This site consists of an interactive textbook in introductory Real Analysis (sometimes called Advanced Calculus) of one variable. The site comes in two navigational versions: the original HTML hyperlinked navigation and the newer Java applet navigation. The latter allows quicker and easier access to the text, plus it provides a full text search capability. Topics covered include sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), and topology. The site contains brief biographies of people important in the development of Real Analysis. There is also a collection of Java-applet tools: sequence and function plotters, a root finder, etc.
Type of Material:
Reference and tutorial.
Student reference, primarily, but also could serve as a refresher course or tutorial.
Java plug-in 1.2 or higher is required for the newer Java-applet navigational site.
Identify Major Learning Goals:
This site provides additional instruction in introductory Real Analysis. Its interactive examples and java-applet tools allow students to reinforce and refresh their understanding of the topics covered.
Target Student Population:
Students taking a course in introductory Real Analysis.
Prerequisite Knowledge or Skills:
A thorough knowledge of College Algebra should suffice for the use of this site. However, a complete Calculus sequence is recommended.
A major strength of this sites content lies in its many interactive examples. These examples are actually practice exercises that students can attempt on their own before clicking on a button that takes them to a detailed solution. The notes on historical figures and the eight Java-applet tools round out an online text that should be highly useful to students who are looking for reference material or who are perhaps seeking a refresher course in this subject area. The author is commended for providing one of the rare instances of interactive Real Analysis on the Web.
The sequence of topics makes it difficult to use this interactive textbook in a linear, rather than a hyper-referenced way. For example, the section on series of numbers precedes differentiation and integral sections, yet requires the knowledge of integration for the convergence integral test, etc.
Potential Effectiveness as a Teaching Tool
This online text provides a gradual and elementary introduction to the rather complex topic of integration theory. The interactive examples are interspersed in a brief and to-the-point text, a presentation style that should increase the sites usefulness as a student reference/refresher. The intent with the interactive examples is that the student should attempt to work the exercises presented in the examples before clicking on the solution button. This reinforces the basic precept that the only effective way to learn mathematics is by doing mathematics. The Java-applet tools are well chosen to reinforce and supplement the topics covered. The hyper-referenced glossary is extremely helpful if the site is used as reference material.
In its current state, the site is unlikely to be used as a textbook for a course in Introductory Real Analysis, but it certainly makes an excellent tutorial supplement.
Chapters 8, 9, and 10 are not finished yet but hopefully will be completed in the near future.
Ease of Use for Both Students and Faculty
This learning resource, especially the newer Java-applet version, is highly navigable. The Java-applet tools are easy to use, and they seem to work flawlessly.
The topics are well organized and all the key concepts are properly emphasized.
Search by ISBN?
It looks like you have entered an ISBN number. Would you like to search using what you have
entered as an ISBN number?
Searching for Members?
You entered an email address. Would you like to search for members? Click Yes to continue. If no, materials will be displayed first. You can refine your search with the options on the left of the results page.