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One-Variable Calculus
-General Tools
-Background
-History of Calculus
-Calculus Functions
-Continuity and Limits
-Differentiation: Calculation Rules
-Differentiation: Definition and Elementary Application
-Differentiation: General Applications
-Antidifferentiation
-Fundamental Theorem
-Integration: Motivation and Definition
-Integration Methods
-Integration: Applications
-Numerical Integration
-Infinite Limits: Function Values and Integrals
-Function Approximation
-Theoretical Issues
-Differential Equations
-Functions In General, Graphers and Definitions
-General Collections of Applets
-Infinite Limits: Sequences and Series
Multivariable Calculus
-General Tools
-History of Multivariable Calculus
-Vector Operations
-Lines and Planes
-Conic Sections & Quadric Surfaces
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-Properties of Curves
-Partial Derivatives, Differentiability
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-Taylor Polynomials, Hessian
-Optimization
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-Double Integrals, Applications
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-Curvilinear Coordinates, Change of Variables, Jacobians
-Vector Fields and Flowlines
-Green's Theorem
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-General Collections
-Graphing Multivariable Functions
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Ordinary Differential Equations
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-Collections and Archives
-Numeric Methods
Probability
-Famous Problems, Buffon's Needle
-Famous Problems, Birthday
-Famous Problems, Birds On A Wire
-Famous Problems, Coupon Collecting
-Famous Problems, Gambler's Ruin
-Famous Problems, Monty Hall
-Famous Problems, Hat Check
-Expected Value, Variance and Higher Moments
-Expected Value, Definition and Basic Properties
-Discrete Distributions, General
-Discrete Distributions, Bernoulli and Binomial
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-Discrete Distributions, Geometric and Negative Binomial
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-Famous Problems, Other
-Famous Problems, St. Petersburg Paradox
-Stochastic Processes, Poisson Process
-Stochastic Processes, Other
-Joint, Marginal, Conditional Distributions
-General Collection
-Games of Chance
-Multivariate Distributions, Multinomial
-Random Variable
-Stochastic Processes, Discrete Markov Chains
-Randomizing Gadgets
-Convergence Theorems, Law of Large Numbers
-Expected Value, Inequalities
-Basic Probability, Conditional Probability
-Basic Probability, Basic Rules
-Basic Probability, Axioms
-Convergence Theorems, Central Limit Theorem
-Basic Probability, Independence
-Combinatorics
-Continuous Distributions, Other
-Continuous Distributions, Uniform and Beta
-Continuous Distributions, Normal
-Continuous Distributions, General
-Continuous Distributions, Exponential and Gamma
Development Math
-Conic Sections
-Equations
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-Fractions
-Functions
-Geometry
-Linear Equations
-Linear Inequalities
-Logarithms
-Modeling: Dev Math
-Quadratic Inequalities
-Quadratics
-Radicals
-Rational Expressions
-Rational Functions
-Series
-Systems of Equations
-Variation
Monty Hall Simulation - Animation
Simple, clean graphics for a simulation of Monty Hall problem. Percentages for switch-win, switch-lose, stay-win, stay-lose are collected.
Basic Probability, Conditional Probability
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Famous Problems, Monty Hall
Principle of Proportionality
This is a short article on the principle of proportionality.
Basic Probability, Conditional Probability
Conditional Recurrence
This is a short article on conditional independence although the term conditional recurrence is used as the title.
Basic Probability, Conditional Probability
Laplace's Rule of Succession
This is a short article on Laplace's rule of succession. The rule is derived in the context of a ball and urn model.
Basic Probability, Conditional Probability
Dependent Events
This is one in a series of lessons on probability from the Math Goodies site.
Basic Probability, Conditional Probability
Conditional Probability
This is one in a series of lessons on probability from the Math Goodies site. The definition of conditional probability is given along with several examples from a variety of settings.
Basic Probability, Conditional Probability
Conditional Probability and Independent Events
This is a short article on conditional probability that gives the definition, the multiplication rule, and Baye's theorem for two events.
Basic Probability, Conditional Probability
Bayes' Theorem
This is a short article on Bayes' theorem. The theorem is derived in the setting of a finite partition of the sample space.
Basic Probability, Conditional Probability
Law of Total Probability
This is a brief article on the law of total probability. The law is expressed in terms of a partition and in terms of a discrete random variable.
Basic Probability, Conditional Probability
Bayes' Theorem
This is a brief article on Bayes' theorem.
Basic Probability, Conditional Probability
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