Apex Calculus 3.0

Abstract

This text is Part I of a three_text series on Calculus. This first part covers material taught in many "Calc 1" courses: limits, derivatives, and the basics of integration. The second text covers material often taught in "Calc 2:" integration and its applications, along with an introduction to sequences, series and Taylor Polynomials. The third text covers topics common in "Calc 3" or "multi-variable calc:" parametric equations, polar coordinates, vector_valued functions, and functions of more than one variable. All three are available for free at www.vmi.edu/APEX. These three texts are intended to work together and make one cohesive text, APEX Calculus, which can also be downloaded from the website.'

'A result of this spli_ng is that sometimes a concept is said to be explored in a "later section," though that section does not actually appear in this particular text. Downloading the .pdf of APEX Calculus will ensure that you have all the content. This spli_ing of the material also results in unfortunate page/chapter numberings. Chapter 5 of this text is Chapter 1 of Calculus II. Apart from these numberings, page_for_page the content of the sections that appear in both Calculus I and Calculus II are iden_cal.'