Short Description:
An open textbook created to improve both teaching and learning vital concepts and techniques in multivariable calculus, one of the fundamental courses across the undergraduate curriculum in science and engineering. The goals of this resource are to help learners develop their geometric intuition about abstract and complex mathematical concepts (e.g., partial derivatives, multiple integrals, vector fields), and train them to make connections between concepts visually (e.g., connecting “vectors” in mathematics with “magnitude” and “direction” in physics) in order to more fully understand engineering, physics and mathematical problems (e.g., differential equations) in their subsequent STEM coursework.

Word Count: 7075

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

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.

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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.

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.

This is a fact sheet defining OER, explaining the 5 Rs of OER, and discussing the relevance of OER to adult education.

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.

Learn the fundamentals of machine learning to help you correctly apply various classification and regression machine learning algorithms to real-life problems.

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).

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.)

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.

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.

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.

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.

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.

This resource can be used in providing real-life activity for students by conducting survey. Results of their survey will be organized and presented through text, graphs and tables with research ethics observed.

Adapted from OpenStax by Darlene Young

Short Description:
Introductory Statistics follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.

Long Description:
Senior Contributing Authors Barbara Illowsky, De Anza College Susan Dean, De Anza College

Word Count: 227030

(Note: This resource's metadata has been created automatically as part of a bulk import process by reformatting and/or combining the information that the author initially provided. As a result, there may be errors in formatting.)

To add the vectors (x₁,y₁) and (x₂,y₂), we add the corresponding components from each vector: (x₁+x₂,y₁+y₂). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.​​

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.

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