How can I efficiently refresh my knowledge of geometry and algebra?

  • Thread starter Thread starter madah12
  • Start date Start date
AI Thread Summary
To efficiently refresh knowledge of geometry and algebra, engaging in tutoring or helping younger students is highly recommended, as teaching reinforces learning. Utilizing online resources and textbooks to practice problems is essential for regaining confidence in these subjects. Many participants emphasize that previous math education is not wasted, as foundational knowledge can be rebuilt. Recommendations for rigorous textbooks are sought to aid in this review process. Overall, a combination of teaching, self-study, and practice is the most effective approach to relearning these mathematical concepts.
madah12
Messages
326
Reaction score
1
Hello I am in first year college and I forgot most of the geometry / trigonometry and some algebra I remember calculus related trig ,algebra and calculus itself of course . I am looking for an efficient method to remember geometry mostly and some of the algebra I forgot I mean I couldn't help my young friends do their homework because I forgot most of the basics anyone had this experience? I think if I can't remember them then my 12 years in math were useless so I am using online resources but I am also looking for good sets of books which cover all mathematics covered from middle grade to high school especially geometry. Any ideas or other suggestions?
 
Physics news on Phys.org
From my experience, the best thing I could recommend is continuing to try and help your 'younger friends' or volunteer to tutor younger people in math. 'The best way to learn is to teach.' These things will come back to you.

Besides that (and maybe before doing that) just pick up textbooks and do problems until you feel comfortable with it again.

Having taught math to both people who learned it and forgot it, and to people who never learned it--trust me, there is a big difference, it was not all to waste.
 
zhermes said:
From my experience, the best thing I could recommend is continuing to try and help your 'younger friends' or volunteer to tutor younger people in math. 'The best way to learn is to teach.' These things will come back to you.

Besides that (and maybe before doing that) just pick up textbooks and do problems until you feel comfortable with it again.

Having taught math to both people who learned it and forgot it, and to people who never learned it--trust me, there is a big difference, it was not all to waste.

Can you recommend a good textbook for me that is rigorous ?
 
zhermes said:
The best way to learn is to teach.

One of the main reasons why I help with homework :smile:
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
Essentially I just have this problem that I'm stuck on, on a sheet about complex numbers: Show that, for ##|r|<1,## $$1+r\cos(x)+r^2\cos(2x)+r^3\cos(3x)...=\frac{1-r\cos(x)}{1-2r\cos(x)+r^2}$$ My first thought was to express it as a geometric series, where the real part of the sum of the series would be the series you see above: $$1+re^{ix}+r^2e^{2ix}+r^3e^{3ix}...$$ The sum of this series is just: $$\frac{(re^{ix})^n-1}{re^{ix} - 1}$$ I'm having some trouble trying to figure out what to...
Back
Top