College Algebra - Full Course with Python Code

Learn college Algebra from an experienced university mathematics professor. You will also learn how to implement all the Algebra concepts using the Python programming language.
💻 Syllabus & Code: github.com/edatfreecodecamp/p...
✏️ Ed Pratowski developed this course for freeCodeCamp.org.
⭐️ Contents ⭐️
⌨️ (00:00:00) Introduction
⌨️ (00:14:02) Ratios, Proportions, and conversions
⌨️ (00:32:22) Basic Algebra, solving equations (one variable)
⌨️ (01:07:44) Percents, Decimals, and Fractions
⌨️ (01:40:33) Math function definition, using two variables (x,y)
⌨️ (02:17:13) Slope and intercept on a graph
⌨️ (03:28:53) Factoring, finding common factors and factoring square roots
⌨️ (05:05:40) Graphing systems of equations
⌨️ (05:36:09) Solving systems of two equations
⌨️ (06:06:17) Applications of linear systems
⌨️ (07:30:29) Quadratic equations
⌨️ (09:34:44) Polynomial Graphs
⌨️ (10:19:10) Cost, Revenue, and Profit equations
⌨️ (11:05:19) Simple and compound interest formulas
⌨️ (12:15:27) Exponents and logarithms
⌨️ (14:19:13) Spreadsheets and Additional Resources
⌨️ (15:06:10) Conclusion
🎉 Thanks to our Champion and Sponsor supporters:
👾 Nattira Maneerat
👾 Heather Wcislo
👾 Serhiy Kalinets
👾 Erdeniz Unvan
👾 Justin Hual
👾 Agustín Kussrow
👾 Otis Morgan
--
Learn to code for free and get a developer job: www.freecodecamp.org
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[@Cinnamon112]

Godspeed to those that make videos like this free and easy to access, truly thank you

[@aae7583]

this video is the Lord's work. it is so appreciated. Changing lives, one upload at a time....

[@His-Soldier]

Deus Vult

[@germanhoyos4422]

Whats crazy is that FREE code camp is better at teaching these topics that PAID universities.

[@LevisRaju]

Next video I'm waiting for: Calculus-1 - Full Course with Python

[@abdessamad_5460]

please why we need to learn this course?? is that important in AI

[@LevisRaju]

@@abdessamad_5460 you meant algebra or artificial intelligence ?

[@nelmatrix3942]

@@abdessamad_5460 Yes it is. All be it, it not just important for A.I alone but you can also apply the knowledge and skill in engineering as a whole.

[@dfensmaulington1349]

Why wait?

[@tayyabhameed9559]

Use gpt

[@phillipnelson8567]

What an amazing thing FreeCodeCamp is doing, bringing education to the masses. As someone who never went to college (because I couldn't afford it), these high quality educational courses are treasures. Thank you! (More math videos, please!) :)

[@redfordkobayashi6936]

FreeCodeCamp is really low quality. They are bringing illusion of education to the masses.

[@Microphunktv-jb3kj]

16:08 - How is this College algebra? I did this in 6th grade in Estonia and they taught me to do these basic things in my head, not on paper. Need to watch the full video i guess, obviously gets more compicated the more i watch this... (but something tells me, that's why we became so nerdy and IT-focused country, that education system different)

[@redfordkobayashi6936]

@@Microphunktv-jb3kj Yup, fourth/fifth grade stuff. FreeCodeCamp is a joke.

[@panos270772]

@@Microphunktv-jb3kj Yes in greece we teach this stuff long before the age of 16 !

[@cicerochen313]

@@Microphunktv-jb3kj Yes, 3th~5th grade stuff in Far East Asia! But this material is for everybody and include those who did not have opportunity to take the whole education.

