Theory of functions of a real variable
I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology. The elements of the topology of metrics spaces are presented (in the nature of a rapid review) in Chapter I. The course itself consists of two parts: 1) measure theory and integration, and 2) Hilbert space theory, especially the spectral theorem
GLOBE 1987 Global Patterns Poster
The purpose of the ESS activities associated with the GLOBE 1987 Global Patterns Poster is to help students understand the broader global context for local GLOBE measurements. Students discover patterns in global maps of environmental data, interpret those patterns, and draw conclusions and make predictions based on them; communicate those interpretations and predictions; and develop an understanding that the components of the Earth system interact. By completing this activity, students will gai
Business Processes and Information Technology
Business Processes and Information Technology prepares students to effectively use, manage, and participate in the development of information technology applications in support of common business processes. The text focuses on the interconnections among an organization’s management, business processes, information systems, and information technology. An emphasis is given throughout the text to the governance, control, and security of business processes and information systems, especially unde
General Physics I, Summer 2009
This course is the first of a two-part introductory general physics course intended for non-physics majors. Doing well in this course does not require you to be a “genius”, but you will have to think about the physical concepts in order to understand them and you will have to apply these ideas in order to solve computational problems. To accomplish the former, all you really need is your brain (in good working order) and the willingness to use it. To accomplish the latter, you will need s
General Physics II, Spring 2009
This course is the second of a two-part introductory, calculus based, general physics course intended for non-physics majors. The course is designated to train you in a wide variety of problem-solving skills that you will be able to transfer far beyond this physics course. Doing well in this course does not require you to be a “genius”, but you will have to think about the physical concepts in order to understand them and you will have to apply these ideas in order to solve computational p
DNA microarray analysis is one of the fastest-growing new technologies in the field of genetic research. Scientists are using DNA microarrays to investigate everything from cancer to pest control. Now you can do your own DNA microarray experiment! Here you will use a DNA microarray to investigate the differences between a healthy cell and a cancer cell.
Yet Another Calculus Text
I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such as Abraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures on the Hyperreals. Secondly, I have aime
Peirce And Fisher on the Place of Probability in Abductive Inference
In his analysis of inference into three types, deduction, induction, and abduction, C. S. Peirce maintains that probability plays an essential role in the first two, but not in the third. For a deductive argument, probability tells us the frequency with which the conclusion will hold given the premises; for an inductive argument, probability tells us the frequency with which the argument will hold true. However, probability has no role to play in abduction because there is, in Peirce's view, no
Vectors: Grade 10
Grade 10: Vectors. Are vectors physics? No, vectors themselves are not physics. Physics is just a description of the world around us. To describe something we need to use a language. The most common language used to describe physics is mathematics. Vectors form a very important part of the mathematical description of physics, so much so that it is absolutely essential to master the use of vectors.
CK-12 Trigonometry (CA Textbook)
This textbook covers topics such as Trigonometry and Right Angles, Circular Functions, Trigonometric Identities, Inverse Functions, Trigonometric Equations, Triangles and Vectors, as well as Polar Equations and Complex Numbers. It can also be used in conjunction with other directed courses in Mathematical Analysis or Linear Algebra as a full course in Precalculus. This digital textbook was reviewed for its alignment with California content standards.
Evaluating Financial Performance
This course provides a clear and concise overview of specific ratios that are used to measure financial performance. Performance areas covered include liquidity, asset management, profitability, leverage, market value ratios, and comparative analysis. The objective of the course is to provide the user with ratios that can be useful in measuring and monitoring financial performance in conjunction with a set of financial statements. Course Level: Beginner - The course is designed for persons with
Capital Budgeting Analysis
This course is designed for users with a working knowledge of capital budgeting who want to improve their current practices. The course focuses on three stages of capital budgeting analysis. The purpose of the course is to introduce new concepts and ideas that will improve capital budgeting; such as option pricing and post audit analysis. Course Level: Intermediate and Advanced - Since this course goes beyond traditional capital budgeting analysis, it is recommended that users have an understand
Mergers and Acquisitions (Part 2)
This course is the second part of a two part course covering the merger and acquisition process. Part 2 describes valuation concepts, financial analysis, the valuation process, post merger integration, and anti-takeover defenses. The purpose of the course is to provide the user with a solid understanding of how the merger and acquisition process works. Course Level: Advanced - This course deals with advanced topics in finance and the user should have a solid understanding of cost of capital, for
Investigating Community Preparedness
This exercise is appropriate for high school, and some middle school students. It allows the students to look at how their community is preparing for possible disasters and then allows a simulation that demonstrate how difficult handling disasters can be. The exercise involves such skills as: planning, interviewing, writing, public speaking and analysis and problem solving.
Earth Exploration Toolbook Chapter: Analyzing the Antarctic Ozone Hole
Users download and analyze satellite images showing the amount of ozone in the stratosphere. They interpret the images to identify the ozone "hole" that develops over Antarctica each summer, and compare its size from year to year. Using freely available image analysis software, ImageJ, users quantify the area of the Antarctic ozone hole each October from 1996 to 2004. Finally, they bring their measurements into a spreadsheet program and create a graph to document changes in the size of the ozone
Earth Exploration Toolbook Chapter: Measuring Distance and Area in Satellite Images
Users download and analyze MODIS imagery from 2001 and 2003 to quantify the shrinking of the Aral Sea. The chapter steps users through downloading, installing, and measuring with ImageJ, a freely available image analysis program. Users employ the software to set the spatial calibration of an image, then select and measure distances directly from the image. Measurement results are reported in real-world units. Users also select, measure, and compare the area covered by the sea in three time-serie
Earth Exploration Toolbook
The purpose of the Earth Exploration Toolbook is to support the use of scientific datasets, tools, and other products by the broader educational community. The Toolbook provides a collection of earth science datasets and scientific tools along with educational applications of the datasets. Each chapter in the Toolbook presents the specific datasets needed for the exercise, the analysis or visualization tools, clear instructions to the educator who would be using the dataset, and step-by-step ins
Linkage Mapping a Mutation in Arabidopsis
Since Alfred Sturtevant constructed the first genetic map of a Drosophilachromosome in 1913, new mutations have been mapped using his method of linkage analysis. Determining the map position of a new mutation -- and its corresponding gene -- consists of testing for linkage with a number of previously mapped genes or DNA markers. Linkage is the principle that the closer two genes or markers are located to one another on a chromosome, the greater the chance that they will be inherited together as
Herschel Infrared Experiment
Students perform a version of the 1800 experiment in which a form of radiation other than visible light was discovered by the famous astronomer Sir Frederick William Herschel.
Data Analysis of Socio-Economic Status
The purpose of this assignment is to apply what you have learned in this course regarding the consequences of marginalization to an analysis of actual Census data for the United States in the year 2000. For this assignment, we will explore the impact of racial affiliation and sex on social class, as represented by socio-economic status (SES): level of education, occupation and income.