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2000 Midterm I + Solutions
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Midterm examination for a class at MIT covering game theory and its applications to economics. The one-hour-and-twenty-minute open book examination asks open ended theoretical questions. The exam contains questions and solutions.

Subject:
Mathematics
Economics
Material Type:
Assessment
Provider:
TeachingWithData.org
Provider Set:
TeachingWithData.org
Author:
Massachusetts Institute of Technology
Muhamet Yildiz
Date Added:
11/07/2014
5 Pythagorean Solids
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CC BY-NC-SA
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This OER explores the basic organization of the Pythagorean Solids. It contains both an activity as well as resources for further exploration. It is a product of the OU Academy of the Lynx, developed in conjunction with the Galileo's World Exhibition at the University of Oklahoma.

Subject:
Arts and Humanities
History
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Lecture Notes
Primary Source
Student Guide
Author:
Brent Purkaple
Kerry Magruder
Date Added:
01/28/2016
APEX Calculus
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CC BY-NC
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APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Subject:
Calculus
Material Type:
Textbook
Provider:
APEX: Affordable Print and Electronic TeXtbooks
Author:
Brian Heinold
Dimplekumar Chalishajar
Gregory Hartman
Troy Siemers
Date Added:
01/01/2014
Abstract Algebra: Theory and Applications
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Some Rights Reserved
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This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.

Subject:
Algebra
Material Type:
Textbook
Provider:
University of Puget Sound
Author:
Thomas Judson
Date Added:
01/01/2016
Active Calculus
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CC BY-NC-SA
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Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; 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; the exercises are few in number and challenging in nature.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matt Boelkins
Steve Schlicker
Date Added:
02/19/2015
Active Calculus 2.0
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CC BY-NC-SA
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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.

Subject:
Calculus
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matt Boelkins
Steve Schlicker
Date Added:
12/01/2020
Active Calculus Multivariable
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CC BY-NC-SA
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Active Calculus Multivariable is the continuation of Active Calculus to multivariable functions. The Active Calculus texts are different from most existing calculus texts in at least the following ways: the texts are free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the texts are open source, and interested instructors can gain access to the original source files upon request; the style of the texts requires students to be active learners — there are very few worked examples in the texts, 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; the exercises are few in number and challenging in nature.

Subject:
Calculus
Material Type:
Textbook
Provider:
Grand Valley State University
Author:
David Austin
Matthew Boelkins
Steven Schlicker
Date Added:
07/01/2018
Adopt a Blob
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CC BY-NC-SA
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At the beginning of the course, each student is assigned a unique blob - or a piece of material of a particular shape with specific material properties (density, bulk modulus, composition, viscosity, volatile content, etc) that is residing within the mantle at a specific environment (depth, pressure, temperature). Then as the semester continues as a topic is covered the student must assess (either quantitatively or qualitatively) what observable would be associated with their blob (for example, gravity anomalies, geoid anomalies, surface expressions, seismic tomography, phase transition topography). The student then develops a portfolio of their blob and its observables to then present at the end of the course with an explanation/interpretation for the source of the blob culiminating at building a geo-story around their anomaly.

Some blobs could be amorphous anomalies whereas other could have physical significance (though best not to tell the students ahead of time so they can make their own discovery as to what the blob is or isn't) such as subducted slabs at the CMB (or 660 km), plumes, lithospheric drip, lithospheric root, or a boring typical piece of the mantle.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

Subject:
Communication
Biology
Measurement and Data
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
Catherine Cooper
Date Added:
03/02/2020
Advanced Algebra v. 1.0
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CC BY-NC-SA
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Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged.

Intermediate Algebra clearly lays out the steps required to build the skills needed to solve a variety of equations and interpret the results. With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems. In addition to embedded video examples and other online learning resources, the importance of practice with pencil and paper is stressed. This text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. In addition, Intermediate Algebra was written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success.

The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.

Subject:
Algebra
Material Type:
Textbook
Author:
John Redden
Date Added:
12/29/2012
Advanced Engineering Mathematics and Analysis - Nils Tilton & Corey R. Randall
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CC BY-NC-SA
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An open-source textbook covering vector calculus, ordinary and partial differential equations, and Fourier series. The textbook is used in a first-year graduate level course in the Department of Mechanical Engineering at the Colorado School of Mines. It undergoes extensive revisions annually, but is relatively complete.

Subject:
Engineering
Mathematics
Material Type:
Textbook
Author:
Allyson Turner
Emily Bongiovanni
Nils Tilton
Seth Vuletich
Date Added:
08/19/2022
Advanced Water Mathematics
Unrestricted Use
CC BY
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Learning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment. From College of the Canyons.

Table of Contents
Section 1: Unit Dimensional Analysis
Section 2: Geometric Shapes
Section 3: Density and Specific Gravity
Section 4: Chemical Dosage Analysis
Section 5: Weir Overflow Rate
Section 6: Water Treatment Math Detention Time
Section 7: CT Calculations
Section 8: Pressure, Head Loss, and Flow
Section 9: Well Yield, Specific Capacity, and Drawdown
Section 10: Horsepower and Efficiency
Section 11: Per Capita Water Usage
Section 12: Blending and Diluting
Section 13: Scada and the Use of mA
Section 14: Water Utility Management

Subject:
Mathematics
Hydrology
Material Type:
Textbook
Author:
Michael Alvord
Regina Blasberg
Date Added:
08/06/2020
Advanced exploration of the ecological consequences of trophic downgrading in mixed/short grass prairies in North America
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CC BY-NC-SA
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North American ecosystems have fundamentally changed over the late Pleistocene and Holocene; from a system dominated by mammoths, to bison, to domestic livestock. Given the very different body size and herd formation of these 'ecosystem engineers', it is likely that animals influence soil structure, water tables, vegetation and other animals in the ecosystems. What has been the ecological influence of the continued 'downsizing' of the largest animals in the ecosystem?

