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

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SUMMARY

The discussion centers on the preferred methods for solving systems of equations in the context of college-level Calculus and Physics. Participants emphasize that while methods like Cramer's Rule are useful for small systems, larger systems typically require computational tools such as MATLAB. The consensus is that systems of equations become increasingly relevant in advanced courses, particularly in Physics and Engineering, where analytical solutions may be impractical. Additionally, graphing calculators like the TI-84 are often discouraged in favor of scientific calculators like the TI-36x Pro for efficiency in calculations.

PREREQUISITES
  • Understanding of Cramer's Rule for solving 2x2 and 3x3 systems
  • Familiarity with MATLAB for computational solutions
  • Basic knowledge of matrix algebra and its applications
  • Experience with optimization problems in calculus
NEXT STEPS
  • Research the MATLAB "solve" command for solving systems of equations
  • Learn about matrix algebra and its applications in scientific modeling
  • Explore optimization techniques in calculus, including Lagrange multipliers
  • Study numerical methods for solving differential equations in physics
USEFUL FOR

Students pursuing degrees in science or engineering, particularly those interested in mastering systems of equations for advanced coursework in Calculus and Physics.

  • #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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