When should I start reviewing Calculus while reviewing Algebra?

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Discussion Overview

The discussion revolves around the timing of reviewing Calculus while concurrently reviewing Algebra. Participants explore the relationship between mastery of Algebra and the ability to tackle Calculus concepts, considering personal experiences and different approaches to learning.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a desire to know when to start reviewing Calculus while working through Algebra exercises, questioning whether to complete the entire Algebra textbook first.
  • Another suggests focusing on the most difficult exercises in Algebra, implying that these may provide better preparation for Calculus.
  • Some participants argue that the necessity of Algebra depends on the specific topics in Calculus being studied, such as whether they involve higher-dimensional systems or basic function evaluations.
  • One participant shares their experience of improving their Algebra skills through the challenges posed by Calculus problems, indicating that practical application can enhance understanding.
  • Another participant mentions their background in Physics and the need to work through all exercises to rebuild their mathematical foundation after a long break from formal study.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the optimal timing for transitioning from Algebra to Calculus review. There are multiple competing views regarding the relationship between the two subjects and the necessity of mastering Algebra before engaging with Calculus.

Contextual Notes

Participants reference different types of Algebra and Calculus, indicating that the specific content being studied may influence the need for proficiency in Algebra. There is also mention of personal learning paths and experiences that may not apply universally.

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Hi,

I'm an amateur so please bear with my question. I'm reviewing Algebra, patienly answering every exercise in the my textbook. I enjoy answering the exercises but sometimes I get impatient especially when the questions look the same and are less of a challenge. I've read somewhere that in order to get better at Calculus, I'd have to master my Algebra, so that's exactly what I'm doing. What I'd like to know is at what point in (my) Algebra (review) can I begin reviewing Calculus. Is it a good idea or should I put of my Calculus review until I finish the whole Algebra textbook?

Thanks in advance!
 
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Since you've actually already learned this stuff, have you considered only doing the most difficult exercices? Those are usually the last in the series as you've probably noticed.
 
depends on what algebra and what calculus you are learning...

if you are dealing with 1-D,2-D,3-D or unary/binary/ternary functions, or 1-dependent variable 2-dependent variable functions for root finding, function evaluation, integration,interpolation,differentiation,extrema..
you should have no real need for algebra.

If your doing higher dimensional systems(Linear systems of N equations, then linear algebra is needed, or if your studying vector calculus).
 
I never got good at algebra (which is arguable - how about somewhat proficient) until taking calculus. I found doing the calculus problems required me to consult my algebra book to be like, "oh, that's why I need to know that". To me, algebra just requires practice. Just do as many challenging problems as possible. The challenging problems will require you to know the really basic stuff in order to do them. Until I got decent at algebra I never really understood math... it all seemed like magic :smile:
 
quasar987 said:
Since you've actually already learned this stuff, have you considered only doing the most difficult exercices? Those are usually the last in the series as you've probably noticed.

Well yes I have. But I've been out of shape (mathematically speaking) since I got my undergrad in Physics more than 6 years ago because I took a programming job since. There's no concrete way for me to gauge my math skills unless I work on each and every exercise after every chapter in the text. So that's exactly what I'm doing. I'd like to build a solid foundation.
 
neurocomp2003 said:
depends on what algebra and what calculus you are learning...

if you are dealing with 1-D,2-D,3-D or unary/binary/ternary functions, or 1-dependent variable 2-dependent variable functions for root finding, function evaluation, integration,interpolation,differentiation,extrema..
you should have no real need for algebra.

If your doing higher dimensional systems(Linear systems of N equations, then linear algebra is needed, or if your studying vector calculus).

Precalculus Algebra and Differential and Integral Calculus. I'm starting with the basics following my course flow chart during college.
 

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