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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
#2: Functions and Relations
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CC BY-NC
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This week we will examine the concept of a function, a fundamental concept underlying all of modern mathematics. You’re undoubtedly already familiar with functions in an intuitive sense: a function is something which, given
an input, produces an output. But you’ve probably never seen the formal definition of a function as it relates to set theory, which is what we’ll look at this week.

Subject:
Functions
Material Type:
Reading
Author:
Brent Yorgey
Date Added:
10/14/2020
3D Model of a Geologic Map
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CC BY-NC-SA
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Play-Doh model of a geologic map

Provenance: Carol Ormand Ph.D., Carleton College
Reuse: This item is offered under a Creative Commons Attribution-NonCommercial-ShareAlike license http://creativecommons.org/licenses/by-nc-sa/3.0/ You may reuse this item for non-commercial purposes as long as you provide attribution and offer any derivative works under a similar license.
Students analyze a geologic map of an angular unconformity that truncates a pair of dikes, with some topography. When students have deciphered the map and constructed a cross-section, I show them a Play-Doh model of the geology and ask them to compare it to their mental model of the area.

(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:
Basil Tikoff, University of Wisconsin-Madison Naomi Barshi, University of Wisconsin-Madison Carol Ormand, SERC, Carleton College
Date Added:
09/01/2022
5.5 Define Theorems and give an example
Unrestricted Use
CC BY
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College Algebra
A pre-lecture worksheet for students to preview section 5.5 and find the descriptions for the theorems covered in this section. Also having them try an example for each of the theorems.

Subject:
Algebra
Material Type:
Homework/Assignment
Author:
Sandy Porter
Date Added:
04/19/2019
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
AHSS Front Matter
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CC BY
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Description:

This is the online, interactive version of OpenIntro's Advanced High School Statistics (https://www.openintro.org/book/ahss/). It was developed by Emiliano Vega and Ralf Youtz of Portland Community College using PreTeXt.

Advanced High School Statistics covers a first course in statistics, providing an introduction to applied statistics that is clear, concise, and accessible. This book was written to align with the AP© Statistics Course Description, but it's also popular in non-AP courses and community colleges.

We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods:

1. Statistics is an applied field with a wide range of practical applications.

2. You don't have to be a math guru to learn from real, interesting data.

3. Data are messy, and statistical tools are imperfect. But, when you understand the strengths and weaknesses of these tools, you can use them to learn about the real world.

Subject:
Statistics and Probability
Material Type:
Teaching/Learning Strategy
Provider:
Portland Community College
Author:
Christopher D Barr
David M Diez
Leah Dorazio
Mine Etinkaya-rundel
Date Added:
08/17/2020
ALG Calculus II Portal
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CC BY-NC-SA
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A continuation of MATH 2253. Topics include differentiation and integration of transcendental functions,
integration techniques, indeterminate forms, infinite sequences and series, Taylor and Maclaurin series,
parametric equations, L'Hopital's Rule, improper integrals, and polar coordinates.

Subject:
Calculus
Material Type:
Full Course
Provider:
Kennesaw State University
Author:
Lake Ritter
Date Added:
10/03/2022
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
APEX PreCalculus
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CC BY-NC
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This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.

Subject:
Calculus
Material Type:
Textbook
Author:
Amy Givler Chapman
Jessica Libertini
Meagan Herald
Date Added:
06/28/2019
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
Accessing Streamflow Data via the Worldwide Web
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CC BY-NC-SA
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This is a computer-based activity in which students retrieve data from websites maintained by the US Geological Survey (USGS) and the National Weather Service (NWS), and then use that data to test different hypotheses regarding streamflow and precipitation. Students import data from web sites into a spreadsheet program where they can construct scatter plots and perform simple statistical tests. The activity has two components, the first focusing on relations between streamflow and drainage basin characteristics (drainage area, slope, precipitation), the second focusing on trends in annual precipitation at two locations in the USA: Burlington, VT, and Boulder, CO. As part of the second component, students conduct a statistical test to determine if the long-term trends in precipitation are significant.

(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
Statistics and Probability
Hydrology
Material Type:
Activity/Lab
Data Set
Interactive
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
John Pitlick
Date Added:
08/18/2020
Achieve New Heights: Go to the Rockies!
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CC BY-NC-SA
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Spreadsheets Across the Curriculum module/Geology of National Parks course. Students estimate travel times and costs of a driving/camping trip to visit national parks in Colorado.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Pedagogy in Action
Author:
Judy A. McIlrath
Date Added:
11/06/2014
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
Active Prelude to Calculus
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CC BY-SA
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This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Author:
Matthew Boelkins
Date Added:
02/18/2022
Activity: Identifying a Solid Using Density
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Educational Use
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Effective measurement techniques include the concept of measurement uncertainty. Students may make erroneous conclusions analyzing data using measurements that do not include the uncertainty of the measurement. In this lab, students determine a density range for a metal and identify the material based on this range.

Subject:
Mathematics
Physics
Material Type:
Activity/Lab
Provider:
ComPADRE Digital Library
Author:
Greg Schmidt
Date Added:
08/28/2012
Activity: Measure Your Reaction Time
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Educational Use
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This is a lab activity that allows students to collect data to practice using effective measurement. While other authors have produced similar labs, this version includes uncertainty analysis consistent with effective measurement technique as presented in the module Measurement and Uncertainty.

Subject:
Mathematics
Physics
Material Type:
Activity/Lab
Provider:
ComPADRE Digital Library
Author:
Peter Bohacek
Date Added:
08/28/2012