[@CristobalRuiz]

Thank you for all the incredible content that you share in the KZbin channel

[@user-kt4nk1su8b]

私は以前より青山さんを応援しており、これからもずっと応援していくと思います。 が、LGBT理解増進法案についての対応にはとても残念に思っております。 法案に反対である青山さんのお気持ちは理解できる(つもりです)が、残念ながら自由民主党内の議論で負けてしまったのです。指導部のやり方がキタナイのかもですが、負けてしまった以上、党の方針に従うのが党員の責務ではないでしょうか? 「反対って言っていたのに結局賛成した」「裏切られた」等々、事情を知らない人達からの誹謗中傷をこれまで以上に受けるでしょうが、青山さんの大義をこんな事(といっては失礼ですが)で使って欲しくないです。 今朝の放送では「衆議院解散ならば参議院で審議なく廃案」との事をお話されていましたが、巻き添えで他の法案も廃案になってしまう…。これまで時間をかけて議論してきた事を水泡に帰すなんて無駄の極みです。 ちゃんと審議し、堂々と賛成•成立した後の解散総選挙を私は望んでおります。 青山さんに大変失礼な文章になってしまいましたが、より大きい目的の為に、今回は拳を下ろして頂きたいです。 12 回覆 8 則回覆 重要回覆 ちな玉菜 ちな玉菜 16 小時前 LGBT法案は【議論で負けた】のでなく、【議論・多数決で勝っていたのに踏み潰された】のですよ。 だから青山さんは反対しているんです。 青山さんは【民主主義の否定を許さない】と言っているのです。 5 回覆 g4836021 g4836021 1 天前 自衛隊、警察だけでなく民間企業でも入隊、入社時にしっかり(厳重に)人物を把握するべきではないでしょうか。セキュリテ・クリアランスの有資格者だけでなく、組織に所属している人、全員が一定以上の資質を保持していることは大切だと思います。 17 回覆 No.1 JAPAN No.1 JAPAN 18 小時前 現場主義のお二人の話しは大変面白かった。またこの組み合わせでお願いします 17 回覆 55 silence 55 silence 1 天前 テンポもいいし、中身が濃いから1時間が早い！ 29 回覆 くま花 くま花 1 天前 凄く勉強になりました📖絶対みなさん聞くべきですね！聞かなきゃ損✨ 33 回覆 ウルトラJ ウルトラJ 1 天前 青山さん、峯村さんなんと豪華な顔合わせ、流石の知見、ハイレベルな内容で聞き応えがあり堪能しました。 46 回覆 11 wanko 11 wanko 1 天前 とても濃密な内容でした。ためになります。ありがとうございました。 34 回覆 通勤自転車 通勤自転車 17 小時前 くわー、このコンビ聴き応えが凄まじいですね！ 両者ゲストという形だからか、他で目にするトークと色々と違っていて面白い！ 11 回覆 マグノリア マグノリア 1 天前 私は高齢者になりましたが、最近の家庭教育が大変な事になっていると感じます。 自分が子育てしていた時は共通した善悪の認識がありましたが、 小学校の道徳教育が無くなったり、教育のあり方が変わったせいか、良き日本の文化が失われつつあるような気がします。 47 回覆 4 則回覆 Yuji Grappa Yuji Grappa 1 天前 やはり青山繁晴氏の回は神回が多いな 75 回覆 2 則回覆 青山繁晴応援　きよちゃんch　★2024年の総裁選を目指す♡ 青山繁晴応援　きよちゃんch　★2024年の総裁選を目指す♡ 22 小時前 コーちゃん🎉🎉🎉 ニッポン放送のスタッフの皆様、コージアップスタッフ様、 スペシャルウィークに、青山さんをお招き下さりありがとうございます🎉🎉🎉　 青山さんはコーちゃんとの対談が1番イキイキしているようにお見受けします（7年間も追っかけてます❤） 峰村先生、そして番組スタッフ様ありがとうございました！ 17 回覆 こなつ こなつ 4 小時前 (已編輯) 解散のタイミングは、微妙で、大切なんですね🤔🤔🤔 話題が盛りだくさんで楽しく、勉強になりました🙇 回覆 まつかわよういち まつかわよういち 16 小時前 解散は見送りになりました。残念です。 6 回覆 Mo No Mo No 1 天前 上念司さんが言っておられましたが、プライバシー侵害を盾に深い質問出来なくて、背景のスクリーニング出来ないという問題があるとか・・・ 警察もそうですが職種や立場によっては必須だと思います。 17 回覆 藤宮 藤宮 23 小時前 自動化・省人化及びパワードスーツ等による精鋭化でしょう。 10年前から想定されていたことで日本は遅い。 4 回覆 スヌーピー スヌーピー 1 天前 青山さんおはようございます 皆さん おはようございます 今から 聞かせて貰いますね 😊 17 回覆 麦わらの一味 麦わらの一味 23 小時前 青山繫晴先生、いつも子供たちの為の共同親権にご尽力いただきまして ありがとうございます。 15 回覆 やすくにまる やすくにまる 1 天前 神回‼ 27 回覆 Bianca Sol Bianca Sol 1 天前 明日解散にならばLGBT法案も廃案になる😅 12 回覆 スヌーピー スヌーピー 1 天前 楽しかったです ありがとう 御座いました 🤗 14 回覆 msr113y msr113y 1 天前 「神奈川県民は神奈川に帰属意識がない」→YOKOHAMAやYOKOSUKAのブランド力が大きいからでは? 私は埼玉県○○市ですが、○○市って言っても県内でも「?」なので、市の名前が国際的に有名なら、県に帰属意識なくなるのかな? 6 回覆 M Y M Y 19 小時前 青山氏の現岸田政権への本心が垣間見える ラジオならでのコメントであると思えた。 9 回覆 1 則回覆 髙橋圭介 髙橋圭介 1 天前 保守に対して大義を掲げて解散すれば戻るかも（LGBTをやめますって） 8 回覆 大和竜二 大和竜二 1 天前 タイミングやね。 LGBT法案可決前に解散すれば勝利 可決後に解散なら 惨敗！ 16 回覆 1 則回覆 宮本武蔵 宮本武蔵 1 天前 正論！ 11 回覆 エースドン エースドン 1 天前 国会議員は株式会社自民党の社員やないで、　有権者に選ばれた代表なんやで、そこんとこわかってる？？ 12 回覆 沢庵和尚 沢庵和尚 1 天前 護国の鬼として、三期目もがんばりましょう！ 7 回覆 祭（Sai） 祭（Sai） 13 小時前 成立前に解散するなら二度と自民党を支持しない誓いを覆すきっかけにしてやってもいい

