What is the Hardest Calculus Course?
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- Опубліковано 14 лис 2019
- What is the Hardest Calculus Course?
Ok, so which is it? Is Calculus 1, 2, or 3 the hardest one? In this video I give specific reasons as to why one of these is much harder than the others.
Which Calculus course do you think is hardest?
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The hardest thing about calc 2 is remembering to add +c to indefinite integrals
lmao true
❤
Yeah, no. I wish that was the case.
I wish it were just like that
It gets hard when remembering all the test for how at series can converge or diverge
I agree, calc 2 was the hardest calculus class. I also agree that the shell and the disk methods were brutal.
Shane Yaw I disagree. Those were very intuitive. Lagrange error bound, on the other hand... have no idea what’s going on in calc 3 rn tho
The Disk/Washer Method and the Method of Cylindrical Shells are only difficult when the axis of revolution is not the x-axis or the y-axis (i.e., when it is a different line, such as x=-2, y=5, etc.).
That was the hardest thing about calc 2 for me. I was horrible at the setting up the integrals until I took the time to practice it more over the summer. If it wasn’t for that I would have gotten an A in the class. Everything else for me wasn’t too bad, which is why I think ultimately calc 3 is harder.
Disagree Cal 3 is hard af. Especially it combined some pysics in it. Set up 3d integral also super painful
@@HoangNguyen-jd2mr Aside from Stokes' Theorem and Surface Integrals, Calc III isn't overly difficult. Setting up certain double or triple integrals can be a little tricky, though.
As an engineering student who didn't have much time to allocate to studying calc 2, by far the hardest part was the ludicrous number of difficult to identify trig substitutions.
Yeah those are tough!
Very fucking true
Integration by Trig Substitution isn't too bad, unless you're dealing with an example where you have to complete the square, before making your trig sub.
I've found Calc II to be easier in Engineering courses where you can visualize how this shit works
You nailed it. That was like running into a brick wall
I am currently taking calc III, and is the hardest of the three, for me at least. Not because of the math, grasp the main concepts is pretty hard.
Ivan Oliveira i agree. Im also taking calc 3 and for me conceptually its the hardest. Its much harder to think in 3 or more dimensions compared to just 2 for calc1/2...
I completely agree. Stokes thm was really hard picturing and understanding
I just finished “Calculus 3!”
same with me, calc 3 concepts crushed me & am surprized some people think calc 2 was harder
Matt Dathew I always say calc 2 is harder mechanically but calc 3 is harder conceptually.
Calculus itself is hard. It's just while you're getting further to it, you're just being used to failing quizzes and tests, and learning to hope against all odds.
:)
This ^
I literally got a D on my last Calc 3 exam and I was like, “eh could’ve been worse. I originally thought I got less than half right.” Whereas if I ever got below a B in calculus 1, I would be losing my mind.
I disagree. Some parts were challenging overall it wasn't that difficult for me.
It really isn't, I find it easy, calc is my highest grade so far
My university actually taught the disk/shell/washer method in calc 1 and I found it pretty easy to grasp. Personally, I found the integration techniques the hardest part of calc two. Infinite series were more straightforward and the tests for convergence/divergence were never too difficult as long as you could remember all the tests. But for some reason, integration by partial fractions and trig subs absolutely kicked my ass.
I struggled with disk and she'll but loved series like you. I also thought it was straightforward.
@@TheMathSorcerer I fund the disk & shell integrations to be very intense & heavy in procedure but doable, the intensity kind of turned me on, it was good pressure & you would feel so happy to realize that you got it on the quiz or exam.
On the other hand, the series were scary because they were very conceptual, so easy to fail without much input, I was unsettled with them so they are actually the part I didn't like a lot
@@mattdathew2794 same here. series were difficult for me. it was my first time seeing those types of problems
Taught this in calc 1 at university too, like a week before the final SMH
I took Calc 1 twice, Calc 2 three times, Calc 3 twice, and DE only one. Isn’t that interesting lol.
Crazy!
At least you got through it👍👍
You have a lot of grit!
I know, he has tons!!
The important thing is that you pass Xd
I failed Calculus 2 last year. I stumble upon your channel and began to change my approach with math. I'm now in CALCULUS 3. THANK YOU.
Fantastic!
I just finished "Calculus 3!"
Calculus is not an easy subject to learn, and it is not easy for anyone. It is a skill more than anything and like every other skill, you must learn the fundamentals and work and toy around with it for a long time before you master it.
