8 ай бұрын
11 ай бұрын
Жыл бұрын
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@bluewater82 2 күн бұрын
Tell me you have no idea what you’re talking about without saying you have no idea what you’re talking about. 😂 Taylor Series and approximations are “Chapter 2?” Ratio Test is your “final” chapter? Bro everything you have listed here is ass-backwards and skips over so much. People don’t even touch on Taylor Series until the back half of the course after spending months learning integration techniques for algebraic and trigonometric expressions, improper integrals, partial fraction decomposition, and sequences before the word series even comes out of their mouths. You also didn’t even mention differential equations.
@fuzzypenguinams3207 2 күн бұрын
Hello, yeah this was the order we learned it in the order in our course sequence. No worries, your class probably just had a different order. Additionally, I did mention that other "Calculus 2" or alike names in other colleges might have different curriculum. Remember, it's hard to say, but this is what works in most (some? barely any??) universities. This is certainly what happened in our university though. Thank you for your feedback, I will use it to improve if I choose to remaster this project in the future. Currently I have no intention to do so, but things may change.
@bluewater82 Күн бұрын
@ There is no calc 2 class that starts with series and approximations.
@idonthaveanameyet4788 8 күн бұрын
i ran casymba and got "Attempted to use a variable or function where it is not valid" i ran : 10A/5A. any ideas?
@fuzzypenguinams3207 8 күн бұрын
Did you try putting a single quote in the front yet? If not, that may be what's going wrong in CASYMBA. Try that, and if it still doesn't work, try opening a new issue in the GitHub.
@tisseara120 28 күн бұрын
This goes over some but not all of Calc 2. There's much more to it than this, that of which I still haven't took yet. Going through this video, I pretty much knew like 75% of what was being taught. Only thing I didn't know of was the Taylor Series, which is the next video I have to watch from my calc 2 teacher.
@Daniel__- Ай бұрын
Hey Fuzzy, W video, any chance you could give us a tutorial on how you installed it? While the installation guide is good, a video step by step would be awesome as there arent any videos out even though PineappleCAS dropped years ago
@fuzzypenguinams3207 Ай бұрын
Hi Daniel, thanks for your kind words. I'm also not entirely sure what you meant by installed "it". If you meant how I installed the PineappleCAS software, I showed how to do so around 5:00. Just a note, you might need clibs.8xg which I show around 4:57. I also show how to upload it on the calculator around 6:00. If you are still a bit confused about any particular step that I went through (since I went through it a bit quickly) please let me know!
@Daniel__- Ай бұрын
@@fuzzypenguinams3207 yeah ima be real. I was so baked when I sent that trying to figure it out but the next morning I woke up and managed to get it through first try after reading the GitHub but thank you.
@Porgmaster-y3b Ай бұрын
I was looking for algebra 2 not calculus 2 but still probably would help
@martinbanatovski4805 2 ай бұрын
Why do you use CASYMBA before using PCAS?
@fuzzypenguinams3207 2 ай бұрын
This is just to help PCAS as CASYMBA is a little bit newer, but doesn't quite simplify your answer all the way. You could just use PCAS all the way, but PCAS is noticeably slower, and you would end up needing to run PCAS twice (with different arguments). From my experience, running PCAS twice takes longer. To cut down on time spent calculating and simplifying the expression, you should use CASYMBA to get it in a decently simplified form, and use PCAS for the final bits. I hope this helps you, though please note that your mileage may vary as the creator of CASYMBA recently added a few bug fixes and enhancements.
@martinbanatovski4805 2 ай бұрын
@@fuzzypenguinams3207 Alright will try, thanks for the guide!
@Daniel__- Ай бұрын
@@fuzzypenguinams3207 didn’t know this, will try tonight, want this calculator buffed to the max before this calc 2 midterm 🙏
@thebear2216 2 ай бұрын
Starting from minute 9:08 to … hey, was there a bird chirping in the background? :)
@swamihuman9395 3 ай бұрын
- Well done.
@fuzzypenguinams3207 3 ай бұрын
Thanks man, I hope the way I explained it helped!
@cardboardcrafts9834 3 ай бұрын
Great video!
@MarcoMa210 4 ай бұрын
5:38 We use "proof by knowing the answer" and we get that it converges to e.