[@oscargutierrez9753]

What an awesome gift to have this at our fingertips and be able to learn at our own pace. Thank you very much!!!

[@mickymcl8359]

Quality video. This guy (Prof Ed Protowski,) is a one of those rare people who can explain Algebra in an easy understandable way, that even I can comprehend. Thank you Prof Protowski, Quincy and FreeCodeCamp!

[@daineminton9687]

Highly appreciate this type of work, and please continue to keep up the great work.

[@magiquemarker]

This is incredible! Thank you Prof Protowski, Quincy and FreeCodeCamp!

[@apoorvasachan9022]

⭐ Contents ⭐ ⌨️ (00:00:00) Introduction ⌨️ (00:14:02) Ratios, Proportions, and conversions ⌨️ (00:32:22) Basic Algebra, solving equations (one variable) ⌨️ (01:07:44) Percents, Decimals, and Fractions ⌨️ (01:40:33) Math function definition, using two variables (x,y) ⌨️ (02:17:13) Slope and intercept on a graph ⌨️ (03:28:53) Factoring, finding common factors and factoring square roots ⌨️ (05:05:40) Graphing systems of equations ⌨️ (05:36:09) Solving systems of two equations ⌨️ (06:06:17) Applications of linear systems ⌨️ (07:30:29) Quadratic equations ⌨️ (09:34:44) Polynomial Graphs ⌨️ (10:19:10) Cost, Revenue, and Profit equations ⌨️ (11:05:19) Simple and compound interest formulas ⌨️ (12:15:27) Exponents and logarithms ⌨️ (14:19:13) Spreadsheets and Additional Resources ⌨️ (15:06:10) Conclusion

[@marceloruiz2974]

Gracias caballero 😊

[@RM-gm7lu]

Not all heros wear capes.n Thank you.

