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 😂
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.
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.
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.
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.
I loved Anton's Linear Algebra book. What did you find tough about it? Linear Algebra is a tough subject, much harder than differential equations in my option.
@@beophobic9653 Poole's starts with vectors, which I didn't find hard considering I had my fill of them in Physics, and then goes to linear equations and only then really into harder stuff about matrices. I found that after a few pages Anton's goes the full length on matrices: square of matrices, matrix polynomials, with theorems and proofs, which is okay, except that's not what I was looking for in an 'Elementary....." book. All of that probably good for a college course, but I didn't find it useful for initial self-study on linear algebra.
I have been on the same track, I love Anton's book, understood a lot, but vector spaces is where even he starts going to explanations presuming will understand immediately but i found it not so. Glad to see someone's on the same track
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.
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.
@@ucouldtell3326 I took Calc III and DiffyQ in 3 1/2 week for each during June/July at my college. It was around 3 hours for class in the morning (8:30 am to noon with a break) and then around 3 hours of studying in the afternoon and 2 to 3 hours at night. Good times!
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.
" 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" One could say then that it indeed takes that much to learn, because once you grasp the basics, you can build upon them and improve. Similarly to drawing, then you are just perfecting the craft, creating more and more complex images.
With enough background you can learn anything. I've taken a few proof based courses and several other math courses before going into linear algebra and it was very easy to get ahold of the concepts.
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
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.
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!
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!
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!
Back when I was younger and studying math I took a 4 week summer course in calculus. I worked hard and got a high grade but to this day I don’t feel confident about calculus. It could work out fine for you though if, after the linear algebra course is over, you make yourself do lots and lots - maybe hundreds - of problems. Like anything else in math you don’t really understand it until you done a huge amount of problems.
@@mudasirjan06 It is if you happen to love mathematics. 🤪 And if you’re not going to use calculus, why are you taking the class? It’s the most important things to know if you’re going to work in the STEM world. Calculus gave us the world as we know it.
You can learn the computation maybe in 4 weeks, but learning the other things, aside from geometry, you will keep learning new things about linear algebra like the connections to exponential matrices etc. So, I don't speak for everyone, but I think some of us keep coming back to linear algebra to cement concepts and learn from other perspectives and learn new concepts that just all seem to click. There are many applications in other subjects like economics and physics with their own set of estimators that you won't learn all that linear algebra has to offer in a basic course. Like projecting a matrix onto a y vector into a 2d subspace of x variables in statistics, among other concepts.
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.
I'm still learning linear algebra, but now I've moved on multilinear algebra. Just like Math Sorcerer says, there's always more to learn. I got an A in my linear algebra class about 7 years ago, but I don't think I really understood things like the Spectral Theorem or the Singular Value Decomposition, etc., until maybe 3 years ago, when I went back through several proofs and worked many more problems and made up a bunch of examples.
I need to do this. I was required to take a "math methods for physicists" course last semester, but we only spent 2 weeks on linear algebra. Now, I'm taking quantum mechanics, our final is in 4 weeks, and our professor assumes that we are all confident with linear algebra. A lot of my classmates were smart and took an additional, optional, linear algebra course in the past. I feel behind, but I am determined to self-study this material.
I would say that he shouldn't. But that's only because I can't do it. My baseline concern is how much of the subject will Robbie retain of his studies? And Linear Algebra is a key topic for more advanced courses. Good luck, and tread lightly.
I definitely think he should 100% try. It's an opportunity for him to test himself. Regardless of what happens, he'll be bettering his learning capabilites.
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
Linear algebra has been my favorite math subject so far in an EE curriculum. Linear Algebra and It's Applications by Lay is quite nice. With no other academic obligations, the summer course should be doable.
With "Linear Algebra Done Right" it can be done for sure. But the material is presented in a non-standard way even though I think it is the most logical way to present Linear Algebra. Another alternative would be "Linear Algebra Done Wrong" as it is a nice compromise between the more standard texts and "Linear Algebra Done Right"
From my experience, knowledge takes time to mature; with 4 weeks you (student) may be able to prepare and pass the exam (even with excellent success marks) however reason for this is: 1.) courses usually follow just one book and if you adopt that single way of looking at things you might likely perform well 2.) in 4 weeks you can push a lot of knowledge in some sort of short memory, or maybe not a short memory, but you can gain some immature "untested" knowledge which vanish quickly afterwards if you don't cross it with other views on things, read another book and give yourself a room to think about implications, what ifs, finding your own examples and counterexamples for things etc. However, exact decision might still be to take it, just to "master it" will very likely require a lot of follow-up work after those 4 weeks. Nice videos, by the way:)
Yes that's a summer course, four days a week for four weeks. I've taken physics 2 (E&M) as a summer course. It was hard but not unreasonable - the issue is the density of the material. You can't blink. It's a sprint. If this is the only class that guy is taking and he devotes his free time to homework and studying, then it's totally reasonable.
