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Numerical Analysis
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Numerical Analysis

Numerical analysis is the study of the methods used to solve problems ... (more)

Numerical analysis is the study of the methods used to solve problems involving continuous variables. It is a highly applied branch of mathematics and computer science, wherein abstract ideas and theories become the quantities describing things we can actually touch and see. Suggested prerequisites for this course are MA211: Linear Algebra, MA221: Differential Equations, and either MA302/CS101: Introduction to Computer Science, or a background in some programming language. Programming ideas will be illustrated in pseudocode and implemented in the open-source high-level computing environment. Upon successful completion of this course, the student will be able to: show how numbers are represented on the computer, and how errors from this representation affect arithmetic; analyze errors and have an understanding of error estimation; be able to use polynomials in several ways to approximate both functions and data, and to match the type of polynomial approximation to a given type of problem; be able to solve equations in one unknown real variable using iterative methods and to understand how long these methods take to converge to a solution; derive formulas to approximate the derivative of a function at a point, and formulas to compute the definite integral of a function of one or more variables; choose and apply any of several modern methods for solving systems of initial value problems based on properties of the problem. This free course may be completed online at any time. (Mathematics 213) (less)

Subject:
Mathematics and Statistics
Material Type:
Assessments
Full Course
Readings
Syllabi
Video Lectures
Provider:
The Saylor Foundation
Provider Set:
Saylor Foundation
Data Quality: Missing Data
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Data Quality: Missing Data

This module describes how missing data can be managed while maintaining data ... (more)

This module describes how missing data can be managed while maintaining data quality. It explains how to plan for missing data; defines different types of Ňmissingness;Ó outlines the benefits of documenting missing data and illustrates how to document missing data; and describes procedures to minimize missing data. (less)

Subject:
Science and Technology
Material Type:
Assessments
Images and Illustrations
Lesson Plans
Unit of Study
Video Lectures
Provider:
Global Health Informatics Partnership
Provider Set:
African Health OER Network
Author:
Beverly Musick
Data Quality: Missing Data (PPT slides)
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Data Quality: Missing Data (PPT slides)

This module describes how missing data can be managed while maintaining data ... (more)

This module describes how missing data can be managed while maintaining data quality. It explains how to plan for missing data; defines different types of ˆmissingness;íń outlines the benefits of documenting missing data and illustrates how to document missing data; and describes procedures to minimize missing data. Upon completion of this module, students will be able to explain why data managers should strive to minimize missing data and develop a plan to record or code why data are missing. (less)

Subject:
Science and Technology
Material Type:
Textbooks
Provider:
Global Health Informatics Partnership (GHIP)
Provider Set:
OER Africa
Author:
Beverly Musick
Lectures on Numerical Analysis
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Lectures on Numerical Analysis

Although it is presented as a collection of lecture notes on numerical ... (more)

Although it is presented as a collection of lecture notes on numerical analysis, this is essentially a full-fledged online book on the topic. Written by a professor of mathematics at Pennsylvania State University, the 125-page document spans three chapters and covers various forms of differential and difference equations, methods for solving them, and linear algebra. Scattered throughout the text are example problems that illustrate important concepts. Each section is concluded with a set of exercises that build on the presented material. Unfortunately, solutions for these problems are not provided. (less)

Subject:
Education
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
Author:
Deturck, Dennis and Herbert S. Wilf
Data Quality: Data Cleaning
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Data Quality: Data Cleaning

This module addresses processes of quality control. Quality control is the process ... (more)

This module addresses processes of quality control. Quality control is the process of monitoring and maintaining the reliability, accuracy, and completeness of the data during the conduct of a project. (less)

Subject:
Science and Technology
Material Type:
Assessments
Images and Illustrations
Lesson Plans
Unit of Study
Video Lectures
Provider:
Global Health Informatics Partnership
Provider Set:
African Health OER Network
Author:
Beverly Musick
JSTOR: SIAM Journal on Numerical Analysis
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JSTOR: SIAM Journal on Numerical Analysis

The full text of the SIAM Journal on Numerical Analysis v. 1-34, ... (more)

The full text of the SIAM Journal on Numerical Analysis v. 1-34, 1964-97 (which continues the Journal of the Society for Industrial and Applied Mathematics (SIAM): Series B, Numerical Analysis) is available online at JSTOR. The SIAM Journal on Numerical Analysis contains research articles on "the development and analysis of numerical methods including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory." Visitors may search or browse the journal. Note that access to JSTOR contents is currently available only on a site license basis to academic institutions; JSTOR's site lists licensed institutions. (less)

Subject:
Education
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
Electronic Transactions on Numerical Analysis
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Electronic Transactions on Numerical Analysis

"Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the ... (more)

"Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new and important developments in numerical analysis and scientific computing." All thirteen volumes are all available on the ETNA home page, dating back to 1993. Four papers constitute the 2002 volume; however, additional papers could be added if more are accepted. One interesting paper considers methods of digital image reconstruction. Most papers propose new algorithms or analyze the effectiveness of their implementations in linear algebra and continuous models. ETNA is published at Kent State University. (less)

Subject:
Education
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
IHME: Data Visualizations
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IHME: Data Visualizations

Institute for Health Metrics and Evaluation (IHME) strives to make its data ... (more)

