Discrete Math - 1.7.1 Direct Proof

[@jtormusic4714]

Thank you! You helped me pass my abstract algebra class where our teacher just assumed we all knew how to write proofs and threw a ton of material at us. You’ve allowed me to enjoy pure math again!

[@DannyPhantumm]

Lmao I was working ahead, and around 3:55, I had just finished writing n^2 = 4k^2 + 1 thinking I was a god. Then, I heard Dr. Brehm say "Pleaaasee do not give me 4k^2 + 1... because.. I just can't even" and I felt personally attacked 😂

[@luisriveragonzalez9052]

3:58 “because.. I just.. I can’t even” don’t be silly guys. Let’s not disappoint her. She’s my guardian angel this semester♥️. Make sure you’re up to speed with the basics. 😂

[@danchatka8613]

You are less confusing than most videos about math proofs. Thank you for sharing your knowledge and teaching abilities.

[@rafay3543]

She's soooo clear of the rest, easily the best discrete teacher I've come across

[@alayna001]

Oh goodness! A teacher who explained the material instead of posturing how smart they are?!? You might just be my favorite person.

[@joshuaf.5398]

Your videos are incredibly helpful. I'm taking this class online and all they give us is a textbook. This has been a wonderful supplement. And the "I can't even" comment had me in fricken tears. :lol:

[@SawFinMath]

Glad it helped! And I've seen far too many students make that squaring mistake.

[@GreenEggAndSAM2]

LOL the “I can’t even” was so funny 😂

[@aightyrighty9387]

you just made that boring slides a lot more fun and better! thank you

[@moukafaslouka4796]

I got a lot from your discrete math videos! Thanks for sharing!

[@ayeshaaziz3065]

Huhh this was really helpful. Thank you 😊

[@waleedbensumaidea3947]

Thank you so much.. I really benefited greatly from your explanation of the lesson. .. I didn't understand the lesson from the doctor at the University. But I understood through your explanation

[@No.School.dk_Colur]

same

[@Ausq]

i love you so much, you are so clear and helpfull. THANNK YOUU

[@Fxm112-r4v]

The video is incredibly clear and helpful. Thank you!

[@user-mu2yk8tv2c]

thanks BulSU for a wonderful and tragic christmas vacation !

[@lizbarnes6340]

Your videos are helping me so much. Thank you!!!

[@wodeybrown1748]

You made this actually make sense! Thank you

[@annoyingprecision2487]

That was delightful. Thank you.

[@RajuLama-de1cf]

dear kim, thanks a lot

[@Ben_Acme]

Thanks alot 🥰🥰🥰🥰🥰🥰

[@ayahosman7717]

Thank you so much for this awesome explanation

[@zewdiherring9528]

Thank you! This helped immensely

[@wodeybrown1748]

Thank you so much, you are so helpful. Other peoples videos are so confusing lol

[@SawFinMath]

Happy to help!

[@ElifArslan-l9g]

thank you. i really like your explanations.

[@SawFinMath]

I appreciate it!

[@giullyasantos6831]

literally if i get good grade on this test tmr, I will personally find a way to provide you with everything you could possibly fucking want cuz I'm learning sm

[@SawFinMath]

Ha well then I hope you ace it! 👍🏼

[@giullyasantos6831]

@@SawFinMath I don't think I aced it, I don't remember which exam that was but thank God and you I passed the class!

[@reyy9220]

thank you so much this is so helpful!

[@daniellecartagenes168]

This was really helpful. Thank you!

[@SawFinMath]

You're so welcome!

[@ojichan982]

hello kim if i may , i am a computer sc student and i've been struggling to find the motivation and drive to study and teachers at uni weren't helpfull at all , it looked hard and blurry till i found you , words can not discribe how clarifying ur videos were . i study in algeria an african country and in french .ur the best (im white btw). can u plz link me a serie of activities of this course.

[@karanveersingh5535]

I'm white btw. Didn't get what u mean. ?

[@ojichan982]

@@karanveersingh5535 it's just cuz there is a misconception about people's skin color in Africa , they assume we are all black , i have nothing against any skin color , just wanted to present myself ig , (bad move) , if i offended anyone my sincere apologies .

[@karanveersingh5535]

@@ojichan982 No worries bro. Chill. 👍

[@sithuvindy9619]

Thank you so much

[@are_radrole]

im cofused, how do you get the sum as 4k^2 + 4k + 1.....can someone please help

[@dannytran1587]

(2k + 1) (2k + 1), if you multiply them together, you get 4k^2 and 4k + 1

[@M49arl10c]

You can figure it out using Distributive property

[@RhodaKhunga]

❤

[@Salamanca-joro]

4:01 😂😂😂😂😂😂

[@Heba_from_ERRAHMANE]

انا الوحيدة الجزائرية هنا 😂😂😂❤

[@DSTTRK]

sis i was abouta asleep

[@joey-kx5nu]

u save my life 🥲 thank u so much!!!!

[@kavindyaamarasinghe1404]

In 2 nd example why did you say for some k ∈ ℤ ? we normally write k ∈ ℤ right ?