Step-by-step guide to mastering calculus from little/no maths knowledge

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SUMMARY

The discussion centers on the necessity of mastering calculus for graduate school applications, particularly in fields like physics and physical oceanography. The user has identified essential resources such as "Spivak Calculus" and "University Calculus" by Hass, Weir, and Thomas, but recognizes a gap in foundational algebra skills. Recommendations include strengthening advanced algebra and trigonometry knowledge, as well as familiarity with analytic geometry, to effectively progress towards calculus comprehension.

PREREQUISITES
  • Advanced algebra proficiency
  • Trigonometry knowledge
  • Analytic geometry understanding
  • Familiarity with precalculus concepts
NEXT STEPS
  • Study "Elementary Algebra" to reinforce foundational skills
  • Review "Advanced Algebra" concepts for deeper understanding
  • Explore "Trigonometry" resources to build necessary skills
  • Practice problems from "Spitzbart and Bardell" for analytic geometry
USEFUL FOR

Students preparing for graduate studies in physics or related fields, individuals seeking to strengthen their mathematics foundation, and self-learners aiming to master calculus from a basic level.

MathsLearner
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Hello everyone,

I am starting to apply for grad schools and its become painfully apparent to me that I will require a strong knowledge of calculus. I did well at undergraduate without having to understand maths, only having to apply it in computer programs and in calculations. What I have found I now need is a strong maths knowledge where I will be prepared for higher level study and where I can derive equations etc. I also need to learn physics!

I have:

Spivak Calculus
University Calculus (Hass, Weir, Thomas)
University Physics (Sears and Zemanskys)

I started the first chapter of Spivak and realize my algebra is not good enough ( I can't really remember much maths from high school)

So before I can even use these books ill need to know the basics- what do I need?! ( i am going to self teach myself using books/internet etc).

Do I need precalculus, and is elementary algebra part of this? Could someone please give me the progression of subjects I should start at and go through to get to Calculus?

Thank you!
 
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You should have a solid knowledge of advanced algebra and trig (a text that I like, although it's been out of print for years is Spitzbart and Bardell - the problems are excellent) and it will help to have some facility with analytic geometry.

What are you trying to go to graduate school in? If it's physics, you'll still be very far behind even with all that.
 
A masters in Physical Oceanography; my undergraduate degree was in Ocean science, but focussed more on observational oceanography and I learned more about computer programming etc, whilst a masters will be much more in depth on theoretical physical oceanography and statistics etc...
 

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