Hello everyone, I'm a software engineer and doing my master's now in this major. I finished linear algebra in 1 month, and from my experience it is difficult to be a master of linear algebra but still you can understand problems and solve them with the knowledge that you have learned in 4 weeks. You should definitely go for it. Good luck 🍀
Linear Algebra of all the math classes came the fastest to me, I loved it an was naturally good at it...unlike calculus which i had to work at to get As. Even still though 4 weeks is not enough time, at least for me it wouldn't be.
I honestly think a four-week intensive course could be a good way to get into linear algebra, it’s also a subject with a wide array of uses, so even though the course would be fast paced, the basic concepts should be reinforced with later coursework.
I just went 99% through DC Circuits with a Pre-Req. claimed and then for the final I can't do the LA stuff. Now I've had DC at the CC level and cleared it w/ 4.0. I wanted a review. Now I have wait until I complete LA. No big deal. But I did check the Pre=Req. before I bought the course. Like I say sometimes school is more of a chess game at the higher levels. Best !
4 weeks, that's roughly 20 days of maths, not counting holidays. My guess is there will be a class plus a lab every day, for around 4-5 hours. Plus the self-study and self-practice, and the graded paper / homework. Intense, but doable. Best of luck to you !! I hope you succeed :)
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!!
@rypetit As a student if I were to take your course, having Zoom office hours several times a week, day and evening sessions, I would find to be extremely helpful. Having live online review sessions or per-recorded review sessions would also be very helpful. Have you considered giving graded or ungraded quizzes on Blackboard?
If you don’t have a job or family, you no life the class and self study ahead of time I think it’s hard but doable. If you have a job and/or family it could be doable but I think your grade, mental health and physical health will probably suffer. Either way I don’t necessarily think it’s the best way to learn the material. A lot can be said about spaced repetition and digesting the material. Then again, it is nice to have only one thing to put your focus into everyday. If you have trouble balancing your studies for multiple classes or you anticipate you’ll have a chaotic schedule, accelerated courses might be better for you. College is pretty fast paced no matter what you do, if you want to graduate in a timely manner. So pick your poison.
My advice would be to supplement / review the lin algebra course with the excellent (and often humourous) lectures by Gilbert Strang which are all online. His books are excellent as well btw. I also have the Anton book, and it is also fabulous.
I think with high motivation, learning the basics of linear algebra in 4 weeks is entirely possible. For example, follow Gilbert Strang's video lectures and do as many exercises as you can, 4 weeks is more than enough to establish a bridge head in the subject. That being said, I think it is also important to avoid the "once and forever" mindset. Don't set unrealistic goals (such as mastering linear algebra in 4 weeks). Linear algebra is a vast and deep subject with incredibly broad applications. So it takes time and thus patience to internalize the definitions and theorems. Good luck!
Actually right know I'm preparing for an admission exam and I'm making a super intensive math review. My plan is to review Linear Algebra topics in exactly 4 weeks. I have 2 good books, Lang's - Linear Algebra and Axler's - Linear Algebra Done Right. My advice is to write a detailed study plan.
Practice tests is greater than self study. So you want to combine both and interleaving the problems instead of block practice which is unfortunately how math books are written. Also use a pamadoro technique or take a 10 minute nap ( not a cell phone break) for every hour. This helps 10x your learning in terms of neuroplasticity. Basically it helps with those difficult problems. Good luck.
It boils down to be a matter of expectation management - what you expect from learning LA in 4 weeks. The level of satisfaction would likely to be inversely related.
