rate of how something changes.
Like for instance, let's look at speed. When I change my speed once, and immediately, then there was no derivative, because my speed had changed, but the time hadn't. It happened so quickly that my speed had changed but *at that very instant* My speed went from 0 to 100 in 0 seconds, basically, so *100/0 = 0*, and if it was plotted on a graph, it would be a line that changes its gradient at some point immediately.
But if my speed changed periodically, in other words if I was accelerating, my speeds would have changed from *0 to 4*, then *4 to 9*, then *9 to 63*, then *63 to 100*, if I plotted that on a graph, it would be a curve, so doing distance/time to get the speed would be only an approximation, that gets more accurate and accurate as I make the changes smaller. Problem is, it's too much work that doesn't even lead to the real answer
This is where the derivative comes in, as it basically sums up all those small changes and allows me to find the *EXACT* speed at a certain time. For example, by doing that laborious work, my answers would be like 8.00000000000000043 m/s, but with the derivative, I can get the *EXACT* speed and have 8 m/s.
I know it seems like there's no point of all that, but it's very helpful in situations where physicists are trying to work with really small changes in space, or bullets or whatever it may be.
I hope this helped you
(EDIT: Think of the derivative *AS* the rate of how something changes)
They shouldn't be teaching derivatives in a physics course. Go to the Khan Academy calculus playlist and watch the introduction to derivatives. It is so much more detailed and accurate, and besides, there are clear errors in this video.
Never leave teaching mathematics to the physicists.
Play the video backward, you have got next week's episode XD
+Ibnziyad Tariq nice 1 laughed out loud
Hurry up with integrals, I need to know them next semester!
+Nikola Tesla NEXT WEEK!
-Nick J.
+Nikola Tesla Well in this episode you subtracted 1 from the exponent and added to the multiplier the previous exponent count... Guess what you'll be doing in integrals ? Well like said in the outro, the reverse. This is math, not physics... but yeah, it was a Physicist that actually "invented" all this... Isaac Newton. But he was multiple things.
Well, actually it's very likely that he stood on the shoulders of giants that are well unknown. But what ever.
I can teach you them.
+Jarno Mikkola The way I learned it, those giants were well known, and they were neither you nor I nor anyone that Newton could have personally known. And that was the point. Newton's quote wasn't coming from a position of humility. Instead, he was claiming that all of his contemporaries were merely midgets and the work he'd done was built upon those that were far superior to all of them.
Isaac Newton was not a physicist in any sense of the word as we use it today. Isaac Newton was, in his time, a savant. He could just as accurately be described as one of the foundational alchemists, had alchemy been shown to be an accurate description of reality.
+transcendentape wtf are you talking about?
Props to you Shini for trying to explain what differential calculus is in 10 minutes, that's a tough feat! Looking forward to seeing where the rest of this course is heading.
I think your driver should take a course on responsible driving instead of physics. The situation has gotten out of hand at this point.
Just tryna learn physics and I already have 2 speeding tickets
The speed is too dam high!
Hello other dark souls and physics fan!
This was my 5th watchthrough of this video, and after a month of Calculus, I'm finally starting to grasp the content. Props to Crash Course for information density, and for being an incredible, beautiful free resource! Thanks!
I would like to thank crash course physics, biology, and anatomy & physiology for helping me a lot pass my grade 12. As of now, I am a medicine student at the University of Namibia and I hope you guys can help me get through this course. To be honest really at the moment I miss Physics and Mathematics.
Ok honestly: I understand all of this because I already learned it back in school and can somewhat remember it, but if this was the first time I heard about it I probably wouldn't be able to follow very well. The requirements to this course seem a bit higher than they tend to be for crash courses. Still well presented though.
+NotMeButAnother Same exact thought. I know most of these ideas. Although I have to say I don't yet know about derivatives. and yeah, I couldn't follow along, if I didn't know any better I would be scared away. However, I do know how fun math and physics can be, how rewarding, and actually, EASY. I mean, if you take your time, learn from the ground up, then you'll be able to understand everything, even the complex ideas, because everything complex is made of simple things in math. From a few simple fundamental ideas you build up, then from that you build more on top of it and so on. It's actually how math started. Basic logic. I 5 fingers on a hand, I have another 5 fingers on the other hand, so two hands have 5 fingers, 2h=10, so maybe I can figure out how many fingers a hand has, clearly 5, but how can I express that so it will work for other things. Let's see, I know that 10 distributed to two hands is 5. So maybe it's h=10/2, oh I see, if you divide on one side of the equation what is multiplied on the other side of the equation, your equation still stands true, and this way you can find an unknown number.
brain.exe has stopped working. Do you wish to reboot?
