Intro to LaTeX : Learn to write beautiful math equations || Part 1

► Part II with many more tips and tricks to writing math using LaTeX: • Intro to LaTeX **Full ...
►Part IIII about writing a thesis using LaTeX: • How to write a thesis ...
►Getting started using Overleaf: www.overleaf.com (Free browser based editor, no installation)
►A longer intro guide from Overleaf: www.overleaf.com/learn/latex/...)
If you're a STEM student or need to write math equations and math documents, this is all possible using something calld LaTeX. LaTeX is a typesetting language used widely across math and other STEM fields that let's you type in the language and then is marked up into beautiful math equations. It seems complicated at first (I have to learn a programming language??) but it is pretty easy to get started particularly using Overleaf. In this video I introduce the basic idea and commands so you can submit homework assignments in LaTeX. Topics include: creating and building a document in overleaf, text mode vs. math mode, inline math mode, display math mode, many formulas, enumerated lists, including graphics, and more.
0:00 What is LaTeX?
1:01 Using Overleaf
1:42 LaTeX Basics
3:48 Writing Formulas
10:55 Lists and Sections
12:10 More Formulas
13:06 Using Packages
14:49 Matrices
16:07 Comments
16:26 Images
Sponsored Note: This video is not sponsored by Overleaf. However, after this video was released, I entered into a sponsorship agreement with Overleaf for future parts in this Series.
Check out my MATH MERCH line in collaboration with Beautiful Equations
►www.beautifulequation.com/pag...
►Full Multivariable Calculus Playlist: • Calculus III: Multivar...
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Other Course Playlists:
►CALCULUS I: • Calculus I (Limits, De...
► CALCULUS II: • Calculus II (Integrati...
►DISCRETE MATH: • Discrete Math (Full Co...
►LINEAR ALGEBRA: • Linear Algebra (Full C...
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► Want to learn math effectively? Check out my "Learning Math" Series:
• 5 Tips To Make Math Pr...
►Want some cool math? Check out my "Cool Math" Series:
• Cool Math Series
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►Follow me on Twitter: / treforbazett
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This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
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►Join: / @drtrefor

[@DrTrefor]

One note: I used double dollar signs like $$equation$$ for equations in the Display Math mode. This works. Doing \[equation\] does more or less the same thing. However, in general \[equation\] is a newer way to do this that has several advantages so is probably better to use even if it is a bit of a new thing to memorize.

[@greatstuff5]

Do you hVe a way of aligning equations so I can leave reasons to the right? I tried begin equation array and begin align you know of an thing else ? Preferable without display mode or style

[@greatstuff5]

@Xinfei Huang I am trying to avoid begin align my professor/advisor hates it

[@greatstuff5]

@Xinfei Huang same with me I prefer it, idk why he’s very picky with latex and I’m currently helping him write solutions to a p adic number textbook and he shares his overleaf with me and HATES align

[@trafalgarla]

@@greatstuff5 You can use \begin{gather} which will center equations

[@greatstuff5]

@@trafalgarla oh wow had never heard of begin{gather} before thanks !

[@MichaelPennMath]

I was going to make a video like this for my students, but then I found this!!

[@DrTrefor]

hey Michael, seen some of your vids, I think they are awesome! Love how KZbin is definitely a space where someone like you can grow really quickly in this space by putting up interesting math problems with regularity, that's amazing.

[@annevanderbijl3510]

didn't expect you here Michael :)

[@rizalpurnawan3796]

Mr. Bazett and Mr. Penn, both of you have amazing channels. I wish there would be many people following your steps in making the world better.

[@Pablo-wg1lw]

Would still be nice to make such a good video on TeXmacs for your students!

[@ComplexVariables]

Yep, no need to redo what is already great. Cheers to both of you for the work you do for all of our students.

[@sailorgeer]

I used LaTeX to write my masters thesis in ocean engineering way back in 1985. Back then the compiler ran on the university mainframe computer. I’m surprised that the program still exists but in more user friendly version with instantaneous compiling! As for my masters thesis, which was about the dynamics of floating bodies, involving things like triple boundary integrals, Green’s theorem, real and complex math, I can say I eventually came to understand how to write and display the math in LaTeX much more than I understood the math itself :)j

[@jguo]

Oceanic engineer here from the early 2000s. I wrote both my Master's and PhD theses in LaTex, emacs was the editor. Amazing how little it needed to change to write something beautiful.