@prawnstar9213 4 ай бұрын
After calculus 1 I was lost.. took 2 more semesters and only survived because my school had a “math lab” where you could get help and they would “help” with homework. I can’t even imagine trying to retake that class
@hydropage2855 5 ай бұрын
And that’s another video in the ocean of videos spreading lies that the most common way a computer finds trig values is with polynomial expansions
@fuzzypenguinams3207 5 ай бұрын
You're correct. After looking into it a bit more (as it is part of my major) it turns out CORDIC is MUCH more efficient than using polynomial expansions. However, at the time, I have not learned bitwise operations, nor did I know about how computers ACTUALLY do math. Oh well, we grow and learn. Thanks for pointing it out!
@hydropage2855 5 ай бұрын
@@fuzzypenguinams3207 What’s crazy is my literal calculus course in high school claimed polynomials were how all calculators do it, and I privately told my teacher later that that’s really not as true as it seems, and the CORDIC algorithm is much more efficient, and he was completely taken aback. This is a really weird lie and I wonder what made it spread so hard. Maybe because it’s such a quick thing to say “So why do we need these polynomials? Because calculators duhhhh”
@bruh-fw7op 5 ай бұрын
This is just sequences and series though. The rest is applications/optimization, continuity/differentiability, integration techniques (parts, trig substitution, etc), solids of revolution, arc length, and parametric/polar coordinates which is 80-90% of the course.
@williejohnson5172 5 ай бұрын
2:45 Nonsense. If a function can be written in terms of Euler's formula then it is integratable . Any trigonometric identity can be written in terms of Euler's formula. Again, mathematicians have polluted rational mathematics (as in sane) with this nonsense. You have got to clean this up!!
@maverickreynolds 6 ай бұрын
Wow this blew up!
@Chris55433 6 ай бұрын
watching this re-kindled my PTSD.
@rynocerusrex5050 6 ай бұрын
6 minute video, time to die a comical death
@wojteklachowski9233 6 ай бұрын
Your videos helped me quickly memorize some of the stuff that I did not know for my calculus II final exam today. Thank you.
@mk6_blog 6 ай бұрын
Thanks man i joind a competition in my uni didnt know what it was about turns out its about calc 2 (im a first year studying math001) Note: yes im speedrunning calc 2 Bets are open on how many questions i get right👇(we have 20 on the exam)
@mdshadmanyusufbhuiyan5699 7 ай бұрын
Good video but did not include ALL of Calculus 2.
@grav696 8 ай бұрын
Not sure what I just watched but you're gaming
@cardboardcrafts9834 8 ай бұрын
Happy Pi day!
@simonrichter3400 8 ай бұрын
i have a calculus bernhardt teacher at my highschool LOL
@usernametaken4023 8 ай бұрын
Instructions unclear, accidentally got a Ph.D in theoretical physics
@smithnyou2352 4 ай бұрын
Theoretical Ph.D in physics
@garethgoh7740 9 ай бұрын
nice the volume is good here
@fuzzypenguinams3207 9 ай бұрын
That was after I brought my fancy mic haha, thanks! Glad you liked this one!
@garethgoh7740 9 ай бұрын
Nice vid but i wished you could talk louder as i had to use headphones despite being at max vol
@specterer 9 ай бұрын
Quick question why is there no + C at 3:24?
@fuzzypenguinams3207 9 ай бұрын
Whoops, thank you for pointing it out! It seems I did forget that!!
@liorcohen5833 10 ай бұрын
We did all of that and more in calc 1
@jeffreybermudez3956 10 ай бұрын
I'm a community college student and I just finished my Calc 2 course and I ended up with a 93.17%. Should I be very proud of myself?
@fuzzypenguinams3207 10 ай бұрын
Absolutely, well done! Some people struggle with Calculus, and 93.15% is an insanely high grade! (Maybe even higher than mine)!
@jeffreybermudez3956 10 ай бұрын
@@fuzzypenguinams3207 Actually, I got 93.17% . Thank you for your comment!
@grav696 11 ай бұрын
Hi fuzzypenguin!
@fuzzypenguinams3207 11 ай бұрын
Helloo!!
@jeffersonpanora3177 11 ай бұрын
Nice job bro
@ianthehunter3532 11 ай бұрын
big w
@chesterotontop Жыл бұрын
I first watched this video as a bright eyed and bushy tailed algebra 2 student understanding nothing. Now, as my calculus 2 class wraps up, I finally understand every concept in this video to at least a fundamental level. Truly a fantastic feeling after so many watches Cheers
@DGQQ78 Жыл бұрын
*integrable
@TrevorD19 Жыл бұрын
The integral of cos(x^2) is (sin(x^2))/2
@TrevorD19 Жыл бұрын
Cosx2 is just sinx2/2
@fuzzypenguinams3207 Жыл бұрын
Can you clarify with powers? But thank you for your input! Did you mean: cos(x^2) = 0.5*sin(x^2) I tried graphing the functions and Desmos but I couldn't verify this, but I'm sure you might have some reasonable Mathematics proof backing with the trig identities that proves this behavior. Keep me posted!