I’m very glad to hear that you’re determination was great enough to drive you through it a second time and that your hard work paid off. Congratulations on Calculus 2. You’ve earned it
Update I passed all my lower division math classes and I will be taking intro to abstract math in the fall of 2021. Thank you math sorcerer 🧙♂️.
For me, calculus I was the hardest since it was a change in my way of thinking about math. Calculus II was my favorite math class and was the class that made me change my minor to math (I'm a Geology major). For some reason I found the sections over infinite series to be very intuitive for me. I was always "bad at math" and had a great deal of anxiety over taking any calculus class. I fortunately had some great professors and discovered I wasn't actually bad a math, I just had not found the right way to study for it. I do find the hardest part about calculus isn't the actual calculus, but the rather messy algebra that can come along with it all. If you see this comment and are about to begin a calculus class, here's some advice... Practice and understand how equations relate to their graphical illustrations and really know how to factor polynomials. Get the basics down and do not underestimate how much your algebra skills will help in subsequent classes. If you have to take Calculus III, pay close attention to vectors and really learn your unit circle (this really applies to all calculus classes).
For me personally calculus 2 was my favourite. I loved doing them and they were easy marks for me. Calculus 3 however was the one where I got absolutely destroyed
I too loved calculus II. Still one of my favorite college classes. Having a great professor made a huge difference, I believe. Not sure I would've loved it as much had my professor sucked.
As someone who aced calc 1, took calc 2 4 times, and aced calc 3 I’d say calc 2 is the hardest because of how many concepts are in it that have nothing to do with each other. As you said disk and shell is just something brand new not been done before. My favorite part about math is how concepts build on each other to become more and more advanced.
i found calc 2 to have topics related to each other & little concepts. Calc 2 is 80% integration, how can you say they that they have nothing to do with each other. The integrations themselves have no new concepts as integration & derivatives are calc 1 concepts & partial fractions are precalc or algebra 2 concepts. The only new concepts are volumetric integrations & series tests.
on the other hand calc 3 concepts have nothing to do with each other, lines intersecting planes have nothing to do with dot products or cross products which have nothing to do with jacobians or gradients or stoke thm which have nothing to do with cylindrical or polar cordinates
@@mattdathew2794 I agree with him, calc 2 seemed like a jumbled mess of ideas. Integrals on their own are a lot to take in, they were just barely glanced over in the final week or two of calc 1 for me. A couple weeks into integrals and trig identities and all that and it's basically all out the window moving onto stuff like Trapezoidal and Simpson's Rules that get mentioned in a single lesson or two maybe and immediately forgotten about until they show up on your midterm. Then you're onto sequences and finding general terms which break my sad little primate brain because I can see the patterns at play but have little success trying to express it as anything that would be worth points in a gradebook. Just on the off chance you're not good at sequences, series come out nowhere to further destroy your grades and bring what feels like 50 different tests for evaluating them that you've never heard of before and that don't always work or yield any useful information at best, and actively mislead you and give the wrong answer at worst. Assuming ratio tests and whatever haven't destroyed your grade and you are still enrolled in the course, you get to move onto Taylor and Maclaurin series that feel like their own unique beasts and will definitely be on the final. Finally, having survived all that, you can move onto material that actually resembles stuff you've seen before with arc lengths and surface areas and parametrization, which, if you're lucky, may be worth like 6% of points on the final.
Calc 2 is hell and it never got better in the 3 times I took it. I don't have high hopes for calc 3, but I know at least it isn't calc 2.
@@faceless2302 I can see why you found it hard, I think different schools teach maths in their own unique ways. Our calc 1 final weeks were also integrals but we spent more time on them as some were definite then later we started indefinite. By the end of calc 1 we cold integrate all small expressions properly, the 2 weeks your school gives are probably not enough.
We also did simpson's rule but in calc 1 not 2
Our teacher used graphics to explain how Trapezoids & cylinders of calc 2 are integrated, he was making them I think with wolfram alpha, before that I was lost.
We also had arc lengths and surface areas and parametrization in precalc & may be more parametization in calc 3, but none in 2 or 1.
We also had weekly quizzes & they would give us solutions afterwards for revisions as well as 3 midterms.
So I think different schools do it differently, we were lucky but it was still very procedure intense, I could easily work on one integral for a full page or a half more on an exam.
