Reddit mentions of Precalculus: A Prelude to Calculus

I took a trigonometry class at a CC. It was two weeks of material stretched out to a full semester.

In six weeks you should be able to learn all the trigonometry you'll ever need, with plenty of time left over.

If you want to raise the bar a little higher, I suggest you get a hold of [Axler's Precalculus] (http://www.amazon.com/gp/offer-listing/0470416742/ref=dp_olp_used?ie=UTF8&condition=used). It's a very well-written book that teaches all the information you'll need to be successful in calculus, including trigonometry.

If you're bright at math it should be possible to master both these topics in six weeks, assuming that you can put adequate time in daily. These subjects, as they are taught in high school or early college courses, are very mechanical. You just need to drill, drill, drill the hell out of them until they are second nature.

I can't give anything but a rough answer from someone who is learning, that being said;

Geometry introduces many things that are used throughout algebra, precalc and
calc. Trig etc is initially entirely geometric and having an understanding of
the geometry is going to make understanding these things much easier. Geometry
also introduces the notions of variables and unknowns which are used extensively
in algebra. Geometry does so in a very visual way, which may help bridge the gap
to the abstractions of algebra and more.

Algebra (intro, rather than abstract or whatever) takes these unknowns from
geometry, arithmetic identities and such and generalises them to entire ranges
of numbers rather than fixed values.

Precalc is a weird one because essentially its just a bunch of algebra, trig and
geometry but at a level which should lead into calc. I'm not sure that it would
be correct to say that Geometric series is a precalc thing rather than just
saying it's algebra.

> How do I remember these now that I reviewing all of these 3 content to prepare
> for Calculus 1?

er well idk, how do you usually remember things? I would say a better approach
would be to work through problems and review concepts of them.

Here's an example that uses geometry, algebra and calculus together
http://hubpages.com/education/Why-Is-Derivative-SinX-Equal-CosX , maybe that's
interesting idk.

A book that I haven't worked through yet but flicking through would be happy to
recommend is Axlers precalc (i've bought it myself)
https://www.amazon.co.uk/Precalculus-Prelude-Calculus-Sheldon-Axler/dp/0470416742

prof Leonard only does from calc afaik.

If you want a book suggestion for Precalc I would recommend this

https://www.amazon.com/Precalculus-Prelude-Calculus-Sheldon-Axler/dp/0470416742

That really depends on you, but my high school taught them as a single one-year course (if you were on the accelerated track), so doing it in a year should be possible with enough motivation on your part. It will of course be easier if you take a lighter courseload. Maybe take a study hall period and use it to work on math. (In my experience, though, study hall was a hard place to get anything done because other students just went there to screw around.)

A lot of people studying at that level use Khan Academy. It's supposed to be pretty good. Other people can probably suggest other online resources.

As for books, Algebra 2 and Precalculus are often taught out of the same book. Books that are titled "precalculus" usually include a section on limits that you might not need to cover (ask about this) because it's part of Calculus I.

You can get free textbooks here:

• https://openstax.org/details/algebra-and-trigonometry
  
• http://www.stitz-zeager.com/
  
  These are some suggested dead tree books:
  
  
• Axler, Precalculus (sorry, this used to be cheaper but it looks like the fall semester started and the students bought up all the cheap copies)
  
• Foerster, Algebra and Trigonometry
  
  Or just see if your school will let you borrow a copy of the textbook that they use.
  
  Whatever you choose to use, I suggest that you use multiple resources to get some different points of view and a wider variety of problems to work on. This is especially important since you won't be going to class.