Self study math for other discipline graduate

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Self-studying mathematics to a level equivalent to a BSc is possible but requires consistent effort and self-discipline. The advantages of campus study include structured learning, accountability through assignments and exams, and opportunities for discussion with peers and instructors, which can be challenging to replicate in self-study. A suggested approach for self-study involves starting with foundational topics such as trigonometric identities, differentiation, integration techniques, and limits. For those interested in applied mathematics, understanding pure mathematics can enhance comprehension, as concepts from pure math often find applications in fields like theoretical physics. A commitment of around two hours daily for study, along with regular revision, is deemed sufficient for effective learning.
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i am medical doctor who wants to self [URL='https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/']study mathematics[/URL] , the last mathematics course i took was 6 years ago at the pre-medical college .. worth mentioning that i am from a country where the educational system is different from USA

at high school i studied algebra , calculus , trigonometry , analytical geometry equivalent to SAT level .. and some calculus in college , as long time has elapsed i know i will need to refresh my basic mathematics before proceeding further ..

My questions are :
1- is it possible to Effectively self [URL='https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/']study mathematics[/URL] to a level equivalent to a BSc math ?

2- what are the fundamental advantages of Campus study that i will be missing ? is it possible to compensate for them by another way ? How ?

3- what would be the most appropriate sequence of topics/courses to self study ?

4- How many hours a day on average do a BSc student need to study mathematics ( i mean revising and homework exercises, not lectures .. etc )

replies are Much appreciated
 
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amatphyspash said:
i am medical doctor who wants to self [URL='https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/']study mathematics[/URL] , the last mathematics course i took was 6 years ago at the pre-medical college .. worth mentioning that i am from a country where the educational system is different from USA

at high school i studied algebra , calculus , trigonometry , analytical geometry equivalent to SAT level .. and some calculus in college , as long time has elapsed i know i will need to refresh my basic mathematics before proceeding further ..

My questions are :
1- is it possible to Effectively self [URL='https://www.physicsforums.com/insights/self-study-basic-high-school-mathematics/']study mathematics[/URL] to a level equivalent to a BSc math ?

Yes, but it will be very difficult, it will take a consistent effort, and it will require a lot of self-disciple.
amatphyspash said:
2- what are the fundamental advantages of Campus study that i will be missing ?

Taking courses forces one to do the work, and to make consistent progress. The routine and pressure of lectures, assignments, tests, and exams forces a student to move forward through the material. Also, discussion with fellow students and instructors can be invaluable.
 
Exactly, it's all about self-control. In educational institutions, you HAVE to do a lot of work, there is no option. If you won't you'll fail. This kind of self-control and imposition is quite difficult especially for a person who has to devote a lot of time in other preofession. But as they say, slow and steady wins the race! :)

You can make it with continuous effort, even if not too much at a time.

3- what would be the most appropriate sequence of topics/courses to self study ?

4- How many hours a day on average do a BSc student need to study mathematics ( i mean revising and homework exercises, not lectures .. etc )

Basically it would depend whether you are interested in pure maths or applied. Further, your personal fields of interest would also matter. In case you need to revise your college Math, you should start from basics like Trigonometric identities and their formulas, Differentiation and integration techniques, Equations of lines and tangents, parabolas, hyperbolas, ellipses etc., Limits and Continuity. It would be good if you get some introductory college level text on pure maths or Calculus.

I think even 2 hours daily would be quite sufficient if you do that continuously. On holiday, revise the week's work. :D
 
thanks for the valuable advice George Jones & Peon666

you HAVE to do a lot of work
is it taught in way different from that of high school ? more specifically : the theory , proof , examples then follows lots of exercises ?

Basically it would depend whether you are interested in pure maths or applied
i am interested in applied mathematics .. so far .
will pure mathematics affect my understanding of applied mathematics ? or rather after certain level applied and pure will be completely divergent pathways ..
the following question may seem stupid:shy: but :is it possible ( ordid it happen before)that aspects of pure mathematics will have ( or had ) applications in research areas like theoretical physics for example ?

I think even 2 hours daily would be quite sufficient if you do that continuously. On holiday, revise the week's work. :D

this is GOOD news .. i used to study about an average of 6 hours/day in the medical school
it was most of the time painful cos you have to remember Huge pieces of information without Logical sequence or arrangement .. i hope studying maths will be easier , at least it was so in the in the high school ..

thanks
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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