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4434Mathematics Tutorials and Problems (with applets)
http://www.merlot.org/merlot/viewMaterial.htm?id=317524
Quoted from the site: [This site contains...] "Free mathematics tutorials to help you explore and gain deep understanding of math topics." The math topics covered include 1) Precalculus Tutorials 2) Calculus Tutorials and Problems 3) Geometry Tutorials and Problems 3) Trigonometry Tutorials and Problems for Self Tests 4) Elementary statistics and probability tutorials 5) Applications of mathematics in physics and engineering. And much more, including many applets.Interactive Mathematics
http://www.merlot.org/merlot/viewMaterial.htm?id=82036
This site can be used equally well for demonstration materials in lectures and for tutorial purposes. Topics range from basic algebra through first-year calculus. Solved exercises throughout make the site especially appropriate for individual study. Interactive elements are added using LiveMath and Macromedia Flash.Calculus Tutorials and Problems
http://www.merlot.org/merlot/viewMaterial.htm?id=322660
This subsite of Mathematics Tutorials and Problems (with applets) is divided into Interactive Tutorials, Calculus Problems, and Calculus Questions, Answers and Solutions. Here the user will find applets with guided exercises and many examples and worked out problems applicable to the first year of Calculus.COW -- Calculus on the Web
http://www.merlot.org/merlot/viewMaterial.htm?id=83836
This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered.Discrete Math Resources
http://www.merlot.org/merlot/viewMaterial.htm?id=363275
This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by Doug Ensley and Winston Crawley. Requires Adobe Flash player.Introduction to Calculus Applets
http://www.merlot.org/merlot/viewMaterial.htm?id=343859
This site consists of several dozen applets, each pertaining to a different aspect of single variable Calculus. Topics covered range from continuity and limits to differential equations and infinite series. Each applet is on a separate page that also includes detailed explanations of the concept under review along with suggestions for student experimentation with the applet. Each applet can be opened in a resizable window for better viewing as a classroom demonstration.Population Modeling Applet
http://www.merlot.org/merlot/viewMaterial.htm?id=314085
In this applet, the user applies Euler's Method to modeling population growth using the Malthus exponential model and the Verhulst constrained growth model. After finding the Euler solution, the user can check the solution with the Adaptive Euler Approximation or with a slope field. Also, the user can enter an exact solution obtained from separating variables (or whatever) and again check the Euler solution graphically.Interactive Real Analysis
http://www.merlot.org/merlot/viewMaterial.htm?id=85542
Quoted from the site: "Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. It deals with sets, sequences, series, continuity, differentiability, integrability (Riemann and Lebesgue), topology, and more.״Functions Defined by Series
http://www.merlot.org/merlot/viewMaterial.htm?id=249164
This applet is a sub-site of the Math Applets for Calculus at SLU site. This applet is designed for the visual exploration of functions defined as a sum over k of terms in x. The user can also enter and plot another function: for example, the limit function of the series when it can be expressed in closed form.Escher and the Droste Effect
http://www.merlot.org/merlot/viewMaterial.htm?id=83200
The goal of this site is to visualize the mathematical structure behind M.C. Escher's picture called "Print Gallery" (1956). The visualization itself is largely non-mathematical and is accomplished through many still images and animations. The actual mathematics, involving conformal mappings of the complex plane, is contained in a pdf copy of the original AMS publication. The Droste Effect refers to any image that contains itself on a smaller scale.