Calculus

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We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. I have, for the past decade primarily been teaching some variation of Calculus 1 or Pre-Calculus, so I am rather decent with those subjects.

A series of four diagnostic tests begins the text, covering algebra, analytic geometry, functions, and trigonometry. D. Watson co-authored the best-selling Precalculus: Mathematics for Calculus with Stewart and Redlin. It's one of the finest introductory Calculus books ever written and it is no secret that this is considered the gold standard for a students' first experience with the wonders of Calculus.

Clegg co-authored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years. Stewart's examples stand out because they are not just models for problem solving or a means of demonstrating techniques--they also encourage readers to develp an analytic view of the subject. The most fundamental reason this text was a success for me was the increasing difficulty and explanation of example problems after the introduction of a new topic.

Calculus by Spivak is certainly a classic Real Analysis book, his problem sets can get quite maddening, but if you can figure them out you will have a wonderful time in that book. Hear from James Stewart’s hand-picked successors, Professors Saleem Watson and Dan Clegg, as they explain their mentorship under Stewart – and how their collective experience ensures the quality of Stewart Calculus will live on. I would not recommend jumping to Principles of Mathematical Analysis by Rudin right away, at least not without an expert to help walk you through it. His explanations make ideas come alive, and his problems challenge, to reveal the beauty of calculus.This is true in all dimensions, hence the several variables version is that if the linear derivative, as a function of several variables, or the matrix of partials, is invertible at a, then so is the original function near a. One of the complaints one of my colleagues had about the text was that the problem sets in Stewart were too easy, so that was one of the major justifications for using Thomas, despite the exposition being sub par in my opinion. You are not going to like reading it like you'd like reading Spivak's Calculus book, which is more like a tutorial not just reference manual and I gave it one star lesser than I have given to Spivak's book.