Systems of Equations: What's your favorite way to solve them?

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Discussion Overview

The discussion revolves around the various methods for solving systems of equations, particularly in the context of preparing for college-level Calculus and Physics courses. Participants share their preferences, experiences, and the relevance of these methods in advanced studies.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants express a desire for guidance on which methods to prioritize when solving systems of equations for Calculus and Physics.
  • One participant mentions using the Matlab "solve" command as a preferred method.
  • Another participant notes that while many linear systems can be solved by hand using methods like Cramer's Rule, larger systems typically require computational tools due to the complexity of calculations.
  • There is a suggestion that systems of equations may not be heavily featured in early college courses, with more emphasis placed on them in advanced courses, particularly in physics and engineering.
  • One participant argues that systems do appear in introductory courses, citing examples such as two-dimensional collisions and optimization problems in Calculus.
  • Concerns are raised about the reliance on graphing calculators, with some participants stating they are often not allowed in college math classes and that students will be taught to solve problems by hand or using software like MATLAB.
  • Another participant shares their experience of allowing the use of calculators as long as students demonstrate their understanding of the setup for solving systems.

Areas of Agreement / Disagreement

The discussion reflects a mix of agreement and disagreement regarding the prevalence and importance of systems of equations in early college courses. While some participants believe that systems are not emphasized until later, others provide counterexamples indicating their relevance in introductory courses.

Contextual Notes

Participants express varying experiences based on different educational institutions, highlighting that the approach to teaching systems of equations may differ significantly. There are also mentions of specific tools and methods that may be preferred or discouraged in different contexts.

  • #31
micromass said:
Do yourself a favour, and try not to use calculators or computers anymore while (self-)studying.

You think this will make me better at math seriously? Not being sarcastic.
 
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  • #32
Yes.
 
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  • #33
micromass said:
Yes.

Could you direct me towards a course of action or maybe some study plan to prepare myself for precalculus?
 
  • #34
micromass said:
Do yourself a favour, and try not to use calculators or computers anymore while (self-)studying.
I find calculators take a lot of the pleasure out of doing math.
 
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