MERLOT Materials
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MERLOT MaterialsCopyright (C) 2018 MERLOT Some Rights ReservedMon, 30 Nov 2015 21:57:26 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
https://www.merlot.org/
-1-1Simulations/Demonstrations in Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=75489
<p>This Virtual Lab contains simulations for a variety of statistical concepts, including ANOVA, correlation, Regression, T-tests, Goodness of Fit, Histograms, etc. Each statistical topic can be searched and appropriate simulations or demonstrations are shown. Graphics that can be manipulated are shown, instructions are provided, and exercises are included. Links are also provided for definitions.</p>Thu, 06 Sep 2001 07:00:00 GMTDavid Lane Rice UniversityAbstract Algebra Online
https://www.merlot.org/merlot/viewMaterial.htm?id=259085
This is a resource that can be used in conjunction with an Abstract Algebra class. It contains definitions and theorems regarding abstract algebra. Included is a Table of Contents that lists the topics such as Integers, Functions, Groups, Polynomials, Galois Theory, Unique Factorization, etc. There is also a link to an online study guide for the topic.Thu, 14 Jun 2007 20:29:35 GMTJohn Beachy Northern Illinois UniversityAlgebra
https://www.merlot.org/merlot/viewMaterial.htm?id=813968
<p>'The Boundless Algebra textbook is a college-level, introductory textbook that covers the important subject of Algebra -- one of the basic building blocks of studies in higher mathematics. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.</p>
<p><br />This textbook covers:<br /><br /><strong>The Building Blocks of Algebra</strong> -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation Solving<br /><br /><strong>Graphs, Functions, and Models</strong> -- Graphing, Functions: An Introduction, Modeling Equations of Lines, Functions Revisited, Algebra of Functions, Transformations<br /><br /><strong>Functions, Equations, and Inequalities</strong> -- Linear Equations and Functions, Complex Numbers, Quadratic Equations, Functions, and Applications, Graphs of Quadratic Functions, Further Equation Solving, Working with Linear Inequalities<br /><br /><strong>Polynomial and Rational Functions</strong> -- Polynomial Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder and Factor Theorems, Zeroes of Polynomial Functions and Their Theorems, Rational Functions, Inequalities, Variation and Problem Solving<br /><br /><strong>Exponents and Logarithms</strong> -- Inverse Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Properties of Logarithmic Functions, Growth and Decay; Compound Interest<br /><br /><strong>Systems of Equations and Matrices</strong> -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial Fractions<br /><br /><strong>Conic Sections</strong> -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and Inequalities<br /><br /><strong>Sequences, Series and Combinatorics</strong> -- Sequences and Series, Arithmetic Sequences and Series, Geometric Sequences and Series, Mathematical Inductions, Combinatorics, The Binomial Theorem, Probability'</p>Wed, 20 Nov 2013 18:04:24 GMTBoundlessCalculator App for iPad
https://www.merlot.org/merlot/viewMaterial.htm?id=672898
<p>"Calculator Free is a simple, functional and absolutely free calculator."</p><p>This is a free app</p>Wed, 11 Jul 2012 21:12:05 GMTBrian LightCourse of Linear Algebra and Multidimensional Geometry
https://www.merlot.org/merlot/viewMaterial.htm?id=447773
<p>This is a free, online textbook that can be downloaded as a pdf file. According to the site, "This is a textbook for the course of multidimensional geometry and linear algebra. This course is a part of the basic mathematical education. Therefore, it is taught at Physical and Mathematical Departments in all Universities of Russia during one or two semesters."</p>Tue, 27 Apr 2010 19:42:26 GMTRuslan SharipovData and Story Library
https://www.merlot.org/merlot/viewMaterial.htm?id=91204
DASL is designed to help instructors locate and identify datafiles for teaching. DASL also serves as an archive for datasets from the statistics literature. The archive contains two types of files, stories and datafiles. Each story applies a particular statistical method to a<br />set of data. Each datafile has one or more associated stories. The data can be downloaded as a space- or tab-delimited table of text, easily read by most statistics programs. The archive is searchable by discipline as well as statistical method.Tue, 22 Aug 2000 07:00:00 GMTMatthew Hutcheson; Mike Meyer; Paul Velleman DASL; DASL; DASLData and Story Library: Stories by Method
https://www.merlot.org/merlot/viewMaterial.htm?id=90113
