Basic Analysis: Introduction to Real Analysis
This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course woul
SkyMath: Mathematics for a Blue Planet
SkyMath is a set of middle school mathematics modules incorporating weather data. The modules require teachers and students to acquire and use current environmental and real-time weather data in ways that embrace the dynamic and uncertain natures of these data, in order to promote the teaching and learning of significant mathematics, consistent with the standards set by the National Council of Teachers of Mathematics. The module includes 16 activities and can be incorporated as a replacement uni
Action Research for Educational, Professional, and Personal Change, Fall 2007
This course covers techniques for and critical thinking about the evaluation of changes in educational practices and policies in schools, organizations, and informal contexts. Topics include quantitative and qualitative methods for design and analysis, participatory design of practices and policies, institutional learning, the wider reception or discounting of evaluations, and selected case studies, including those arising from semester-long student projects.
US Patent and Trademark Kids Pages
This site invites kids to learn about inventors and intellectual property -- patents, trademarks, copyrights and trade secrets. Kids can take a patent trivia quiz, read fun facts, and learn how to apply for a patent for their own inventions.
Agricultural Science and Policy I
Highlights of this course include: Major biological, chemical and physical components of the agricultural systems The scientific basis for understanding these systems and their management How has science influenced policies related to agriculture, food safety and environment in the United States? How have the policies evolved over time in the US? What has worked and what has not; what are the reasons and what are the consequences? Beyond science, what other factors influence policies? How do we
Agricultural Science and Policy II
Highlights of this course include: Major biological, chemical, and physical components of the agricultural systems The scientific basis for understanding these systems and their management How science has influenced policies related to agriculture, food safety, and the environment in the United States How the policies have evolved over time in the US What has worked and what has not; the reasons and the consequences What other factors influence policies beyond science How we link what we learn t
Contemporary Biosocial Problems in America
Part of Tufts overall mission is to emphasize citizenship and public service. This course starts with the premise that understanding the social uses and misuses of biological knowledge is of particular importance for future health professionals and scientists. Specifically, developing skills in critical thinking and analysis of arguments is crucial if we are to deal rationally with value-laden and controversial topics at the intersection of biology and society.
Policy Analysis of Multi-Actor Systems
This course is about solving complex problems. Our favorite problems are not just technically complex but also characterized by the presence of many different social actors that hold conflicting interests, objectives, and perceptions and act strategically to get the best out of a problem situation. This course offers guidance for policy analysts who want to assess if and how their analysis could be of help, based on the premise that problem formulation is the cornerstone in addressing complex pr
Intelligent User Experience Engineering
The course Intelligent User eXperience Engineering (IUXE) is given for the master programme 'Media and Knowledge Engineering' and for students from other master programmes. The aim is to achieve an understanding and practical experience of key principles, methods and theories in the area of intelligent user experience engineering. Study Goals: Knowledge of a basic, coherent approach for developing software systems in such a way that the systems' users can accomplish their goals effectively and e
Dimensional Analysis
Dimensional analysis allows us to change the units used to express a value. For instance, it allows us to convert between volume expressed in liters and volume expressed in gallons. The following video gives a brief overview of dimensional analysis, including conversion between the amount of a substance expressed in "number of molecules" and the amount of a substance expressed in "moles of molecules."
Finding the Empirical Formula from a Molecular Formula
Elemental analysis is a useful qualitative analysis technique since it allows us to check if a sample is consistent with a given molecular formula. For instance, suppose we believe our sample is benzene (C6H6). We can compare the following:The empirical formula (CH) obtained from the molecular formula of benzene (C6H6); The empirical formula obtained from a elemental analysis of the sample. If the two empirical formulae do not agree, then the sample is not benzene. If the formulae agree, then ou
Finding Empirical Formula from an Elementary Analysis
On another page, we discuss how to obtain the empirical formula from a given molecular formula. Here, we consider how to obtain the empirical formula from an elemental analysis of a sample. Remember that comparing the empirical formula obtained from an elemental analysis with that from a molecular formula tells us if the sample is consistent with the molecular formula.
Introduction to Vectors and Tensors, Vol. 2, Vector and Tensor Analysis
Introduction to Vectors and Tensors, Vol. 2, Vector and Tensor Analysis is a typed revision of the book originally published by Plenum Press in 1976 as Volume 2 in their series on Mathematical Concepts and Methods in Science and Engineering, edited by Angelo Miele. PDF File.
Online Science-athon: Catching Sunshine
The Online Science-athon offers elementary and middle-grade students opportunities to discover the science in their daily lives. Presented as challenges, the Science-athon asks students to investigate their world in ways that are engaging and fun, easy for teachers to incorporate into their teaching, and instructive. Students doing Catching Sunshine decide on a container -- tin can, cardboard box, plastic bucket, paper bag, or similar object -- to use as a solar collector. Then they determine ho
Online Science-athon: How Tall Am I?
The Online Science-athon offers elementary and middle-grade students opportunities to discover the science in their daily lives. Presented as challenges, the Science-athon asks students to investigate their world in ways that are engaging and fun, easy for teachers to incorporate into their teaching, and instructive. Students participating in How Tall Am I? create a way to measure their height as accurately as possible. On Measuring Day students collect and record data and share it with other st
Online Science-athon: The Marble Roll
The Online Science-athon offers elementary and middle-grade students opportunities to discover the science in their daily lives. Presented as challenges, the Science-athon asks students to investigate their world in ways that are engaging and fun, easy for teachers to incorporate into their teaching, and instructive. Students doing the Marble Roll select a strip of material that is 61 cm (24 inches) in length to use as a ramp. Then they determine how to maximize the distance their marble rolls a
A First Course in Complex Analysis
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton. For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular, series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series are introduced very late in the course.
Slavery in North Carolina
North Carolina, like other Southern states, relied on slavery to build its economy during the 18th and 19th centuries. Slaves across the state raised crops, did domestic chores, constructed new buildings, sailed ships, and performed countless other jobs, all for no pay. The slave trade separated many families, and punishment and violence were all too common. Despite the extreme hardship of slavery, enslaved blacks in North Carolina created a strong culture that combined their experiences as slav
Cotton Mills Seen through Differing Perspectives: Critical Analysis of Primary Documents
In this lesson, students will read two primary source documents from Documenting the American South, a digital library collection sponsored by the University Library at UNC. One document is Child Labor in the Carolinas, a pamphlet published in 1909 by the National Child Labor Committee exposing the use of child labor in the cotton mills of North Carolina. The other document is Mill News, a weekly newsletter about the Southern cotton industry which was paid for and published by the mill companies
Introduction to Computer Science: Programming Abstractions
This course is the natural successor to Programming Methodology and covers such advanced programming topics as recursion, algorithmic analysis, and data abstraction using the C++ programming language, which is similar to both C and Java. If you've taken the Computer Science AP exam and done well (scored 4 or 5) or earned a good grade in a college course, Programming Abstractions may be an appropriate course for you to start with, but often Programming Abstractions (Accelerated) is a better choic
