Questions tagged [self-learning]
Questions about how someone learns on their his or her own, outside of traditional classroom environments.
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Syllabus for the bs and ms in mathematical and theoritical statistics
I am a computer science undergrad who is very much interested in learning rigorous statistics both mathematically and the practical applications in real world.
I searched through online to find the ...
2
votes
1
answer
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How to grade a flipped class to improve participation and attendance
A flipped service course for me is an arrangement where videos are online and on-campus class time is used for problem solving by students. I usually have a homework due date the day after the ...
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2
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Overcoming Dyslexia and Building Intuition
I am 25 and have been studying mathematics on my own for several years, but I am still between the middle and high school levels.
My main weakness is my dyslexia. I sometimes forget words or confuse ...
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4
answers
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Why don't these 'solve in 2 sec' tricks work?
I am a med student and left maths in 10th class. Log and antilog and calculus etc are taught in 11th and 12th. Every time I have any exam that includes usage of these topics I go to Youtube and search ...
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1
answer
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Condense a logistic function around its midpoint [closed]
I have a function
$$
f(x) = {1 \over 1 + e^{-k(x-0.5)}}
$$
that plots a logistic curve that is symmetric around the point $0.5 / 0.5$.
$k$ defines the steepness of the curve.
I would now like to add ...
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votes
5
answers
3k
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Should I really just "shut up and calculate"? On learning at a good pace without sacrificing rigour
This question is about getting realistic expectations for how a university student actually does and should learn maths. I'm becoming increasingly suspicious that my approach is detrimental, but I don'...
- 478
2
votes
1
answer
192
views
Rediscovering euqation of line [closed]
I am studying (self learner) linear equations/equation of line and my idea is to discover the equations myself rather than try and understand ready-made equations available in text books. I am using X-...
- 387
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votes
2
answers
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Is Morris Kline's 'Calculus: An Intuitive and Physical Approach' a Good Book to Learn Calculus From?
Would I have to read a standard textbook in addition — i.e. Stewart, etc. — or would Kline's Calculus: an Intuitive and Physical Approach be sufficient? My interest is in applications: dynamical ...
- 21
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votes
3
answers
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Relearning math after long COVID using AoPS or developmental math textbooks?
This is a little bit of a niche topic.
I've dealt with a pretty bad dose of long COVID that has caused some serious gaps in my mathematics (basically causing terrible arithmetic skills and a really ...
- 369
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votes
1
answer
127
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On doing scientific research [closed]
What I want to ask is: can I use the results of others when doing scientific research, whether it is math, physics or other science, without trying to prove them myself or try to verify them? For ...
- 159
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1
answer
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Learning, exams, math degree
I have only passed the one fourth of my courses so far, which means like one year of the maths undergraduate studies. I live in a different place from where the university i study at is and try to ...
- 159
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votes
1
answer
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Research Into Self-Learning at Undergraduate Level and Above
My motivation for this question is personal. I'm a software engineer and I study mathematical logic as a hobby. Subjectively, it feels like I make the most progress after asking a question on the Math ...
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votes
3
answers
775
views
How can I internalize solutions/proofs to theorems and exercises?
In particular, my question is about abstract mathematics such as group theory, analysis, topology, etc. where most textbooks are filled with exercises which require proof, and how to go about ...
9
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3
answers
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How do you know when a textbook is too difficult for you?
Not sure if this is more appropriate for here or for Math.SE, but here goes:
How does one who is self-studying mathematics determine if a textbook is too hard for you?
Math is hard in general, but ...
9
votes
1
answer
383
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The Interleaving Effect: How widely is this used?
I came across the idea of mixed up practice in Benedict Carey's book, How We Learn, in a chapter on the benefits of interleaving, particularly for learning Maths.
For instance, in "blocked ...
- 155
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votes
1
answer
125
views
Problem solving and independent scientific research [closed]
Is analogy a way to solve problems when doing research in math and physics? Is it very important?How important is it? Could i do independent scientific research on some open problems perhaps having ...
- 159
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4
answers
527
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For students who don't have instant recall with basic arithmetic, should I be stubborn about training them to have instant recall before moving on?
I'm a maths tutor, and my students/tutees are aged $11 - 18.$
Obviously I have limited time with students, usually one hour per week. Moreover, if parents don't see improvement over a year or two they ...
