Linear Algebra in 4 Weeks

Is it possible to learn Linear Algebra in 4 weeks? In this video we discuss this topic.
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[JR-ucnk]

I personally believe he should 100% go for it. It's not just about learning the material, which I definitely believe he can do, but it's also about challenging yourself. The more you get used to challenges and hard courses, especially being forced to learn so much in such a short time, the more prepared you will be for the most challenging class and the better you will be at learning.

[sennpowerhv]

I took a 3 hour linear algebra course on one Friday night in May 2022 from 7pm to 10 pm! 3blue1brown

[JGonzalezGUS]

I am 77 years old; love math and I'm self-studying. I have the latest edition of Anton's 'Elementary Linear Algebra'. In my humble opinion, it is the hardest to understand doing self-study. I had to switch to Poole's 'Linear Algebra; A Modern Introduction' and I find it so much better!. I also have Lay's 'Linear Algebra and its Applications'; also very good.
Okay, that was my 2 cents.

[markpfannenstiel]

the place where linear algebra kinda goes off the cliff is when you get to Vector spaces. This isn't really a hard topic, but it is where many students get stuck in the class because its more abstract. Make sure you get to the section on Vector spaces as soon as you can to spend your time here. I also have the Life of Fred Linear Algebra -which can be a nice little read of linear algebra (but not so many exercises) The manga guide to linear algebra is also a very easy to read through as well.

[KMMOS]

There is a difference between transcript building and subject learning. Yes, you may be able to complete the course with a good grade added to your transcript, but linear algebra is a large topic connected in many and deep ways with other math subjects.. These relationships take time and effort to create in one's mind, and on-going effort to maintain. As with learning a foreign language, there are no shortcuts to fluency.

[roger]

It took me several years to grasp linear algebra concepts, and my entire career was heavily dependent on it. No one can learn linear algebra in four weeks, but those with sufficient background and intelligence might get a good understanding of a few of the underlying basics. Linear algebra has hundreds of rules that must be understood, memorized, and become second nature. What does rank of a matrix mean? What does a matrix gets the rank it deserves mean? What does dependent versus independent mean? What does the implicit function theorem tell us? Get some good references such as those by Gilbert Strang.

[walter]

I took DE over the summer in 2002, I got a C+. Linear Algebra is your first abstract math class, so ideas like vector apces, null space, and linear transformations will be foreign to you. It's also a subject that is foundational for applied math and statistics. What do you gain by taking it over the summer? Why not take intro to basket weaving and get that out of the way and save your important classes for whole semesters? All of that said, it's 2024 now, not 2002. You can start watching Gilbert Strang's linear algebra lectures right now. You can download PDFs of probably a dozen linear algebra text. There are more tools available today than there were back then. You might be able to pull it off.

[cneejr]

I did a MA in economics and opted to take a Ph.D. level econometrics class but was underprepared in linear algebra. My prof recommended Anton to get up to speed quickly and it did the trick. I also picked up a copy of Larson's Elementary Linear Algebra (5th ed.) for next to nothing and found it quite good too.

[HeywoodJablome]

Rushing thru math is counterproductive. Absorb and understand the previous material with a good grasp and balance and you'll see how easily it will come to you. Understanding your physics, business, fluid dynamics, computer science or material science courses helps as well, if you learn WHY you are learning math, and HOW it can be applied in the real world works wonders

[sotojared]

I half way learned linear algebra backwards in about 3 months. I had absolutely no prerequisites, and the highest math I've formally learned before was trig. I'm a web developer and got interested in graphics programming, and to help me learn I built my own vector and gemm libraries from the ground up. To this day I can't fully explain any of the technical things like theorems and proofs, but I got a really good grasp of how to apply linear algebra to problems, and working with vector spaces and matrices. I went on to start building a physics based particle simulation, but have since taken a detour to learn pre-calc and calc 1. I did so by contributing to an open source arbitrary precision math library. It's been a hell of journey to say the least, but self learning math makes it much more fun and interesting. Channels like this, academic papers, chatGPT, online books, and many other resources made it possible for me.

