The Math Forum @ Drexel University
The Math Forum Is The Leading Online Resource For Improving Math Learning, Teaching, And Communication Since 1992.
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The Math Forum Internet Mathematics Library
Search and Browse the Library: (1) Mathematics Topics:
Algebra, Analysis, Arithmetic/Early Math, Calculus (Single Variable), Calculus (Multivariable), Communicating Math, Differential Equations, Discrete Math, Dynamical Systems (Chaos, Fractals...), Geometry, History and Biography, Logic/Foundations, Number Theory, Numerical Analysis, Operations Research, Pre-Calculus (Functions, Inequalities, Trigonometry), Probability/Statistics, Topology, Applications/ Connections (Business, Computer Science, Engineering, Humanities, Sciences, Social Sciences, Sports...).
(2) Resource Types: Educational Materials (Audiovisuals, Calculators, Courses, Games, Manipulatives, Lesson Plans, Problems/Puzzles, Textbooks...), Net-Based Resources (Internet-based Projects, Link Listings/Web Databases...), Organizations, Publications, Recreations, Reference Sources (Bibliographies, Dictionaries, Glossaries...), Software.
(3) Mathematics Education Topics: Teaching Issues/Strategies (Assessment, General Programs, Methods/Activities, Special Contexts, Teaching Styles, Technology in Education...), Professional Ed/Career Development, Math Ed Research/ Reform (Standards...), Social Issues/Public policy (Equity, Public Understanding...). (4) Education Levels: Elementary, Middle School (6-8), High School (9-12), College, Research.
The Math Forum - Math Library - Full Table of Contents
(A) The Math Forum - Math Library - Math Topics
(1) Algebra: Basic Algebra (Equations, Graphing Equations.), Polynomials, Linear Algebra (Eigenvectors/ values, Matrices, Systems of Lin. Eq., Vectors, Modern Algebra (Cat. Theory/ Homolgcl Alg., Fields, Group Theory, K-Theory, Nonassoc. Rings/Algs., Rings / Ideals.), Multilinear Algebra. (2) Analysis: Abst. Harmnc Analysis, Approximtn/Expnsn, Calc. of Variatns, Complex Analysis, Fourier/Wavelets, Functional Analysis, Global Analysis/Anal..., Integral Equations, Integ. Transfms/Op. Calc., Maniflds/Cell Complxs, Measure/ Integration, Potential Theory, Real Analysis, Sev. Comp. Vars. (3) Arithmetic/Early: Basic Operations (Addition, Division, Multiplication, Subtraction.), Estimation, Exponents/Roots, Factorials, Fractns/Decmls/Prcnts, Logarithms, Measurement (Calendars/Dates/Time, Temperature, Terms/Units of Meas., Number Sense/About Numbers (Golden Ratio/Fibonacci, Imaginary/Complex, Infinity, Large Numbers, Negative Numbers, Prime Numbers, Ratnl/Irratnl Nums., Transcendental), e, Pi., Patterns/Relatnshps (Ratio/Proportion), Problem-Solving. (4) Calculus (SV): Differentiation, Integration, Sequences/Series. (5) Calculus (MV): Differentiation,
Integration, Vector Analysis. (6) Communicating Math.
(7) Differential Eqtns: (Difference Equations, ODE, PDE.).
(8) Discrete Math: Algorithms, Combinatorics (Perms/Combs),
Graph Theory, Order/Lattices. (9) Dynamical Systems: Cellular Automata, Chaos, Fluid Dynamics, Fractals, Nonlinear dynamics. (9) Dynamical Systems: Cellular Automata, Chaos, Fluid Dynamics, Fractals, Nonlinear Dynamics. (10) Geometry: Affine Geom., Algebraic Geom., Analytic Geometry, Computatnl Geom., Convex/Disc. Geom., Diffrntl Geom., Higher-Dimensional Geom., (Polyhedra), Euclidean/Plane Geom. (Conic Sections/Circles, Constructions, Coordinate Plane Geom., Triangles/ Polygons.), Non-Euclidean Geom. (Elliptic &Spherical Geom., Hyperbolic Geom., Projective Geom.), Transfrmtnl Geom. (Symmetry/Tesselltns). (11) History/Biography.
(12) Logic/Foundations: (Axiomatic Systems, Set Theory).