[@vic-pm3rm]

bro just copypasted the description

[@marceloruiz2974]

​@@vic-pm3rmhay varias razones 1) porque la descripción no se puede traducir para que los que no sepan inglés lo entiendan. 2) porque no todos los que ven estos videos saben ingles

[@ericcorona2817]

Just wanted to say THANK YOU from Venezuela! You're helping me a lot while I build the bases of my future.

[@brookemitchell2074]

wow, so far this is awesome! thank you so much for providing this content!!

[@EigenMaster]

we need a calculus version of this but thanks! edit: maybe a linear algebra too

[@AlfonsoNeilJimenezCasallas]

and linear algebra too!

[@hamzadlm6625]

exists, just look in the channel

[@mirshodoripov1035]

@@hamzadlm6625 where?

[@brhoom.h]

+1

[@anabelsa]

@@mirshodoripov1035 FreeCodeCamp has this list of math courses: kzbin.info/www/bejne/gqimg4WLlp2sirc, where you can find a Calculus course. However, they are pretty traditional courses, not computational math. I totally support your idea of a Calculus equivalent to this, and Stats, for that matter.

[@deadx5581]

If i had a professor like this, i would be loving to learn anything, sir is just too enthusiast/lovely!

[@yupppppppppppppppppppp5268]

All subjects in school really needs to be taught this way. So many kids kids like myself find intrest in coding but are so bogged down with having to keep pace with the core subjects. If I can learn how to solve problems in school through code I would be much more fulfilled.

[@Sushruth19]

woah this Professor is good! He is amazing, and deserves lots of love for both the instructor and freeCodeCamp!

[@khantsithu4383]

This is the exact course I'm waiting for. Huge thanks FreeCodeCamp & the professor!

[@mohammedelsharkawy6541]

I can't describe how thankful I am to your efforts of providing such great content to the public and for free🙏

[@ToTellaStory]

How refreshing to see a humble, knowledgable and intelligent person teaching python as a mathematical tool (which is really all there is to coding) instead of the typical overzealous, hyperactive, supertech enthusiast and coding apostle

[@lastnamefirst9667]

thank you so much, I am literally studying algebra and python. Just bought the books. This is the perfect supplement!

[@antonkonovalov8902]

Definitely starting this course, just amazed that it is for free. Great lecturer, explains with a heart. Thank you guys!

[@pedrojrreyesmorales5103]

this is solely amazing, I feel so proud of you guys

[@talhabedir3812]

I refuse to believe this is free. You guys are so precious.

[@NaguTexan]

Thanks for creating such wonderful videos !!

[@Riacho_lol]

Seriously, it seems like you guys cover every single subject I'm interested about. Thank you so much for supplementing my CS education.

[@omarbautista7790]

Me encantan estos mega mega mega videos de tantas horas, sigan mejorando continuamente por favor, este tipo de materiales ayuda demasiado y lo más interesante es que es entretenido.

[@mangmun001]

This channel always serves what needs with high-quality content ❤.

[@Sajjad_Farrokh]

that is true

[@dinten3616]

Love it, just in time with the start of my semester!

[@CodicologiaUCM]

I have just finished. Thanks for this awesome course. I am looking forward the next one!🤓

[@Freepalestine-.]

Do i need to learn python first to do this course?

[@pavelpavlov954]

Another amazing course!!!! Thanks ever so much freecodecamp!!!!

[@viajeradelaluz]

Super grateful for this content. I love you guys. 💜

[@user-ru9dn6sx7g]

Thanks for making math interesting, you truly are wonderful. This, to my beginner's mind is the best way to go about explaining math to aspiring programmers because it shows its use straightaway.

[@JG27Korny]

Very often you just need to implement college algebra level math in the code. For everything above there are specific functions. And for that this course is a great reference.

[@kichigan1]

I'm not a mathematician, but I love Algebra. I read books and loved solving problems. It gave me a kind of high doing it. I know very little about Phyton. I think this class is awesome. Even if I am not committed to go step by step now, I know I will later. Thanks!

[@ArjunCodess]

sorry sir but its Python not Phyton

[@alphar85]

And sorry sir this is how you spell "it is "

[@maryna734]

It was perfect, absolutly perfect. Thank you!