[@simonmathenge7544]

Damn!

[@AliAbbas092]

Wow

[@fahad_hassan_92]

Woah

[@simonmathenge7544]

al' ye older engineers need to come together and educate us on how to save earth. start posting random camera videos everywhere. WE NEED YOU! we are a generation brought up in the money era, getting a proper education is almost impossible unless you want to spend 6k for a course retake.and, ofcourse redoing the course is the only sure way to master the content.

[@Tuffadandem]

This is sooo good. To begin with thank you so much for taking the time to do the videos on prepositional logic, they were very helpful. As for this video, it is an absolute gold mine indeed. Thank you so much for taking the time to share this content. Such a legend!

[@jimmyt_1988]

This is now the fifth time i've come back to this video to remind me of how to do something. I am so grateful to this video. Documentation is even more useful when you know what you're looking for.

[@complexlogarithm3993]

I am really stunned by your talent and passion. You truly are a great teacher and also an enrichment to KZbin! Thank you so much and stay healthy!

[@chrisarmstrong5556]

I watched this video in January because I had an advanced geometry and analytical instrumentations course and wanted my TA's/Professors to have an easier time with the online format. It was the kickstart I needed into using LaTeX for so many assignments which has resulted in acquiring quite high marks in those courses. What I love the most about LaTeX is that it makes my documents appear clean and well formatted without having to care much. Formula's as well as exponents/subscripts can be very well designed and legible. Graphs that I compile in MatLab or Desmos can be saved as .png files and then retain a high degree of aspect ratio such that they are legible. This is something word processors such as Word lack where my proton NMR spectrums may have integration values that cannot be read but with LaTeX the .pdf enables a user to zoom in and read the values. Definitely recommend learning LaTeX. This was a great video to start becoming accustomed and then slowly Googling how to do specific commands to reach my composition goals.

[@quicktripgas]

Absolutely LOVE Overleaf! Love this channel as well!

[@henryw.1732]

Lovely! I decided to learn LaTeX at the beginning of this semester and it was slow going at first, but now that I'm used to it I'm never going back to hand-written assignments!

[@jcat187]

It was fun learning this in a day and never using it again.

[@melomelo9132]

If you NEED to learn LaTex, chances are you are gonna use LaTex on a daily basis. Just saying.

[@Pablo-wg1lw]

Yes, if you are not forced to use LaTeX, then it is much more efficient to use TeXmacs. Nice tutorial nonetheless...

[@dipendu02]

Searched all around youtube finally found a video from my favorite teacher himself thank you so much

[@WyattOSchaefer]

I cannot overestimate the value of this tutorial

[@adamkatav9752]

It's been a long time since I was impressed by a tutorial, well done!!!

[@sunraiii]

LOL - my summer semester has just begun and I need to learn Latex for calculus 2. What a godsend!

[@martinsauer5311]

You can also use a program called Lyx This gives you an optional GUI for Latex which might be easier for beginners if all the commands are overwhelming at first

[@crimfan]

@@martinsauer5311 Yup. Overleaf also has a GUI of a sort. As a LaTeX editor it's not that helpful, unlike TeXMaker, etc. But Overleaf's compiler just crushes everything and not having to have a local install can be very helpful. It also works well to collaborate with folks.

[@salmanqureshi3361]

Thanks a lot for this, you covered pretty much everything I need to get started with my final year dissertation in LaTeX 😀 was getting quite worried about using this LaTeX thing but this video is a real gem! Keep up the great work, stay safe 🙏🏼

[@DrTrefor]

Good luck on your dissertation!

[@bandisamasilela2531]

THIS VIDEO JUST RANDOMLY POPPED UP ON MY FEED, AND MADE ME REALIZE THAT I ACTUALLY HAVE TO LEARN THIS CAUSE ONE OF LECTURES SUGGESTED IT FOR WRITTING REPORTS. THANK.............. PS: YOU UPLOADED THIS ON MY BIRTHDAY

[@scourahachour8187]

You’re a great teacher with an engaging persona. I’m an undergrad math student down in Australia and your video was a blessing ❤️

[@DrTrefor]

Thank you

[@Vikram-wx4hg]

Thanks for introducing Overleaf and the tutorial! Super useful!

