Calculus 2 Lecture 7.6: Improper Integrals

Calculus 2 Lecture 7.6: Improper Integrals

[davidemil]

Definitely putting this guy to the top of my list of "people who are gonna help me get through engineering".

[pizzamuch]

Time Stamps:

1. Difference between Proper & Improper integrals 0:00-2:02
2. 2 types of improper integrals 2:02-7:38
3. Infinite Intervals example (has 1 ∞) (Pretend its Definite, then approach limit, PD-AL) 7:38-18:07
4. Summary of PD-AL method 18:38-21:40
5. Convergence & Divergence 21:40 - 24:15

6. Infinite interval example (divergent case) 24:40- 31:00
7. How to check if the form 1/x^n is divergent or convergent? 31:15 - 43:45
8. Infinite interval example (has 1 ∞) (convergent case)) 43:50 - 53:20
9. Infinite interval example (has 1 ∞) (divergent case) 53:40 - 59:50
10. Infinite interval example (has 1 -∞) 59:50 - 1:16:12
11. Infinite interval example (has 2 ∞) (Break interval then PD-AL)1:16:12 - 1:33:18

12. Infinite Discontinuities example (left discontinuity) () 1:33:18 - 1:43:01
13. 3 types of infinite discontinuities 1:43:01-1:53:49
14. Infinite discontinuity (right discontinuity) 1:53:49 - 2:03:13
15. Infinite discontinuity (left discontinuity) 2:03:13 - 2:13:46
16. Infinite discontinuity (middle discontinuity) 2:14:36 - 2:16:25
17. Infinite interval (1 ∞) & Infinite discontinuity (left discontinuity)(Break interval then PD-AL at ∞ & discontinuity) 2:16:25 - 2:27:02

18. Comparison test to check for convergence & divergence 2:27:02 - 2:34:26
19. Comparison test example 2:34:26

[thebassofmontecristo]

Ok, gals and guys, these videos definitely work. I quit my textbook and stopped paying attention in class and took the risk of learning all the theory for the integral techniques test (everything from integration by parts up to improper integrals) using just these videos (of course I still used the text for the practice problems and I practiced A LOT). Yesterday I got my test and aced it with a perfect score. Thanks, Professor Leonard, for such an excellent job! Onward to series now...!
By the way, please DO pay attention in class and don't do like me. :)

[awesomewinter]

I got the finals results today and guess what? I passed calc 1 and 2 thanks to your videos!! Thank you so much, professor Leonard! These lectures have been a great help throughout the semester.

[iTrustInTheMusic]

Quick show of hands if you're okay with that one

*raises hand and realizes I'm not in the class*

[midnightskate]

Comparison Theorem starts at 2:27:00 for anyone else looking specifically for that.

[thebassofmontecristo]

I don't know if you noticed, but at 23:32 he did something magical with his back to the board as he explained convergence.

[junglebaby]

Jesus christ I watched this entire thing and I actually understand it...I'm debating on whether I should even bother going to my lecture next week when I can learn it 10x better here

[XGRAVITYXxx]

The only thing I can say is i love you.
Calc 1 final got 98%, taking calc 2 right now and thanks to YOU I am acing my tests!!!!
I hope you win the lottery or something..Thanks again!

[vfyqjii]

This guy is really talented. I am a math tutor myself, but he's just on top of the game. I wish my teachers at the University had at least half of the teaching skills of this Professor !!

[lukaswood]

He said they would spend 3 days on improper integrals.... My calc 2 prof did it in one day.... moving way too fast.
Luckily with superman here I can review/relearn some topics.
Thanks for the videos!

[captainobvious]

23:33 his hand perfectly matches up with the graph behind him when he says it gets “smaller and smaller and smaller”.

[huntc]

crystal clear, nuanced, organized, engaging. rare find in STEM education. 11/10 . thank you

[raimahussain]

You're an amazing teacher its unbelievable! You're making engineering calculus so much easier for me. Thank you so much!

[kilsonlaranja]

You are the most helpful teacher I've ever seen. watching your videos makes me like maths even more.

[jessicaw]

This man saved my life, my GPA and possibly my admission into my major!

[cutcc]

This man is the most reassuring calculus teacher ever, I love it =).

[tzzzijs]

I’m older and went back to school last year to work on an engineering degree. Even though I’d already taken calculus for my business degree, I had to retake it due to how long ago I took it because engineering requires calc 2, 3, and a couple more advanced math classes. I will say I would love to have a professor like this one. So far after calc 1 and into calc 2 this year, all my professors do is write a problem, work it out, and move on. No clear explanations, no sort of interaction. It’s just watching someone do algebra, trig, and then calculus. After class I come here, look up the section, pretend I’m in this class and have a way better understanding and sharper tools in the tool box to take on the homework. Thank you for these recordings. You are a great teacher.

[shamilabbasov]

After 3 days, it is my final, and I still rely on you. You saved my academic life. Thanks for everything in Calculus1. I hope, we will continue the path in Calculus 2 as well

[msenyk]

Because I usually lose my focus in class, thinking about other things, your lectures were extremely helpful for me. Because I can pause and rewind if i lost my focus.

Thank you prof. Leonard.