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Top rated MERLOT materialsCopyright (C) 2018 MERLOT Some Rights ReservedThu, 07 Aug 2014 00:18:38 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
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-1-1The Math Forum - Internet Mathematics Library
https://www.merlot.org/merlot/viewMaterial.htm?id=89910
<p>A huge list of resources in various topics of mathematics and math education.</p>Tue, 08 Aug 2000 07:00:00 GMTThe Math Forum Swarthmore CollegeA Complex Function Viewer
https://www.merlot.org/merlot/viewMaterial.htm?id=82940
This Java applet allows the user to visualize certain functions of complex variable. The functions considered are complex sine, cosine, and exponential function.Sun, 09 Jan 2005 08:00:00 GMTKeith Orpen and Djun M. Kim University of British ColumbiaAddition and Subtraction Fun!
https://www.merlot.org/merlot/viewMaterial.htm?id=552444
<p>This PowerPoint kiosk provides students with an opportunity to practice their math skills in an exciting method that will, at the same time, increase their skill sets. Drill and practice is one instructional strategy that will be used during the kiosk. The learners will be given number sentences with picture representations to assist with determining a solution. Another instructional strategy that will be utilized is the problem solving strategy. Students will be presented with addition or subtraction story problems that will require them to define and analyze the problem and then establish a solution. This is a Stand Alone Instructional Resource that can be utilized for centers, small groups, or a whole class activity.</p>Sun, 05 Jun 2011 19:31:49 GMTStephanie ScofieldNational Curve Bank
https://www.merlot.org/merlot/viewMaterial.htm?id=83882
A collection of links to sites that discuss famous curves, as well as a wealth of other mathematical topics. Most are a mix of math, history, and computer graphics. Source code is usually available.Tue, 31 May 2005 07:00:00 GMTShirley Gray and Stewart Vent UCLAScientific Resources
https://www.merlot.org/merlot/viewMaterial.htm?id=79527
Large collection of scientific resources about statistics (descriptive statistics, testing, and continuous distributions), econometrics, and time series analysis.Tue, 10 Jun 2003 07:00:00 GMTBorghers and WessaInteractive Real Analysis
https://www.merlot.org/merlot/viewMaterial.htm?id=85542
<p>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."</p>Thu, 05 Jan 2006 08:00:00 GMTWachsmuth, Bert G. Seton Hall UniversityMath Demonstrations
https://www.merlot.org/merlot/viewMaterial.htm?id=78064
<p>A compilation of hard-to-envision topics designed for classroom demonstration. Topics range from simple to complex. Includes: contours, total differential, unit circle and relation to trig fcns, covariant and contravariant coor systems, convolution. More will be added to this site.</p>Wed, 06 Nov 2002 08:00:00 GMTCecilia Barnbaum Valdosta State University18.100A Introduction to Analysis (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884726
Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication.Thu, 07 Aug 2014 00:18:00 GMTProf. Arthur Mattuck18.100C Real Analysis (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884738
This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts and teaches an understanding and construction of proofs. MIT students may choose to take one of three versions of Real Analysis; this version offers three additional units of credit for instruction and practice in written and oral presentation.The three options for 18.100:Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible.Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology.Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication. This fulfills the MIT CI requirement. Thu, 07 Aug 2014 00:18:16 GMTProf. Paul Seidel2.092 Finite Element Analysis of Solids and Fluids I (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884352
This course introduces finite element methods for the analysis of solid, structural, fluid, field, and heat transfer problems. Steady-state, transient, and dynamic conditions are considered. Finite element methods and solution procedures for linear and nonlinear analyses are presented using largely physical arguments. The homework and a term project (for graduate students) involve use of the general purpose finite element analysis program ADINA. Applications include finite element analyses, modeling of problems, and interpretation of numerical results.Thu, 07 Aug 2014 00:10:30 GMTProf. Klaus-Jürgen Bathe2.094 Finite Element Analysis of Solids and Fluids II (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884759
This course presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions. The governing continuum mechanics equations, conservation laws, virtual work, and variational principles are used to establish effective finite element discretizations and the stability, accuracy, and convergence are discussed. The homework and the student-selected term project using the general-purpose finite element analysis program ADINA are important parts of the course.Thu, 07 Aug 2014 00:18:38 GMTProf. Klaus-Jürgen Bathe6.253 Convex Analysis and Optimization (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884462