No...
Light Bender welp
Reincarnation: found
Do you wish to proceed?: y/n
CrashCourse does just about everything now.
+Croatoan Well... there's A LOT more to do, but we're trying to be helpful :)
-Nick J.
+CrashCourse Oh, I love it. Whether I watch for amusement or for the information, I love it. Keep it coming!
+Croatoan Will do!
-Nick J.
Why not a crash course in calculus instead of try to fit it in physics?, Calculus it's a very nice topic and it deserves full attention instead of only seeing an over simplified arcaic version of it.
Look at me, watching calculus videos online at 2 in the morning.
Castiel Maxwell same. It's exactly 2 right now
Castiel Max 2.13 in the morning
2:10 me too
rip
And here i am 1 am
I'm a freshman in high school right now and I'm taking precalculus. Next year I'm going to be taking AP Calculus. Junior year, I'm going to take physics. I'm really excited for this series, especially the math.
+BenCubed Good luck! (from a physicist)
NNEEEEEEERRRRRRRRDDDDDD jk me to
+BenCubed welcome to the stem club, as a freshman in uni, ive been doing this for a while, the road gets crazier, but just remember that you like the subject, even though you may hate the teacher
+BenCubed Precalculus in high school? Jealous.
+theguyshadows Doesn't every school take pre Calc in high school?
Crashcourse Mathematics is showing up early at the party :I
It's physics. Can't have physics without math. Fortunately or unfortunately depending on your view.
BenCubed yep.
+Stol Theds I would love to see a CC Calculus series. The mathematics in this series feels very rushed.
+BenCubed fortunately. Math is so easy if you just put in the little bit of work
+Emmanuel Ogundipe ikr
While the explanation of derivatives was spot on, I feel as though the way you explained limits can only be understood by someone who already knows what they are.
She is really smart and nice so the fault is really with me, I just heard 10 minutes of words......
I need to get into math so I can come back and understand this video.
+Cangel Tibon Same here... I don't really believe it's possible to master physics "crash-style" but perhaps I can learn a little bit about it!
+Cangel Tibon As I noted in another comment this episode needed to actually show graphs for everything she was talking about and explicitly show that the graph of a derivative is tracking the slope of the equation it's a derivative of.
+Cangel Tibon Yeah, it may help to watch it again, and pause it after each new kind of problem is introduced. Work a few examples with made up numbers to get a feel for it, and move on. Unlike a lot of CC, this material isn't "saw it, now I"m familiar with it". You have to give it time to change your brain.
There is a way to slow down the audio, by clicking into setting and scaling back the playback speed.
Just stating that d(x^n)/dx = nx^(n-1) without explaining how that comes about (or even really defining what you mean by differentiation) is:
1) Not even slightly maths or physics
2) the sort of thing that puts people completely off maths and physics, making it seem like it's just something that has to be learnt rote.
3) Not even slightly interesting.
That d(x^n)/dx = nx^(n-1) is just a completely boring fact if you have no idea how it comes about.
A real nice video, but I must say I died a little inside with the graph using degrees, even if it was probably the right thing to do from an educational point of view.
Can't wait for more!
+Manuel Catz Can you explain what you mean?
-Nick J.
+CrashCourse He probably feels radians are superior.
+CrashCourse
I mean in trig and calc we usually use radians. That's why.
imgflip.com/i/1250kw
+Manuel Catz
Lol. Obi Wan Kenobi
I am amazed, never thought crash course would cover something so complicated but important as derivates :) I really like your aproach at explaining them, it took me a lot to understand them in high school, keep up the great work
Woaw Lady. Slow down. I want to like this but I need a but time to think between senteces
+k1dicarus; Yes indeed. I know this subject very well, but still I have difficulties following her. She speaks fast and editors cut out small pauses between her sentences. It is as if the producers of this series is more interested in visual design than in making the content comprehensible.
The pause button still exists.
She is reading news
This is the best explanation of calculus of have come across so far. Thanks, Shini!
I am so glad she did this. It really undermines the work of newton and countless of other physicists hard work when teachers/professors teach it algebraically. I understand that for most high school classes though, they don't take calculus, but Im just happy to see it is being taught the right way.