(13) Number Theory: Algebraic Num. Th., Analytic Num. Th., Sequences/Sets (Fibonacci sequence). (14) Numerical Analysis: Approximation Theory, Computatnl Lin. Alg. (15) Operations Research: Control Theory, Dynamic Progrmng, Game Theory, Integer Progrmng, Linear Progrmng, Nonlinear Progrmng, Optimization, Systems Theory. (16) Pre-Calculus: Functions (Graphing), Inequalities, Trigonometry. (17) Prob/Stat:
Bayesian Statistics, Computatnl Stat., Data Analysis (Graphing
Of Data), Data Sets, Probability, Statistics, Stochastic
Processes. (18) Topology: Algebraic Topology, Knot Theory, Topo./Lie Groups. (19) Applications/Connections: Humanities (Art, Literature/Poetry, Music, Philosophy, Religion),
Professional (Architecture, Biz/Industrial (Actuarial Sci.,
Math of Economics, Math of Inv't/Finance (Interest Calculation, Stock Market), Math of Management, Construction/Trades, Engineering, Medicine/Health. Sciences (Astronomy,
Biology (Animal Biology, Genetics/Evolution, Human Biology, Paleontology/ Paleobot..., Plant Biology), Chemistry,
Computer Science (AI, Computer Algebra, Computer Systems, Cryptography, Data Structures, Formal Lang./ Automata.,
Earth Sciences (Ecology, Geography, Geology, Meteorology), Physics (Acoustics, Electromag. Theory, Fluid Mechanics, Mechanics of Particl..., Mechanics of Solids, Optics,
Quantum Theory, Relatvty/ Grav. Theory, Statistcl Mechncs, Thermodynamics), Social Sciences (Economics, Linguistics, Population, Political Science, Psychology, Soc./Anth.), Sports.
(B)The Math Forum - Math Library - Math Ed Topics
(1) Teaching Issues/Strategies: Assessment/Testing, General Programs/Approaches (Block Scheduling, Grouping/Cooperative Learning, Interdisciplinary/ Thematic Studies, Modeling, Multiculturalism, Museum Education, Non-traditional, Problem-Solving, Sequence of Subjects/Topics, Tracking/ Ability Grouping), Materials-Reviews/ Recommendations, Activities (Games, Manipulatives, Simulations, Visualizations), Psychological/Affective Issues, Special Contexts (Adult Education, Disabled/Challenged, English as Second Language, Gifted, Homeschooling, Tech Prep/Math For Employment), Specific Math Concepts/Techniques, Teaching Styles/Practices, Technology in Math Ed (Audiovisual/Multimedia, Calculators, Computers "Models of Use, Programmed Instruction"), The Web
And Pedagogy, Writing/Communication in Math, Dialog Journals. (2) Professional Ed/Career Development: Continuing Ed, Degrees/Higher Ed, Job Placement/Job Market, Pre-Service, Staff/Prof Development, (Conferences, Workshops/Inservice/ Training). (3) Math Ed Research/Reform: Curriculum/Materials Development: (Pedagogical Research, Psychological Research, Reform: (Back-to-Basics, Calculus Reform, Constructivism, Saxon, Standards), NCTM Standards. (4) Social Issues/Public Policy: Community Outreach, Educational Systems,
Equity (Disabled/Challenged, Minorities, Women),
Public Understanding of Math.
(C)The Math Forum - Math Library - Resource Types
(1) Educational Materials: Audiovisuals (Audio, Graphics, Multimedia, Video.), Courses (Course Notes, Syllabi.), Educational Tools/Objects (Calculators, Computers, Games, Manipulatives, Simulations.), Lesson Plans and Activities (Collections), Problems/ Puzzles (Word Problems), Textbooks.
(2) Net-Based Resources: Discussions (Chat Areas, Discussion Archives, Mailing Lists, Newsgroups, Web-Based Discussions.), Internet-Based Projects (Daily/Weekly/Monthly Challenges, Question and Answer Services), Internet Reference Material,
Link Listings, Search Engines. (3) Organizations: Commercial Businesses, Educational Vendors, Departments, Museums, Professional Associations/Societies, Public and Government Institutions, Publishers, Research Centers . (4) Publications: Articles, Preprints, Books, Journals, Magazines, Newsletters.
(5) Recreations: Field Trips, Fun for Kids, Humor, Poetry.
(6) Reference Sources: Bibliographies, Dictionaries, Glossaries, Thesauri, Frequently Asked Questions (FAQs), Quotations, Tutorials. (7) Software: Archives/Download Sites, Documents/ Sketches/Galleries, Editors/Typesetting, Instructional Packages/ Games, Manuals/How-To's, Symbolic Processors/General (Maple, Mathcad, Mathematica, General Software Miscellaneous.) Topic Tools (Cabri Geometry, Geometer's Sketchpad, MathWorlds (Simcalc), Topic Tools Miscellaneous.),
Web Interactive/Java.
(D)The Math Forum: Student Center
(1) Have a Math Question?: Ask Dr. Math, Ask Dr. Math Books. (2) Problems and Puzzles: Problems of the Week, Problems
of the Week Blog, Technology Problems of the Week (tPoWs), KenKen. (3) Other Student Center Highlights: Math Tools, Student Showcase, Math Tips & Tricks, Undergrad Research Database. (4) By Grade Level: Elementary (Ages 5-11), Middle School (Ages 11-13), High School (Ages 14-18), College (Undergraduate), Graduate (Research). (5) Special Interest: Non-English Math Resources, Science Fair Math Projects.
(6) Other Community Areas: Teachers' Place,
Research Division, Parents & Citizens.