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Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation.
An Introduction to Calculus By Dan Sloughter, Furman University Chapter 1: Sequences, limits, and difference equations Calculus: Areas and tangents Java applet: Area of a circle
The writing of textbooks and making them freely available on the web is an idea whose time has arrived. Most college mathematics textbooks attempt to be all things to all people and, as a result, are much too big and expensive. This perhaps made some sense when these books were rather expensive to produce and distribute--but this time has passed. Professor Jim Herod and I have written Multivariable Calculus ,a book which we and a few others have used here at Georgia Tech for two years.
This textbook and Internet resource provides introductory information, concept or skill development in Mathematics for grade 9, 10, 11, and 12 students who are at grade level in a single student situation. Brief Description CK-12’s Trigonometry delivers a directed course of study in the mathematics of triangles, right triangle relationships, and the functions which describe those relationships, for the high school student. It builds on the trigonometry of right triangles, circular functions, and the intricacies of trigonometric identities, through inverse functions and the solution of trigonometric equations, culminating in vectors, polar equations, and complex numbers. It can also be used in conjunction with other directed courses in Mathematical Analysis or Linear Algebra as a full course in Precalculus.
Analytic Geometry for Precalculus