If you like concept building up on one another, I'd recommend taking a course in Physics.
How'd ya pass?
Calc III is definitely the hardest, no question about that. Thinking about multivariable functions, parametrization, constrained optimization, setting up double/triple integrals, all the vector Calc theorems... no doubt Calc III is the hardest.
But I can see why people say Calc II is the hardest. In Calc I, you are given specific algorithms that never deviate (product rule, chain rule...) and you think about everything in 2 dimensions. When you get to Calc II though, there is no obvious way to evaluate an integral so you have to try U-sub, then parts, then trig, then hyperbolic or weirstrass... it’s just a lot more steps. Plus, I agree, the washer and disk methods are hard to wrap your head around the and infinite series is a struggle also.
I agree with you, calc 3 is way too wide and conceptually difficult
Most people say calc III is the easiest
@@Bagunka calc 1*
@@Bagunka Probably to show off so they can feel better after almost failling calc II, because conceptually speaking, III is the hardest to grasp.
For me the hardest part of calculus II are series and undefined integrals apart from that I think it was pretty easy I struggled even more in calculus I
I attempted to take calc 2 in a summer session.
Painful experience.
Loved calc 3 though.
I’m taking it rn. God help me pass this class
I got my midterm tomorrow:)
E HATIPO I got my third test on Monday and finals on Wednesday 🙂🔫
im taking calc 2 chem 1B and a real estate class over the summer. I know only pain.
TheJuicebox111 I can fully relate. We got this
I think one of the biggest reasons why calc 3 feels harder for me is the fact that in my calc 2 class, a lot of people just like me were bad at math, and it wasn’t too hard to get average or above average on tests, and since the tests were curved, as long as you are average or above, you’re fine. Once you take a calculus class above calc 2 however, almost everyone in your class is a math wiz. I think I am one of only around 3 people in my class who are barely passing calc 3 at the moment.
Lucky you, the math department never curved because it's "frowned upon". They call it the weeding process of engineering.
I would agree that calculus II is difficult, but I had a harder time with calculus III. The tripple integrals and the div, curl, grad stuff, along with Stroke's Theorem were pretty bad. Cylindrical and spherical coordinates along with surface and volume integrals... Let's not forget the Jacobian determinant for change of coordinates.
am in bed with, calc 3 is way too diverse, too complex, & too conceptual. The hardness can't even compare to calc 2
You become a Young God after cal IIII
Infinite Series is the bane of my existence
hehe yeah people have a hard time with them!
I took Calc AB/BC in one year in high school and had a great teacher. Calc III was my first semester in college, and I have poor geometric reasoning, so I struggled a lot in that class.
Amazing that some high schools actually offer Calc BC, which covers Calc 1 and 2 if I'm not mistaken.
Series were hard in calculus 2 because they came toward the end of my fall freshman semester, not because the math itself was inherently hard, and it was just a lot to keep in mind with all of the other science classes. Once they came up again in differential equations, they weren't that bad, and in complex analysis, they finally made complete sense as I had more experience writing proofs and doing page-long calculations with inequalities.
This was really helpful thank you!
You're so welcome!
I agree, I had to allocate so much more time into understanding calc 2 and the taylor/mclaurin series absolutely destroyed me when I neglected memorizing the formulas.
The Infinite Series was the reason why I struggled in Calculus II, but I loved it! Good thing my professor was super good at teaching the material. Taking Calculus III right now and I seem to grasp the concepts fairly fast and well!
Nice!!
Tbh my I’ve had the same calc teacher for 11th and 12th grade and she’s phenomenal. I’ve had no problem with any topic because of her (aside from just conceptually understanding optimization) and how she makes everything so simple; She’s so good that I actually enjoyed the disk and washer method a lot. I managed to get a 5 on the ab exam and I hope to get the same for bc. I haven’t taken calc 3 but it looks daunting.
Calculus 1 for me. It took me a lot of time ( too much maybe) to understand it. The other two where more "natural" after getting the "basic" ideas
interesting!
Same, I took Calc 1, 4 times. Now I'm in Calc 3, doing good so far.
Okay, quick background -I never took calc in high school, never saw it once, NEVER EVER.
I had to start my (college) academic career in elementary algebra and go through a few classes before I could get into Calc 1. I am currently taking Calc 2 in what is probably the worst time to learn something (All online because covid). Here are my thoughts...
