Math Refresher for College Prep: Tips & Resources

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Discussion Overview

The discussion revolves around resources and strategies for refreshing mathematical knowledge in preparation for college, particularly focusing on algebra, trigonometry, and calculus. Participants share recommendations for books and online resources to aid in self-study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a need for math resources to understand physics concepts better before starting college.
  • Another participant suggests a specific website as a resource for theoretical physics.
  • Questions are raised about the participant's previous math experience and the level of math they have completed.
  • A participant emphasizes the importance of having a strong foundation in algebra and geometry before tackling calculus.
  • A recommendation is made for K.A. Stroud's "Engineering Mathematics" as a suitable self-study text, highlighting its structured approach with test questions.
  • Another participant stresses the necessity of proficiency in algebra and trigonometry, detailing specific skills that are crucial for success in calculus.
  • Links to online resources for algebra and trigonometry reviews are provided, along with suggestions for obtaining textbooks at low cost.

Areas of Agreement / Disagreement

Participants generally agree on the importance of mastering algebra and trigonometry as foundational skills for calculus. However, there are varying opinions on the best approach to prepare for college math, with some advocating for a focus on calculus while others emphasize reviewing earlier math topics.

Contextual Notes

Some participants mention specific skills and topics within algebra and trigonometry that are essential for calculus, but there is no consensus on the exact resources or methods that will be most effective for everyone.

Who May Find This Useful

Students preparing for college who need to refresh their math skills, particularly those transitioning from high school to college-level physics and mathematics.

ZeroDauto
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Hello everyone, I just realized that I can understand the concepts of physics just find, but I need a refresher in the math before I start college in January. So I was wonder if anyone has any web references or books that I could use to get up to speed before I start college.
 
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ZeroDauto said:
Hello everyone, I just realized that I can understand the concepts of physics just find, but I need a refresher in the math before I start college in January. So I was wonder if anyone has any web references or books that I could use to get up to speed before I start college.

Is this going to be your first semester? What's the highest level of math you've had?
 
n!kofeyn said:
Is this going to be your first semester? What's the highest level of math you've had?

I started college last year as a history major but then I dropped out, so this would technically be my first semester. I've taken algebra, I think algebra 2, geometry, and applied math. But I will need a refresher on those as well.
 
You need to learn calculus. As such, you should make sure your algebra and geometry are quite strong. Really, I would say getting a head start on learning calculus would be more fruitful than reviewing this stuff though.
 
The best maths preparation I have seen which is suitable for self-study is K.A. Stroud's book "Engineering Mathematics" which is called a 'programmed' text because all the lessons are arranged with test questions and loopback instructions for wrong answers. It would not be difficult to find even casual assistance from a tutor, working from this text.
 
I see thanks, so I'll find some books or online resources on trigonometry and calculus to start with. I appreciate the advice!
 


I second the notion that you should be proficient with algebra, as well as trigonometry. You should be able to factor things out like noboby's business (quadratics, difference of two squares), simplify things (multiplying by conjugates to help simplify expressions with square roots, common denominators), solving for variables, properties of exponents, ln properties, functions (and their inverses, domains, rangle), graphing, etc. For trigonometry, you should understand reference triangles, the two special triangles, all the trigonometric functions and their inverses, and being able to compute something like [itex]\sin(5\pi/6)[/itex].

These things above are why so many students have trouble with calculus. Almost every time somebody asks me a question, the problem is almost always centered around an algebra step, not calculus.
 
  • #10
Thanks, much appreciation.
 

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