What should I study after algebra?

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    Algebra Study
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Discussion Overview

The discussion centers on what mathematical topics to study after completing an introductory algebra course, particularly in preparation for college-level mathematics. Participants explore various pathways including algebra, geometry, trigonometry, and precalculus.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant suggests continuing with algebra by studying more advanced algebra or intermediate algebra after completing the current book.
  • Another participant proposes studying trigonometry and rates of change as potential next steps.
  • Some participants mention that geometry could also be a suitable next topic, depending on individual interests.
  • There is a suggestion that precalculus, which may include both advanced algebra and trigonometry, is necessary for college readiness.
  • One participant outlines a potential sequence of courses: college algebra, trigonometry, precalculus, calculus, differential equations, linear algebra, and advanced topics for engineering.
  • Another participant emphasizes the importance of intermediate algebra or geometry as a follow-up to introductory algebra, noting their relevance to future studies in sciences.
  • Euclidean geometry is mentioned as a specific area to consider studying next.

Areas of Agreement / Disagreement

Participants express a variety of opinions on the best next steps, with no consensus on a single path. Some advocate for intermediate algebra, while others suggest geometry or trigonometry, indicating multiple competing views on the appropriate progression.

Contextual Notes

Participants express uncertainty about the specific level of algebra being studied, with some assuming it is intermediate algebra based on the content covered. There is also a lack of clarity regarding the prerequisites for college-level mathematics and how different courses might interrelate.

Who May Find This Useful

Individuals preparing for college mathematics, particularly those transitioning from introductory algebra to higher-level math courses.

Holocene
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So far I'm about halfway through an algebra book. The last two chapters are quadratic equations and quadratic applications.

What shoud I study next? Stick with algebra, and get a book on more "advanced" algebra?

Basically, I need to educate myself up through a pre-calculus level, due to plans of enrolling in college next fall.

Thanks a lot.
 
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trig? rates of change?
 
Holocene said:
So far I'm about halfway through an algebra book. The last two chapters are quadratic equations and quadratic applications.

What shoud I study next? Stick with algebra, and get a book on more "advanced" algebra?

Basically, I need to educate myself up through a pre-calculus level, due to plans of enrolling in college next fall.

Thanks a lot.

We could assume that you are currently studying Intermediate Algebra, since you are studying quadratic equations halfway through the book. If you were studying Introductory Algebra, then you would most likely deal with quadratic equations near the end of the book.

What comes next could be Geometry (which you may also do much later depending on your interests), then Trigonometry, and then PreCalculus (which College Algebra and Trigonometry). You might wonder if you should do your trigonometry study as part of PreCalculus; It is up to you as long as you are studying on your own. Many PreCalculus courses are a combination of this more advanced algebra with much of the same Trigonometry which you would study in a dedicated Trigonometry course. You need it one way or the other or both ways, but you really will need it.

What is your goal with Mathematics?
 
symbolipoint said:
We could assume that you are currently studying Intermediate Algebra, since you are studying quadratic equations halfway through the book. If you were studying Introductory Algebra, then you would most likely deal with quadratic equations near the end of the book.

What comes next could be Geometry (which you may also do much later depending on your interests), then Trigonometry, and then PreCalculus (which College Algebra and Trigonometry). You might wonder if you should do your trigonometry study as part of PreCalculus; It is up to you as long as you are studying on your own. Many PreCalculus courses are a combination of this more advanced algebra with much of the same Trigonometry which you would study in a dedicated Trigonometry course. You need it one way or the other or both ways, but you really will need it.

What is your goal with Mathematics?

Actually, this is introductory algebra, the very last two chapters of the book deal with quadratic equations.

So, I should probably get a "college algebra" book after I complete this one?

As far as my goal, I need to do well in college. Thinking of possibly attempting an engineering degree.

Right now, I just need to get my math up to an appropriate level to start college.

Thanks.
 
college algebra>trig+pre cal>calc+differential equations+linear algebra>pdes+fourier analysis if you want to be EE
 
ice109 said:
college algebra>trig+pre cal>calc+differential equations+linear algebra>pdes+fourier analysis if you want to be EE

Thanks.
 
Holocene,
I may have confused you. I did not mean to do so.

Your next course should be either INTERMEDIATE ALGEBRA, or Geometry. Both are good courses to study and either can naturally follow after your Introductory course of Algebra. My advice is to pick the intermediate course of Algebra when you are finished with your introductory level study; you will find a large portion of the intermediate level useful throughout much of what you might study in the sciences.
 
symbolipoint said:
Holocene,
I may have confused you. I did not mean to do so.

Your next course should be either INTERMEDIATE ALGEBRA, or Geometry. Both are good courses to study and either can naturally follow after your Introductory course of Algebra. My advice is to pick the intermediate course of Algebra when you are finished with your introductory level study; you will find a large portion of the intermediate level useful throughout much of what you might study in the sciences.

Great advise. Thanks.
 
try euclidean geometry.
 

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