Calc 1
Hard if you're disorganized (like I was). This class forced me to write neatly. This class got me to start doing my homework. This class had me changing my life habits on the real hahaha.
That being said it still felt doable. Sure it felt like a lot of work sometimes but you could see the light at the end of the tunnel. Just take your time and show every step. This class taught me patience. This class also had me dyslexic for some weeks when we started learning about antiderivatives lol.
Calc 2
This is the class where you can just see a problem and literally feel your world slipping away from you lol.
In this class you turn the page and go, "...seriously?.."
This the class that make you start staring at walls on your days off.
A reason? (Hint: starts with trig).
Calc 2 be like: hope you remember everything.
Ok I'm tired, gn
Goodnight 👍
The Fundamental Theorem of Calculus will be the hardest thing to gasp. Using the Mean Value Theorem to prove it was very clever. It will be a challenge to new students becuase it requires a new way of thinking. I've not seen a good proof of the second derivative test of Calc3 on UA-cam.
Good points! Maybe I should make that video.
What I’ve found is that Calculus theories/methods are easy to understand after a little studying. But it’s the algebra concepts (we never thought we’d have to use again) being slightly off that screws the whole problem. It really puts your cumulative math knowledge to the test. It can be exhausting spending 20 minutes or more on a question and then finding out it was a simple algebra error holding you back. Or a simple calculus concept forgotten for a double whammy. These are the reasons why doing lots of practice problems are important but take so much time and will power to finish.
I agree with this. Without taking Calc BC, I would have failed my college classes about those subjects. But thanksfullly since I had seen it before It really let me grasp the concepts
I personally struggled with certain types of integrals in the complex plane. But yeah, I thought that the disc and shell method was tricky in terms of setting up the integrals. I encountered that method quite a lot in classical electrodynamics, especially when calculating the vector potential of a magnetized sphere.
I loved calculus 3 when I took it. My favorite part was Stoke's and Green's theorems.
It depends. We have to have in consideration level of difficulty by several factors ex. professors. In my case I was good at Calculus II (integral) but failed the first time (the professor was extremely difficult level). On next semester I passed the course with a really good one who taught us to do really amazing problems. I passed also Calculus III (several variables) but with low score; I've actually never learned Stokes/Green theorems and their properties, also I almost didn't learn surface integrals. I was good at multiple integration, though. Calculus III was given by the same professor.
I’m currently studying Calc 3
And I think it’s the most fun.
I love the all the beautiful graphs 😃
👍
Our single-variabel calculus course here in Sweden combines Calc1 and Calc2. Multi-variable calculus however consists mainly of Calculus 3 and some content from individiual coureses that cover differential equations and vector algebra.
i havent taken calculus 3, but i made an average grade of 80-something in calc 1 and am currently sitting at an average grade of 99.3 in calc 2 two weeks before the final. the concepts are way harder in calc 2, but the difference is that in calc 2 you’re coming from calc 1 so you already have a decent foundation of calculus and how the basic concepts work. in calc 1 the concepts are so vastly different than what you learned in algebra that if you are like me you’re going to struggle initially, especially if your trig knowledge is shaky. so if you didnt do too well in calc 1 like i did and are worried about calc 2 because everyone says it is harder, dont worry, the only things you really need to have down like a pro are integration/differentiation and trig.
Calc 2 was definitely the hardest, I panicked when first introduced to shell/washer method..i also series part super fun and had zero struggles
After taking all three of those classes I'd agree that Cal 2 is the hardest and Cal 3 would be the second hardest because of triple integrals and applications. Just finding those boundaries on 3 dimensional shapes can be pretty tough, at least for me heh.
calc 3 is ery teacher dependent, i guess your went very easy on you
Shell and disk method are easy if you just remember Top-Bottom and Right-Left
My natural talent is with spatial relations and 3-D geometry, so the disk and shell methods were candy to my eyes. I also didn't have a problem setting up word problems and that's probably because I actually majored in physics. I did have a lot of problems with the infinite series, but I think part of the reason for that is that I simply wasn't interested in them and basically saw them as a waste of time when I was studying them in college. I might view them differently today. I just didn't see a practical use for them at the time. I wasn't studying as a pure mathematician. I was studying as a physicist, so if I didn't see a real-world application i found it difficult to get interested in what I viewed as having little practical value. The disk and shell methods were obviously quite practical and useful both in concrete applications, and also in an abstract geometric sense.
