Welcome to Math with Professor V! Here you'll find a variety of content designed to help you understand math topics ranging from Algebra through Calculus 3, Linear Algebra, and Differential Equations. The videos are specific and organized by course and topic to make browsing as easy as possible.
Feel free to leave video requests in the comments page or email me directly:
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I'm getting stuck at the end part. A couple times I ended up with varying answers, my latest being 144/5 in total. What am I doing wrong? I've spent a half hour looking at it im tired now... Thanks for the video!!!!
Do you cover Calculus 4?
Every school titles their courses differently, but the topics you’re looking for should be on my “Calculus 3 Video Lectures” playlist.
I hope you enjoyed your yoga! I’m going to try to combine the logs in the morning 😊😊
Yoga was fantastic, thank you! ☺️ Let me know if the logs combine nicely. 👍🏻
YAY!!!!! THANK YOU FOR THE INTERVIEW, AND CONGRATS ON THE MIDTERM! AND WE HAVE THE SAME NAME TOO!!! :D 🥳🎉🥳🎉🥳🎉
Alex seems rlly chill :)
Definitely, not to mention funny, bright, and hard-working!
wow Prof.V you are a blessing thank you so much for the integral of the day. it is now clear
I’m so glad!!!! Hope you enjoyed it! Thank you for watching and commenting, I always appreciate you and your support. ☺️💕
yoh one hour gone can't solve it what happened?
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This was a very triggy integral.
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Hi Professor V, thank you for your video. I learned the trick from your previous integral exercise and used the same method as yours. Cheers.
Excellent! Glad you have mastered that new technique and solved this problem successfully! Well done 👍🏻
So satisfying when my answer matches yours. Great vid as always!
Yayyyyyyy great job 🙌🏻🙌🏻🙌🏻
In example 5, lifting the chain, are we assuming that the end result is the chain in an L shape, the arm of the L straight up the wall, the base of the L at 90 degrees along the floor? If so, what about the work done in the horizontal movement of the chain along the floor?
My class average for 3 out of the 4 tests in calc 3 during the summer was like 50%. 😬
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Very good video. Would it be possible to indicate how the Bernoulli equation is used in evaluating the probability in case we don't have StatCrunch available
Great Lecturer as usual. Everything seems perfectly fine, my question is exactly how are T-values generated - the tables that you have shown before the last set of example problems
Just love the way you speak 😅😅 professor,it's awesome 😎. And the videos are very help continue doing so otherwise I appreciate your effort , just need your email address
Awww thank you so much! ☺️☺️🫶🏻 [email protected]
24:40 this one is very difficult… ugh 😣
Not gonna lie… the letters are what trip me up. I have trouble forming the triangles 😩😩😩 this is one of my weaknesses in trig
Good luck
Keep going!❤
I will! Thanks! ☺️
I love it
Amazing!
ewesome mam great mathod to teach dumb student
No, no one watching these videos is a dumb student!
@@mathwithprofessorv greate mam but i mentioned my self by saying dumb student because i hav'nt attend any lecture in my university now i have to clear my subject calculus and geomatry
That doesn’t make you dumb, please don’t talk about yourself that way! I’m here to support you and help you succeed. 🫶🏻🫶🏻
Awesome! You shouldnt have cut the smile part haha
link to the main video please
Linear Algebra: Coordinates and Change of Basis (Section 4.7) Math with Professor V kzread.info/dash/bejne/iIiWmJaNfJjZc5M.html
Hi professor V what about if the fraction in radical is (x+6)/(x+2)
Hey Prof V, at the time of 8:18 on your video, shouldn't the denominator be 3x^2/3? I find that confusing because it was part of the step before but disappeared right after. Also, how do you get the -7/2 for local min and 7/2 for local max @33:39?
Yes, whoops! I forgot to the write the 3 in the denominator at the last step. And you need to plug the critical values into the original function to get 7/2 and -7/2.
Suppose I used the ratio test. I get to a point where I had (6k^k)/(k+1)^(k+1). From here I took a factor of (k+1) out giving me 6/(k+1)*(k/(k+1))^k. The last factor (k/(k+1)^k goes to 1/e as k goes to infinity. With the first factor as 6/(k+1) this would go to 0*1/e = 0 as k gets very large. Does this work?
I fainted when I saw the k^k for the first time😂. Edit: I have to go learn the root test now, I didn’t learn it because I didn’t need it for BC😮
Wow its actually quite simple. Thanks for the vid ❤
You’re so welcome! 😉 Haha 😆 I love how you talked about fainting when you saw k^k for the first time! Math is always more daunting until you understand what to do. Thanks for your comments, and happy to help you master the root test!
I’m back on the mathematics grind (still rusty but getting better) 😂 ❤
Yay love that! ☺️☺️
This one is a nightmare if you don’t recognize that limit as being e! 😭
I know!!!!!! 😂🫣
Thanks ❤for helping me understand 😊
My pleasure 😊
Nice. I enjoyed that one.
Glad to hear it! ☺️
Let's gooooo, the only other teacher I have for Calc is in my shorts feed now
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Does your Calc 3 playlist cover everything in Calc 3?
