Sub-Topics Algebra Calculus Geometry Graphing Measurement Probability and Statistics Trigonometry Lesson Plans Algorithms (Math Forum) Provides sources. Common Errors in College Math (Vanderbilt University) Provides a description of the most common errors by undergraduate students in algebra, calculus, reasoning, and more. 6-02 Discrete Math (Math Forum) Provides sources. Exponents (Math Forum) Provides sources of lessons. Imaginary and Complex Numbers (Math Forum) Provides sources. Logic and Set Theory (Math Forum) Provides sources. Number Theory (Math Forum) Provides sources. News The 46th Mersenne Prime (Time.com) "A Mersenne number is a positive number that can be expressed in the form 2n-1. A Mersenne prime is a Mersenne number that is, well, prime. Searching for higher and higher Mersenne primes is the unofficial national sport of mathematicians. The 45th and 46th (right) Mersenne primes were found this year, the latter by a team at UCLA. It has almost 13 million digits." 10-08 Papers -Articles by Topic (Wikipedia.org) Provides dozens of topics. 1-07 -Mathematical Notation (Wikipedia.org) Includes Big O notation, Blackboard bold, Bra-ket notation, Bracket, Del, Ellipsis, Equality (mathematics), Index set, Infix, Infix notation, Internet shorthand notation, Kronecker delta, Mathematical alphanumeric symbols, Mathematical notation, Operator, Parenthesis, Plus and minus signs, Plus-minus sign, Polish notation, Positional notation, Prefix, Reverse Polish notation, Set-builder notation, Table of mathematical symbols, and Vinculum. 10-04 Chaos Theory (Wikipedia.org) "In mathematics and physics, chaos theory deals with the behaviour of certain nonlinear dynamical systems that (under certain conditions) exhibit the phenomenon known as chaos, most famously characterised by sensitivity to initial conditions...." 10-04 College Mathematics (Wikipedia.org) Provides a directory of math subjects. 10-04 Constants - Math Constants (Finch) Provides favorite math constants. Definitions (Math Forum) Provides sources of terms. Financial Mathematics (Wikipedia.org) Provides a directory of financial math subjects. "Financial mathematics is the branch of applied mathematics concerned with the financial markets. The subject naturally has a close relationship with the discipline of financial economics, however the subject is narrower in scope and more abstract. A central difference is that whilst a financial economist might study the structural reasons why a company may have a certain share price, a mathematician may take the share price as a given, and attempt to use stochastic calculus to obtain the fair value of derivatives of the stock." Includes the topics of Arbitrage pricing theory, Beta coefficient, Black-Scholes, Bond duration, Bond valuation, Capital asset pricing model, Financial mathematics, Historical volatility, Implied volatility, Malliavin calculus, Modern portfolio theory, Moving average (finance), Put-call parity, Quantitative analyst, Rational pricing, Return (finance), Sharpe ratio, Sortino ratio, Stochastic calculus, The Greeks, Tobin's-q, Value at risk, and Volatility. 10-04 Infinity (Wikipedia.org) "Infinity is a theoretical value that is larger than any other value. To count to infinity is to count forever, without end." 10-04 Mathematical Logic (Wikipedia.org) Includes Boolean algebra, Categorical logic, Model theory, Proof theory, Recursion theory, and Set theory. 10-04 Mathematical Theorems (Wikipedia.org) "A theorem is a statement which can be proven true within some logical framework. Proving theorems is a central activity of mathematics." Provides 212 theorems. Includes Abel's theorem, Abel-Ruffini theorem, Almost flat manifold, Arrow's impossibility theorem, Artin-Wedderburn theorem, Atiyah-Singer index theorem, Baire category theorem, Banach fixed point theorem, Banach-Tarski paradox, Barbier's theorem, Bayes' theorem, Beatty's theorem, Beck's theorem, Bell's theorem, Berry-Esséen theorem, Bertrand's ballot theorem, Binomial theorem, Bishop-Gromov inequality, Bolyai-Gerwien theorem, Borsuk-Ulam theorem, Brouwer fixed point theorem, Bruck-Chowla-Ryser theorem, Cantor's theorem, Cantor-Bernstein-Schroeder theorem, Carmichael's theorem, Cartan's theorem, Catalan's conjecture, Cauchy integral theorem, Cauchy's integral formula, Cayley-Hamilton theorem, Central limit theorem, Ceva's theorem, Chebotarev's density theorem, Chinese remainder theorem, Church-Rosser theorem, Closed and exact differential forms, Closed graph theorem, Cluster decomposition theorem, Cochran's theorem, Compact space, Compactness theorem, Convolution theorem, Cramer's rule, De Branges' theorem, De