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12 O'Quad High: Trigonometry in Flight  (Teaching Channel video)
Rating

Peggy Brookins and Raymond James help students apply knowledge of trigonometric functions to the live testing of quad copters. This is a useful exercise for applying mathematical knowledge to real world situations.

Subject:
Trigonometry
Material Type:
Activity/Lab
Author:
Peggy Brookins
Raymond James
Date Added:
08/29/2018
2000 Midterm I + Solutions
Rating

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
5.5 Define Theorems and give an example
Conditions of Use:
No Strings Attached
Rating

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
Conditions of Use:
Remix and Share
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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
ANOVA Calculations
Conditions of Use:
Remix and Share
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This supplemental material is an online resource of OpenIntro Statistics, a textbook available for free in PDF at openintro.org and in paperback for about $10 at amazon.com.

Subject:
Mathematics
Statistics and Probability
Material Type:
Reading
Provider:
OpenIntro
Author:
Emiliano Vega
Ralf Youtz
Date Added:
09/15/2017
APEX Calculus
Conditions of Use:
Remix and Share
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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 Calculus in MathBook XML
Conditions of Use:
Remix and Share
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Textbook for Portland Community College Calculus sequence.

MTH 251: Includes limits, continuity, derivatives and some applications of derivatives.

MTH 252: Includes antiderivatives, the definite integral, topics of integration, improper integrals, and applications of differentiation and integration.

MTH 253: Includes infinite sequences and series (including Taylor series), vectors, and geometry of space.

MTH 254: Includes multivariate and vector-valued functions from a graphical, numerical, and symbolic perspective. Applies integration and differentiation of both types of functions to solve real world problems.

Subject:
Calculus
Material Type:
Textbook
Author:
Alex Jordan
Carly Vollet
Gregory Hartman
Jennifer Bowen
Date Added:
06/24/2019
APEX PreCalculus
Conditions of Use:
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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
Conditions of Use:
No Strings Attached
Rating

This module aims to acquaint you with the mathematical aspects of rings and groups and the underlying algebraic structures and when they are looked at as non-empty sets, how their elements are combined by binary operations as well as how those elements behave under transformations such finding inverses. Some non-empty sets, under the operation of addition or multiplication do not include the inverses of their elements as members of the set and they are called semi-groups. The non-empty sets that include the inverses of their elements are full fledged groups. This module fills the gap arising from basic mathematics.

Subject:
Algebra
Material Type:
Module
Provider:
African Virtual University
Provider Set:
OER@AVU
Author:
Othow Onak Giel
Date Added:
03/10/2018
Abstract Algebra
Conditions of Use:
Read the Fine Print
Rating

Algebra is the language of modern mathematics. This course introduces students to that language through a study of groups, group actions, vector spaces, linear algebra, and the theory of fields.

Subject:
Algebra
Material Type:
Lecture
Provider:
Harvard University
Provider Set:
Harvard Extension School
Author:
Benedict Gross
Date Added:
01/09/2013
Abstract Algebra II
Conditions of Use:
Read the Fine Print
Rating

This course is a continuation of Abstract Algebra I: the student will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms. The student will also take a look at ring factorization, general lattices, and vector spaces. Later this course presents more advanced topics, such as Galois theory - one of the most important theories in algebra, but one that requires a thorough understanding of much of the content we will study beforehand. Upon successful completion of this course, students will be able to: Compute the sizes of finite groups when certain properties are known about those groups; Identify and manipulate solvable and nilpotent groups; Determine whether a polynomial ring is divisible or not and divide the polynomial (if it is divisible); Determine the basis of a vector space, change bases, and manipulate linear transformations; Define and use the Fundamental Theorem of Invertible Matrices; Use Galois theory to find general solutions of a polynomial over a field. (Mathematics 232)

Subject:
Algebra
Material Type:
Full Course
Provider:
The Saylor Foundation
Date Added:
11/11/2011
Abstract Algebra: Theory and Applications
Conditions of Use:
Read the Fine Print
Rating

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
Achieve New Heights: Go to the Rockies!
Conditions of Use:
Remix and Share
Rating

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
Conditions of Use:
Remix and Share
Rating

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 Multivariable
Conditions of Use:
Remix and Share
Rating

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
Activity: Identifying a Solid Using Density
Conditions of Use:
Read the Fine Print
Rating

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
Science Education Resource Center (SERC) at Carleton College
Provider Set:
comPADRE
Pedagogy in Action
Author:
Greg Schmidt
Date Added:
08/28/2012
Activity: Measure Your Reaction Time
Conditions of Use:
Read the Fine Print
Rating

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
Science Education Resource Center (SERC) at Carleton College
Provider Set:
comPADRE
Pedagogy in Action
Author:
Peter Bohacek
Date Added:
08/28/2012