Great job with this presentation. Would've loved to see these concepts in the economics videos though, since calculus is fundamental in the study of economics. It is truly a wonderful branch of mathematics.
+blownspeakersss Thank you. This is definitely a very complicated series so I'm glad you're enjoying it thus far :)
-Nick J.
Yassss! Keep the physics coming? This is great!!!
+Isaiah Ruffin You got it! :)
I found none of this (so far) challenging in school, but that was thirty years ago. This is moving to fast to refresh my memory.
I'm so glad they're beginning with calculus. Calculus was made for physics and it's very helpful to understand physics in the context of calculus. Good job crash course!!!
I love calculus! It was my absolute favorite math class. Integrals and derivatives are super easy when you know the rules.
Oh the joy of actually understanding what they're talking about.
Man, according to these first two episodes, I'm one godawful driver.
Yo I thought this would be like watching the CrashCourse history where I could be passive and just take in all the info. I was SO wrong hahaha
^ unfortunetly
My biggest regret in life is that I didn't take interest in high school maths, all my Math teachers sucked at teaching which was very frustrating and put me off the subject in a major way.
All my science teachers were awesome and thus I love science, I could never be more grateful for that.
The Feynman Lectures on Physics collection on the back of the room. That's amazing =]
I love watching these videos while high.
This is why I majored in international relations...
lmfao
+QuantumBraced You must be very intelligent...
+QuantumBraced annoyed me 2
Now that's just sad
Wtf people, it's a very good major, you can get power, money and a good politician career. It's not something like a way less relevant philosophy etc
Maybe soon I'll be able to calculate how fast this went over my head (:
can i just say I LOVE THIS!!! first of all shini is just beautiful, and 2nd of all i need this for my calculus class that i'm struggling with
there are 3 kinds of people in this world, those that get math and those that dont
In order to understand the importance of everything she says, if you haven't taken Calc or Physics, you'd have to pause every 30 seconds and think about it for an hour
Great video for reviewing these basic notions if you already know them. Might be slightly too fast paced for a first encounter, but that's just a gut feeling. Thanks!!
I've gone through Calc, Calc 2, and Differential Equations, but this crash course is confusing me. I understand the material, but this feels like content overload. Too many concepts being introduced at the same time. What's worse, it feels like these concepts are being introduced without being defined properly.
+Xedma if you gone through those courses, you shouldn't have much trouble understanding these episodes. You should review your lecture notes since this is pretty much the first 20 pages of any undergraduate physics textbook.
+Andres Did you read my comment? I said, "I understand the material, but this feels like content overload."
My apologies. I thought you meant " this crash course is confusing me" Misinterpretations sometimes occur. But, you're right. It's lacking in content however crash course is 10 minutes long and shouldn't be used to fully learn a subject but just to give people enough passion to want to go and study it themselves.
Gosh darn it! I had my pre-physics maths exam on Tuesday, this would have made perfect revision! Thanks Shini, I'll not make that mistake twice, Crash Course marathon time! :D
This feels brief to the point of confusion. Why introduce limits when they're only connected to differentiation by a hand-wave? Surely you can skim physics without scaring people off with calculus, even though actual physics runs up through graduate-level math.
Summary of my whole 1st year Calculus class in 10 mins.
So
Much
Info
In
One
Single
Video
...
Blimey glad I took maths for Alevel or I'd have to rewatch this like 5 times
people say calculus is hard, but combinations and permutations are wayy harder
Everyone has their own strengths and weaknesses, but I personally found Combinations and Permutations much easier than Calculus, it just made more sense to me, and Calculus seemed to get a little too abstract for me (also I had a bad teacher for it)
Mayumi Scott ooh
+nGon- I'm sure it all also has largely to do with what level you are at for each math and how it was taught. For me, I grasped the level of permutations and combinations I needed to learn quite quickly, and I was enjoying it a lot. For Calculus, it didn't go so well, it was harder for me to remember everything, and I think a big part of that might have been the notation and how it was taught. Also, I had a pretty bad teacher for it, who was also my teacher for the prerequisite course, so that didn't help me with my understanding at all. Basically, I'm just saying that it all depends on the situation: who you are, how you learn, how you were taught, etc.
+nGon- Ah, that makes sense. My teacher for Data Management/Statistics didn't follow the textbook like that, she said the textbook didn't explain things well so she made her own lessons that taught what we needed to learn in a more comprehensive way than the textbook does.