🔥
When are we EVER going to use TRIG again!?!?! UGHHH (Highschool self)
Calc 2 Arrives: OH FFFFFFFFF!
Hahahaha
Trig subs kinda sucks 🥲
Ya they are long problems
pain
More like calc 3 with the change of coordinates between Cartesian, spherical, cylindrical systems
Taylor polynomials and maclaurin series and power series were very hard for me back in the day.
Probably 2 because of trigonometric integration when I never had to memorize my substitutions in high school as reference sheets were always provided (moved to a different state HS vs. college).
I am between calculus 1 and 2, learning one step at a time. Sometimes, I hate forgetting what I have learned, but I don,t let that deter me from learning. Also, I lose concentration at some hours of the day. Only sometimes.
Calc 2. Felt more like tipping point and climax. 1 Introduces integrals at the very end of semester, and limits, derivatives, and differentiation applications are glimpse in Calc 1 to give students enough time to review basic algebra and trigonometry to make sure to hone. Calc 3 is like downhill of the climax with a bit more new concept intros though you cannot deny that 1 & 2 adds 3.
This is reassuring since I flew through calculus 2. Now I just gotta study the proofs, trig integrals, and applications to master it.
Im coming upto the end of self studying calc 2. Just finished the series section and I found it difficult, it was just so new and different. Previous to that everything seemed to build from the previous section.
But as a whole I enjoyed calc 2 and all the integration methods. I will definitely be watching review videos so I don’t forgot the techniques, unless they show up in calc 3?? Calc 3 does look really good though I’m looking forward to it.
I'm taking calc 2 right now and I honestly love it. At first I absolutely hated it so so much but all of a sudden it clicked and now I'm trying to change my major to something more math related. Kind of worried about calc 3 but we'll see how it goes.
I did disk/shell in calculus 1 for some reason. It was pretty straightforward conceptually for me. Just a lot of work and places you can mess up.
When I went to Berkeley there were three levels of complex analysis offered: 1) For -sissies- engineers; 2) For math majors; 3) For honors math majors. I took #3 and got absolutely blown to smithereens. Calculus seems like a walk in the park.
Calc 1 was pretty nice for me, but calculus 2 absolutely destroyed me, hopefully i'll pass the semester and head into calc 3 (CS major here)
Only about 5 weeks left and I actually have 100% in calc 2 and I’m going strong. I have a pretty good chance of getting an A with how it’s going lol.
Update: I got an 90 on the most recent test so I’m at a 98. There’s one more test and I only need a 30 to get an A. Still going strong lol.
I'm finishing up Precalculus with a B, I got a 64 for my first exam, 84 the 2nd, 97 the third, 104 the fourth, and here comes the final. I need to make a 35 to stick to my B.
omg nice
Excelling in a math class like that is always the best feeling. And it’s always nice not having to stress going into the final.
I finished with a 94, don't underestimate yourselves, people.
COVID college is school on easy mode. I’m in Calc 3 and the class average on our last test was 90. Before COVID when we were all in the classroom, class averages on every test in every math class was always in the 50-60 range. It truly is remarkable how distant learning has made everyone so smart!
On an unrelated note I hear Chegg’s subscriber count is through the roof!
I agree, Calc 2 was rough. I never understood the how and why of Series, other than accepting that one could get a close approximation with a few terms. Still did OK, was a lot of work and new concepts.
Ya people really struggle with series
I loved Calculus I and II, I got a perfect score on them also. Calculus III was tough, the toughest for me. I then took Differential Equations and it was the best of the entire series :).
I'm currently in calc 2 with 3 weeks left and I have an A so far. To me, the trig sub unit was pretty tough because it was just a lot to remember. Otherwise, I'm really enjoying the infinite series and I thought the disk and shell method was really cool! I'm also not great at allocating time to studying which is a bad habit, but I think the fact that all these topics are somewhat disconnected makes it a little more difficult to remember what you've learned so far. I'm really looking forward to calc 3, and whatever my future math classes may be!
im taking calc 2 and have 2 weeks left, since last week we have been learning infinite series and the concepts kida click but I feel like there is way to much stuff to remember with all the different test cases and comparisons lol, trig sub was also pretty difficult but at the moment I have an 89% in the class. Hopefully Ill do good on my series exam
Convergence tests for series are ok, computing what the series actually converges to is another thing, and thats usually a pain in the butt.
