Questions tagged [self-learning]
Questions about how someone learns on their his or her own, outside of traditional classroom environments.
120
questions
0
votes
0answers
48 views
Weekly Problem Sets for Lang's Undergraduate Algebra and Undergraduate Analysis [closed]
For Lang's Undergraduate Algebra and Undergraduate Analysis, I cannot find any weekly problem sets online. I've found that doing every problem in every section takes far too long, and without problem ...
1
vote
1answer
75 views
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 ...
2
votes
2answers
163 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, ...
1
vote
2answers
104 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 ...
3
votes
1answer
138 views
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 ...
7
votes
3answers
874 views
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 ...
1
vote
0answers
77 views
Would the SMSG textbooks provide adequate extracurricular study?
Context: I'm a Grade 11 IBDP student and very fond of math. Assuming that I get the spare time to self-study material alongside the syllabus, I wish to spend it constructively (the only step I've ...
9
votes
2answers
485 views
Fear of notation and hazily-appeared writing in Mathematics
I am looking for literature related to fear of notation in mathematics.
It is even heard that the font size and font type make a reader reluctant to study mathematical literature, often lecture notes,...
5
votes
2answers
129 views
Introductory book or other resource on $p$-adic numbers/number theory/analysis
I am having problems understanding $p$-adic numbers/$p$-adic number theory/$p$-adic analysis. I have tried some notes on the internet, but these notes were not helpful.
Can anyone suggest a book, ...
18
votes
7answers
6k views
How do I learn advanced mathematics without forgetting?
I am pursuing mathematics through distance education and I find that it takes me a long time to understand the concepts (e.g. sigma fields, measure theory, connected topological spaces, etc.).
After I ...
1
vote
2answers
125 views
What are the resources to learn prerequisite knowledge to latter High school and undergrad prep textbooks?
I use textbook study and am planning on studying Spivak's Calculus, Mathematics It's Content, Methods, and Meaning, How to Prove it by Velleman, etc. However, I'm worried I lack the prerequisite ...
2
votes
2answers
218 views
Future way of learning mathematics (towards graduate level)
Recently, there is an idea sparkling out from my mind due to the COVID-19 outbreak. In the past, we typically attend a course, complete homework and assignment, then finish the semester with a final ...
3
votes
1answer
113 views
Refreshing math knowledge
How do I refresh advanced math I learned at a graduate level?
I once was able to do the full solution of a particle in a parabolic well and other advanced math, however 20 years later I'm struggling ...
6
votes
3answers
370 views
Looking for a HIERARCHY of math subjects
If you were to "map" mathematics onto a tree structure where the top is "Mathematics", and then below it the different branches, then sub-branches, etc.
What do you suggest is a good structure, for ...
3
votes
1answer
230 views
Is there a 'statistics theory' course plan for practitioners?
My job is starting to have me delve into categories that require things like regression analyses on data sets, essentially I'm being introduced to "Data Science" type material. Coming from a ...
5
votes
3answers
182 views
Can you ace one branch of math, while bumbling another branch? [closed]
This r/math post spurred this question. To concretize the meaning of "ace", assume
success means earning professorial tenure at a Top 100 world university.
your liked stronger branch doesn't exactly ...
20
votes
5answers
2k views
What does it take to find a good math book for self study?
I'm 20 and I never learned math properly in my highschool. I found my interest in math last year and I've been searching for books since then.
I tried Khan academy but I have difficulty paying ...
6
votes
4answers
2k views
What will my academic path look like after testing out of high school math classes?
I am currently a 15-year-old in the 9th grade, and I am studying to test out all of my high school math classes, which is something I didn't realize I could do in the 8th grade and would have if I had....
5
votes
2answers
611 views
Textbooks for an independent study in point-set topology
I am planning to sign up for an undergraduate "course" in point-set topology next semester. It is really an "independent study" in that this course will not have any lectures. It will just have two ...
-1
votes
1answer
107 views
How to start tackling a 200 page big script? [closed]
I am really not sure how to tackle a 200 page huge script with a lot of information about the topic linear algebra. Writing down the definitions would not make sense in my opinion, because if I want ...
3
votes
1answer
103 views
Mental/“Paper and Pencil” Arithmetic
Recently, I was watching this video and I began thinking about how much my arithmetic skills have declined in recent years due to over reliance of calculators in upper year (high school) math courses. ...
3
votes
1answer
136 views
Best resources for probability/statistics textbooks
I'm looking for a good textbook introduction to probability/statistics that a first/second year undergrad math student could use! I'd like a book that emphasizes theory over procedure. I'd prefer an ...
9
votes
5answers
411 views
About the effectiveness of self-studying maths (compared with other subjects)
An important feature of mathematics is that it is relatively easy (compare to many other subjects) to know whether or not one's understanding is correct. There are plenty of ways to check: one can ...
2
votes
0answers
82 views
Is There Book on Collection of Theorems? [closed]
For example, there is a book titled "Synopsis of Elementary Results in Pure and Applied Mathematics: Containing Propositions, Formulae, And Methods Of Analysis, With Abridged Demonstrations" (...
1
vote
2answers
118 views
How do I assimilate mathematical concept?
Already knowing that the famous quotation "there is no royal road to mathematics", I believe that the most efficient and best way to learn mathematics is to make it intuitive to oneself, at least to ...
1
vote
0answers
61 views
How can I make a shift to applied mathematics? [closed]
I have done dual degree with bachelors in computer science. I am currently a software developer (India).
I always have had interest in mathematics. But once was I got into college I did not work ...
5
votes
4answers
258 views
What math courses should I take in order to become a secondary math educator?