[@ghazals.a1318]

I really enjoyed this video and learned a lot. thank you, professor!

[@leocarmopereira]

After being first introduced to LaTeX in 2005 when I was studying Physics, I finally learned today. Thanks, man!

[@ronpearson1912]

When I see your PhD thesis I feel like im bumbling through life and lucky to have made it this far in math , science and engineering.

[@lolerie]

And when you see a book fully written in latex...

[@BenTzionZuckier]

Yessss omg I wish this existed at the beginning of this year!! Amazing

[@xoppa09]

This is awesome. Most latex manuals are too long and Dr. Trefor makes it interesting (and simple).

[@annoyingprecision2487]

Thank you for a wonderful intro to LaTeX, Dr Bazett.

[@Quijanos1]

Superlative instructional guide. Great energy. Thank you

[@nkpytelzhor]

Incredible - fast, clear, easy to comprehend, just what I needed!

[@DrTrefor]

Glad it helped!

[@Baumhunter200]

This is it! i need some programm like that to write equations in my master degree ... thank you so much .. this is a gamechanger for me ^^

[@ahlinad1221]

Thank you, my lecturer told us to learn this by ourselves.

[@gradecracker]

Please do more of this!!! This was so helpful! Love your videos!!

[@user-ch7vc4qe2q]

\begin{equation}\begin{aligned} is very useful for making multi-line aligned equations (use '&' to align, and \\ to break the lines)

[@natmath2576]

\begin{align} does both at the same time

[@simonmathenge7544]

i do academic services. recently got a job from a client requiring energy calculations, a PhD paper, this was my first and only video, she got an A. Apparently latex is Python Lite, the use package is just another import function. combining it with formulas from R and graphs from matlab is just amazing. presenting machine learning algorithms like gradient descent makes it so easy to comprehend.

[@TheRedstonedeluxe]

I love your charisma! It makes the content so much more engaging

[@FatRogSlim]

Wow, latex is so old I forgot it even existed! Thanks for the video

[@pinostrassen8862]

Thank you, this memorized a whole month of latex here.

[@beltusnkwawir2908]

Your passion and enthusiasm for the subject matter is contagious. Thanks Prof. Trefor. God Bless you

[@DrTrefor]

Thank you so much!

[@METODISEA]

I am so slow with technology. When I heard about Latex i felt it was too complicated. This tutorial showed otherwise. Following exactly as shown gave me so much confidence. Thank you!

[@johnkevin6134]

If I may suggest, the continued fraction on 9:15 can use \cfrac instead of \frac so that the terms will not become smaller [unless preferred]. Also, the figure on the last part, I think, should be inside a figure environment. Well, you really made me understand LaTeX again! This is really good!

[@DrTrefor]

That's a great suggestion, thank you!

[@veillerguise]

@@DrTrefor he schooled you and insulted you in the same sentence. so efficient!

[@dnuma5852]

@@veillerguise wa how did they insult him

[@aaron9828]

I'm actually excited to try this on my engineering assignments

[@user-hc2wz9jb7i]

Just started Physics at university and just had my first assignment that needed to be written up in LaTeX. This video was very helpful, thank you! :)

[@DrTrefor]

Glad it helped!

[@thorntontarr2894]

How sad, it's 2020 and you are are writing in LaTex by assignment! Time to change universities, mate.

[@user-lc6jq1hi1r]

@@thorntontarr2894 shut up

[@lupulaoi]

@@thorntontarr2894 what else can you do?

[@hahuphysicsliojkmq6355]

I will like to say thanks Dr Trefor Well, you really made me understand LaTeX again! thanks

[@JamesKimball97]

This guy is a trip. Great video!

[@cheggmi3637]

You are genius Sir. I have struggled with all these for long and the more videos i watched, the more confused I was, but this one here is a gem. You laid the foundation for learning Latec with solid granite stones. You explain what is what and why you are using what. I can almost do all these here without watching the video again simply because you explain the whys, hows and the whats. Thank you very much. I quickly clicked on the subsribe button like it was the last one available there :)

[@leonbyrne4339]

I just wanted to say thanks so much for posting this video. I've been avoiding learning how to use LaTeX just because I already have so many other programs I need to worry about and remember, but just recently the TA in my lab said we'd get extra credit if we used LaTeX. . .so here I am! This quick introduction was incredibly helpful, and I feel like I have most of the tools I need to get started, plus its so nice to have an online access that I don't have to download. This video was very helpful. Cheers!