[@ram_qr]

As always great content. I love and respect this excellent channel

[@PatrickJones-bl2ic]

Thanks Ed. Amazing work!

[@brhoom.h]

we need a calculus course and linear algebra like this one.. with python (or code)

[@yurkas]

Thank you very much for such videos. Really appreciate it. All you need is just your desire to learn something new. 👍

[@SofiiaSavchenko-sy5sp]

i love this dude ... he's a really good prof

[@nobleriflemanstudio5164]

Great course from a great prof!😃

[@franciscomedinav]

Amazing content. Thank you very much for all these!!!!!!

[@VITORB82]

We live in a golden age of learning ❤

[@gamingmusic154]

I never seen this type of explanation in very simple manner the bestest and helpful vedio 🎉

[@penelopetech]

Ok looking at this after doing the freecodecamp college algebra course. Didn't know there was a python one. How cool.

[@mrcookies409]

This course is simply incredible, thanks professor.

[@DomedIsDoomed]

This is nice, highly recommended, even if just as refresher!

[@jamesmcgee1912]

This is awesome. I was doing the other freecodecamp college algebra course and translating to Python/Sympy.

[@pkavenger9990]

good to see another awesome free course you guys are legend.

[@rafaelcaal]

15 hours of my time well invested, thank you professor Pratowski, thank you freeCodeCamp

[@jocelynlewis8985]

Omg you are such a great math teacher ❤

[@muskulanikhil3623]

This course is perfect for who are looking deep into Data science/ ML.

[@adityak6612]

Hi bro i want to pursue msc in data science for that I want to learn linear algebra I know little bit of algebra 1 and 2 so is this course content full and good before starting with linear algebra for data science please help 🙏

[@AlfonsoNeilJimenezCasallas]

Education with high quality and free!

[@anabelsa]

Is there a Discord page or some other community platform to discuss this? Thank you for putting together this awesome material.

[@raven.4815]

Not really into algebra or Python, but mad props for uploading this gem!

[@gowthamkrishna1568]

You guys are heaven sent. Thank you.

[@sriranjiniks8740]

Thankuuuuuu so much I needed this badly.♥♥♥♥♥

[@treytrey6011]

Hello Professor Ed, thank you for making this very useful video. My one comment/ask is that the text being focused on is very small. Much of the screen is "dead space" (meaning unused.) For those of us that are older or vision impaired, it would be very nice if FCA could zoom in on the code being written (zoom in on the area of the screen that is being used). Thank you, and keep up the good work.

[@colin1444]

Great tutorial you are a great teacher

[@DB-gk1oq]

I have learned more from free code camp than I ever did in college classes.

[@MohammadBahiraei]

Iam just speechless. Thank you I really do appreciate your hard work

[@ryanbartlett672]

Thanks. I should to dig into this, but if I could get my kids to do this. Man what a differentiator.

[@drperygin]

This is awesome! Thanks!

[@AK-ox3mv]

Great course . Waiting for calculus version 👌

[@peter-tm4ex]

This is probably one of the best courses ever posted on python.

[@JR-ub3yv]

I am hesitant to start it. I’m guessing you recommend it?

[@germanhoyos4422]

do Calc 1 / 2 / 3 and trig next!!

[@freecodecamp]

Ok!

[@RigoVids]

I’ve never considered how difficult it would be to go back to basic level mathematics and explain the absolute fundamentals… the ideas that are predicate for future ideas seem so natural, so to be the one teaching it for the first time would seem an insurmountable challenge.

[@stonerpimp69]

in high school i started falling behind in calc and found myself going back to algebra to understand things better. i got off track with the teacher and just started ignoring her and teaching myself in class. one day i had started messing with the basic language in my TI80 and after a little playing around i thought it would be cool to program formulae/operations into my calculator so i wrote some pretty cool programs that would take input and have failsafes to keep you from doing illegal operations instead of letting the calculator give you an error. we were allowed to use the calculators on tests but by the time i wrote the programs i understood it all so well i didn't need them. teacher was actually an ap tester and wrote us a whole practice test packet that i never opened. writing the programs was all the study i needed, i got the max score on the ap exam and i never did any homework that i couldn't get done during classtime, but i'm not sure how much time i spent per day making and using the programs lol, it was fun so i was doing it in my other classes

[@dannuttle9005]

Fifteen hours! I'm not even mad. I'm impressed!