You can "learn" anything over any time period you want. The real question is what you mean by master. One of the most instructive sources on this topic is the book/website/videos by Scott Young on Ultra Learning. He studied the entire MIT BS Computer Science curriculum in one year. That's four years worth of work compressed into one year. He watched the video lectures. Took all the final exams. He posted all of his results on-line. While he did well in some courses, in a number of them his grades were in the 60-79% range. So had he graduated with those grades he would have been considered a mediocre student at best.. did he really master the material?Then again, he did it for very little cost and in a vastly shorter period. He did say he was spending 8 hours a day studying for a big chunk of that time. I'm not saying don't go for it. Just manage your expectations.
From what I can tell the best thing ya learn in school is some kind of stress management. I've had people, lacking formal degrees flip out on me in Companies 'cause they were so stressed by the Company. Or whatever their problem was. And not to brag but I'm not the best person to be flippin' out on. Though I do have alot of self restraint and long temperament. Think on consequences before I act. I have a short backround in Security, Infantry, Body Building and MA. In addition to being a Drafter and Physics student.
Are you taking a four-week linear algebra course during the summer as a prerequisite for a course that you want to take in the fall semester? Does your school only offer a four-week course in linear algebra? I offer the following suggestion: There are community colleges and universities that offer 8-week and 12-week linear algebra courses, some are taught online, that you could take and transfer back to your university.
Regarding linear algebra in four (4) weeks...yes a head start is a good move! Find a place of your choice to study. I'm believing that your confidence will increase!
I admire his learning habits, but I have to say that watch out for the burnout effect, learning is a lifetime thing, don't push yourself too hard, otherwise you will get lost in self doubt
I think its okay to self study and to take a crash course in math before you are required to take the same math for a degree. I see it as a rehearsal for when the math is going matter in terms of grades. I do alright self studying in algebra and Calculus without trigonometry, but I do wonder if I would I do as well in a actual math class. I worry about failing an actual math class that's required for what I'm want to do. But I think I'd regret a lot more not trying. I just do the best I can. Just do the best you can and what you think is best for you.
Personally, I took an ODE class in 4 weeks while in another country. I don't recommend it for Diff-eq 1. Linear algebra maybe.. If your prof is still talking about gaussian jordan elimination after week 4, you're definitely wasting your linear algebra requirement in a 4 week course where you don't even get to eigenvalues and eigenvectors. My prof sat on gaussian jordan elimination problems forever, and then in 2-5 minutes explained eigenvalues/eigenvectors because they're important to engineering and statistics. I had to spend some time teaching myself that so I could understand some statistics and diff-eq 2 where we began solving linear systems. Moral of the story, don't skimp out on linear algebra. Or at least make sure you hone your linear algebra. It's a very important subject.
@douglasstrother6584 I strongly agree. Additionally, I think it's really depends on what textbook the class is using. If the book is an introduction to linear algebra for science and engineering majors mainly involving calculations, I would say yes. If the book is more for math majors including some proofs and theory, I think waiting until the fall semester would probably be a better idea.
Book tip: "A Mind For Numbers: How to Excel at Math and Science" by Barbara Oakley. Or take the course "Learning How to Learn" on Coursera, which Oakley co-teaches. The book and the course are also useful for people who are already good at maths, and even for people who are learning things that have nothing to do with maths or sciences, e.g. foreign languages.
Enough of me though what you really want to be solid in what you learn in LA because it's Applied in several fields down the road especially electronics. Mech. too not sure where. But ya got to be able to form those equations f/ whatever. I can't speak on the Mech side but circuits yes or at least in coursework. I don't suspect it's too often you have multiple power sources in Real World Design.
Maybe he won't be able to do it and will have to take the subject again, but repetition is good for memory anyways. I'd definitely go for it unless I was really worried about a program GPA minimum or something.
Hello Math Sorcerer After Completing Discrete Math Book can I start Proof Writing book without studing Algebra and Trignometry. And is Proof Book by Daniel J Velleman Good proof book to start for beginner ?
Dude, you cannot self study this one - you need to free your mind and drop right into it. Pretend you’re in a coffeehouse and your friend is giving you a summary. The hardest part will be getting to that Zen-like mind state. This is a high level overview. Get ready to learn how to work on the fly.
If 6 week courses are the fastest by your standards then I might actually be a genius in math. I distinctly remember also having only 4 weeks for linear algebra and wasted 2 of those, but then I went 100% with sleepless nights and aced it. I don't think that is healthy 😅. It is possible through if you ask me
I'm curious about why you said studying in the morning is best. Is it? Or does it vary by person? I am not a morning person, so I do much of my studying very late at night. Sometimes I dream about it, which I suspect might be helping.
