This manual allows students to use Derive as an investigative tool to explore the concepts behind calculus. Each chapter begins with worked examples, followed by exercises and exploration and discovery problems which encourage students to investigate ideas on their own or in groups.

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the 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.

A two-disc cd set of ALL Don's materials, includes:1. book: "Calculus By And For Young People (Ages 7, yes 7 and up)"2. book: "Calculus By And For Young People - Worksheets"3. "A Map To Calculus" - 15x18inch poster-map, overview4. Video#1: "Infinite Series By And For 6-Year-Olds And Up"5. Video #2: "Iteration To Infinite Sequences With 6- to 11-Year Olds"6. book: "Changing Shapes With Matrices"7. "On Thinking About And Doing Mathematics" - 11x14 inch posterThese discs need Adobe Reader - link included and Windows Media Player - link included.

Students can use the computer-algebra and graphing capabilities of Derive in the study of calculus and linear algebra. With the help of this tutorial, users can begin to use the enormous symbolic, numeric, and graphical power of Derive to experiment with graphical representations of functions and gain visual insight into abstract mathematical problems.