Mathematical analysis
This is a module framework. It can be viewed online or downloaded as a zip file. As taught in 2007-2008 and 2009-2010. This module introduces mathematical analysis building upon the experience of limits of sequences and properties of real numbers and on calculus. It includes limits and continuity of functions between Euclidean spaces, differentiation and integration. A variety of very important new concepts are introduced by investigating the properties of numerous examples, and developing t
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Mathematical language
In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this unit we examine ways in which language is adapted to express mathematical ideas.
Author(s): The Open University

8.7 Distance-time graphs: a mathematical story
Graphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions.
Author(s): The Open University

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Voice-leading analysis of music 3: the background
The music of Mozart has been used to examine the foreground and middleground of harmony in units AA314_1 and AA314_2. Now you will use Beethoven's Eighth Symphony to consider the largest-scale stage of voice-leading analysis.
Author(s): The Open University

Voice-leading analysis of music 1: the foreground
This unit introduces â€˜voice-leadingâ€™ or â€˜Schenkerianâ€™ analysis, perhaps the most widely-used and discussed method of analysing tonal music. In this unit, this method is explained through the analysis of piano sonatas by Mozart. The unit is the first in the AA314 series of three units on this form of harmonic analysis, and concentrates on the â€˜foreground levelâ€™ of voice leading. As you work through this unit, you will become familiar with five complete movements of Mozartâ€™s piano
Author(s): The Open University

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Introduction to Geographic Information Systems (GIS) for Urban and Environmental Analysis
GIS, a computer-based tool for storing, mapping, and analyzing spatial information together with non-spatial data, is very helpful when studying urban and environmental topics. This course focuses on introducing students to the use of geographic information systems in the urban/suburban/metropolitan environment. Students will learn to use GIS and how to frame spatial questions for research and teaching as well as gain technical expertise.
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A Personal Reflection Paper on the Importance of Self-Analysis of Communication and Listening Skills
In Summer 2007, a Virginia Tech Doctoral cohort completed EDAE 6924, School Community Partnerships. Here is a personal reflection authored by Stanley Jones.
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A Critical Analysis of Eric Roach's 'Corn'
This essay attempts to highlight and explore the key themes and concerns raised in Eric Roach's poem 'Corn'.In so doing,this also fosters a greater appreciation of the poet and his works in general.
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BBC Nature: Mega Tsunami - Landslide Analysis
Scientists test a theory on how a mega tsunami is made, and how it builds up enough momentum to wage war on a coastline.
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Quantitative data analysis using computer programs
With the classification and the understanding on various kinds of quantitative data, useful computer programs will be practiced for the efficient data processing. Statistical analysis, numerical analysis, data plotting will be given by using Excel, Origin, Powerpoint, VBA, OpenOffice, Google spreadsheet, Mathematica, wxMaxima, scilab and R programs for improving the presentation skill.
Author(s): kuocw

Applied Mathematical Economics
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Author(s): kuocw

A Problem Course in Mathematical Logic
A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is for the students, individually or in groups, to learn the material by solving the problems and proving the results for themselves. The book should do as the text for a course taught using the modified Mo
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Computational image analysis: from cells to tissues - Prof. Ioannis Kakadiaris
Principles of image analysis. Segmentation, edge detection, and feature extraction. Imaging tissue section images obtained by H&E staining, immuno-histochemistry, and multi-color FISH. Part of the Computer-Aided Discovery Methods course taught at Baylor College of Medicine.
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IELTS essay question analysis - What style of essay to write
Here is a brief video describing how to decide what style of essay to write based on what your essay question is requesting. (8:50)
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Data Analysis
InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. It focuses on building teachers' mathematical content knowledge through mathematical investigations that are supported by technology. InterMath includes a workshop component and materials to support instructors. For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictur
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Data Analysis and Probability Games
These activities support students as they conceptually develop a sense of how probability affects the outcome of games. Students will find that applying their knowledge of probability will help them win some of the games
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Data Analysis: One-Die Toss
Students need many experiences tossing one die, collecting data and analyzing that data to construct meaning for the probability of the different outcomes. Since a small student sample is often skewed, it is necessary for teachers to help students collate class data to better approximate the theoretical probability that the outcomes of tossing a single die are equally likely. The one-die games below motivate data collection opportunities that students will play again and again while generating l
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Data Analysis: Two-Dice Toss
Once students realize that the outcomes of tossing one die are equally likely, they sometimes transfer that knowledge to tossing two dice. This is a common misconception that is best addressed through data collection and analyzing that data rather than through telling. See suggested two-dice games below that students can play to gain experiential knowledge of the results of tossing two dice. Several of the games encourage students to develop better strategies in order to win and their growing un
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