If you really grind on it, you can get the basics down pretty good, but a lot of the cool stuff isn't going to sink in in that time frame. You'll probably pass though. They probably aren't setting unrealistic standards in the class.
I graduated high school in 1987 and never got past basic math. I just want to learn how car audio amplifiers work, and linear algebra pops up on the screen.
I don't do summer classes normally. I think ya need time to soak up the details. It depends on the persons backround. Sometimes school is more like a game of chess. Here what I would do. Try to pull through but if you can't blow the final so it put your grade where you can retake it at a normal pace. Everybody is in such a hurry . . . I just don't see why. Or you could switch to audit if allowed or if your close ask if you can have a letter grade and finish later. Sometimes for some circumstances you'll be given up 1 yr. to complete and then test. Now this may help. MS Copilot (AI) can do most problems. Chat GPT as well. If you get stuck. Generally speaking, I think you made a bad choice by trying to take a min. 3 qtr class in 4 weeks and should've known better. I had a Spanish class that during a summer blew my GPA cum. as the Instructor doubled I & II together for a summer. We given an option to bail but I had had it in HS and thought I could hang and I found out. It really depends on the person. LA is really useful.
But honestly if you want to understand each proof, that is not going to work, otherwise you would explicitly ignore some stuff, maybe I am wrong and gaps could/should be allowed ..
For people who have studied computer science I wanna ask how much physics is involved in computer science undegrad studies I feel anxious about my physics skills and I'm planning on putting myself through college to study computer science?
The normal term is 15-17 weeks. 12 weeks is short in my opin. 4 weeks is flippin' MENTAL ! I mean they're definitely gonna have some people going to the Ward f/ that class. I mean PTSD claim f/ Dept. of Edu tryin' to do LA in 4 weeks. Years of therapy. lmao! Why would a school even do that ! Somebody's got to call them out. That seems ridiculous.
No way he can do a Linear Algebra course at the University level, people want now quick paths, there are no quick paths in engineering/science, it takes a long time to make it
And when you take the course you can hopefully get as much tutoring as you possibly need, and bug your professor into madness, unless he or she doesn't mind; after all, that person is the one who agreed to teach it in just four weeks. 😄
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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 😂
I took a 3 hour linear algebra course on one Friday night in May 2022 from 7pm to 10 pm! 3blue1brown
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.
So true
vector spaces barely make sense to me lol
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.
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.
I was very interested in econometrics, so in my second year I switched from vs economics to bs mathematics and minor in statistics.😅.
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.
I loved Anton's Linear Algebra book. What did you find tough about it? Linear Algebra is a tough subject, much harder than differential equations in my option.
@@beophobic9653 Poole's starts with vectors, which I didn't find hard considering I had my fill of them in Physics, and then goes to linear equations and only then really into harder stuff about matrices.
I found that after a few pages Anton's goes the full length on matrices: square of matrices, matrix polynomials, with theorems and proofs, which is okay, except that's not what I was looking for in an 'Elementary....." book.
All of that probably good for a college course, but I didn't find it useful for initial self-study on linear algebra.
I have been on the same track, I love Anton's book, understood a lot, but vector spaces is where even he starts going to explanations presuming will understand immediately but i found it not so. Glad to see someone's on the same track
When I'm 77 I want to be like you. I self-study and I want to keep going as long as I have a mind for it.
@@kenfrank2730 I've been rearing to start on proofs, but I'm thinking it's better to finish calc-2 and do linear algebra first.
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.
True
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.
I feel the same way, I went to get ahead but want to enjoy my classes as well
If the class is the only class you are taking you can do it in 4 weeks.
@@rontiemens2553 hmm that is true, have you ever taking one over the summer and if so, how was the pacing?
@@ucouldtell3326 I took Calc III and DiffyQ in 3 1/2 week for each during June/July at my college. It was around 3 hours for class in the morning (8:30 am to noon with a break) and then around 3 hours of studying in the afternoon and 2 to 3 hours at night. Good times!
Good luck fella, i hope you achieve all your goals, its great to see people that dare to dream, its inspiring.
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.
" 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"
One could say then that it indeed takes that much to learn, because once you grasp the basics, you can build upon them and improve. Similarly to drawing, then you are just perfecting the craft, creating more and more complex images.