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

Subject:
Environmental Science
Information Science
History
Biology
Measurement and Data
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
Dennis Ruez
Date Added:
09/26/2022
Advanced steronet -finding rotation axes
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CC BY-NC-SA
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Using stereonets to find rotation axes of tilted planes. Paleomagnetic vectors used as indicators of rotations of dikes and planes.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

Subject:
Biology
Measurement and Data
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
Steve Hurst
Date Added:
08/29/2019
Age and Attitudes about the Rights of Homosexuals: A Data-Driven Learning Guide
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This is a learning module that uses data to investigate trends in attitudes regarding the rights of homosexuals in the United States from the early 1990s through 2007.

Subject:
Life Science
Mathematics
Material Type:
Activity/Lab
Provider:
TeachingWithData.org
Provider Set:
TeachingWithData.org
Author:
ICPSR
Date Added:
11/07/2014
Agent-Based Evolutionary Game Dynamics
Unrestricted Use
CC BY
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This book is a guide to implement simple agent-based evolutionary models using NetLogo.

Subject:
Mathematics
Material Type:
Textbook
Author:
Luis R. Izquierdo
Segismundo S. Izquierdo
William H. Sandholm
Date Added:
06/28/2019
Air Pollution [Liberal Arts: Math and Science/Natural Science]
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CC BY
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This assignment was designed for students in the pathways introductory chemistry class and the first year seminar and aligns with the Inquiry and Problem Solving core competency. In this context, there is a focus on framing the issues (identifies and/or addresses questions and problems), evidence gathering (assembles, reviews and synthesizes evidence from several diverse sources), evidence (analyze the data to address the questions posed) and conclusions (critical thinking, reflect on the outcomes, draw conclusions and generate new knowledge). There is also a Global Learning component based on comparing data collected locally with corresponding data from other locations or countries. The assignment includes the written communication ability with a focus on "Content Development and Organization," as well as the clarity of the communication and its purpose. The overall aim of this assignment is to enhance students' conceptual learning and understanding of key issues related to society as well as their course. This assignment was developed as part of a LaGuardia Global Learning mini-grant and CUNY Experiential Learning and Research in the Classroom mini-grants.
The assignment will be scaffolded over about 3 weeks and is worth about 10% of the final grade.
To further increase the success of this assignment, instructors might want to consider the following: Use class discussions to focus on the relevance and importance of conceptual learning. In order to improve the data analysis aspect, incorporating class demonstrations of how to conduct the analysis and guide discussions about what the data means. Giving students more detailed rubrics with formal expectations of the requirements of the assignments, particularly in the written format Find ways to increase student participation in class discussions.
When this assignment has been utilized in previous semesters, students clearly displayed the capability to relate the co-curricular experiences in the data collection and its analysis to concepts and ideas covered during class. Evidence for this came from very dynamic and interactive class discussions based on air pollution as well as from the output of the written assignment, in which students were able to relate the nature, sources and chemical properties of the pollutants to their impact on the environment, health and society in general.
LaGuardia's Core Competencies and Communication Abilities
List the Program Goal(s) that this assignment targets
Global Learning based on comparing pollutant levels around the LaGuardia campus with those in other locations or countries. It is also an IPS assignment, incorporating scientific literacy and thinking, as students need to analyze the data, interpret it and reflect on the outcomes.
List the Student Learning Objective(s) that this assignment targets
Identify and apply fundamental chemical concepts and methods. Gather, analyze, and interpret data.
List the Course Objectives(s) that this assignment targets
Explore the complex connections between chemistry and society. Apply chemical principles to real world issues, including ethical aspects. Gather, analyze, and interpret data.
Write a short description of the pedagogy involved in executing this assignment
Students collect and analyze the data, interpret the results in terms of pollution levels, safety and ethics and compare with EPA standard levels and with levels in other countries.
Outside the classroom events will be organized for data collection. There will be class and group-based discussions focused on the data, its analysis and the connections to society.

Subject:
Environmental Science
Biology
Statistics and Probability
Chemistry
Physical Geography
Material Type:
Homework/Assignment
Provider:
CUNY Academic Works
Provider Set:
LaGuardia Community College
Author:
Alberts, Ian
Date Added:
06/16/2022
Algebra
Unrestricted Use
CC BY
Rating
0.0 stars

This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.

Subject:
Algebra
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
08/28/2013
Algebra
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CC BY-SA
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In this video, we explore some concepts fundamental to algebra. To streamline the discussion of relationships between physical quantities, we introduce variables, functions, composition, and inverse. By thinking about the concept of an inverse function, we obtain our first glimpse of the imaginary root (i.e. square-root of -1) and the complex plane.

Subject:
Mathematics
Algebra
Material Type:
Lecture Notes
Provider:
Look At Physics
Provider Set:
A Mathematical Way to Think About Biology
Author:
David Liao
Date Added:
10/08/2011
Algebra and Trigonometry
Unrestricted Use
CC BY
Rating
5.0 stars

Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Subject:
Algebra
Trigonometry
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
01/29/2015