# Calculus Books, Documents, and Lectures

Title | Year | Description |

Advanced Calculus, Revised Edition | 1990 | This book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |

Calculus | 1991 | This book is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. |

Calculus I | A complete, concise, and well put together set of notes for a Calculus I course. | |

Calculus II | A complete, concise, and well put together set of notes for a Calculus II course. | |

Calculus III | A complete, concise, and well put together set of notes for a Calculus III course. | |

Calculus Without Limits | 2005 | This text is a calculus primer. This book is shorter than the typical calculus book in that it only covers those ideas that are central to an understanding of the calculus of a real-valued function of a single real-variable. |

Calculus on the Web | Calculus on the Web is an internet utility for learning and practicing calculus. The principal purpose is to provide the opportunity to learn and practice problems in calculus in a friendly environment via the internet. | |

Differential Equations | 2006 | This is a complete online course (MIT OpenCourseWare) on Differential Equations. |

First-Year Calculus | 2006 | Lecture notes for a first year calculus course compiled over 25 years. |

Many Variable Advanced Calculus | 2007 | This book is directed to people who have a good understanding of the concepts of one variable calculus including the notions of limit of a sequence and completeness of R. It develops multivariable advanced calculus. |

Multivariable Calculus | 1997 | This is a textbook for a course in multivariable calculus. It has been used for the past few years at Georgia Tech. |

Notes on Differential Equations | 2005 | These are introductory notes on ordinary and partial differential equations. Assumed background is calculus and a little physics. Linear algebra is not assumed, and is introduced here in four of the lectures. |

One Variable Advanced Calculus | 2007 | This is text places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work. |

Stochastic Calculus | An informal introduction to Stochastic Calculus, especially to the Ito integral and some of its applications. | |

The Calculus Bible | 2010 | A study aide for high school students who have completed the Advanced Placement AB Calculus curriculum. |

The Calculus Bible: The New Testament | 2010 | A review guide to the AP BC Calculus exam |

Topics in Calculus | These notes present some ideas which the author believes that almost everyone who uses the integral as a tool takes for granted, but which are often not taught systematically and which seem to be very difficult for many students to learn. | |

Vector Calculus | 2008 | This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. |

Visual Calculus | 2001 | A collection of tutorials, interactive modules (LiveMath, Java, and Javascript) which can be used by either students or faculty and includes detailed instructions for TI-85 and TI-86 graphing calculators. |

Yet Another Calculus Text - A Short Introduction with Infinitesimals | An introduction to calculus based on the hyperreal number system. Intended for readers who already have some familiarity with calculus. |