- Shelley's Mathematics Articles - Shelley Walsh
"Little self-contained articles [that] write up more than you can normally fit in a lecture, and ... hopefully put together enough explanation so that there's something for a great variety of different ways of thinking." Organized into Geometry; Analytic
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- Sieve of Eratosthenes - Program in C
A class assignment for Mathematics 216: Introduction to Mathematical Computation (with C) at the Univ. of Utah. The new part of the C language learned was the array. Problems: Design a program to make a list of primes less than N = 100 using Eratosthenes'
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- Some Materials for Discrete Mathematics - E. Lee Lady, University of Hawaii
Files in PDF, DVI, and Postscript format. Contents include: an algorithm for solving linear Diophantine equations, the Chinese remainder theorem, mathematical induction and recursive algorithms, Change of base to Cantor representation, Dijkstra's algorithm
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- Some Materials for the Graduate Algebra Course - E. Lee Lady; University of Hawaii
Syllabus, course notes, and various proofs, in PDF, PostScript and dvi format. The course assumes that students know about groups, rings, and vector spaces, and covers all the topics in algebra commonly used by analysts and topologists, such as commutative
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- Steve Fulling's Home Page - Stephen A. Fulling
Courses in Foundation Coalition Freshman Calculus, linearity, and other subjects offer objectives, assignments, solutions and reports, exams, and supporting documentation such as books (.pdf, .ps, and .dvi formats). The site also includes access to the
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- Stochastic Calculus Notes - Alan Bain
A complete elementary introduction to stochastic integration with respect to continuous semimartingales. Download in postscript, DVI, or PDF format.
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- Study Guide for the Advanced Placement Calculus AB Examination - Elaine Cheong
A study guide written to assist students in preparing for the Advanced Placement Calculus AB Exam. Introduction explains the scoring of grades on a scale of 1 to 5. Topics of study include elementary functions, limits, differential calculus, and integral
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- Stuff About Modelling - Lester F. Caudill, Jr., Univ. of Richmond, Virginia
Download a PDF of this informal introductory text for the author's course in Continuous Mathematical Models, including refreshers on single and multivariable calculus, linear algebra, and differential equations.
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- A Teacher In-Service Course on Technology - Carl R. Spitznagel, John Carroll University; The Math Forum
As part of an in-service Master of Arts program for high school mathematics teachers, John Carroll University offers a course titled "Technology in the Teaching of Mathematics." In its most recent offering, this course dealt with the TI-82 calculator,
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- Time-Critical Decision Making for Economics and Finance - Prof. Hossein Arsham; University of Baltimore
This site is intended to help students learn and manage the uncertainty by
using effective forecasting techniques.
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- Topics in Arithmetic and Elementary Mathematics - E. Lee Lady; University of Hawaii
Materials used in a university course for prospective elementary school teachers, to teach them how to be interested in mathematics. Materials are in PDF and DVI, and include: representing numbers in other bases, divisibility tests, periodic decimal expansions,
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- Topics in Calculus - Alan Cooper, Dept. of Mathematics & Statistics, Langara College
Calculus resources for college students: a topic-by-topic guide to Web-based materials. Topics include: Precalculus review; limits and continuity; derivatives; approximation; antiderivatives; integration; infinite series; parametric equations; polar coordinates;
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- Topics in Precalculus - Alan Cooper, Dept. of Mathematics & Statistics, Langara College
Pre-calculus resources for college students: a topic-by-topic guide to Web-based materials. Topics include: The Real Numbers; Cartesian Coordinates; Relations and Functions; Linear Functions; Quadratic Functions; Polynomials; Rational Functions; Radicals
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- Tous pour les mathématiques au collège - David Monbru
Courses mathématiques de niveaux sixième, cinquième, quatrième, et troisième. Exercises avec auto-validation incluent calculs avec ou sans parenthèses; calculs de fractions; opérations sur les nombres relatifs;
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- Trigonometric Integrals - David Hart
An HTML version of a Maple worksheet used as an alternative to transparencies in a Calculus class lesson at Indiana University. How do you integrate the trigonometric functions? Includes discussion, formulae, diagrams, and exercises.
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- UBC Calculus Online: Supplement to Math 101 - Dept. of Mathematics, University of British Columbia, Vancouver, BC, Canada
An online supplement to mathematics courses being taught within the University of British Columbia Department of Mathematics. Course notes (Definite Integrals and the Fundamental Theorem of Calculus; Applications of the Definite Integral; Techniques for
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- Unification of System of Linear Equations, Matrix Inversion, and Linear Programming - Prof. Hossein Arsham; University of Baltimore
Remarks on unification of systems of equations, matrix inversion, and linear programming, that is, the links between these topics. Includes references and further reading.
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- Using Virtual Manipulatives on the Web to Develop Number Sense - Margo Lynn Mankus
Java applets, activities, hand-made manipulatives, and links related to the topic.
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- Vector Calculus - Carlen, Herod, Harrell; Georgia Tech
Maple- and Mathematica-based lecture notes; also class notes covering material throughout the course, including interactive Java applets. Mathematics addressed includes: iterated integrals; Theorem of Pappus; integration of polar coordinates; tangent
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- Visual Calculus (Mathematics Archives) - Larry Husch; University of Tennessee, Knoxville (UTK)
A collection of notes that give some ideas how technology, in particular computers, can be used in the teaching of calculus. Detailed instructions on implementing these ideas with various public domain, shareware and commercial software packages are provided.
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- Wolfram Research in Precollege Education - Wolfram Research
"In the Classroom" highlights how some schools and organizations use Mathematica extensively in their curricula. The section on "Collaborative Initiatives" illustrates how businesses have teamed up with Wolfram Research to sponsor hands-on workshops,
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- Writing Assignments in Calculus - Tommy Ratliff; Dept. of Mathematics & Statistics, Wheaton College, Norton, MA
Imaginative paper proposals for Single-Variable and Multivariable Calculus courses cover subjects from "Confusion in Beverly Hills" (geometry, trigonometry) to "The X-Files Makes Me So Angry" (optimization of a function of two variables) - and many more.
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The Math Forum is a research and educational enterprise of the Drexel University School of Education.