With enough background you can learn anything. I've taken a few proof based courses and several other math courses before going into linear algebra and it was very easy to get ahold of the concepts.
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
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.
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!
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!
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!
Go for it! Sounds like a great goal. Enjoy! You can do it.
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.
He does have a linear algebra course in his Udemy platform, I believe.
Same
Back when I was younger and studying math I took a 4 week summer course in calculus. I worked hard and got a high grade but to this day I don’t feel confident about calculus. It could work out fine for you though if, after the linear algebra course is over, you make yourself do lots and lots - maybe hundreds - of problems. Like anything else in math you don’t really understand it until you done a huge amount of problems.
This is true, but is it helpful to really know the class after its over? I didnt know linear algebra was applicable to engineers
@@mudasirjan06 It is if you happen to love mathematics. 🤪 And if you’re not going to use calculus, why are you taking the class? It’s the most important things to know if you’re going to work in the STEM world. Calculus gave us the world as we know it.
@@21ruevictorhugo linear algebra is not cLculus
You can learn the computation maybe in 4 weeks, but learning the other things, aside from geometry, you will keep learning new things about linear algebra like the connections to exponential matrices etc. So, I don't speak for everyone, but I think some of us keep coming back to linear algebra to cement concepts and learn from other perspectives and learn new concepts that just all seem to click. There are many applications in other subjects like economics and physics with their own set of estimators that you won't learn all that linear algebra has to offer in a basic course. Like projecting a matrix onto a y vector into a 2d subspace of x variables in statistics, among other concepts.
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.
I'm still learning linear algebra, but now I've moved on multilinear algebra. Just like Math Sorcerer says, there's always more to learn. I got an A in my linear algebra class about 7 years ago, but I don't think I really understood things like the Spectral Theorem or the Singular Value Decomposition, etc., until maybe 3 years ago, when I went back through several proofs and worked many more problems and made up a bunch of examples.
I need to do this. I was required to take a "math methods for physicists" course last semester, but we only spent 2 weeks on linear algebra. Now, I'm taking quantum mechanics, our final is in 4 weeks, and our professor assumes that we are all confident with linear algebra. A lot of my classmates were smart and took an additional, optional, linear algebra course in the past. I feel behind, but I am determined to self-study this material.
I would say that he shouldn't. But that's only because I can't do it.
My baseline concern is how much of the subject will Robbie retain of his studies? And Linear Algebra is a key topic for more advanced courses. Good luck, and tread lightly.
I definitely think he should 100% try. It's an opportunity for him to test himself. Regardless of what happens, he'll be bettering his learning capabilites.
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
Linear algebra has been my favorite math subject so far in an EE curriculum. Linear Algebra and It's Applications by Lay is quite nice.
With no other academic obligations, the summer course should be doable.
I’m taking linear algebra in 8 weeks this summer. Not quite as hard as 4 weeks but it’ll be tough
With "Linear Algebra Done Right" it can be done for sure. But the material is presented in a non-standard way even though I think it is the most logical way to present Linear Algebra. Another alternative would be "Linear Algebra Done Wrong" as it is a nice compromise between the more standard texts and "Linear Algebra Done Right"
From my experience, knowledge takes time to mature; with 4 weeks you (student) may be able to prepare and pass the exam (even with excellent success marks) however reason for this is:
1.) courses usually follow just one book and if you adopt that single way of looking at things you might likely perform well
2.) in 4 weeks you can push a lot of knowledge in some sort of short memory, or maybe not a short memory, but you can gain some immature "untested" knowledge which vanish quickly afterwards if you don't cross it with other views on things, read another book and give yourself a room to think about implications, what ifs, finding your own examples and counterexamples for things etc.
However, exact decision might still be to take it, just to "master it" will very likely require a lot of follow-up work after those 4 weeks.
Nice videos, by the way:)
Yes that's a summer course, four days a week for four weeks. I've taken physics 2 (E&M) as a summer course. It was hard but not unreasonable - the issue is the density of the material. You can't blink. It's a sprint. If this is the only class that guy is taking and he devotes his free time to homework and studying, then it's totally reasonable.