Institute for Health Metrics and Evaluation (IHME) strives to make its data freely and easily accessible and to provide innovative ways to visualize complex topics. Our data visualizations allow you to see patterns and follow trends that are not readily apparent in the numbers themselves. Here you can watch how trends in mortality change over time, choose countries to compare progress in a variety of health areas, or see how countries compare against each other on a global map. (less)

Subject:
Science and Technology
Provider:
TeachingWithData.org
Provider Set:
TeachingWithData.org
Author:
IHME
National Park Service: Data and Information
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National Park Service: Data and Information

The National Park Service Data and Information Web site contains several helpful ... (more)

The National Park Service Data and Information Web site contains several helpful links for data related to the Parks. The Data Clearinghouse link has national and regional data sets such as civil war and land status data, local and regional historic and scenic trails data sets, and information on the Virgin Islands in a well designed and easily browseable format. The Interactive Map Center allows visitors to explore the National Parks using interactive interfaces, while other links explain the National Park Service's standards and specifications, and how to use metadata correctly with other data. The unique and limited scope of the data makes the site a good example of how the Web is increasingly becoming an excellent source for hard-to-find free information. (less)

Subject:
Education
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
Archives of NA-TEACH: Teaching of Numerical Analysis Discussion List
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Archives of NA-TEACH: Teaching of Numerical Analysis Discussion List

NA-TEACH was an Internet mailing list devoted to the discussion of the ... (more)

NA-TEACH was an Internet mailing list devoted to the discussion of the teaching of numerical analysis. Though its focus was on teaching in an undergraduate setting, it is not restricted to this. Regular topics on NA-TEACH could include: a discussion of new numerical analysis textbooks, broadcasts of URLs where documents on numerical analysis can be found, personal reports on teaching numerical courses at your institution, impact of technology on the teaching of numerical analysis, curriculum debates, reform of numerical analysis courses, etc. (less)

Subject:
Education
Provider:
Internet Scout Project
Provider Set:
Internet Scout Project
RiverView Data Visualization Tool
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RiverView Data Visualization Tool

The RiverView Data Visualization Tool is an interactive, online, data-display tool that ... (more)

The RiverView Data Visualization Tool is an interactive, online, data-display tool that helps students understand real-world environmental problems using advanced technology and inquiry. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Data
Instructional Material
Simulations
Student Guide
Provider:
iLumina
Provider Set:
iLumina Digital Library
Author:
Dr. Richard Huber
Lea Bullard
New River Data Visualization Tools
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New River Data Visualization Tools

The New River Data Visualization Tools are interactive, online, data-display tools that ... (more)

The New River Data Visualization Tools are interactive, online, data-display tools that help students understand real-world environmental problems using advanced technology and inquiry. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Data
Instructional Material
Lesson Plans
Simulations
Student Guide
Provider:
iLumina
Provider Set:
iLumina Digital Library
Author:
Dr. Richard Huber
Lea Bullard
River Run Data Visualization Tool
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River Run Data Visualization Tool

The River Run Data Visualization Tool is an interactive, online, data-display tool ... (more)

The River Run Data Visualization Tool is an interactive, online, data-display tool that helps students understand real-world environmental problems using advanced technology and inquiry. (less)

Subject:
Science and Technology
Ecology
Forestry and Agriculture
Geoscience
Material Type:
Activities and Labs
Data
Instructional Material
Simulations
Student Guide
Provider:
iLumina
Provider Set:
iLumina Digital Library
Author:
Dr. Richard Huber
Lea Bullard
Ocean View Data Visualization Tool
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Ocean View Data Visualization Tool

The Ocean View Data Visualization Tool is an interactive, online, data-display tool ... (more)

The Ocean View Data Visualization Tool is an interactive, online, data-display tool that helps students understand real-world environmental problems using advanced technology and inquiry. (less)

Subject:
Science and Technology
Chemistry
Material Type:
Activities and Labs
Data
Instructional Material
Simulations
Student Guide
Provider:
iLumina
Provider Set:
iLumina Digital Library
Author:
Dr. Richard Huber
Fowler Lauren Marie
Lea Bullard
Valios Kevin
The Beauty of Data Visualization
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The Beauty of Data Visualization

David McCandless turns complex data sets (like worldwide military spending, media buzz, ... (more)

David McCandless turns complex data sets (like worldwide military spending, media buzz, Facebook status updates) into beautiful, simple diagrams that tease out unseen patterns and connections. Good design, he suggests, is the best way to navigate information glut -- and it may just change the way we see the world. A quiz, thought provoking question, and links for further study are provided to create a lesson around the 18-minute video. Educators may use the platform to easily "Flip" or create their own lesson for use with their students of any age or level. (less)

Subject:
Mathematics and Statistics
Social Sciences
Material Type:
Video Lectures
Provider:
TED-Ed
Provider Set:
TED-Ed
Author:
McCandless, David
Data Quality Out of Range Values PowerPoint
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Data Quality Out of Range Values PowerPoint

Defines what Out of Range Values are and how to account for ... (more)

Defines what Out of Range Values are and how to account for them in data collection and statistical analysis.Competencies/Skills that HIBB Addresses: Understand how to minimize out of range values when creating new data sets. (less)

Subject:
Science and Technology
Material Type:
Textbooks
Provider:
Global Health Informatics Partnership (GHIP)
Provider Set:
OER Africa
Author:
Beverly Musick
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