Yesssssss
Well I couldn’t do it lol I tried but it done kicked my ass 😂😂😂 ugh golly! I tried 😭😭 BUT I learned something… thank you! ❤❤
That’s the most important part! You’re so welcome! When I have some time I’m going to try and work out the other solution method you started. I’ll report back! 🫡 I appreciate your energy and support! So inspiring! ☺️☺️
Great job with the dark background! It’s easier to learn IMO 😊
For the next Integral of the day can you integrate 4 over the denominator of e to the power of 2x +4 Note: The 4 is NOT in the exponent position but still in denominator. I am requesting you this because i am having tough time with this problem.
Rewrite e^(2x) as (e^x)^2, multiply top and bottom by e^x, make u be e^x, and from there it’s basic partial fractions!
Yesssssss Aarav to the rescue!!! 👌🏻👌🏻 I did a similar problem here: kzread.info/dash/bejne/q51psrChp8eenag.htmlsi=JIHiJA_QGXdXx_cV Hopefully that helps, but I can still record it if you want, just let me know. ☺️☺️
Just found your page after my first calc 2 test your really helping alot
Oh that makes me so happy to hear!!! ☺️ Wishing you lots of success!
16:17 what do you mean by "x=4 is not in the domain"?
Summer is going great🎉🎉
Yay! 😀 That makes me so happy to hear! ☺️☺️🎉🎉🎉
I would’ve never guessed to multiply by sec²x. I made everything in terms of sine and cosine and got integral of [sin²x/(1+cos²x)] dx. And then I got stuck from there cuz I tried to do u substitution but it wasn’t working… golly these problems are so hard!! 😭😭 As always, great job Professor ❤
I think the way you started is fine too! You’d need to multiply by sinx or cosx top and bottom to make the u-sub work..:I didn’t try it yet but it should work out. I’ll do a less spicy one next so you don’t feel too defeated! Thanks for your comments as always, and keep up the great work! ☺️☺️☺️🫶🏻
@@mathwithprofessorv thank you! I appreciate it 🥰🥰
@@mathwithprofessorvI’ll just go based off your solution lol I couldn’t do this by converting it into sine and cosine. It’s way too difficult that way. It’s possible but it’s very hard. But at least I learned something lol ❤
Exactly that’s the point! When I have some time I’ll try finishing the problem the way you started. We are all always learning. ☺️☺️
I like your videos Professer V❤they helped me a lot Please do this one It was on my exam and I didn't know which test to use (n^n)/3^((n^3)+1) Series start at n=1 to infinity
I will work on recording it soon! Excellent problem! So glad my videos help you! Thanks for your support and membership. ☺️🫶🏻 Stay tuned!
Oh dear. I set my math skills up in equation form and discovered one of the factors is i...
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Thanks!
You are most welcome! Appreciate your support. 🫶🏻🫶🏻
At 13:23 why did you write the lower limit as 1 and the upper limit as 0,is it not supposed to be the other way around?
Hi Professor V, thank you for showing the solution. I tried the u sub, but I did not know the trick to multiply secant squared x.
Hopefully after that hint you could finish the problem! ☺️👍🏻
@@mathwithprofessorv Yes, Professor V. I was able to solve the problem with your hint. Cheers.
For brevity: t = tanx, s = secx. Not sure if this helps, but t^2 = s^2 - 1. So we can add 2 and subtract 2, and change 1 + s^2 to 2 + t^2 to get: x - 2*int(1/(t^2 + 2)) Let us work through just the integral now: Let u = t, div by s^2 = u^2 + 1 = 1/[(u^2+2)(u^2+1)] We proceed by partial fraction, looking for Au + B | Cu + D, which is the numerator of each part. We cross multiply, matching the terms by power to get: u^3[A + C] + u^2[B + D] + u[A + 2C] + [B + 2D] = 1. B + 2D is B + D + D, so D directly = 1 as we know B + D = 0 for the u^2 term to = 0. Now we also know B = -1. All of the other sets of equations with A and C equal zeros, so A and C must also both be zero. -> 0 -1 0 1 = -1/(u^2 + sqrt2^2) + 1/(u^2 + 1) = -1/sqrt2t^-1(u/sqrt2) + t^-1(u) Multiply out by the constant of 2, and 2/sqrt2 is just sqrt2, and t^-1(t) returns x. Then plug back in for u = t.
Beautifully done, and thank you for taking the time to share your solution process so elegantly and clearly! 👌🏻👌🏻☺️
For example 2 when testing -4, you simplified and had something that looked like a Aleternating series, but you extracted the 1/n^4 and did p series . But then for the examples after, you just stuck to doing the AST. Is there a reason why? For example, example 5 when testing -1/4 could u not have extracted the 1/sqrtn as well?
You missed what I said about the series converging absolutely, which is why AST was not necessary in example 2. This is not the case for the series in example 5. I have a video on absolute vs. conditional convergence if you need to review those concepts.
@@mathwithprofessorv i see sorry thank you very much :)
No problem, that’s a confusing concept so just keep reviewing it and practice explaining it to other people-it’ll help you!
I really love trig sub integrals, I don’t know why but they always feel the most straight forward
Trig sub is so great! 😄 I had a student years ago who was obsessed with trig sub and used it every chance he had! Even if it was more lengthy. Loved him; he had such a love for math it was contagious. ☺️
Hi Professor V! I was wondering what's the most advanced Math lesson you've instructed? I would love to see a video of you explaining topics like the gamma function or jacobi elliptic functions c:
I teach at a community college, we don’t cover any of that stuff! 😂 Our course offerings end after Calc 3, Linear Algebra, and Differential Equations.