This site contains an online library with datafiles and stories that demonstrate the use of statistical methods. Instructors can use the "stories" and datafiles to create real world examples that will interest students. The list here is organized by Method, but one can search the material by Topic or Data Subject as well.Fri, 14 Apr 2000 07:00:00 GMTMatthew Hutcheson; Paul Velleman; Mike Meyer Cornell University; Carnegie Mellon UniversityEXERCISING IN SPACE
https://www.merlot.org/merlot/viewMaterial.htm?id=906213
<p>'Students will identify a direct variation, solve linear equations, and create tables based on the exercise equipment provided for astronauts on long duration missions on the International Space Station (ISS) in order to maintain their fitness to perform mission objectives and to return to Earth without serious health complications. <br /><br />Students will</p>
<ul>
<li>identify direct variation from ordered pairs by calculating the constant of variation;</li>
<li>calculate slope from two points using the slope formula;</li>
<li>determine independent and dependent variables;</li>
<li>solve linear equations; and</li>
<li>create tables.'</li>
</ul>
<p>Links are provided here for both the teacher's information and the students' information.</p>Wed, 05 Nov 2014 01:58:00 GMTNASAHyperstat Online Statistics Textbook
https://www.merlot.org/merlot/viewMaterial.htm?id=75488
This is an online statistics book with links to other statistics sources. The site provides a tutorial on a variety of statistical concepts, including univariate data, bivariate data, normal distribution, sampling distributions, etc. Within each lesson are links to definitions and other information.Wed, 05 Sep 2001 07:00:00 GMTDavid Lane Rice UniversityLinear algebra via exterior products
https://www.merlot.org/merlot/viewMaterial.htm?id=447307
<p>This is a free, online textbook. According to Textbook Revolution, "Really explains abstract vectors, tensors, exterior products, determinants, Pfaffians, and more - linear algebra without cumbersome matrix calculations. Suitable as a second course of intermediate to advanced linear algebra. Exercises and example calculations provided."</p>Mon, 26 Apr 2010 21:18:30 GMTSergei Winitzki University of MuenchenMathematical Reasoning: Writing and Proof
https://www.merlot.org/merlot/viewMaterial.htm?id=800960
<p>'Mathematical Reasoning: Writing and Proof is designed to be a text for the ﬁrst course in the college mathematics curriculum that introduces students to the pro-cesses of constructing and writing proofs and focuses on the formal development of mathematics. The primary goals of the text are as follows:</p><p>To help students learn how to read and understand mathematical deﬁnitions and proofs;</p><p>To help students learn how to construct mathematical proofs;</p><p>To help students learn how to write mathematical proofs according to ac-cepted guidelines so that their work and reasoning can be understood by others; and</p><p>To provide students with material that will be needed for their further study of mathematics.'</p>Mon, 14 Oct 2013 22:21:09 GMTTed Sundstrom Grand Valley State UniversityMERLOT Classics Series - Demos with Positive Impact
https://www.merlot.org/merlot/viewMaterial.htm?id=452565
<p>This is a recording of a webinar by the authors of the material, "Demos with Positive Impact" (<a href="viewMaterial.htm?id=80956)" target="_blank"><a href="http://www.merlot.org/merlot/viewMaterial.htm?id=80956)</a>" target="_blank">http://www.merlot.org/merlot/viewMaterial.htm?id=80956)</a></a> as part of the MERLOT Classics Series on Elluminate. It is a good opportunity to explore the site from the authors' eyes and to gain insight into how they use it in classes.</p><p>It would be good for a faculty development workshop or for individual enjoyment.</p>Tue, 25 May 2010 21:54:52 GMTDavid Hill; Lila Roberts Temple University; Clayton State UniversityPBS LearningMedia
https://www.merlot.org/merlot/viewMaterial.htm?id=563483
<p>"PBS LearningMedia is a dynamic platform offering the best of public media content and produced specifically for PreK-16 teachers. With free access to over 14,000 high-quality resources tied to national standards, teachers can download, save and share exactly what they need for an inspired classroom experience."</p>
<p>"After 3 resource views, you will be prompted to create an account," although creation of the account is free. All of the materials are hosted on the PBS site.</p>
<p>One can search by grade level (Pre-K to 16+), subject matter, language, and accessibility.</p>Thu, 30 Jun 2011 15:39:19 GMTPBS & WGBH Educational Foundation.Trigonometry