Hello everyone, I'm a software engineer and doing my master's now in this major. I finished linear algebra in 1 month, and from my experience it is difficult to be a master of linear algebra but still you can understand problems and solve them with the knowledge that you have learned in 4 weeks. You should definitely go for it. Good luck 🍀
I got the book, an old 6th edition. Wow the applications chapter 11 is worth is alone! Really interesting and useful stuff!
Linear Algebra of all the math classes came the fastest to me, I loved it an was naturally good at it...unlike calculus which i had to work at to get As. Even still though 4 weeks is not enough time, at least for me it wouldn't be.
I honestly think a four-week intensive course could be a good way to get into linear algebra, it’s also a subject with a wide array of uses, so even though the course would be fast paced, the basic concepts should be reinforced with later coursework.
I just went 99% through DC Circuits with a Pre-Req. claimed and then for the final I can't do the LA stuff. Now I've had DC at the CC level and cleared it w/ 4.0. I wanted a review. Now I have wait until I complete LA. No big deal. But I did check the Pre=Req. before I bought the course.
Like I say sometimes school is more of a chess game at the higher levels.
Best !
4 weeks, that's roughly 20 days of maths, not counting holidays.
My guess is there will be a class plus a lab every day, for around 4-5 hours.
Plus the self-study and self-practice, and the graded paper / homework.
Intense, but doable.
Best of luck to you !! I hope you succeed :)
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!!
A big challenge but extremely inspiring. Let them also watch the lessons from Aviv Censor here on you tube.
@rypetit As a student if I were to take your course, having Zoom office hours several times a week, day and evening sessions, I would find to be extremely helpful. Having live online review sessions or per-recorded review sessions would also be very helpful. Have you considered giving graded or ungraded quizzes on Blackboard?
If you don’t have a job or family, you no life the class and self study ahead of time I think it’s hard but doable. If you have a job and/or family it could be doable but I think your grade, mental health and physical health will probably suffer. Either way I don’t necessarily think it’s the best way to learn the material. A lot can be said about spaced repetition and digesting the material.
Then again, it is nice to have only one thing to put your focus into everyday. If you have trouble balancing your studies for multiple classes or you anticipate you’ll have a chaotic schedule, accelerated courses might be better for you. College is pretty fast paced no matter what you do, if you want to graduate in a timely manner. So pick your poison.
My advice would be to supplement / review the lin algebra course with the excellent (and often humourous) lectures by Gilbert Strang which are all online. His books are excellent as well btw. I also have the Anton book, and it is also fabulous.
I think with high motivation, learning the basics of linear algebra in 4 weeks is entirely possible. For example, follow Gilbert Strang's video lectures and do as many exercises as you can, 4 weeks is more than enough to establish a bridge head in the subject.
That being said, I think it is also important to avoid the "once and forever" mindset. Don't set unrealistic goals (such as mastering linear algebra in 4 weeks). Linear algebra is a vast and deep subject with incredibly broad applications. So it takes time and thus patience to internalize the definitions and theorems. Good luck!
Actually right know I'm preparing for an admission exam and I'm making a super intensive math review. My plan is to review Linear Algebra topics in exactly 4 weeks. I have 2 good books, Lang's - Linear Algebra and Axler's - Linear Algebra Done Right. My advice is to write a detailed study plan.
Practice tests is greater than self study. So you want to combine both and interleaving the problems instead of block practice which is unfortunately how math books are written. Also use a pamadoro technique or take a 10 minute nap ( not a cell phone break) for every hour. This helps 10x your learning in terms of neuroplasticity. Basically it helps with those difficult problems. Good luck.
It boils down to be a matter of expectation management - what you expect from learning LA in 4 weeks. The level of satisfaction would likely to be inversely related.
You can "learn" anything over any time period you want. The real question is what you mean by master. One of the most instructive sources on this topic is the book/website/videos by Scott Young on Ultra Learning. He studied the entire MIT BS Computer Science curriculum in one year. That's four years worth of work compressed into one year. He watched the video lectures. Took all the final exams. He posted all of his results on-line. While he did well in some courses, in a number of them his grades were in the 60-79% range. So had he graduated with those grades he would have been considered a mediocre student at best.. did he really master the material?Then again, he did it for very little cost and in a vastly shorter period. He did say he was spending 8 hours a day studying for a big chunk of that time.
I'm not saying don't go for it. Just manage your expectations.
From what I can tell the best thing ya learn in school is some kind of stress management.