Sadly, I doubt I'll ever properly learn the subjects thoroughly enough to solve worksheets, but I'm happy with sticking to the applied side of it with programming. I never thought I was any good at math until I challenged myself, and now I see it doesn't have to be hard or boring. For added context, this all stemmed from wanting to create custom filter effects with image manipulation/generation. Starting with building perlin based pRNG noise, then interpolation methods, onto color spaces, and convolutions. The rest was history 😂

[azimuth]

My advice: The 1st two to three chapters of any math book are usually the most important to understand, those are the fundamentals, the intuitions you need, and the rest of the book is (usually) extensions of those. Drill hard on Ch. 1 and 2, learn it as deeply as you can. (of course go farther if you have time) Then you should be able to "slide" through the rest of the course without too much difficulty. I think your goal is just "survival" here. Just my 2 cents from someone who learns a bit more slowly than the average bear.

[michaelrobinson]

Good luck fella, i hope you achieve all your goals, its great to see people that dare to dream, its inspiring.

[deifor]

For some reason I thought you were going to teach us linear algebra in this video. I was getting ready to brag about it tomorrow with my colleagues.

[rypetit]

I'm a math professor preparing to teach a 4-week online summer Linear Algebra course, and this is my first time ever teaching this course! I'm so glad I found this video, what a coincidence! I'm not sure how my students will be able to dedicate the 40+ hours per week schedule I'm creating, but I plan to do 2 exams, daily homework, discussions about the homework, proofs problems, and a project. I basically need to create a complete class by this summer with videos and all. Any suggestions would be appreciated!!

[homelandershaircut]

Linear algebra can be a bit confusing, like the determinant concept. My textbook simply could not explain it well. So I stuck to 3B1B's Essence of Linear Algebra binge-like course. And I learned more in a single video than I did in an entire chapter's worth of information. If things get slightly boring, uncover the real-life applications of whatever it is you're on. You would be surprised. I too like math, mainly visualizing and I truly believe studying linear algebra is the way to go. I am only an engineering student now, and I will be taking CALC III soon enough and I heard it requires a lot of visualizing, so I'm excited to continue learning vector spaces and geometry and whatnot. That being said, good luck!

[ndotl]

Depth versus breath. There are always tradeoffs. There is a tremendous difference in retention and ability to become a subject matter expert when taking a 4 week course when compared to the full 16 week semester course. When I got my first professional job, I worked with professionals with EE degrees who were 60 years old. While they were in school they did not learn all the subjects taught today. However, what they did learn the learned so well that they still remembered it.

tl;dr: If I were planning to go into a field that required in-depth knowledge of math, I would not take any shortcuts. Not only would I not take shortened courses, I would likely take extra (not required) courses. But I am wired that way. I value the extra time spent gaining the in-depth knowledge more than my graduation date.

[cringeofficial]

My opinion on this is completely from personal experience. I was going for a minor in mathematics in my senior year of college and struggled to find enough courses to take to graduate. I ended up taking both a linear algebra course and numerical analysis course in linear algebra at the same time in a 20 credit semester. The only problem was that linear algebra was a prerequisite to the numerical analysis class. However, I had the professor previously so I was able to get permission to take it. Ended up needing to go through my linear algebra book in a similar timescale to understand the concepts I was lacking and get my reps in with matrices. I think it is more than feasible, especially if you’re not taking anything else. I believe in you! Go for it!

[johndickinson]

Schaum edition on linear algebra is ripe with solved and proposed exercises also stick more to vector spaces and linear transformations, other book, Gilbert Strang's book

[MateiCode]

I did pretty much the same thing recently at my school in a similar time frame. It is totally possible, but make sure you keep up with due dates and studying! Good luck!

[robinzclark]

Go for it! Sounds like a great goal. Enjoy! You can do it.