https://www.merlot.org/merlot/viewMaterial.htm?id=511968
<p>According to The Orange Grove, "This book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools. The prerequisites are high school algebra and geometry. Contents: 1) Right Triangle Trigonometry. 2) General Triangles. 3) Identities. 4) Radian Measure. 5) Graphing and Inverse Functions. 6) Additional Topics. Appendix A) Answers and Hints to Selected Exercises. Appendix B) Graphing with Gnuplot."</p>Thu, 06 Jan 2011 20:47:03 GMTMichael CorralWolfram Precalculus Course Assistant App for iOS
https://www.merlot.org/merlot/viewMaterial.htm?id=713466
<p>'Taking precalculus? Then you need the Wolfram Precalculus Course Assistant. This definitive app for precalculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Precalculus Course Assistant solves your specific precalculus problems on the fly, including solving equations, vector arithmetic, statistics, and much more.<br /><br />This app covers the following topics applicable to precalculus and trigonometry:<br /><br />- Evaluate any numeric expression or substitute a value for a variable<br />- Solve a single equation or a system of equations<br />- Plot functions on the x-y plane or draw a parametric or polar plot<br />- Determine the sine, cosine, and tangent of a specific angle in a right triangle<br />- Simplify, expand, or factor trigonometric functions<br />- Find the partial fraction decomposition of an expression<br />- Calculate the dot product, cross product, and magnitude of two vectors<br />- Identify the mean, median, mode, and standard deviation of a set of data<br />- Calculate permutations and combinations<br /><br />The Wolfram Precalculus Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.'</p><p>This app costs $1.99</p>Wed, 28 Nov 2012 22:13:45 GMTWolfram Alpha LLCChance Teaching Aids
https://www.merlot.org/merlot/viewMaterial.htm?id=90110
This is a site that contains a number of types of material that can be used in teaching about chance probability. Lesson plans, syllabi, suggested activities, and data sets are available. The data sets contain interesting information for students such as: quarterback passing rating data, baseball streaks, and baseball salaries that can be used to illustrate means, medians, etc.Fri, 14 Apr 2000 07:00:00 GMTDifferential Equations
https://www.merlot.org/merlot/viewMaterial.htm?id=556384
<p>"Here are my online notes for my differential equations course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn how to solve differential equations or needing a refresher on differential equations.</p><p>I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from a Calculus or Algebra class or contained in other sections of the notes."</p><p> </p>Fri, 10 Jun 2011 18:53:50 GMTPaul Dawkins Lamar UniversityIntroduction to Differential Equations
https://www.merlot.org/merlot/viewMaterial.htm?id=859871
<p>This lesson received an honorable mention for the 2011 SoftChalk Lesson Challenge.</p>
<p>'Differential equations show up in many areas of science and technology. In fact, they turn up any time there is a relation involving some continuously varying quantities and ther rates of change. We have actually dealt with differntial equations before. A common modeling problem involving differential equations is the determination of the velocity of a ball falling which has an acceleration which is the acceleration due to gravity minus the acceleration due to air resistance. This is a differential equation because the derivative of the velocity of the ball depends on the velocity, thus finding the velocity as a function of time involves.' solving a differential equation.</p>
<p><span style="font-family: 'Times New Roman'; font-size: x-large;">'In this section we will</span></p>
<ul>
<li>
<p><span style="font-family: 'Times New Roman'; font-size: x-large;">Examine the basic form of differential equations</span></p>
</li>
<li>
<p><span style="font-family: 'Times New Roman'; font-size: x-large;">Verify solutions to differential equations</span></p>
</li>
<li>
<p><span style="font-family: 'Times New Roman'; font-size: x-large;">Determine slope fields for differential equations</span></p>
</li>
<li>
<p><span style="font-family: 'Times New Roman'; font-size: x-large;">Find solutions to differential equations numerically using Euler's method</span></p>
</li>
<li>
<p><span style="font-family: 'Times New Roman'; font-size: x-large;">Find solutions to differential equations using seperation of variables.'</span></p>
</li>
</ul>Fri, 09 May 2014 00:43:07 GMTPhillip Clark Scottsdale Community CollegeA Gentle Introduction to the Art of Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=800958