@TrevorD19 Жыл бұрын
@@fuzzypenguinams3207 The integral of cos(x^2) is (sin(x^2))/2. Reverse chain rule.
@jakobpetrik72 Жыл бұрын
I cant wait till I have to answer these but on a timed exam
@Nonresponder01 Жыл бұрын
Theres no bass in the sounds. Sounds kinda hollow
@fuzzypenguinams3207 Жыл бұрын
I didn't have a very good mic at the time ;-;
@KakaCarrotCake295 Жыл бұрын
wait holy crap im in calc 3 now watching this for review and i just realized we were in the same calc 2 class last year with bbern
@fuzzypenguinams3207 Жыл бұрын
👋
@AstroMo Жыл бұрын
how did u do the animations
@fuzzypenguinams3207 Жыл бұрын
Hi! I did the animations using Manim (the community edition, with Cairo as the rendering backend). The animations was entirely programmatically created in python, but since I wrote the code really late at night, a lot of the code is... unreadable (to say the least). But I hope this video inspired you to try and make your own animation!
@AstroMo Жыл бұрын
@@fuzzypenguinams3207 I wanna start doing it but like I feel like it’s hard to learn
@fuzzypenguinams3207 Жыл бұрын
@@AstroMo Hi again! It seems intimidating to learn, but I'd like to tell you that I learned how to make this animation within a single week (starting from complete zero knowledge)! I encourage you to try and learn Manim, and there even is a Discord if you have questions, and on top of that, it has highly detailed documentation that you can find on the documentation page. Don't be intimidated to learn it, it certainly is not hard to learn! From Transform(), to Square(), to Text(), you'll find many different functions of Manim that you will definitely find useful for any animation you can think of!
@AstroMo Жыл бұрын
@@fuzzypenguinams3207 Alr man thanks I appreciate it
@burrybondz225 Жыл бұрын
" if you are hearing this message then I'm dead" type vibes.
@fuzzypenguinams3207 Жыл бұрын
Nope, I'm still here! I'm kind of busy these days thinking of the next video!
@z_max33 Жыл бұрын
This is like calc 2 at my school but without the part where they break your legs and kidnap your family
@stevebob240 Жыл бұрын
Damn. You got off easy.
@DMPLAYER1000 5 ай бұрын
They tore my limbs off and sacrificed me to satan
@carloszestyboy2901 2 ай бұрын
They made me watch as cannibals ate my family.
@firstname4337 Жыл бұрын
good video, could be louder -- I have my volume all the way up and still it could be louder
@maxzabriskie3969 Жыл бұрын
Thx man gotta calc bc final tomorrow and it’s getting late.
@baconmunchh Жыл бұрын
i am currently 11/16 weeks in my calc 2 semester and we have learnt absolutely none of this??????????
@maxzabriskie3969 Жыл бұрын
How bout now?
@seanhussain9647 Жыл бұрын
You could have added more if you didn’t spend time by apologizing about explaining an old ass concept.
@fuzzypenguinams3207 Жыл бұрын
Sorry :( It's due to my perfectionist-natured self, I wanted to clarify to the one (or two) of my friends that knew about the development of this video. I wanted to explain to them why I didn't finish the full video... But yes, I do believe that given a month (or so), I would have been able to complete the video. Do note, I am a full-time college student and I didn't have that much free time in my hands. (edit): Thank you for your suggestion however, I know from much feedback, that the apology in the beginning of the video is certainly unnecessary. I will now seriously consider removing it.
@shishirbhandari20 Жыл бұрын
Starts from 00:36
@50Steaks68 Жыл бұрын
Nice overview of like 1/6 of calc 2
@AtebitAcorn Жыл бұрын
This is not helpful at all. I don’t care what anyone says. No one will come out of this video and say, “I get it now”. 😂
@cardboardcrafts9834 Жыл бұрын
Obviously 5 minutes is a very short time to completely cover everything from calculus 2. However I think he did a very good job with the animations and explanations. This video can also help you visualize everything which would be very helpful for visual learners
@securebrowser1479 11 ай бұрын
This is generally for review if you already know it.
@fuzzypenguinams3207 Жыл бұрын
Oh my goodness, 100k views, thank you so much!! I did not expect for this to happen, but I am very thankful for all your support!!
@cardboardcrafts9834 Жыл бұрын
:)
@jakobpetrik72 Жыл бұрын
6:26 is that your computer fan in the background? lol.