Making a Math Concept Map | Ex: Linear Independence
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- Опубліковано 18 чер 2018
- Making concept maps are incredibly important in learning mathematics, far better than just a long list of isolated examples. I look at a key concept in Linear Algebra - Linear Independence - and make my own little concept map about it. You can be creative when you make your own, this is just what popped into my head, but the point is to always be thinking about the connections between different ideas first and foremost.
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Now it's your turn:
1) Summarize the big idea of this video in your own words
2) Write down anything you are unsure about to think about later
3) What questions for the future do you have? Where are we going with this content?
4) Can you come up with your own sample test problem on this material? Solve it!
Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master math means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK.
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Done! Thank you a lot. You deserve more money than my professor!!!
LUL
Thanks so much! You're videos are super clear, quick, and understandable. You make my Linear Algebra class a lot of fun :)
I am amazed by the quality of the content and advice you are providing US with ! Thanks a lot ! Am trying to make videos as well in french for a north africain audience and mostly am always inspired by your enthousiasme and methods of bringin an idea closer to the audience !
@@DrTrefor Thank you very much ! And please sir, Keep on making videos :)
Thank you for making such a nice course! Here's a quick quiz for those who made it to this last video:
Which is Trefor's favorite matrix?
A. a matrix with all zeros
B. a diagonal matrix
C. a matrix with all ones
D. an anti-diagonal matrix
@@DrTrefor Oh you kniw what, no price for you. If you get the right answer, it means you are cheating because you have the answer key...lol
That's exactly what I wanted to find. I was looking for an explanation how to create Mind Maps for math and this video is what I wanted to find. Thank you!!!
YOU ARE THE BEST!
This video is 2 years back , but the past one was of 4 years back . But anyway that doesn't matter tho .
And as again you was wow !!! ❤️
This is wonderful
Great Good guys!
I loved this video so much!
I'm studying mechanical engineering and have been trying to improve the way I learn.
I am convinced mind maps/concept maps really are a great way to really understand something, but I feel it is hard to make a map from these concepts as sometimes it seems like it's just a bunch of formulas when the professor first puts it on the board.
This video made a great example of how to organize the thoughts.
I would still like to see how would do something like this for a subject more formula heavy, for example, how would be a concept map for Differential equations including the solving methods and possible solutions?
Anyway, I loved the content and will make sure to keep trying.
awesome!!
Thanks, I've been studying/taking notes in LA with hundreds of notecards lol. If I could make more of these simple concept maps it would probably help.
I really do think they can help!
Great video, nice looking concept map. Unfortunately went entirely over my head (I'm sure your target audience would get it fine though), which is kind of what lead me to this video (via a Google search). If I'm understanding you correctly the scenario you're dealing with here is a student is studying a new topic and is already familiar with the topics that the new topic builds on so builds a concept map to link the new knowledge to the existing knowledge.
The direction I'm coming at this from is it's been nigh on 30 years since I last did any formal mathematics course and since then the only maths (I'm British, we call it maths) I've really used is basic arithmetic, some simple stats and a mix of set and relational theory to write SQL (Structured Query Language) queries as a Database Administrator and SQL Developer. I'm also very much aware that I probably missed a few topics in secondary school due to changing schools when I was 14 as that's about when maths went from "I can do this" to "Has my maths teacher started speaking in tongues?" Now, because of previously being a SQL developer and that I know how to make graphs in Excel, I'm being asked to do Data Science. So I look up what I need to know for Data Science and there's a lot of maths terms I've vaguely heard but don't know much about so I try to find videos and books about them and discover that to understand those there's a load more topics I need to understand first and pretty soon my brain does an impression of a Blue Screen of Death and I feel like more of an idiot than usual. What I was looking for when I found your video was something that would tell me "If you want to learn this then you really need to first have a firm grasp of that and the other". What I've found so far seems to assume that you're already a maths graduate and assumes that you're already familiar with Hilbert Space and the Reimann Hypothesis, or links to a site called Math Atlas which hasn't been online for 6y years. Any suggestions on where to look? Please?
🔥🔥🔥
Please upload more visualization lecture about linear and abstract algebra
Thank you so much. Love from bangladesh.
What software do you use? tyvm
Superb video !!!!!!!!
Dear Trefor, Can we say if the two vectors are linearly independent then those must be perpendicular to each other. Is this true?? thanks a lot for the videos!!
That is not needed! Check out my linear algebra playlist for a full video on this:)
@@DrTrefor Thanks for the reply.
what program did you for this
@7:09, you said there are tow possible solution: either one solution or many solutions. you missed out the "no solution"?
What is the name of the app ?
Now you you switch back the notation of "a" and "x" again. This causes a great deal of confusion. Please be consistent with notations and stick with them. Thank you.
Great videos though. Thank you! 👍
Made me very upset!
Thank you so much