+nGon-
I can assure you, whoever told you that, doesn't really know what he is talking about. Calculus uses practically the same notation all over the world (no matter if Europe or US), the one that was introduced by Leibniz and that's what everyone is familiar with. There is indeed an alternative notation, which was introduced by Newton is nowadays only used in for physics, where it is not unfamiliar, but also not extremely common (independent of the country).
The Leibniz notation (d / dx etc) is the one also used in this video. So in Leibniz notation v=ds/dt and a=d²s/dt²=dv/dt , equals in Newtonian notation v =s dot and a = s dot dot = v dot (where "dot" is simply a dot above the character). No big deal
I'm a big fan of these shows. I'm a physicist and always enjoy touching base with the intro material. It helps with retraining, and especially learning new teaching techniques, styles, and explanations.
I do have one comment though: Math is the language of *all* sciences, not just physics. As a mathematical physicist, I wish that you were 100% correct, but biologists and chemists all use mathematics. The integral (pun!) use of mathematics is what defines "hard' vs "soft" sciences (i.e. Psychology does not *require* math, but is also a science).
Students might need to watch and re-watch each episode, but I think that your show will make a big difference in teaching for the future. I personally will require my students to watch each episode as a precursor to lectures -- and quiz them on it!
Above all, thank you for producing this show. Thank you for bringing physics education to youtube and for being very creative about it!
I physics class is in swedish and we don't get to learn the english words for the units. It really makes me sad when I understand well in physics class but scratch my head when I watch a crash course in english about it
Time= seconds
Distance= meters
Acceleration= meters/seconds^2
Any other units you need?
awwww
We have the same units, just different names. Write down the words from this video, it is good to know the words in English if you are going to be an engineer or likewise.
And he doesn't mean the units, these are almost the same in Swedish (sekunder, meter, kilogram, grader (degrees)). I think he mean like velocity and stuff (we just say delta-meter, delta-tid etc)
The_Pyromancer same
I really love the physics episodes, they're so useful! They totally made me pass my test :) keep them up!
I want the thought bubble back.
maybe you should have do e maths separately? aaaaaanyways, this is pretty awesome nonetheless.
also, where do I know that woman from? it's driving me crazy!
*done
+mmiiki Well, as she said, calculus is the language of physics. It's pretty much impossible to talk about physics in an in-depth way without calculus.
+Noah Topper Hell, physics is probably the best possible venue to explore calc. Without the real world context provided by physics, calc can easily become a slog for many people because it's essentially memorizing methodologies without understanding their utility, which is just one step above memorizing facts by rote in terms of being an interesting activity.
She has been in a lot of British Documentaries, like for the BBC and stuff.
+Espo Games Your course availability should clue you in to the requisite understanding in other subjects that is required for you to take that course. At some point soon, you shouldn't expect "crash course" anything to be relevant to what you are learning.
This is turning into everything I _wanted_ crash course chemistry to be! Finally we get some actual practical application (and calculation) with our theory!
+CrashCourse Finally one program that admits that you need maths to understand physics. I am really tired of hand-waving away differentials because it's easier to tell a story without. I'm eager to see how far you can take this. :)
it is scary to see 1 semester of maths in 10 mins. I´ve wasted 3 months. :D
It's sooo dense
+Tomáš Viktorin You're not gonna pass any serious exam with just a 10 min video though.
+Tomáš Viktorin its high school math and physics.
***** We had shity teacher. I saw derivates at uni for the first time. and yes it was more difficult that this and there was more of it but huge part of it is included in this video.
I noticed some folks upset at how quickly this went, and I have to say that this was certainly a fast look at derivatives. If only there were a way to replay it and pause and think about what she's saying for a more in-depth look.
LMAO ikr
Excellent. Remember people that's why they call it a crash course. It's not suppose to be an entire lecture, just brief overview.
Oh god, CC talking about math... probably one of the best days to be alive!
Shit, she could explain derivatives without limits, limits are the stuff that prevent calculus of being used in high school... oh shit, very bad video.
If you're in middle school or lower, go to CC History and come back in a few years. Enjoy your life before everything becomes Calculus. Please. It's for your benefit.
I'm 12 lol
+Drkeppy The third Pre Calc or Calc?