If you're proving vector identities for calc 3 then its potentially more tedious than calc 2, its hard to tell when your brain or your hand gets tired first. Complaining about the amount of indices will probably get the instructor to think less of your ability to keep up, especially if they're a geometer or analyst.
My worst test was the test with the shell/disk methods lol. the seq and series stuff is also a thorn
Ya that disk/shell destroys people
Man, I’m so glad you said Cal 2, cause I mad a 99 in that class and I’ve been STRESSED about Cal 3.
I just finished Calc. II with an A! It has been 5 years since I took Calc. I as an AP class in high school, so to anyone reading this that may be in a similar boat as me, just know that the main takeaway that you'll need going into Calc. II from Calc. I is how to do derivatives (product rule, quotient rule, chain rule, etc.). You may want to brush up on limits as well, but overall, Calc. II is very doable without a solid background in Calc. I.
Definitely calc 1 is so far the hardest for me. In calc 3, right now. Calculus was such a big different aspect to math that it was hard for me to grasp at first. After I started to understand it, the other classes were a bit easier. For instance, long derivatives got to me the first time. But when integrals were introduced in calc 2, I understood it easier because it was the opposite of derivatives. Plus, I realized UA-cam really helps studying lol.
dude, we got our derivatives & integrals introduced in calc 1
Look professor Leanard Calculus 3…I got A grades in all Calculus 1,2, and 3…good luck
Can't agree more to this. Area and volume is my absolute nightmare.
I finish the calc series in a few weeks. Hands down calc 2 is the hardest of them. There are so many new concepts. This class has so many stuff going on. I had trouble with the whole integration and series chapters. Calculus 3 is more fun, but its hard to be able to visualize the planes and surface you are working with. So far the hardest parts have been surface integrals and these over vector fields. Parameterizing these can be tricky but not impossible. Learning online because of covid is hard, but stick in there and everything is possible!!
Ya calc 2 is tough for people..I was making calc 2 videos yesterday I do love the series!!!!
Maybe it was my professor and the way he taught the class but I found calc 2 and all the concepts/methods to be really intuitive and rather easy to pick up. Calc 3 on the other hand, wow the concepts in that class were so much harder to grasp, even though the math wasn't as difficult as previous classes.
👍
1 month in and I'm sitting at a 96, time will tell how it goes but I have a great professor and am excited to learn more!!
While I do believe Calc I was the easiest of the Calc courses, failing to comprehend the basics can set you up for trouble in the calc array. Calc 1 goes over the fundamentals and exactly why you use dy/dx or Riemann’s sum and integration. The coursework is fairly simple but the theories must be conceptualized before exiting this class. Calc II is definitely the hardest in terms of coursework. The problems assigned can take pages of work and there is room for error in the algebra. Trig substitution was killer and often discouraged me to finish an assigned problem. Luckily, the theories and concepts are easier to grasp in Calc II and the geometric analysis portion is fairly simple compared to Calc III. I thought Calc III was easier in terms of coursework but the theories and concepts were harder to visualize.
Well that gives me a bit of hope for calc 3 at least.
I'm in calculus III and I've had to study basic stuff from calculus I
I have taken calculus 1 and for me the derivatives the algebra and integrals and differential equations were not too bad, but limits were absolutely horrifying
Passed calc 2 in the spring, my best test were integration techniques and series. The word problems and dish and shell is where I blew it. I found series to be the most fun in the class along with the trig integrals
The only thing I found difficult pertaining to disks and washers was remembering which variable to integrate with respect to the other, but some how I managed to get an A in that class. I don't know if it helped that I was learning the area between two curves at this point too. I'm taking Calc 3 now and I have hope I'll do fine.
yeah you will probably do awesome in calc 3:)
I didn’t have a tough time with calculus 2 because I decided to devote so much time to hw and asking questions. Passed with an A after getting a C in calculus 1. The shell methods were only easy for me to visualize because I took a solidworks course that helped me see how the functions would look when revolving around a certain axis. That part helped me out a lot. Currently going over calculus 3 before my class starts and it alresdy seems complicated. I just get so easily lost with vectors and unit vectors and magnitude and i am still confused how unit vectors correlate to direction of the vector.
Calculus 1 was tough for me. It was a whole new world and I couldn’t grasp the concepts fast enough or understand what my professor was trying to explain when discussing the concepts behind them. The exams were more on the comprehensive side which threw me off. I got better going into calculus 2 since I applied myself and read a little bit of the text book to get a better understanding.