Moivre's formula, De Rham cohomology, Desargues' theorem, Dirichlet's theorem on arithmetic progressions, Dirichlet's unit theorem, Divergence theorem, Division ring, Euler's formula, Euler's identity, Euler's theorem, Extreme value theorem, Faltings' theorem, Fermat's last theorem, Fermat's little theorem, Fixed point theorems in infinite-dimensional spaces, Four color theorem, Frobenius theorem, Fubini's theorem, Fuglede's theorem, Fundamental theorem, Fundamental theorem of Riemannian geometry, Fundamental theorem of algebra, Fundamental theorem of arithmetic, Fundamental theorem of calculus, Fundamental theorem of curves, Fundamental theorem of linear algebra, Fundamental theorem of vector analysis, Gauss-Bonnet theorem, Gauss-Markov theorem, Gel'fand-Naimark theorem, Gelfond-Schneider theorem, Gibbard-Satterthwaite theorem, Girsanov's theorem, Goodstein's theorem, Gradient conjecture, Green's theorem, Gromov's compactness theorem, Gromov's theorem on groups of polynomial growth, Gödel's completeness theorem, Gödel's incompleteness theorem, Haag's theorem, Hahn embedding theorem, Hahn-Banach theorem, Hahn-Jordan decomposition, Hairy ball theorem, Hales-Jewett theorem, Hausdorff paradox, Heine-Borel theorem, Herbrand-Ribet theorem, Heron's formula, Hilbert's basis theorem, Intermediate value theorem, Invariance of domain, Isomorphism theorem, Jordan curve theorem, Kirszbraun theorem, Knaster-Tarski theorem, Kolmogorov's zero-one law, Kronecker's theorem, Kronecker-Weber theorem, Krull's principal ideal theorem, Lagrange inversion theorem, Lagrange reversion theorem, Lagrange's four-square theorem, Lagrange's theorem, Lebesgue's number lemma, Lefschetz fixed-point theorem, Lie-Kolchin theorem, Lindemann-Weierstrass theorem, Linear congruence theorem, Linnik's theorem, Liouville's theorem (complex analysis), List of lemmas, List of mathematical theorems, List of theorems, Löwenheim-Skolem theorem, Mahler's compactness theorem, Mahler's theorem, Marcinkiewitz theorem, Marriage theorem, Matiyasevich's theorem, Maximum power theorem, Mazur's torsion theorem, Mean value theorem, Mertens' theorems, Metrization theorems, Minkowski's theorem, Mordell-Weil theorem, Morera's theorem, Morley's categoricity theorem, Morley's theorem, Morley's trisector theorem, Mumford conjecture, Myers theorem, Myhill-Nerode theorem, Nagell-Lutz theorem, Nash embedding theorem, No cloning theorem, Noether's theorem, Nyquist-Shannon sampling theorem, Open mapping theorem, Paley-Wiener theorem, Pascal's theorem, Pentagonal number theorem, Perfect graph, Peter-Weyl theorem, Picard theorem, Picard-Lindelöf theorem, Pick's theorem, Pontryagin duality, Post's theorem, Poynting theorem, Prime number theorem, Primitive element (field theory), Proof that e is irrational, Proof that holomorphic functions are analytic, Proof that the sum of the reciprocals of the primes diverges, Pythagorean theorem, Quillen-Suslin theorem, Ramsey's theorem, Rao-Blackwell theorem, Reeh-Schlieder theorem, Residue theorem, Rice's theorem, Riemann mapping theorem, Riemann-Roch theorem, Riesz representation theorem, Rolle's theorem, Schreier refinement theorem, Seifert-van Kampen theorem, Shannon-Hartley theorem, Simplicial approximation theorem, Soul theorem, Spectral theorem, Sperner's lemma, Splitting theorem, Star height problem, Stark-Heegner, Stokes' theorem, Stolper-Samuelson theorem, Stone duality, Stone's representation theorem for Boolean algebras, Stone-Weierstrass theorem, Stone-von Neumann theorem, Sylvester-Gallai theorem, Szemerédi's theorem, Szemerédi-Trotter theorem, Taniyama-Shimura theorem, Taylor's theorem, Thales' theorem, Theorem Thue-Siegel-Roth theorem, Tietze extension theorem, Time hierarchy theorem, Turán's theorem, Tychonoff's theorem, Uniform boundedness principle, Uniformization theorem, Urysohn's Lemma, Van der Waerden's Theorem, Vitali-Hahn-Saks theorem, Von Neumann bicommutant theorem, Von Staudt-Clausen theorem, Weierstrass-Casorati theorem, Weil conjectures, Whitehead theorem, Whitney embedding theorem, Wilson's theorem 10-04 Theorems - Important (Gurupedia.com) Provides some of the more important math theorems, including Riemann hypothesis, Continuum hypothesis, P=NP, Pythagorean theorem, Central limit theorem, Fundamental theorem of calculus, Fundamental theorem of algebra, Fundamental theorem of arithmetic, Fundamental theorem of projective geometry, Classification theorems of surfaces, and Gauss-Bonnet theorem. 8-05 Projects Matrices and Finite Math (NCSU.edu - Page) Provides tools and problems to better understand matrices. 8-05

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