[@DrTrefor]

Thanks!!

[@eleazertham5033]

Interesting stuff to learn during quarantine. Hope everyone is staying home and staying safe.... With love from India 🇮🇳

[@gunjanrawat4282]

Amazing! Thnx a lot for teaching LaTeX I had been searching for it for a lot and wasn't getting a good tutorial but now I understood it in a quite good way

[@DrTrefor]

You're very welcome!

[@FHB71]

I wrote my diploma thesis with LaTeX 25 years ago and there is nothing better if it comes to scientific publications.

[@Sebentheyargimachine]

Can we insert diagrams in it?

[@FHB71]

@@Sebentheyargimachine of course

[@satrialesporkstore7889]

This is awesome! Thank you so much! I will be back with more questions.

[@InkHeart233]

"hello world!" -No comma, unwatchable

[@DrTrefor]

Lol, harsh but fair

[@Pablo-wg1lw]

Hello, TeXmacs

[@Algebrodadio]

It's about time someone made a vid about this.

[@yolamontalvan9502]

Ok I’m bought. You convinced me. Since I know a bit of PostScript, Latex can do more in just one line. In PostScript you need multiple lines. Thanks professor.

[@bunnynique2512]

once I saw a teammate in college make a document for an essay with LaTeX and I fell in love with it, but the whole organizing the document with commands intimidated me a lot. this was very helpful for getting over it

[@DrTrefor]

glad it helped, LaTeX really is cool!

[@tareqal-hababi2954]

High respect for you!

[@joewang4962]

Saved my life!! Can't thank u enough for ur sharing

[@Math_with_Mrs.Mautner]

Awesome. Love your videos! I'm a math teacher, and your videos have helped me understand laTeX!

[@hrperformance]

Thank you so so much for this fantastically explained tutorial. The pinned comment regarding \[equation\] is also very much appreciated. All the best from the UK

[@DrTrefor]

Glad it helped!

[@ZackRekeSkjell]

I've been using the \large \Large and so on commands to make the brackets the right size, but using \left and ight to get the perfect size is so much easier!

[@user-bv1tv9ef9y]

So wholesome! Thanks a lot, you are a great explainer.

[@ashishlal7212]

The recommendation which is very knowledgable 😊

[@ernstuzhansky]

Thanks for the lesson. Well done! Clear and interesting.

[@PhysicistFriend]

Thanks for these Latex videos!

[@ItsMaddieNow]

My uni recommended latex for lab reports, this tutorial has been really useful.

[@sashamuller9743]

you deserve more likes and subs keep it up you helping us tremendously!

[@peaceofmind8578]

Thank you for creating this video. I am learning from it. All the best for you!

[@leonschollerer9135]

This video is SO well done. LaTeX is explained with so much structure so I got a good idea of how to use it

[@DrTrefor]

Thank you!

[@EricKolotyluk]

Wow, that was fun... It's been decades since I use LaTex... it's sure a lot easier to use now... thanks

[@PaulMenden5659]

LaTeX is truly an amazing tool!

[@WizardPlatypus]

This video gave me exactly what I was looking for, and I am soo grateful for that. Gave you a like and subscribed, thank you very much for your work]

[@ANASKHAN-yw8vx]

Thanks a lot sir! now i can do my classical mechanics assignment!!

[@neeleshgupta3491]

Thank you!! Love this series as a means of helping me read and write IEEE papers (gross).

[@AndersJackson]

Great introduction. Some tip: If you want to use \LaTeX{} to write a documentation in some other language then English, you actually also want to use package babel. So this is for Swedish: \documentclass[sv,a4paper]{article} % swedish and A4 paper format for the article \usepackage[utf8]{inputenc} % use UTF-8, as you all should do nowdays \usepackage[T1]{fontenc} % Adjust fonts in result so it will show you the right characters \usepackage[swedish]{babel} % And set \LaTeX{} to use Swedish language.