I really want to like this series, I REALLY do, but the the math is so rushed that by halfway through each episode so far, I'm to confused to continue... I think physics is incredibly interesting but I have had no need in my academic or professional career to have this level of mathematical understanding, so I don't. Therefore, this is just a confusing bunch of numbers to me and then I lose interest, then I don't get anything out of it... Could we maybe do a calculus cc first or something?!
I applaud you for using common sense and not vacuously whinging.
I agree, I'm so lost halfway through the second video :S
There is a pause button tho'.
+DerEchteSenf I don't think that's the point. This is supposed to be a "crash course" meaning minimal involvement. I have a job, academic studies in a different field, a family, and a sorta neglected social life. People in my position want to learn something new but in a brief and relatively digestible way, not pass spend hours studying as if we're trying to pass a course. If I have to pause, rewind, use multiple scratch sheets, start-over, etc. then is it simply not worth the effort. I might as well buy a physics text book and learn it on my own, entirely defeating the point of making a fun Internet video on the topic. Take any of the other cc videos and you can see they don't make it nearly this hard on the viewer. That's why this was such a disappointment
+DerEchteSenf obviously we have different definitions of what a crash course on UA-cam should look like.
And in a way, yes. I don't really need to fully understand physics. I want an over view, a concise explanation that covers the basics but doesn't necessarily prepare me for a college level exam. This is UA-cam, I'm not trying to master this particular field of mathematics. If I were, I'd be taking an actual course and going to a regular class at a community college or something.
I'm pretty sure this could be "dumbed down" quite a bit more actually, or at least have been given some running up explanation of calculus so other viewers could understand the language more. Simply saying "pause and rewind" is a cop-out for a bad teacher
Why does everything has to relate back to math? dam it
+sjchsbc Imagine MY surprise when I was in cinematography class and I had to do (and still have to do) math for filmmaking. Ugh...
-Nick J.
maths is the language of reality
+sjchsbc Most precise modeling toolbox available. It's just very useful.
+Stephen Rowley I gave up when I saw calculus
+sjchsbc maths is the language of the universe
You should make CrashCourse Statistics, it's a class needed in a lot of degrees, like the sciences, research, finance, psychology and more
My mind can't comprehend the content of this video on a friday morning. Think I'll try again another time.
Replay Replay Replay Replay Replay...
YES YES YES
Replay Replay Replay Replay Replay.....
and it still won't help because they jumped over way too much volume
I like Crash Course and I like physics, so when I saw the trailer for a Crash Course Physics, I got excited about it. But it turns out I got a little disappointed with the 1st video and very disappointed with this one. If I hadn't studied calculus in university, I wouldn't have understood anything from watching this video. I've seen animated gifs which made a better job at explaining the idea of using limits to calculate a derivative. This video looked like one of those Mental Floss lists with 137 facts about calculus. Way too many facts, with no apparent line of thought connecting them and no particular reason to pick them. Also, very poor use of graphics and animations. In many moments, it just shows a paragraph of gibberish while she reads it as fast as she can. I don't mean to be harsh, it's just that, after watching so many good videos from Crash Course, I expected more. Specially from a series on a subject I like.
1:05 "You probably won't be able to go straight from this lesson to your Calculus final." yikes cause thats exactly what im doing
bruh. When I saw this for a split second I thought Crash Course had started a calculus series. Now I realize just how much I want them to have a calculus series.
The first experiment in my high school physics class was position vs time under constant acceleration. We dropped a weight and measured it's position on a light paper tape it pulled after itself, marked every 1/60 second by an electric spark. With a ruler marked in mm, we measured to position of each spark mark on the tape, recording the position of the falling weight every 1/60 second. It is precisely the same situation Dr Somara is discussing. Position follows t^2. Velocity follows t. Acceleration is a constant. We worked all of it out from the experiment.
watching the flash is making me interested in physics now.
Idk who writes these but whoever did massively overcomplicated something relatively simple. Derivatives aren't a hard concept to grasp if you're learning from someone who isn't throwing useless information at you to confuse you in terms of what is actually relevant.
+DontFeedTheGaben Exactly. I'm a maths teacher, I spend most of my days explaining this shit, and this video confused me. It's not that I didn't understand it, but more like it doesn't make sense to teach it that way
Yeah so if either of you could explain it better, or share some more qualitative learning resources for this, that'd be real nice.
+Vuoto Yes! I thought I"m just really dense, but I'm not the only one apparently. I desperately need a better resource! Does anyone know?
Xyla A Khanacademy.com is a good place to start.
