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## College Math

Sub-Topics
Algebra
Calculus
Geometry
Graphing
Measurement
Prime Numbers
Probability and Statistics
Trigonometry

Lesson Plans
1. Algorithms (Math Forum)
Provides sources.

2. College Math - University Certificates Upon Completion (Coursera.org)
Includes Algebra, Calculus, Pre-Calculus, and other math topics. Used by up to 33 universities. The courses are free.

3. Common Errors in College Math (Vanderbilt University)
Provides a description of the most common errors by undergraduate students in algebra, calculus, reasoning, and more.

4. Discrete Math (Math Forum)
Provides sources.

5. Exponents (Math Forum)
Provides sources of lessons.

6. Imaginary and Complex Numbers (Math Forum)
Provides sources.

7. Logic and Set Theory (Math Forum)
Provides sources.

8. Number Theory (Math Forum)
Provides sources.

Papers
1. -Articles by Topic (Wikipedia.org)
Provides dozens of topics.

2. -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.

3. 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...."

4. College Mathematics (Wikipedia.org)
Provides a directory of math subjects.

5. Definitions (Math Forum)
Provides sources of terms.

6. 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."

7. Mathematical Logic (Wikipedia.org)
Includes Boolean algebra, Categorical logic, Model theory, Proof theory, Recursion theory, and Set theory.

8. 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, indemann-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

Projects
1. Matrices and Finite Math (NCSU.edu - Page)
Provides tools and problems to better understand matrices. 8-05

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