<p>'This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.</p><p>It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.'</p>Mon, 14 Oct 2013 22:13:53 GMTJoseph E. FieldsA simplified introduction to LaTeX
https://www.merlot.org/merlot/viewMaterial.htm?id=447678
<p>This is a free, online textbook. The table of contents can be found here: <a href="http://samizdat.mines.edu/latex/latextoc.ps" target="_blank" rel="nofollow"></a><a href="http://samizdat.mines.edu/latex/latextoc.ps" target="_blank" rel="nofollow">http://samizdat.mines.edu/latex/latextoc.ps</a></p>Tue, 27 Apr 2010 20:40:20 GMTHarvey J. Greenberg University of Colorado at DenverA youtube Calculus Workbook (Part I)
https://www.merlot.org/merlot/viewMaterial.htm?id=803561
<p>This is a free textbook offered by BookBoon.</p><p>'<span>This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level first Calculus course, or equivalently an AP Calculus AB course. The book further provides simple summary of videos, written definitions and statements, worked out examples--even though fully step-by-step solutions are to be found in the videos-- and an index. The playlist and the book are divided into 15 thematic learning modules. At the end of each learning module, one or more quiz with full solutions is provided. Every 3 or 4 modules, a mock test on the previous material, with full solutions, is also provided. This will help you test your knowledge as you go along. The book can be used for self study, or as a textbook for a Calculus course following the “flipped classroom” model.'</span></p>Tue, 22 Oct 2013 20:55:35 GMTFrédéric Mynard Georgia Southern UniversityActive Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=800971
<p>'Rather than detailed explanations and worked out examples, this book uses activities intended to be done by the students in order to present the standard concepts and computational techniques of calculus. The student activities provide most of the material to be assigned as homework, but since the book does not contain the usual routine exercises, instructors wanting such exercises will need to supply their own or use a homework system such as WebWork. With this approach <em>Active Calculus</em>makes it possible to teach an inquiry based learning course without severely restricting the material covered. Although this book is new, it has been class tested by the author and his colleagues both at their university and elsewhere.</p><p>From the preface:</p><blockquote>Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer a plausibility argument for such results, rarely do we include formal proofs.'</blockquote>Mon, 14 Oct 2013 22:02:17 GMTMatt Boelkins Grand Valley State CollegeActive Calculus
https://www.merlot.org/merlot/viewMaterial.htm?id=1084071
<p>c'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.</p>
<p>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: <a href="http://aimath.org/textbooks/.'" target="_blank" rel="nofollow">http://aimath.org/textbooks/.'</a></p>Mon, 30 Nov 2015 21:57:26 GMTMatthew Boelkins; David Austin; Steven Schlicker Grand Valley State University; Grand Valley State University; Grand Valley State UniversityAddition Math Flash Cards App for iPad
https://www.merlot.org/merlot/viewMaterial.htm?id=672566
<p>"Designed for people of all ages, Math Flash Cards Addition is an app that allows the user to practice simple basic addition facts or extend the users ability to work out complex addition problems up to three digit numbers. Users can control the number of digits used to generate the problems. From one digit to three digits can be seclected by the user. Users also can control the number of questions given during one session. If a wrong answer is given by the user, the correct answer is shown before the next problem is given. Sound feedback is provided to the user for correct and incorrect answers. If you are looking for a program to help improve your addition skills, this just might be the app for you.<br /><br />***Features*** <br />- Over 1,000,000 math problems to solve! <br />- Customizable timer (can be turned on or off) <br />- The max number can be set as low as 1 or as high as 999 <br />- You can set a minimum number(0 - 999, it has to be lower than your maximum number) <br />- Supports negative numbers(Turned off by default) <br />- Negative numbers can be generated randomly or you can control which numbers are negative! <br />- Users can set one of the numbers to a specific number <br />- Provides sound affects (can be turned on or off) <br />- Users can decide how many questions to complete <br />- Support the new iPad's Retina Display"</p><p>This is a free app</p>Tue, 10 Jul 2012 20:46:29 GMTRobert King