I've had people, lacking formal degrees flip out on me in Companies 'cause they were so stressed by the Company. Or whatever their problem was.
And not to brag but I'm not the best person to be flippin' out on. Though I do have alot of self restraint and long temperament. Think on consequences before I act.
I have a short backround in Security, Infantry, Body Building and MA.
In addition to being a Drafter and Physics student.
Are you taking a four-week linear algebra course during the summer as a prerequisite for a course that you want to take in the fall semester? Does your school only offer a four-week course in linear algebra? I offer the following suggestion: There are community colleges and universities that offer 8-week and 12-week linear algebra courses, some are taught online, that you could take and transfer back to your university.
I am taking Calculus 3 and Differential Equations this summer!
Sheesh good luck bro
the man is clearly high on math
peace and love and thanks for your content
There's is a book in Korea with title "Finishing Linear Algebra in 8 days" So it's definitely possible
Regarding linear algebra in four (4) weeks...yes a head start is a good move! Find a place of your choice to study. I'm believing that your confidence will increase!
I admire his learning habits, but I have to say that watch out for the burnout effect, learning is a lifetime thing, don't push yourself too hard, otherwise you will get lost in self doubt
I think its okay to self study and to take a crash course in math before you are required to take the same math for a degree. I see it as a rehearsal for when the math is going matter in terms of grades. I do alright self studying in algebra and Calculus without trigonometry, but I do wonder if I would I do as well in a actual math class. I worry about failing an actual math class that's required for what I'm want to do. But I think I'd regret a lot more not trying. I just do the best I can. Just do the best you can and what you think is best for you.
Mr. Ravi I Think that you should solve Problems even after Completing your Linear Algebra's Course. All The Best.
Personally, I took an ODE class in 4 weeks while in another country. I don't recommend it for Diff-eq 1. Linear algebra maybe.. If your prof is still talking about gaussian jordan elimination after week 4, you're definitely wasting your linear algebra requirement in a 4 week course where you don't even get to eigenvalues and eigenvectors. My prof sat on gaussian jordan elimination problems forever, and then in 2-5 minutes explained eigenvalues/eigenvectors because they're important to engineering and statistics. I had to spend some time teaching myself that so I could understand some statistics and diff-eq 2 where we began solving linear systems.
Moral of the story, don't skimp out on linear algebra. Or at least make sure you hone your linear algebra. It's a very important subject.
Math is not about speed it's all about logic and comprehension which lead to the understanding of the mastering.....🎉😮😮😊😊😊😊😊
Time management will be the make or break.
@douglasstrother6584
I strongly agree. Additionally, I think it's really depends on what textbook the class is using. If the book is an introduction to linear algebra for science and engineering majors mainly involving calculations, I would say yes. If the book is more for math majors including some proofs and theory, I think waiting until the fall semester would probably be a better idea.
Book tip: "A Mind For Numbers: How to Excel at Math and Science" by Barbara Oakley. Or take the course "Learning How to Learn" on Coursera, which Oakley co-teaches.
The book and the course are also useful for people who are already good at maths, and even for people who are learning things that have nothing to do with maths or sciences, e.g. foreign languages.
Enough of me though what you really want to be solid in what you learn in LA because it's Applied in several fields down the road especially electronics. Mech. too not sure where. But ya got to be able to form those equations f/ whatever. I can't speak on the Mech side but circuits yes or at least in coursework.
I don't suspect it's too often you have multiple power sources in Real World Design.
Maybe he won't be able to do it and will have to take the subject again, but repetition is good for memory anyways. I'd definitely go for it unless I was really worried about a program GPA minimum or something.
It’s not a difficult class. Know the key concepts and basics before you take it. So Self study is the key. You’ll be fine.
In four weeks he will be able to do elementary row operations and gaussian elimination and that's it.
Just a recommendation, you should show your computer/phone screen (with a screen recorder) when reading emails.
That is about right. You just need to expand your mind.
Can you make a linear algebra course? That's the one glaring area I see you are not covering in your course collection
Hello Math Sorcerer
After Completing Discrete Math Book can I start Proof Writing book without studing Algebra and Trignometry. And is Proof Book by Daniel J Velleman Good proof book to start for beginner ?
Yes and yes:)
i tried to rush hoffman and kunze's and ended up going to the doctor because there was something wrong with my neck due to stress lmao, take it easy
Dude, you cannot self study this one - you need to free your mind and drop right into it. Pretend you’re in a coffeehouse and your friend is giving you a summary.