I did the disk and shell method in calc 1 and it was pretty painful. Calc 2 infinite series was still the hardest for me though
I agree with calc2 particularly on the infinite series. At least in the perspective of an applied math major because some find infinite series abstract.
yeah for sure!
Ive finished and aced Cal 1 and 2 after a lot of work. Reyman Sums is what i dislike the most so far as i find them tedious, but not the hardest. Up till now Taylor and MacLaurin Series in Cal2 are what took me the most effort to understand, but became easy once i grasped it.
Going to take Cal3 and linear algebra in the fall
Nice
I was doing great with calc 2 right until those bloody series. I dropped like a rock and passed with a C. Then Ucsd happened and I took calc 3. I failed every test. I would go into the test after studying my butt off and feel like I had walked into in the wrong class. But they curved the grade so much that I passed with a C.
you're not alone, calc 3 punished my class a lot, the professor saved us by providing a make up exam, you won't believe the number of students who were there
Calc II was the hardest of the three foundational classes -- in particular, series. But, Ordinary Differential Equations is the hardest yet, which I'm in presently.
Snarky Mark im in ODE too and it can be quite difficult.
No way, calc 3 was way terrible than calc 2. And diff EQ seemed easier than both yet I had it over summer
@@mattdathew2794 -- I refer to Calc III as "Derivatives in Space." It's not a hard class. The only topic I found challenging in Calc III was Langrange multipliers.
@@MarkMcDaniel No no no no, it's not just derivatives in space. You got a bunch of triple integrals mixed with spherical & cylindrical coordinates, your answers are always some weird characters & expressions. There is nothing compared to that in calc 2 which was mostly U-substitutions. I really need a psychiatrist to image waves into the brain of a person who finds U-substitutions harder than gradients, curls, divs, & triple surface integrals of rectangular coordinates, cos for me it's a mystery. Your calc 3 teacher may have been far too lenient on you guys
@@mattdathew2794 -- Trig substitution and Series expansions, I'll see myself out.
Calc 2 was the most difficult for me since it had so many disparate topics, I had to retake it. Calc 3 was challenging but at least most of the class built on previous topics. I took diff Eq last and was an easy A.
lol you should make more of these short interesting videos, for example like some of the videos you made about engineering being the hardest(or something like that)...i find them really insightful...lol also make more of those funny videos...i say part 2 of things math professors dont say
i self studied calc 1,2 & 3, and i think calc 3 is the hardest when grasping vector integrals such as line and surface integrals.
I always struggled with integration by parts and integrating with an exponential whether it be a single exponent or tetration. As well as struggling with the infinite series, power series, convergence/divergence tests. I'm pretty sure all of that falls within Calculus 2.
We did disk and shell method at the end of Calc 1. Not sure if it's on the final. Find out in a couple hours!
Had disk/shell method in calc 1. It was frustratingly simple in hindsight.
Calculus two by far. At least for me, the disk and shell method were the hardest things in the class, but the series was next on the list, AST was my favorite test for some reason.
Ya disk and shell was so hard for me
I’m so glad I’m dropping my calc 2 class and I’m gonna change my major to avoid a class like it. It’s too much and it’s hard, stressful, and I swear I study take notes go to tutoring and my professors office hours as I get nothing. Literally I’m already like 4-5 weeks in calc 2 and it’s causing so much stress to me. I drove home last night and I cried for like 20 minutes because of how stressed I was and how hard it is. Until I finally found something else I wanna do as my major and I’m feeling a lot better now knowing that I found something else I’m gonna actually enjoy to learn
Good luck :)
I have not finished calculus II yet. But if you plan to take it make sure your trig identities are on point. It is trig heavy. Lots of trig substitution.
I have a hard time visually the series, its applications, what it is exactly doing.
I aced every math course I ever took. Blasted through Calc 1 like nothing. Got 100 on the departmental final. Calc 2 was an absolute ambush compared to ANYTHING else I have ever taken. Keep in mind I’ve taken everything hard. Ochem. University physics. Computer science. Statics. Dynamics. Thermodynamics. Calc 2 was a nightmare in comparison. Calc 3 was a breeze for me too. My instructor was great too! It’s just a horrible onslaught of completely new stuff you have zero familiarity with or foundation for just all jammed together. There’s really no way to improve it without major changes to how math is taught either lol. I didn’t struggle with shell/washer. I found it very intuitive and straight-forward and it sort of progressed from other problems we were taught. I had an awful time with a lot of the proof and series stuff we did. I crushed PFDs but most of my classmates struggled really hard with those.
calc 3 and even calc 1 was a breeze for me. well actually on second thought, the first time i took calc 1 i struggled but the second time i took it, I received an A+.