Seeing as this is the math educator site, perhaps someone can help me out:
I am looking to become a math teacher, but I am having a hard time figuring out which math courses I need to be taking. ...
16
votes
7answers
6k views
Lack of intuition, retention while self studying
I am a first year undergraduate student, currently in second semester.
So basically I learnt most of the first year stuff in high school, so I have a lot of free time in this year (currently in ...
5
votes
1answer
186 views
Misdirected, Side-Tracked, and Distorted Ramanujan: Problems in Basic Math Education?
I read that-
“The tragedy of Ramanujan was not that he died young, but that his
genius was misdirected, side-tracked, and to a certain extent :
distorted.
The years between 18 and 25 are ...
6
votes
2answers
265 views
Redesigning college math courses and curriculum to be self-paced
I imagine there must exist a fair amount of literature and discussion about the idea of somehow redesigning college math courses, and the entire college math curriculum, to be self-paced.
Question: ...
3
votes
3answers
186 views
What kind of problem do you learn most from (hard problems or easy problems)?
I am curious if you guys learn more from Hard problems, or do you learn more from easy problems.
I heard that you learn a lot more from doing harder problems, because you have to learn all of the ...
5
votes
2answers
224 views
Is there a rigrous and relatively complete book/lecture notes for selfstudying several variable calculus?
I would like to study university level mathematics on my own. I found rigorous books on single variable calculus and topology and learned those. But what would one recommend for several variable ...
2
votes
3answers
148 views
Self-Study of Calculus Two [closed]
I just finished self study of Calculus One and I am looking to begin Calculus Two. Is there a free platform that can help me with this?
5
votes
2answers
140 views
Forming a Study Model for a Self-Study Beginner
I am very new to this platform so I may have misunderstood the intent of this site, or might seem a bit off, but please bear with me because I know what I want for certain.
I always wanted to study ...
4
votes
4answers
652 views
Best Way to Learn Trigonometry
What are the best resources to learn trigometry? I recently decided to pursue a BS in mathematics at uni. I used to fail all my math classes with D's or F's until I started teaching myself, and so far ...
11
votes
2answers
330 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'...
8
votes
1answer
238 views
How to study for university level math olympiads and competitions?
I participated in some high-school-level math competitions, but I never invested much of my time in them at that time, something that I regret immensely.
Now that I am an engineering grad student, I ...
3
votes
2answers
245 views
Selected Exercise for Linear Algebra Done Right Edition 3 [closed]
I am self learning the book Linear Algebra Done Right. I tried to complete all exercises in each chapter. I am currently at Chapter 3 and found that it is not feasible to complete all of the exercises....
-2
votes
1answer
147 views
Could students be taught the concept of rational numbers the same way as in the Formal construction section of the Wikipedia article rational number?
Link to article cited in title, Wikipedia rational number.
According to this answer, some students 14-18 are still struggling to understand fractions. Maybe some students know how to perform the ...
7
votes
5answers
3k views
Is Linear Algebra Done Right too much for a beginner?
I have asked in Mathematics stackexchange, but I think asking here is more appropriate.
I am self studying the book Linear Algebra Done Right by Axler. That's how I started using the great Stack ...
4
votes
0answers
201 views
According to Nathan Jacobson, what is Intermediate Algebra and Advanced Algebra?
Nathan Jacobson's Basic Algebra I, II covers many topics in Algebra that is probably even beyond many pure mathematics full professor's scope of knowledge, unless the professor is specialised in ...
1
vote
1answer
181 views
When self teaching, should I learn set theory before continuing ap calculus?
I am studying ap calculus now, before I move onto differential equations etc., but the thing I am unsure of is, should I learn set theory before continuing on my ap calculus sections?
0
votes
2answers
110 views
Returning Student for STEM - Brush-Up Resources? [closed]
All,
I am hoping to wade into an Electrical Engineering or Mechanical Engineering degree, but I have been out of college for almost 10 years. My last major exposure to math was good grades in ...
3
votes
1answer
198 views
I want to learn how things function and continue my life work of learning
I am 37 years old and I have a mild learning difficulty. I never went to a special school, but yes, I got some help and I never got held back. I left my grades on borderline. I always loved to learn ...
7
votes
1answer
2k views
Curriculum for self taught Maths degree
Someone has made this template for a self taught CS degree. I am a CS grad and found it quite good. As I don't have much idea about a proper pathway to learn degree level mathematics in my own. Please ...
3
votes
2answers
420 views
Why are proofs written in flowery language incomprehensible?
Let's take an example in Wu-Ki Tung, Group theory in physics:
Theorem 3.4: Irreducible representations of any abelian group must be of dimension one.
Proof: Let $U(G)$ be an irreducible ...
6
votes
0answers
157 views
Learning math historically
What is meant by learning math historically (NOT learning math history only, but learning math with a historical development perspective)? I've seen some sources that to learn a math topic X, you need ...
4
votes
1answer
123 views
How can students self-learn creativity in math that “demand more than just deduction”? [closed]
From: Philip Johnson-Laird BA PhD Psychology (UCL), Stuart Professor of Psychology Emeritus at Princeton. (Author isn't a logician.) How We Reason (1st edn 2008). p. 112.
You might ...
4
votes
1answer
428 views
How to become really interested in math [closed]
I'm a high school senior. What can I do to be really interested in mathematics ? I know some of my batch-mates (from meeting them at several math Olympiads) are like insanely good at math (know lots ...
2
votes
5answers
507 views
Can I succeed in university math, if I loathe physics?
I hope never to study physics. Can I still ace undergraduate and PhD math?
Or ought I major in something else?
Background
I finish high school in 2019, and I'm mulling majoring in math/statistics. I'm ...