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3
answers
862
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Walter Warwick Sawyer: How has reading his works changed your learning or teaching? [closed]
I recently worked my way through Walter Warwick Sawyer's book, Mathematician's Delight, which has opened my eyes to Maths. I used to fear maths, feeling I was incapable. Sawyer (among other authors) ...
- 155
3
votes
2
answers
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How to study for a mathematics undergraduate entrance examination?
TL;DR:
Tell me which topics should i study the most, based on this three tests:
Mathematics (A):
2020
2019
2018
This question may sound a bit weird, since the natural answer would be "study ...
- 39
3
votes
2
answers
307
views
How to understand the book and the material to the deepest possible level?
I'm a first year mathematics major and I have a problem with my learning process. In my university, I only have books and questions that the university published, so I have to learn the most of the ...
0
votes
1
answer
229
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Abstract math, examples and understanding or visualising
After reading some papers about special kinds of algebras and rings like Gorenstein rings, Dickson algebras, Cayley-Dickson construction, i want to ask do examples of general abstract objects in math ...
- 159
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votes
0
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99
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Problem solving approach to learning and psychology
I try to have a problem solving approach to learning math. What i mean by this is if someone sets some questions or problems regarding the material i am reading how should i answer or what questions ...
- 159
4
votes
2
answers
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How do you study subjects you're not that interested in
I'm an undergraduate who doesn't find analysis particularly interesting, but I'm taking a calculus on manifolds course next semester, so I'm reviewing measure and integration theory since my grasp on ...
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1
answer
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Math outside of undergraduate studies and proofs
I read sometimes mathematical works of others outside my undergraduate studies. I think i can not follow the understanding of the proofs of theorems sometimes. What should i do? Should i read other ...
- 159
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vote
1
answer
603
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Best books for mathematical statistics self-study?
I'm hoping to start a masters in mathematics in the fall, and am hoping to find a good book on mathematical statistics to study so that I'll be able to take graduate level mathematical statistics once ...
- 261
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votes
4
answers
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How long would it take someone to master the topics in the book "Book of Proof" by Hammack and similar?
If someone never had any experience with mathematical proofs and had only classes like Calc I-III (which he passed, without paying any attention to the proofs present in the textbooks), how long would ...
- 153
5
votes
4
answers
544
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Doctorate and examples of difficult solved problems
Okay. My questions are: How do some people do doctorates in mathematics and spend so much time like three to six years trying to answer one or two open problems? How do they have the patience, ...
- 159
2
votes
1
answer
371
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Solving math problems and learning
Should i solve math problems by writing the answers to papers or notebooks with pencils or should i try solving them in my head at undergraduate studies at university?
Also, sometimes after learning ...
- 159
2
votes
0
answers
101
views
How to make progress as an independent student?
In recent times, I have been studying mathematics (topics related to mathematical logic, more specifically) independently and I feel a great deal of passion about it. However, although I have made ...
- 121
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votes
6
answers
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Dealing with disagreeable students and not compromising
I act as a tutor sometimes for students who are self-studying undergraduate-level math. Most of the students have already earned an undergraduate degree in something and some of the students are PhDs ...
- 303
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votes
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answer
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Abstract math and making proofs
What is abstract math about? I think we can not visualise probably what we read. Or can we? I am talking about the theorems, definitions and proofs in areas of math like Riemannian geometry, ...
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vote
1
answer
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Analysis of math and its elements
Can anything in math ultimately be analysed into symbols, equations, formulas, with as exeption perhaps the Euclidean geometry we know with triangles,straight lines etc? Can also proofs, definitions ...
- 159
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answers
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Is Calculus Made Easy by Silvanus P. Thompson a good book for first-time calculus learners?
Specifically the one updated by Martin Gardner. I'm not studying as part of a high school or college course (I, in the near future, will though) just as a personal project.
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3
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Highly intuitive yet comprehensive and easily readable (student friendly) book on linear algebra which do not focus much on applications, just basics
I came to know about Gilbert Strang's two books, "Introduction to Linear Algebra" and "Linear Algebra and its Applications". The first is the one used as the text in the 18.06 ...