This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is to develop the core analytical and algorithmic issues of continuous optimization, duality, and saddle point theory using a handful of unifying principles that can be easily visualized and readily understood.Thu, 07 Aug 2014 00:12:35 GMTProf. Dimitri BertsekasA Short Course in Information Theory
https://www.merlot.org/merlot/viewMaterial.htm?id=89011
A Short Course in Information Theory.Tue, 08 May 2001 07:00:00 GMTDavid J.C. MacKay Cavendish Laboratory, CambridgeBasic Analysis: Introduction to Real Analysis
https://www.merlot.org/merlot/viewMaterial.htm?id=800937
<p>'<span>This free online textbook (e-book in webspeak) is a one semester course in basic analysis. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). A prerequisite for the course is a basic proof course. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school, but also as a first semester of a more advanced course that also covers topics such as metric spaces.'</span></p>Mon, 14 Oct 2013 20:26:29 GMTJirí LeblEscher and the Droste Effect
https://www.merlot.org/merlot/viewMaterial.htm?id=83200
<p>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.</p>Mon, 28 Feb 2005 08:00:00 GMTLenstra, Hendrik W., and de Smit, Bart Mathematisch Instituut, Universiteit LeidenFourier Transform
https://www.merlot.org/merlot/viewMaterial.htm?id=91098
This is a simple demonstration of the Fourier transform (diffraction pattern) of a point set. This program produces black/white or color PostScript output. The source code is provided with the package. This DEMO program is similar to the one that Marjorie Senechal shows in her book Quasicrystals and Geometry. It is possible to give scale factors for the intensity and for the input data to produce different graphics output. You may also choose between kinematical or dynamical intensity distribution. For input you only need an input file with the x- and y-coordinates of a point set.Sat, 29 Jul 2000 07:00:00 GMTSteffen WeberFourier: Making Waves
https://www.merlot.org/merlot/viewMaterial.htm?id=85116
<p>An interactive simulation designed to help students understand fourier series. Includes a discrete-only module and a module that illustrates the transition from discrete to continuous transforms. A wave game module in which students try to match a given waveform is also included.</p>Mon, 14 Nov 2005 08:00:00 GMTThe PheT project University of ColoradoGraphics for Complex Analysis
https://www.merlot.org/merlot/viewMaterial.htm?id=89786
<p>A large set of animations designed to display fundamental and specialized topics in complex analysis.</p>Thu, 19 Jul 2001 07:00:00 GMTDouglas Arnold Institute for Mathematics and Its ApplicationsJFourier1
https://www.merlot.org/merlot/viewMaterial.htm?id=91101
From the directions: "Click new motif to start drawing a new point set. Then select one of the colors, which correspond to different scattering strengths (1-9) and click on the left canvas to position your points. Then click Fourier transform to calculate the discrete Fourier transform of that point set."Sat, 29 Jul 2000 07:00:00 GMTSteffen WeberJFourier2
https://www.merlot.org/merlot/viewMaterial.htm?id=91081
This applet calculates Fourier transforms (FT) of a given pointset. The pointset is generated by the plane space groups (see Project 22). You may transform all points or only one unit cell. Similar to JFourier3 by the same author, except for periodic (not quasiperiodic) point sets.Sat, 29 Jul 2000 07:00:00 GMTSteffen WeberJFourier3
https://www.merlot.org/merlot/viewMaterial.htm?id=91066
A utility for calculating, and imaging, the Fourier transform of periodic, and quasi-periodic, surfaces.Sat, 29 Jul 2000 07:00:00 GMTSteffen WeberMathematical Programming Glossary
https://www.merlot.org/merlot/viewMaterial.htm?id=80933
This contains terms specific to mathematical programming, and some terms from other disciplines, notably economics, computer science, and mathematics, that are directly related.Thu, 06 May 2004 07:00:00 GMTHarvey GreenbergMeaning of Multiplication of Complex Variables
https://www.merlot.org/merlot/viewMaterial.htm?id=79224
This applet gives a dynamic visualization of two complex numbers and their product. Both factors are represented as points that can be dragged. The product is computed from the two factors and adjusts as the factors are modified.Fri, 18 Apr 2003 07:00:00 GMTInternational Education Software International Education SoftwareMonberg Mathematics
https://www.merlot.org/merlot/viewMaterial.htm?id=85367
Monberg Mathematics is a compendium of statistics, Maple, applied mathematics, historical perspective, instruction and educational research. Do you have an area of inquiry? Write the author! This website is designed for student instruction, mathematical enrichment, instruction and professional enticement. It is a work in progress!Tue, 13 Dec 2005 08:00:00 GMTAlden Monberg Maine Maritime Academy