 Abstract Algebra  Paul Garrett; Univ. of Minnesota
Exercises to download in PostScript or dvi format, designed to indicate what things should be considered first when studying abstract algebra. Lecture notes are available in PDF and PostScript forms at Intro to Abstract Algebra.
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 Academy123
From the creators of NutshellMath Homework Help. Prerecorded minilectures and ondemand homework help. Choose a major math textbook for tailored Flash chalkboard demonstrations that feature color ink strokes accompanied by a teacher's voice. Covered
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 Advanced Calculus and Analysis  Ian Craw; University of Aberdeen
Lecture notes and other material provided for a course taught by Ian Craw at the
University of Aberdeen: List of Figures; Introduction; Sequences; Monotone Convergence; Limits and Continuity; Differentiability; Infinite Series; Power Series; Bibliography.
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 Alexandru Suciu  Alexandru I. Suciu
Teaching resources such as quizzes, homework assignments, Mathematica solutions, qualifying exams, and syllabi for undergraduate courses in integral calculus, honors calculus, and linear algebra; and for graduate courses in geometry and topology. Also,
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 Algebraic Number Theory and Elliptic Curves  Ghitza, Osserman; Massachusetts Institute of Technology
A semesterlong seminar giving a rapid introduction to algebraic number theory and elliptic curves. Topics: Dedekind domains, rings of integers, schemetheoretic curves, finite morphisms thereof, splitting and ramification, the Tchebotarov density theorem
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 Andrew M.H. Alexander
JavaScript by Alexander includes "the gear seer," which shows not just bike gear ratios but gear inches and meters development. Input wheel and tire size to see speed at a given cadence. This bicycle drivetrain visualizer further compares different drivetrains,
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 Approximation Theory Network (ATNET)  Hans Joachim Schmid, Hans Strauss
Resources for the approximation theory community. Subscribe to a message group or read past bulletins. Includes a list of theses and relevant class notes (some linked or available for download), tables of contents from various journals, and an alphabetical
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 Apuntes  Andrés Coda; Universidad Nacional de Luján, Argentina
Calculus and applications, in Spanish. Maestría en Demografía Social  Matemática; Licenciatura en Educación Física  Introducción a la Matemática; Profesorado en Geografía  Elementos de Técnicas
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 Association for Symbolic Logic
The Association for Symbolic Logic (ASL) is an international organization supporting the presentation, publication, and critical discussion of scholarly work in the field of logic. Its current membership reflects the longstanding important role of logic
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 Basic Ideas in Greek Mathematics  Michael Fowler; University of Virginia
Lecture notes from a course entitled "Galileo and Einstein." Nailing down the square root of 2. Zeno's paradoxes: Achilles and the tortoise. Proving an arrow can never move  analyzing motion, the beginning of calculus. How Archimedes calculated Pi to
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 Basic Mathematics  Jetser Carasco
Short, instructive articles that explain fractions, ratio and proportion, number theory, basic geometry, graphs, decimals, percents, and some algebra. This site, created by a math major who has taught high school math since 2008, also offers free math
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 Brahmagupta's Formula  Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia
Problem: Develop a proof for Brahmagupta's Formula, which provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral inscribed in a circle) with sides of length a, b, c, and d as A = sqrt((sa)(sb)(sc)(sd)) where s is the semiperimeter
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 Brain Science & ICT in Mathematics Education  Dave Moursund
An exploration of three major topics from a math education point of view: Brain Science Craft & Science of Teaching & Learning (C&S of T&L) Information & Communications Technology (ICT). Read the author's thoughts on constructivism,
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 Calculus Animations and Lecture Notes  Kelly Liakos
Computer animations, labs, and graphics developed by a college teacher for use in classes from precalculus and trigonometry through the calculus sequence and elementary differential equations. Yearly subscription fee applies. Samples available on the
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 Calculus graphics  Douglas N. Arnold; Institute for Mathematics and its Applications
Excerpts from a collection of graphical demonstrations developed for a class in first year calculus in the McAllister Technology Classroom. Derivatives and differentials; Computing the volume of water in a tipped glass; Archimedes' calculation of pi;
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 Cédric Villani
For mathematicians, the 2010 Fields Medalist offers his publications, lecture notes for students, errata sheets, and his research into collisional kinetic theory (Boltzmann type), collisionless kinetic theory (Vlasov type), and optimal transport. "For
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 Chris Fenwick's mathematics education (selforganised readingtolearn) research and teaching page  Chris Fenwick
Research material on mathematics education, from the perspective of a teacher of Alevel mathematics students.
