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4434Active Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=1084071
'Several fundamental ideas in calculus are more than 2000 years old. As a formal subdiscipline of mathematics, calculus was first introduced and developed in the late 1600s, with key independent contributions from Sir Isaac Newton and Gottfried Wilhelm Leibniz. Mathematicians agree that the subject has been understood rigorously since the work of Augustin Louis Cauchy and Karl Weierstrass in the mid 1800s when the field of modern analysis was developed, in part to make sense of the infinitely small quantities on which calculus rests. Hence, as a body of knowledge calculus has been completely understood by experts for at least 150 years. The discipline is one of our great human intellectual achievements: among many spectacular ideas, calculus models how objects fall under the forces of gravity and wind resistance, explains how to compute areas and volumes of interesting shapes, enables us to work rigorously with infinitely small and infinitely large quantities, and connects the varying rates at which quantities change to the total change in the quantities themselves.While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the case that many of the ideas she presents are new. Indeed, the mathematics community broadly agrees on what the main ideas of calculus are, as well as their justification and their importance; the core parts of nearly all calculus textbooks are very similar. As such, it is our opinion that in the 21st century – an age where the internet permits seamless and immediate transmission of information – no one should be required to purchase a calculus text to read, to use for a class, or to find a coherent collection of problems to solve. Calculus belongs to humankind, not any individual author or publishing company. Thus, a main purpose of this work is to present a new calculus text that is free. In addition, instructors who are looking for a calculus text should have the opportunity to download the source files and make modifications that they see fit; thus this text is opensource. Since August 2013, Active Calculus has been endorsed by the American Institute of Mathematics and its Open Textbook Initiative: http://aimath.org/textbooks/.'Mon, 30 Nov 2015 13:57:26 -0800Active Calculus - Multivariable
https://www.merlot.org/merlot/viewMaterial.htm?id=1084087
'As we have noted in the single-variable edition of Active Calculus, several fundamental ideas in calculus are more than 2000 years old, and calculus as a formal subdiscipline of mathematics was first introduced and developed in the late 1600s. Mathematicians agree that the subject has been understood – rigorously and by experts – since the mid 1800s. The discipline is one of our great human intellectual achievements.While each author of a calculus textbook certainly offers her own creative perspective on the subject, it is hardly the case that many of the ideas she presents are new. Indeed, the mathematics community broadly agrees on what the main ideas of calculus are, as well as their justification and their importance; the core parts of nearly all calculus textbooks are very similar. As such, it is our opinion that in the 21st century – an age where the internet permits seamless and immediate transmission of information – no one should be required to purchase a calculus text to read, to use for a class, or to find a coherent collection of problems to solve. Calculus belongs to humankind, not any individual author or publishing company. Thus, a main purpose of this work is to present a new multivariable calculus text that is free. In addition, instructors who are looking for a multivariable calculus text should have the opportunity to download the source files and make modifications that they see fit; thus this text is open-source.'Mon, 30 Nov 2015 13:46:39 -0800Interactive Newton's Method Visualization
https://www.merlot.org/merlot/viewMaterial.htm?id=1083438
This is an interactive activity where you can type in any function and have the computer use Newton's Method to find the root. It animates the tangent line being drawn to the x-axis, then back up to the curve and the draws the next tangent line. It also shows the guess at each iteration of Newton's Method.Fri, 27 Nov 2015 11:21:43 -0800A Spiral Workbook for Discrete Mathematics: Open Suny Textbooks
https://www.merlot.org/merlot/viewMaterial.htm?id=1083133
A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophmore-level course in dicrete mathematics: logic, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides students through a detailed discussion on how a proof is revised from its draft to a polished form. Hands-on exercises help students undrstand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students' problem-solving and writing skills.Wed, 25 Nov 2015 21:37:07 -0800Algebra and Trigonometry: OpenStax College
https://www.merlot.org/merlot/viewMaterial.htm?id=1083100
Algebra and Trigonometry provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for an introductory Algebra and Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Algebra and Trigonomstry by OpenStax is licensed under a Creative Commons License 4.0 International.Wed, 25 Nov 2015 19:18:55 -0800College Algebra: OpenStax College
https://www.merlot.org/merlot/viewMaterial.htm?id=1083097
College Algebra provides a comprehensive and multi-layered exploration of algebraic principles. The text is suitable for a typical introductory Algebra course, and was designed to be used flexibly. The modular approach has the richness of content ensures that the book meets the needs of a variety of programs. College Algebra by OpenStax is licensed under a Creative Commons License 4.0 International.Wed, 25 Nov 2015 18:53:02 -0800Pre-Algebra: OpenStax College
https://www.merlot.org/merlot/viewMaterial.htm?id=1083092
Pre-Algebra is a textbook for a one-semester course that serves as a bridge between arithmetic and algebra, "Fundamentals", and so on. The organization makes it easy to adapt the text to suit a variety of course syallabi. Prealgebra by OpenStax is licences under a Creative Commons License 4.0 International.Wed, 25 Nov 2015 18:20:33 -0800An Introduction to Matlab
https://www.merlot.org/merlot/viewMaterial.htm?id=1083017
This is a free textbook offered by BookBoon.'Matlab is one of the most popular programs for quantitative analysis.This book introduces you to the basics of Matlab without requiring any previous experience of programming.Through a series of easily followed examples, the book builds your knowledge step-by-step so that, at the end, you will master all the fundamentals of the program.Topics include how to import data, mathematical operations, graphics, and programming. Special attention has been given to debugging techniques and how to find further help. Examples include linear regressions, solving equations, and numerical integration.'Wed, 25 Nov 2015 12:26:20 -0800D3MOBILE.ES FREE TUTORIAL
https://www.merlot.org/merlot/viewMaterial.htm?id=1082120
These exercise is oriented to training students to develop 3D accuracy virtual models with a mobile phone.Mon, 23 Nov 2015 01:12:25 -0800Penn State University's B.Bookx: Open Source Textbook Software Development Tool
https://www.merlot.org/merlot/viewMaterial.htm?id=1082097
Penn State University's B.BooKx is an algorithmic software development tool for educators and students for creating OER/Creative Commons based Open Source Textbooks. Currently undergoing developmental trials, it uses the Wikipedia Database Repository for creating OER/Creative Commons licensed Open Textbooks. BBookx developers hope to eventually add other OER Repositories to it and they are looking for people interested in partnering for future research using B.Bookx. Sun, 22 Nov 2015 21:14:03 -0800