The hardest part will be getting to that Zen-like mind state. This is a high level overview. Get ready to learn how to work on the fly.
If 6 week courses are the fastest by your standards then I might actually be a genius in math. I distinctly remember also having only 4 weeks for linear algebra and wasted 2 of those, but then I went 100% with sleepless nights and aced it. I don't think that is healthy 😅. It is possible through if you ask me
Amazing!! Please, do the same for real analysis! How to study it in, let's say, 6 weeks?
I'm curious about why you said studying in the morning is best. Is it? Or does it vary by person? I am not a morning person, so I do much of my studying very late at night. Sometimes I dream about it, which I suspect might be helping.
If you really grind on it, you can get the basics down pretty good, but a lot of the cool stuff isn't going to sink in in that time frame. You'll probably pass though. They probably aren't setting unrealistic standards in the class.
I graduated high school in 1987 and never got past basic math. I just want to learn how car audio amplifiers work, and linear algebra pops up on the screen.
I tried to get in calc 3 summer class but everything in it is full :(
Hi, can you reccomend a good book to practice eigenvectors,matrices, geometric transformations etc.
Please do the same for Probability and Statistics too.
I don't do summer classes normally. I think ya need time to soak up the details. It depends on the persons backround. Sometimes school is more like a game of chess. Here what I would do. Try to pull through but if you can't blow the final so it put your grade where you can retake it at a normal pace. Everybody is in such a hurry . . . I just don't see why. Or you could switch to audit if allowed or if your close ask if you can have a letter grade and finish later. Sometimes for some circumstances you'll be given up 1 yr. to complete and then test.
Now this may help. MS Copilot (AI) can do most problems. Chat GPT as well. If you get stuck.
Generally speaking, I think you made a bad choice by trying to take a min. 3 qtr class in 4 weeks and should've known better.
I had a Spanish class that during a summer blew my GPA cum. as the Instructor doubled I & II together for a summer. We given an option to bail but I had had it in HS and thought I could hang and I found out.
It really depends on the person. LA is really useful.
Can't resist posting this Dad joke: "Did you hear about the math book that got a therapist? It had a lot of problems." -- I know, I know.
But honestly if you want to understand each proof, that is not going to work, otherwise you would explicitly ignore some stuff, maybe I am wrong and gaps could/should be allowed ..
Idunno if It is posible man, but my exam is in about a month, so I hope so hahahhh
What is a good book for practice questions of Multivariable Calculus? I'm using Thomas Calculus right now but want to increase my repertoire
Can you guide How do grow interest and teach my 8 year old daughter.
Best regards
hey man you can give linear algebra done right a shot
For people who have studied computer science
I wanna ask how much physics is involved in computer science undegrad studies
I feel anxious about my physics skills and I'm planning on putting myself through college to study computer science?
the real question is can i learn linear algebra in 4 hours before my final
Are they covering all the material for a first course in linear algebra, or are they going to cut some out. Four weeks is pretty short.
any book recommendations for elementary linear algebra (for absolute beginners) in pdf format???
Gilbert Strangs MIT opencourseware and books.
That's toooooo fast. Math needs a "digestion" period.
Can I master high trigonometry in 4 weeks?
it's really a good book
The normal term is 15-17 weeks. 12 weeks is short in my opin. 4 weeks is flippin' MENTAL !
I mean they're definitely gonna have some people going to the Ward f/ that class.
I mean PTSD claim f/ Dept. of Edu tryin' to do LA in 4 weeks. Years of therapy. lmao!
Why would a school even do that ! Somebody's got to call them out. That seems ridiculous.
❤❤
It is impossible to study LA in 4 weeks. You can acquire only basic knowledge.
No way he can do a Linear Algebra course at the University level, people want now quick paths, there are no quick paths in engineering/science, it takes a long time to make it
This is possible. I learned it in this time.
Nice
And when you take the course you can hopefully get as much tutoring as you possibly need, and bug your professor into madness, unless he or she doesn't mind; after all, that person is the one who agreed to teach it in just four weeks. 😄
Just do it.
i have one week
4 weeks is just a review session to get an A grade. With no background in 4 weeks most people will be lucky to get a C.
Where was this course when i had to retake Linear Algebra 😭
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