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 CIESEmath Project  Stevens Institute for Technology Center for Improved Engineering and Science Education
Outlines of ten units of Everyday Math and thirteen chapters of Transition Math, some with links to relevant Java applets and Geometer's Sketchpad sketches. The list of activities links to more interactive math tools, instructions, and handouts. A joint
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 The Classical Simplex Method  Prof. Hossein Arsham; University of Baltimore
A companion site to Arsham's Applied Management Science course. This introduces the simplex method for solving linear programming problems by first discussing the algebraic solution and pivoting row operations.
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 College Math Prep for High School Students  C. J. Kentler and V. S. Manoranjan, Washington State University
Selfscoring problems, new with every click, to gauge a student's preparedness for college level math: operations, solving for a variable, solving linear equations, word problems, solving absolute value equations, solving inequalities, distance between
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 College Physics for Students of Biology and Chemistry  Kenneth R. Koehler
A hypertextbook written for firstyear undergraduate physics students, emphasizing human physiology and how the physics of the system affects its chemical and biological behavior. Nine chapters, with problems, cover mechanics, fluids, electricity, magnetism,
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 Complete Analysis of the Binary GCD Algorithm  Brigitte Vallée, Université de Caen, France
Lecture notes (summary by Cyril Banderier). Introduction; A Ruelle Operator for a Tauberian Theorem; The Other Two Parameters; All Roads Lead to Rome; References. In English.
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 Computational Geometry Resources  School of Computer Science, Carleton Univ., Ottawa, Ontario, Canada
A comprehensive listing of computational geometry resources on the Internet, including: Indexes; Centres in North America, Europe, and Australasia; Literature; Newsgroups, FAQs, and Newsletters; Software libraries; and other miscellaneous sites.
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 Computational Statistics with Applications  Prof. Hossein Arsham; University of Baltimore
Presents statistical concepts and tests as they are applied and implemented on commercial software packages such as SPSS and SAS, along with some introductory data analysis routines.
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 ComputerBased Calculus  Przemyslaw Bogacki, Gordon Melrose; Old Dominion University
Archives of the ODU Calculus Project project, which has the goals of enhancing students' graphical and numerical understanding of calculus, and making the software/hardware aspect of the course as transparent as possible. With access to the preliminary
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 Contingency Analysis  Glyn Holton
Information on financial risk management, including value at risk, derivative instruments, credit risk and financial engineering. Discussion groups of risk management professionals; fundamentals, with an overview of enterprise risk management; research
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 Continued Fractions  David P. Stern
A short elementary exposition of continued fractions, without proofs. Students usually know that any number (e.g. pi) can be approximated to any desired accuracy by decimal fractions, but this method does the same using ordinary fractions. Examples include
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 Cours de Maths de Collège Pour les Professeurs  Jean Goujon
Les chapitres d'un cours de niveau sixième; et des progressions des niveaux sixième, cinquième, quatrième, et troisième.
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 A Course in Homological Algebra  E. Lee Lady; University of Hawaii
A collection of graduate course notes. Files are in PDF and DVI formats. Contents include: tor, flatness, and purity; syzygies, projective dimension and global dimension; Gorenstein rings and modules; Auslander's proof of Roiter's Theorem; and a list
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 Course Notes  J. S. Milne
Full course notes in dvi, pdf, and postscript formats for all the advanced courses J. S. Milne taught at the University of Michigan between 1986 and 1999: Group Theory; Fields and Galois Theory; Algebraic Number Theory; Class Field Theory; Modular Functions
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 Courses I Teach  John Cosgrave; St. Patrick's College, Dublin, Ireland
Lecture notes from three courses given at St Patrick's College, Dublin: Maple/Calculus/Analysis; Number Theory; Number Theory and Cryptography.
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 Cryptography  Corey Reed
An introduction to cryptography, in particular affine enciphering applied to the alphabet, focusing on the use of linear algebra. Includes a primer on bases and modulus algebra and extensions for deciphering an affine enciphered message, using keys to
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 Curriculum Development via Literary and Musical Forms  Joel K. Haack, Dept. of Mathematics, Univ. of Northern Iowa; the Math Forum
An article presented at the Humanistic Math session of the Joint Mathematics Meetings, January 1013, 1996, in Orlando, Florida. Haack's article discusses how the literary and musical forms can help develop a path through mathematical knowledge, envisioning
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 DA Information  David Hoffman
An introductory course in decision analysis, with lecture notes and instructions for projects.