- 223
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votes
2
answers
687
views
Study multiple subjects at the same time or deep dive into one?
I want to learn probability theory and discrete math. However, I also need to brush up on computational calculus and linear algebra. Would you recommend only studying one subject at a more intense ...
- 71
2
votes
1
answer
243
views
An intuitive (non rigorous) text book on graph theory which is student friendly with vivid illustrations
Background
Hello, I am an undergraduate in CS. I would like to study Graph Theory on my own (self-study) for a competitive examination (named GATE). It is an examination for undergraduates and as such,...
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vote
2
answers
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Should I do all the proof practice problems in How to Prove It, an intro to proofs book?
Like the title says. I am self studying intro to proofs(How to prove it by velleman) so I can start an introduction to analysis. I am wondering if I should complete all the exercises in the textbook(...
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0
answers
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Is there any video lecture series on (UG level) graph theory (might not be specific on any books) but the video/content quality is like that of MIT?
Previously I had asked a question about something similar, but more constrained. But now I ask something more general. I just got hold of the Linear Algebra by Prof Gilbert of MIT and they are just ...
- 223
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0
answers
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Self study curriculum for a working professional who is enthusiastic about mathematics
I had some mathematics education during my high school and Electrical Engineering studies, but I never used any of them during my career as a software professional. Now I am again coming across Linear ...
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votes
2
answers
390
views
How to reduce tilting when going over drills?
Tilt originated as a poker term for a state of mental or emotional confusion or frustration in which a player adopts a less than optimal strategy, usually resulting in the player becoming over-...
5
votes
1
answer
824
views
Is there any video lecture series on Graph Theory which uses "Introduction to Graph Theory" by Douglas West? as the text
I am interested in learning graph theory, and from many resources I came to know that Douglas West's Introduction to Graph Theory is a good textbook. But since I am doing self-study, it is at times ...
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3
votes
1
answer
157
views
Self-study: how much should we try to figure out material on our own before studying from a textbook?
We can spend a lot of time thinking of material which we have basics for without ever studying the original ideas from a textbook, for example, once one has finished regular derivatives, it is pretty ...
1
vote
1
answer
301
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Mnemonics to correlate the definition of "asymmetric relation" and "antisymmetric relation" with the terms [closed]
The definitions from Kenneth Rosen textbook are as :
A relation $R$ on a set $A$ such that for all $a,b ∈ A$ ,if $(a,b) ∈ R$ and $(b,a) ∈ R$,then $a=b$ is called antisymmetric.
A relation $R$ on a ...
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votes
6
answers
2k
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Statistics, for the mathematically rigorous
I don't know where I can find a rigorous statistics course or textbook. The closest thing I can think of is measure-theoretic probability theory, but I wouldn't really call that "statistics"....
- 415
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votes
2
answers
472
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Looking for a rigorous middle school self-study math course
My son is in 5th grade (US) and since he is doing remote learning, we have been doing a lot of topics in pre-algebra just using worksheets. I'd like to start him on a formal middle school curriculum, ...
- 363
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vote
1
answer
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Questions relating to inclusion-exclusion principle [closed]
Today I came across the inclusion-exclusion principle for the first time. I believe I have understood it, however when I tried solving some questions on it, I got severely stuck. I couldn't solve any ...
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2
votes
2
answers
202
views
What should be the bare minimum wrong answer threshold when self studying a math text?
I'm currently self studying a Linear Algebra text book due to the fact that I forgot the vast majority of it since I took the course 10 years ago. My general strategy is to take every single example, ...
- 23
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vote
2
answers
279
views
Where can I find a good course on tensor calculus not focused on applications and physics?
Where can I find a good course on tensor/ricci calculus not focused on applications and physics?
I've been running into lots of tensor-theoretic stuff in differential geometry, so I don't know if ...
- 415
3
votes
1
answer
264
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Learning strategies for high volume/pace learning?
Background: I am a graduate student in a mid-tier U.S. university, and I am struggling. I feel like I during my undergrad, I haven't aquired the neccesary skills to keep up with the high volume/pace ...
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votes
3
answers
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How to structure undergraduate level private lessons?
I'm on a semester break and thankfully I was recently provided with an opportunity to hire any private teacher I like to learn even more math while on break. However, I don't really know how to ...
