How to relearn 1st year calculus?

  • Thread starter Thread starter tom2012
  • Start date Start date
  • Tags Tags
    Calculus Year
AI Thread Summary
To effectively relearn first-year calculus after a significant gap, it's essential to establish a clear benchmark for proficiency. Engaging with a comprehensive textbook, such as Stewart's Calculus, is a solid starting point, especially with access to a solution manual for self-checking. For a more rigorous understanding, exploring texts like Boas' Mathematical Methods or Apostol's Mathematical Analysis can be beneficial, depending on whether the focus is on practical methods or theoretical analysis. Utilizing online resources, such as Khan Academy, can help refresh foundational concepts quickly. Regularly solving problems and verifying solutions through resources like Wolfram Alpha or Mathematica is crucial for reinforcing understanding. Ultimately, being able to solve most exercises from advanced texts like Spivak or Apostol indicates a strong grasp of calculus, which is necessary for success in graduate-level mathematics.
tom2012
Messages
1
Reaction score
0
How to relearn 1st year calculus??

I need to relearn the year of calculus that i took almost 5 years ago. I want to do this on my own if this is practical. I definitely have the discipline to sit down and spend the time doing this, but I really need to know at what point i can say, "OK, I now know 1st year calculus no problem"
I noticed there are zillions of calc books out there but I need some sort of benchmark for myself.. Should i be looking at an exam, or just the problems in back of book or what?
Im enrolling as math grad, so its assumed I am going to be proficient with calc.. (i have stewarts calculus textbook and full solution manual)
thanks for any help or ideas or advice
 
Physics news on Phys.org


By calculus to you mean 'methody' calculus or 'analysisy' calculus?

For methody I'd say Boas' Mathematical Methods book
For analysisy I'd say Apostols Mathematical Analysis book
.. surely someone enrolling as a math grad should remember first year calculus :o

If first year calculus is just basic integrating powers of x and taking derivatives of powers of x then you could probably get that brushed up in a week at khanacademy

Really I'd say that you should do problems and check with the back of the book or make up problems and verify via wolfram alpha or mathematica or something.

Unless you're talking about some first year graduate maths I don't know about in which case forget everything I just said as I don't know!
 


A math graduate students should be able to do better than Stewart.
Just get Spivak and Apostol. If you can solve most of the exercises, then you know calculus.
 
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...
Back
Top