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APEX Calculus
Copyright Year: 2014
Contributors: Hartman, Heinold, Siemers, Chalishajar, and Bowen
Publisher: APEX Calculus
License: CC BY-NC
This text comprises a three–text series on Calculus. The first part covers material taught in many “Calc 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6.1. The second text covers material often taught in “Calc 2:” integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 5 through 8. The third text covers topics common in “Calc 3” or “multivariable calc:” parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 9 through 14. More information, including free downloads of .pdf versions of the text, is available at www.apexcalculus.com.
(5 reviews)
Liberté
Copyright Year: 2003
Contributor: Angelo
Publisher: Gretchen V. Angelo
License: CC BY-NC-SA
This French book is aimed at a first-year college student. Its features include:
(10 reviews)
Principles of Microeconomics
Copyright Year: 2014
Contributors: Taylor, Greenlaw, and Dodge
Publisher: OpenStax
License: CC BY
Principles of Economics 2e covers the scope and sequence of most introductory economics courses. The text includes many current examples, which are handled in a politically equitable way. The outcome is a balanced approach to the theory and application of economics concepts. The second edition has been thoroughly revised to increase clarity, update data and current event impacts, and incorporate the feedback from many reviewers and adopters.
(17 reviews)
Principles of Macroeconomics - 3e
Copyright Year: 2017
Contributors: Greenlaw, Shapiro, and Taylor
Publisher: OpenStax
License: CC BY
Principles of Macroeconomics 3e covers the scope and sequence of most one semester introductory macroeconomics courses. The third edition takes a balanced approach to the theory and application of macroeconomics concepts. The text uses conversational language and ample illustrations to explore economic theories, and provides a wide array of examples using both fictional and real-world scenarios. The third edition has been carefully and thoroughly updated to reflect current data and understanding, as well as to provide a deeper background in diverse contributors and their impacts on economic thought and analysis. For example, the third edition highlights the research and views of a broader group of economists. Brief references and deeply explored socio-political examples have also been updated to showcase the critical – and sometimes unnoticed – ties between economic developments and topics relevant to students.
(17 reviews)
Principles of Economics - 3e
Copyright Year: 2022
Contributors: Greenlaw, Shapiro, and MacDonald
Publisher: OpenStax
License: CC BY
Principles of Economics 3e covers the scope and sequence of most introductory economics courses. The third edition takes a balanced approach to the theory and application of economics concepts. The text uses conversational language and ample illustrations to explore economic theories, and provides a wide array of examples using both fictional and real-world scenarios. The third edition has been carefully and thoroughly updated to reflect current data and understanding, as well as to provide a deeper background in diverse contributors and their impacts on economic thought and analysis. For example, the third edition highlights the research and views of a broader group of economists. Brief references and deeply explored socio-political examples have been updated to showcase the critical – and sometimes unnoticed – ties between economic developments and topics relevant to students.
(10 reviews)
Information Systems for Business and Beyond
Copyright Year: 2014
Contributors: Bourgeois, Smith, Wang, and Mortati
Publisher: Saylor Foundation
License: CC BY-NC
This book is written as an introductory text, meant for those with little or no experience with computers or information systems. While sometimes the descriptions can get a little bit technical, every effort has been made to convey the information essential to understanding a topic while not getting bogged down in detailed terminology or esoteric discussions.
(18 reviews)
Linear Algebra
Copyright Year: 2016
Contributors: Cherney, Denton, and Waldon
Publisher: University of California, Davis
License: CC BY-NC-SA
We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.
(2 reviews)
Combinatorics Through Guided Discovery
Copyright Year: 2004
Contributor: Bogart
Publisher: Kenneth P. Bogart
License: Free Documentation License (GNU)
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.
(1 review)
Active Calculus 2.0
Copyright Year: 2017
Contributors: Boelkins, Austin, and Schlicker
Publisher: Grand Valley State University
License: CC BY-NC-SA
Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.
(13 reviews)
Introduction to Real Analysis
Copyright Year: 2013
Contributor: Trench
Publisher: A.T. Still University
License: CC BY-NC-SA
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course.
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(0 reviews)