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Questions tagged [self-learning]

Questions about how someone learns on their his or her own, outside of traditional classroom environments.

2 votes
2 answers
1k views

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 ...
42 votes
6 answers
3k views

Effects of early study of advanced books

Context: There was recently a question on Math.SE: Inferior to Other Younger and Brighter Kids which starts as follows: I'm a high school student (Junior/Grade 11) and I'm currently studying ...
4 votes
4 answers
504 views

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 ...
2 votes
1 answer
217 views

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 ...
5 votes
2 answers
454 views

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 ...
-4 votes
1 answer
108 views

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 ...
5 votes
2 answers
511 views

Self Teaching Theory for Olympiad. Need advice

(Cross-posted in MSE 1301476.) I want to start to do Olympiad type questions but have absolutely no knowledge on how to solve these apart from my school curriculum. I'm 16 but know maths up to the 18 ...
3 votes
3 answers
275 views

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 ...
8 votes
5 answers
3k views

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'...
11 votes
4 answers
630 views

How to stay interested in less-tangible math

I've graduated high school and I am joining college soon. The problem with me is that I'm not finding less tangible math interesting at all. Some people find abstract math to be very beautiful, and I'...
15 votes
2 answers
1k views

Why are hand waving arguments made in textbooks of undergraduate analysis and how should readers deal with them?

Having read several undergraduate textbooks in complex analysis (Stein-Shakarchi, Gamelin, etc.), I find that some "hand-waving" arguments are frequently used. An example (the proof of the ...
-1 votes
1 answer
241 views

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 ...
2 votes
1 answer
188 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-...
-2 votes
1 answer
125 views

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 ...
4 votes
1 answer
97 views

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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