[@alexanderkowalewski4162]

I recently wrote my 9 page senior project paper on Gaussian analogs using LaTeX. It's a very good tool.

[@lawrencedoliveiro9104]

The single and double dollar signs also work for embedding maths formulas inside Markdown text in a Jupyter notebook.

[@mikemcmahon2622]

Great work Dr. This helped me and got me from being stuck in the mud. 😀

[@ronaldtrump8963]

Thank you sir. I will use LaTex in a MATH lecture this semester.

[@theadvocate3947]

several useful things to learn for my next math project (That represents 40 % of my grade, and presentation is important as well) Thank you so much!

[@akanksharoy9542]

I got to learn so much . Thank You so much sir. Watching this from India.🙏🙏

[@jongraham8866]

I am writing again in Latex for the first time since finishing my thesis years ago and it's slow going at this point. Thanks for the video.

[@marilyn8178]

What a helpful video. Dr Trefor you are a wonderful presenter and an excellent explainer too. Good on you for making this video. It is much appreciated! Keep up the great work.

[@DrTrefor]

Glad it helped!

[@ajarivas72]

He is awesome.

[@jeffreybarrero9299]

This video boosted my wish to return to school and use this to create my homework assignments. I've taken some classes, but I struggle to get the hang of LaTeX; especially while trying to attach graphing to it and making it symmetrical. Are there other "graphing" applications that can be integrated into latex? Thank you for your content, and I will try to give it another go

[@mateusmorais4056]

Wow, awesome video bro. Tks for sharing this

[@rajeevjaisawal3806]

Thank you so much Dr. Trefor Bazett.

[@DrTrefor]

You are very welcome!

[@abhinavmishra3824]

Thank you for this video. Very good explanation made by you.

[@satyajeetkumar6386]

Very informative video❤️ Thanks for uploading it.😀

[@jakeboy03]

Thanks a lot for this video. I need Latex for my construction class homework and this is very helpful :)

[@otabekumarov8975]

Thank you bro, I really appreciate your help.

[@desykevin7133]

thank you sir for the effort of making this!

[@thomasgebert6119]

It's not on overleaf, but another option (and the one I prefer) is to use Pandoc markdown and rendering latex. You can drop in latex whenever you need to, including equations, but I find that markdown gives me fewer headaches than vanilla latex. For example, despite my best efforts, I *always* end up with a backwards doublequote somewhere in my document because I forget to use backtick. Pandoc smooths that out for me.

[@gautamhathiwala7267]

Loved your video I am going to follow you to learn Latex Thank you

[@simatwokirwa4500]

Concise and excellent Intro to LaTeX ...

[@prithujsarkar2010]

wow! Thanks for teaching so clearly and straight forward, got to learn a new skill in quarantine tho !!

[@DrTrefor]

Thank you! Good luck:)

[@greisthomson]

I've a paper on Latex in my fifth semester of my Mathematics degree. Thank you for both your videos.

[@mypetsathome]

Can't we do the same with MS Office? Why do we need to learn LaTeX?

[@solides7541]

Incredibly explained

[@zobayermostafa8154]

Really helpful video with nice intro.Love from Bangladesh.

[@forthrightgambitia1032]

Just a small point to add tikzpicture package is really powerful and you can easily use the axis graph to produce really good images.

[@commonNigerian]

Thank you very much but I'm still missing something: I tried copying the formulae/expressions and pasting on MS Word where the rest of my work is typed, they didn't appear right. Any ideas? Edit: Never mind, I just found Word has support for Latex. Cheers!

[@jamesdennis6120]

Still one of my favourite professors. A shame that I didn’t get to learn face to face. But who knows, still might happen 👌🏽

[@justinweaver375]

Hello Dr. Trefor Bazett. Thank you for this video! I also really enjoy your videos on multivariable calc. and vector calc. Do you have any advice on what may be the best product for me to use in 2022?

[@gmcenroe]

Thanks for this tutorial . This is a nice site and I like the way it compiles to show your results so corrections are possible before downloading the PDF.

[@donegal79]

You are such a generous guy......thank you :-)

[@alirahimikhojasteh7289]

Thank you, Trefor. Please provide some advanced math writing tutorials