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

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A user is preparing to apply for graduate schools and recognizes the need for a strong foundation in calculus and physics, having previously succeeded in undergraduate studies without a deep understanding of mathematics. They possess several key textbooks, including Spivak Calculus and University Physics, but have identified gaps in their algebra skills, which are crucial for progressing in these subjects. The discussion emphasizes the importance of mastering advanced algebra and trigonometry, along with analytic geometry, before tackling calculus. The user is pursuing a master's in Physical Oceanography, which requires a more theoretical understanding of the subject, indicating the necessity of a solid mathematical background to succeed in graduate-level studies.
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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.
 
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