[@Thefuryspeed100]

Finally, i have motivation to study math

[@user-zk2bx5ev6e]

When you were talking about creating graphs, you should have mentioned that fig, ax = plt.subplots() raises an error. To fix that do fig, ax = list(plt.subplots()) instead.

[@Technoph1le]

Next video: Full Physics Course in TypeScript? I first thought about JavaScript, but TypeScript adds more flavor with it's type checking capability 🙂

[@Compuscience-Python-Prog-Exps]

I COULD ONLY WISH YOU WERE MY TEACHER! You explain things PERFECTLY!!-:)))

[@kanyamagaraabdallah8300]

merci frere ,je croire je reviendra sur ce video en dans instant

[@mawgraw4297]

Thank you so much for this!

[@rodrigopathetic2205]

This channel is amazing

[@dayanandgowda7081]

#enter 0 to unknown value # formula to find proportion is n1/d1 = n2/d2. # taking inputs from the user. n1=float(input("Enter the value of n1 :")) n2=float(input("Enter the value of n2 :")) d1=float(input("Enter the value of d1 :")) d2=float(input("Enter the value of d2 :")) # operation. if n1 == 0: answer_n1 = n2*d1/d2 print("n1 is equal to : ",answer_n1) elif n2 == 0: answer_n2 = n1*d2/d1 print("n2 is equal to : " , answer_n2) elif d1 == 0: answer_d1 = n1*d2/n2 print("d1 is equal to : ", answer_d1) elif d2 == 0: answer_d2 = n2*d1/n1 print("d2 is equal to : " ,answer_d2) else: print("enter any uknown value to get the answer , Thank You :")

[@danielrossi5160]

This is the kind of Math classes nobody ever had.. Great!! Thanks. Silly question: in the very first example, you say "eq" is set = 0, but where? Is it implicit of the way eq is written (eq = x - 2), or is it due to the Libraries and their Libraries' Object used? I also agree that an advance version of this on Python would be great! Thanks

[@ArjunCodess]

due to the Libraries and their Libraries' Object

[@tylerplayss]

Can’t wait to start this!

[@domscript]

By the way from the start if you need square root: 16**0.5, cubic root: 8**(1/3), and so on 32**(1/5), and so on ... Will watch!

[@JoFSa]

Great content, this is youtube at its best. Question though: Is this really 'college' algebra? Isn't it more high school level?

[@entertainmentnews2549]

Thank you for this sir ❤

[@horizons3844]

You are a wizard, Ed.

[@timucinersintasdemir]

Thank you for the content. It is very practical and informative. One question: what is he using as IDE?

[@grzegorzmir]

He is using google collab notebook. He says that at 0:56

[@dopplegangerdavid]

I always learn a lot from Master Roshi

[@zerosquad8097]

Very helpful. Thank You

[@eklavyakumar1204]

THANKS A LOT SIR ❤

[@ShneorElmaleh]

This is awesome, can someone do the same course for math but for a high school diploma?

[@CoreyHillesheim]

This is a great way to learn Python. I wish SymPy was available when I was in college.

[@parapet128]

1:02:42 , a = random.randint(1,11) , a might be 11, 11 is included

[@smartjackasswisdom1467]

Please make the next one linear algebra is better to learn that first and then continue to calculus

[@fogwall]

Freecodecamp is incredible, this is exactly what I've been looking for-big thanks!

[@dhruvidhorajiya2723]

Thank you so much 😊

[@cyberianoid]

*Excellent!* 😀

[@76_tsabbitnasrulloh10]

Aljebra+python, perfect!

[@carlosrivas2012]

Excellent. Thanks.

[@afrazkhalid]

Thank you.. Sir. This is so much worth.. Edication.. You. Have know idea how much this worth for us..

[@UtilityMaximus]

Thank you for your time and effort.

[@liondovelearning1391]

5 hours left guys!!!

[@Agniel87]

wow amazing, thanks a lot