+Vuoto google.com
I know crash course is awesome and all that, but I have to criticize, the ideas weren't presented 100% accurate some ideas where incomplete, like the difference between vector and scalar, and it's pretty fast, I know the videos are meant to be fast, but is that really a good method of learning. I feel like it just scares people away from math and physics. You need to take it slow and explain SLOWLY, and with analogies and such. If you throw a bunch of ideas at people, most of them won't get it... It's not their fault...
+Silver Mirai The point of the video is to review the material, NOT to learn it for the first time. If you are cramming for an AP exam or something, this is perfect and can help you review much faster than reading your textbook which are reallllly long. But I get what you are saying.
Abhimaster2001 It's just constructive criticism, I think slowing the explanation a bit would be a lot better. Give the viewer a little more time to think about what's being presented.
+Abhimaster2001 I disagree. There's not much on this video that one could review. I do think these videos are to give a small introduction to topics, and this particular video is not very good at it.
This episode should have started with her explaining that this episode would be a month's worth of calculus taught in 10 minutes. People are going to be overwhelmed.
I'm a programmer and i wanted to refresh my memory in order to simulate gravity in my program. This starts nice until it gets to much condensed ! This course become rapidly intimidating ! Am I stupid ?
Too bad because i really like the idea of introducing scientific concept to broad audience, but when it's not properly done it can do the opposite from what it was first meant to be.
you saved me with chemistry in first year, now save me with calculus please
Electrostatics. Current. Optics. I'm waiting.
+Kamal Bhamra Statics and hydrodynamics first please. :)
Welp. My brain hurts. So much confusion. @.@
I've been taking cal for 3 months and this the first time I've actually got the meaning behind those terms!! Thanksss. Will u be doing more cal related vids? more differentiation and derivatives
I am glad crash course is doing this physics series and the philosophy one. I'm 27 and studied finance at university and work in that area now. I like philosophy a lot and have been studying this intensively over the past year. Now I've worked through a lot of philosophical and metaphysical questions I'm moving on to mathematics and trying to learn some physics.
I still think Its not too late to learn. Learning is a lifelong journey. Many people are scared to go back to the basic building blocks of new subject matter -- especially science, as people don't want to be criticised for doing so. But so be it. Learning is awesome! Beats going out and getting drunk with nothing to show.
I do like the other videos here a lot too. Really benefited from crash course world history, that was awesome, and I liked the chemistry and psychology series even though I haven't seen them all. I don't have any feedback to give crash course.
The world is a better place thanks to you guys and others like khan academy.
I will pay a million dollars to the person intelligent enough to teach physics without math. I had much higher hopes for this series.
Impossible.
+CTaran Teaching physics without maths is like teaching English without words.
+CTaran Math is the language and basis of physics. Trying to teach physics without using math and numbers is like trying to teach English without using words or letters.
+CTaran Do you even real world bro?
Just because you are too lazy to learn the math REQUIRED to understand and apply science, engineering... Or well... Real life... Doesn't mean it sucks.
it's not explicitly stated, but the trigonometrie set is easy to remember if you put them on top of eachother
sin
cos
-sin
-cos
for derivatives you move down the list and for intergrals you move up the list and it loops around on itself. This is how I remember it just to make sure I don't make stupid mistakes fidling with graphs or memorizing 4 sets
I've followed the first and second video now. I'm in the business of physics and math. I think these videos are biting off chunks of course that are too large for the length of the video, you are losing viewership to pacing here. Because physics is really physics + math, you have to be really careful about your pacing because you are teaching 2 subjects at the same time. A better approach is probably to use experimentation-centric reasoning (observations > results) rather than dictation-centric (results > observations). Physics has been taught via experimentation for hundreds of years for a reason. It's more time consuming and expensive, but it works. : (
Agree the pace is too quick for the material. Agree experimental basis would be much stronger. I'm fine with the Calc, but trying to introduce differentiation and accelerated motion in such an abbreviated fashion is going to lose most people. Trying to teach mechanics without calc is like trying to whittle with a hammer.
I was always dreading taking physics, but it kinda comforts me knowing it has Calculus since I previously learned this. This video was like a review to jog my memory. I kept being like ooh I remember that or knowing stuff beforehand because it was coming back to me. Thank you crash course for these wonderful videos:)
I just started doing physics in school an I'm always extremely bored, but when I watch a video like this my motivation comes and reminds me how cool is math