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 David Eppstein's Teaching  David Eppstein
Archives of Information and Computer Science courses in computational statistics, computability, design and analysis of algorithms, computational geometry, game programming (Java versions of mancala, othello, and fanorona), graduate data structures, computational
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 David Sumner's Home Page  David Sumner
Study guides, exams, quizzes, problem sets, exam review materials, utilities, programs and simulations, syllabi, and other materials for courses such as calculus, sequences and series, graph theory, number theory and cryptography, and probability. The
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 Deterministic Modeling: Linear Optimization with Applications  Prof. Hossein Arsham; University of Baltimore
Mathematical modeling process for decision making, presented in the context of linear programming.
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 A Difference  Darren Kuropatwa
This Winnipeg precalculus teacher's blog serves to "... record and reflect on my personal evolution of how to integrate ... technologies into my teaching." Blog posts dating back March, 2005, include "Wikis As Assessment For Learning Tools" and "Great
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 A Different Kind of Multiplication  David P. Stern
Roman numerals were an improvement on older notation and useful for the abacus, but seemingly impractical for multiplication. Yet a multiplication method was developed, and is described here. The Romans did not understand why it worked, but we now realize
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 Don Knuth's Home Page  Donald E. Knuth, Stanford University
From the author of The Art of Computer Programming. "Computer Musings" chronologically documents Knuth's informal lectures at Stanford. It also links to Musings Online, digitized versions of videos from the lecture series that included Dancing Links;
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 Dr. Vogel's Gallery of Calculus Pathologies  Thomas I. Vogel; Dept. of Mathematics, Texas A&M University
In learning calculus, students develop intuitive ideas of such concepts as limit, continuity, differentiability, and so on, useful in dealing with simple examples, but potentially a hindrance to deeper understanding of the basic concepts of mathematical
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 Ecuaciones Diferenciales  Esteban Rios
How to solve differential equations, with examples, all in Spanish. Contents include: definiciones; método de separación de la variable; ordinarias lineales a coeficientes constantes de 2do grado y 2do miembro nulo; lineales de 2do orden a coeficientes
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 Elementary Computer Mathematics  Kenneth R. Koehler
An introduction to the mathematics used in the design of computer and network hardware and software. This hypertextbook's goal is to prepare the student for further coursework in such areas as hardware architecture, operating systems internals, application
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 Elementary Linear Algebra  Keith R. Matthews, Univ. of Queensland, Australia
Lecture notes, in PDF, which formed the basis for a textbook on the subject. Solutions to the problems are included separately.
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 Elementary Number Theory  Michael Filaseta; University of South Carolina
Lecture notes from a course taught in fall of 1997  class notes are available in postscript format. A graph compares Li(x), Pi(x), and x/log(x).
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 Elliptic Curves and Formal Groups  Lubin, Serre, Tate
Lecture notes from a seminar, part of the Lecture notes prepared in connection with the seminars held at the Summer Institute on Algebraic Geometry, Whitney Estate, Woods Hole, Massachusetts, July 6July 31, 1964.
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 Elliptic Curves II  Johan P. Hansen; Dept. of Mathematics, Ny Munkegade, Aarhus
Lecture notes in English and German, a continuation of the course: "Elliptic curves over Q and C," on modular forms and elliptic curves.
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 Environmental Issues: A Mathematical Modeling Approach  Jan Pearce, Mathematics and Computer Science Department, Berea College
Assignments, syllabus, and other classroom materials for this course that discusses the state of the planet. "Local and global issues such as air, land, and water pollution; energy production and consumption; forest, wetland and other resource management;
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 Examples of Essays  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Extended Concurrencies of the Triangle, J. Wilson; Parabolas Inscribed in a Triangle, G. Giddings; Polygonal Spirals, L. Shook and M. Callinan; Roots 2 and 5, J. Wilson; Those Amazing Palindromes, Shareef Bacchus; Tangrams, Greg Huberty; Phi: That Golden
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 Excel For Introductory Statistical Analysis  Prof. Hossein Arsham; University of Baltimore
An introduction to the basics of Excel and how to use it for statistical analysis.
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