What to do after algebra? For entry into college

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Discussion Overview

The discussion centers on the mathematical preparation needed for entering college-level physics or aerospace engineering programs. Participants explore the necessary math skills and courses that would facilitate a smoother transition into these fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a goal of pursuing physics or aerospace engineering and seeks guidance on the math required for college.
  • Another participant suggests that knowledge of calculus and possibly linear algebra is necessary, but emphasizes that these can be learned in college.
  • It is proposed that starting with precalculus, which includes trigonometry and function analysis, would be beneficial for entering introductory courses.
  • A participant highlights the importance of calculus, specifically differentiation and integration, as essential for the intended fields.
  • There is a question about whether geometry should also be learned, with mixed responses regarding its necessity.
  • Some participants indicate that while geometry may not be critical, a basic understanding is generally assumed in physics and math courses.
  • One participant mentions relearning geometry after a long time and acknowledges the assumption that algebra precedes geometry in learning sequences.
  • Another participant advises focusing on the basics of geometry while prioritizing trigonometry and precalculus for future studies.

Areas of Agreement / Disagreement

Participants generally agree on the importance of calculus and precalculus for entering college programs in physics or aerospace engineering. However, there is disagreement regarding the necessity of geometry, with some advocating for its importance while others downplay its relevance.

Contextual Notes

Some participants note that the discussion is dependent on individual educational backgrounds and may vary based on specific college requirements. There are also unresolved questions about the sequencing of math courses and the foundational knowledge needed for success in college-level physics and engineering.

Tyrion101
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My goal is either to go for physics, or areospace engineering. I'm currently learning enough to get me into a college class, but I'd at least like a basic understanding of what the math I'll be dealing with when I begin classes, so any ideas?
 
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It depends where you want to start out in physics or engineering. To finish college, you'll need to know calculus and maybe a little bit of linear algebra depending on what you decide to do. But this is all stuff that you can learn while in college.

You could probably go into college with nothing more than algebra, but it'll delay you from taking introductory physics courses. I would try to start up on precalculus stuff, which is basically Trigonometry and what my school calls function analysis. If you go into college knowing all of precalculus you'll be able to jump into beginning physics and engineering classes and by the time you're done with those you can have taken calculus and be able to move to the more challenging stuff.
 
Probably calculus (differentiation and integration)would be your best bet.

Will you be doing any maths courses as well as physics/aerospace engineering?
 
I don't know what's required for either yet, I'm still just learning math, so I assume I likely will, what else would be reccomended?
 
You need to learn calculus in either of the fields you are planning on entering. A solid foundations in Algebra and Trigonometry is need to begin learning calc. If you haven't done any trig then that should be next. Typically they have classes called precalculus that are generally a combination of algebra and trig.
 
Would geometry be worth learning as well?
 
Tyrion101 said:
Would geometry be worth learning as well?

I'm surprised you weren't taught geometry before algebra. I guess its not really needed, but you might be embarrassed at some point without knowledge of geometry: it'll be assumed everyone knows basic geometry in any physics or math course.
 
Thanks, I may have had geometry in the past, but I am relearning it all after a long time of disuse. I am teaching myself the basic stuff, I just assumed algebra came first. Oh well Live and learn.
 
A lot of geometry isn't needed at all for later stuff, so I would just worry about the basics, past that you should be fine. Trig and the rest of precalc is what I would focus on.
 

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