The hard part of Clac 2 was juggling all of the concepts.
Having to come up with orders of operations on my own because 'there is no order of operations'.
BS, there should be a series of stuff you can go through based on the given problem.
But yeah, remembering all the steps and possibilities for each equation was hard.
Overall, once you get used to it, it's not that bad.
I mean we had LIATE
Logs inverse trig algebraic functions and exponential functions but yea the thinking required is brutal
Hi!! Well it's really nice to see you personally ☺️ , where does " calculus 3" used ( in terms of physics specially) ??
just got out of calc 2 with a B+, I really enjoyed the infinite series like taylor and maclauren, as well as geometric and telescoping. I personally had the toughest time understanding Improper integrals and trig sub.
I did disk and shell in calc 1 and oh boy that was hard.
We are taught calculus in 2 semesters. Calc 1 and calc2, single and multivariable ones. What are we not taught? We have advanced calculus in the name of real analysis 2.
I really how specific you said the issue was
Personally, I thought calc 2 was the easiest then calc 3 and oddly I struggled the most in calc 1
To me, I think that just says u had trouble with the base initially but once you got it you got it.
Question .. what is single variable calculus ? is it same as calculus 1 ?
Im gonna take calc III this summer. Calc II was easier than Calc I, but series and work problems were a big pain
The disk and washer method was so hard for me to understand. Once I finally understood it, I felt like my third eye just opened. It felt gratifying. So far, the worst part of Calc 2 is making small errors that cost me tons of points. That’s what’s the hardest. Work problems were difficult at first, but once I understood them, it wasn’t that bad. I haven’t done series yet but I’ll expect that to be difficult as well.
I have yet to take calc 3, but calc 2 was mostly hard because the work load was just absurd. There is a lot packed into the class. And from a raw work required and attention required perspective the course took up roughly 3 (average) classes worth of energy for me.
Hey man I just took Calc 2 and I watched your video at the beginning of the semester. I ended the semester with an A and started with about a B+. What I will say about Calc 2 is that it is monumentally harder than Calc 1. In Calc 1 i probably studied only a few hours per week, but in Calc 2 easily 16+ hrs a week. Personally, the hardest concept for me to grasp was volumes (disk/shell method) but once I grasped it it became easy. Other than that, series were a close second, specifically involving conceptual questions. I remember studying nearly every problem in the book for the final and ended up getting an 88 on the final and a 93 in the class. By far, it was the hardest class I took this semester.
Coming from someone who failed calc 1 once and passed calc 2 first time around, I’d say calc 2 was the hardest for me. Since my calc 1 class the first time was online, that made it a lot harder for me to grasp the concepts and material. Cylindrical and dishwasher methods from calc 2 made my time in that class a lot harder, and many of the concepts in general made this class super difficult. I’d recommend taking any calc class in person if you can, as there’s a huge difference with what you can take away from them!
I did disk and shell in calc 1 and it was actually pretty easy for me
Calc 2 is hardest, but I found the disk/shell method easy - it just clicked in my head. Series and Sequences are the hardest to assimilate. The various trigonometric integration methods are difficult to understand and remember. Calc 3 is easier to grasp because it applies to more concrete problems - its just easier to conceptualize. I spent a few years in self instruction through video courses and online texts, and ultimately proof-read parts of an online calculus 3 text for a University professor. I don't think I could have done that for calculus 2.
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Infinite series are great to learn about. You take an infinite amount of numbers, add them together and get ... 2? That was a mind blowing the first time we did something like that.
I love all the series, the washer and disk method is definitely hard but it’s only cause that’s thrown at your face right off the bat and it’s so weird. I personally hate applying math (life scenarios) but enjoy it in other ways.
I definitely find calc III the hardest. I would say that my integrals and series were good enough to keep my grades afloat. My calc II class had an intro to calc III, and that's when I knew that I needed to study before even going to that class, which allowed me to get good grades. But damn, higher dimensions made my brain melt when I first encountered them.