Math Refresher for College Prep: Tips & Resources

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SUMMARY

The forum discussion focuses on preparing for college-level mathematics, emphasizing the importance of a solid foundation in algebra and trigonometry before tackling calculus. Participants recommend K.A. Stroud's "Engineering Mathematics" as an excellent self-study resource, highlighting its programmed text format that aids learning. Additional resources include online platforms like Purplemath for algebra and Clark University's trigonometry review. The consensus is that proficiency in algebra and trigonometry is crucial for success in calculus.

PREREQUISITES
  • Strong understanding of algebra, including factoring and solving equations.
  • Proficiency in trigonometry, including knowledge of trigonometric functions and reference triangles.
  • Familiarity with calculus concepts, particularly limits and derivatives.
  • Access to self-study resources such as K.A. Stroud's "Engineering Mathematics."
NEXT STEPS
  • Study K.A. Stroud's "Engineering Mathematics" for a structured approach to math concepts.
  • Utilize Purplemath for comprehensive algebra tutorials and problem-solving techniques.
  • Review trigonometry using resources from Clark University to solidify understanding of functions and identities.
  • Watch calculus preparation videos from Princeton University Press to familiarize yourself with key calculus concepts.
USEFUL FOR

Students preparing for college-level mathematics, particularly those transitioning from high school to college, and anyone seeking to strengthen their algebra and trigonometry skills before studying calculus.

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 \sin(5\pi/6).

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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