Math for Game Devs [2022, part 1] • Numbers, Vectors & Dot Product - monstrousmath.com

# Math for Game Devs [2022, part 1] • Numbers, Vectors & Dot Product

Freya Holmér
Views: 311757
Like: 4158
Primarily for my students at FutureGames – I will only read chat/superchats during breaks!

Find out more about the school at
❓ FAQ ❱

💖 Support me on Patreon ❱
📺 I usually stream on twitch ❱
💬 Join my discord ❱

0:00:00 Intro
0:24:40 Number line, vector fundamentals
1:05:26 2D Vectors
1:29:14 Vector length (magnitude)
1:42:12 Vector normalization
1:52:04 Q: “Is there a term for vector that fits in a square instead of circle?”
1:55:33 Vector length (code version)
2:09:27 Vector multiplication
2:17:08 Dot product use cases
2:42:10 Practice
2:55:00 Vector projection
3:01:46 Assignments
3:20:00 Questions

1. Ethan Hammel says:

2. Laniakea S says:

Not trying to be creepy but your voice is like asmr for my ears!
Soothing.

3. Ophélia says:

you almost always have your headset on, is it a habit just to casual have it on or do you actually have it playing something?
I just like to have it casually myself…

4. zalypa2005 says:

5. felipe de Jesus says:

6. Tyronius Maximus says:

rope

7. egemenka1 says:

Wow, this video is absolutely amazing! Freya's method of explaining math concepts for game development is truly brilliant. The way she presents the material is so clear, concise, and easy to understand. The examples and visuals used throughout the video were incredibly helpful in solidifying my understanding of the subject matter. I can't thank you enough for sharing this valuable resource, Freya. You are a gifted educator, and I look forward to watching more of your videos in the future. Keep up the fantastic work!

8. Salem🐇 says:

I think I have a crush. 😍😍

9. Michael Charles Aubrey says:

10. Amir Moezz says:

Hi there, What exactly is this? And what are the examples of its uses?

11. Shahria Jaman khan says:

12. stan nesi says:

.: personally, I think AI art will separate the real artist from the mediocre, human-created art will become more valuable and not obsolete in the rampant AI art world, although AI art is the way forward for humanity technologically-wise, so don't worry about it! :.

13. Jack Venturas says:

So are you a female or a male? I can't tell.

14. Rat_King- says:

that art is so amazing!

15. Haider Bassim says:
16. Liquaa RD says:

Hi Freya , cant thank enough for these videos — i am just about to start watching this series , should i watch Math For Game Devs (2020) before this ?

17. Amanda Wanessa & Grandes Sucessos says:

I wish you all the best for your work. 😘

18. Golden Killzz says:

do u draw?

19. Henrique Mota says:

Very nice of you to put all this effort teaching this ❤!

20. kirkula says:

pertaining to ai art 3:45:02 , I don't see anything wrong with using it as a final composition, but only if trained on artwork that's been approved and it's delineated as ai artwork. Other great use cases can also be just to find inspiration for your own works, story boarding, concept art, etc.

A more specific example: imagine being a solo game dev that's total shit at art. You generate some stuff that fits close to what you imagined in your head, then you send that out to a commission artist so they can give you a final product that you would more likely to be happy with than what you might have wrote or said to them in a description of what you wanted.

Your arguments against it are still sound though imo.

21. Yashar98 says:

thank you so much.❤ If possible, please share the slides with us.

bruh, if a government or company wants to do something with AI they gunna do it regardless of who it hurts cuz guess what, morality is increasingly getting throw out the window. whether you like AI or ot, having it in the hands of the people, allows us to better understand the machine learning robot itself. but my 2 cents ig

23. راجيةالرحمان says:
24. Typhoons GT says:

Hello thank you for creating videos like this. I am an upcoming college student who will take this course and I am very bad at math and I am scared to lose my scholarship that I acquired if I fail math that is why I am thankful for you for making these for free

25. Ihasz0212 [HUN] says:

Hey,

I was always interested in game dev maths that was needed forbthe programming and rendering set ups.

You built up the information very well from the basics.

Might I ask you a personal question?

Do you happen to have Hungarian ancestors? When I saw your username I had the feeling that it looked Hungarian.

26. Andy Vandenberghe says:

amazing i just found this channel.

27. Serefine says:

I woke up to this. I left a crochet vid one to fall asleep but this also good

28. Riot Fist says:

Fuck yes thank you

29. iceddoubletalldouble says:

if i suck at math can I still become a game dev

30. shark number 1 says:

Ngl i am a dumbass after i watched all the streams i started getting better grade lol

As a dev, you need calculus to do what I do love. 😉

32. Super tenchoo says:

Hey Freya Holmer why not write math book for gamedevelopment

33. Fentalated Foyd says:

tr00n. you will never be a woman

34. Connor Springer says:

Lol at YouTube UX with not being able to find the superchats. Idk why but YouTube has a really bad UX in the app and I guess on desktop with live chat too.

35. Math BBN says:

very well. I want to teach like this . so very clear exercise

36. vj fnv says:

I cannot believe what I am seeing it with my eyes! LOOL TY SO MUCH!

37. tolkienfan1972 says:

Yt only just now recommended this. Stupid algo. At least I see it now

38. dc64b6a73bbe says:

im downvoting and unsubbing.

39. State of the Fuck says:

it helps me a lot

40. TestDriver says:

Great information and some interesting ways to explain. Thank you very much.
Inget e' som gamla Svedala !

41. Nosebleed de Groselha says:

If my math teachers in middle/high school were lovely people who love cats, I would be a math genius by now

I never developed anything, but suddenly had an idea that would make a great game for my final project in college, so I decided to take in the challenge. I’m sure your content will literally save my life. I haven’t even watched an hour of it yet and I already love your way of teaching, I can’t believe you’re putting all this out for free! Thank you so much for all this, Freya. +1 sub!

42. Kenny Star says:

What university let you own your likeness and lectures?

43. bell hyddy says:

・日本人が反論してきたら、大きな声で怒鳴りつけろ。
・体面を気にする日本人は国際社会で叩けば金を出す。
・日本人に弱みを見せるな。
・生粋の日本人など居ないと奴らに吹き込めば従順になる。
・日本国内での公害も、言いがかりをつけて賠償させろ。
・日本人が正しいことを言い始めたら、関係のない間違いを指摘してはぐらかせ。
・金も技術もないときは甘い声で日本に近づけ。
・騙せない相手でも、一度は試して見ることは常識だ。
・相手がうんざりするまで交渉は引き延ばせ。
・贈り物を拒否して困惑させろ、日本人ならもっといい物持ってくる。
・謝罪するくらいなら相手を訴えろ。
・日本人の前では困って見せろ

44. Philosophia says:

I wat to let you know that you have reached your target audience. Just found your channel while learning how to write custom shaders in Flutter(its a UI Toolkit) and while I was also looking for math, I found your channel! Keep it up for all the amazing work you have done!

45. Damiano Riello says:

Is it a good playlist for programmers that are new in the gaming world and have a basic knowledge of math ?

46. Aooide says:
47. Skeleton_craft Gamming (the skeleton king) says:

I would argue , like calculus, imaginary numbers are used to very frequently. If you're designing your own physics engine. But especially imaginary numbers are used a lot by people. It's just abstracted into functions.

48. Skeleton_craft Gamming (the skeleton king) says:

The real numbers are just vectors of order one

49. Isaiah says:

Im no game dev but this is interesting 🤔

50. Sun says:

I think tour right using YouTube vs Twitch! 👍👍👍👍