Math Insight

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• Plane parametrization example
  Example showing how to parametrize a plane.
• Plotting line graphs in R
  Basic commands to plot line graphs with one or more series in R
• Polar coordinates
  Illustration of polar coordinates with interactive graphics.
• Polar coordinates mapping
  How polar coordinates can be viewed as mapping from the polar plane onto the Cartesian plane.
• Polynomial inequalities
  How to determine the intervals where a polynomial is positive or negative.
• Definition: Positive side definition
  The positive side of an oriented surface is the side to which its normal vector points.
• Definition: Positively oriented boundary definition
  A boundary of a surface is positively oriented if its direction corresponds to the fingers of your right hand when your thumb points in the direction of the surface normal.
• Probabilistic inference and Bayes Theorem
  
• The idea of a probability density function
  A probability density function captures the probability of being close to a number even when the probability of any single number is zero.
• The idea of a probability distribution
  A probability distribution is a function that describes the possible values of a random variable and their associated probabilities.
• An introduction to probability
  
• The idea of the product rule
  The product rule is motivated by calculating the change of area of a rectangle with variable width and height.
• A refresher on the product rule
  How to compute the derivative of a product.
• Definition: Proper subset definition
  A proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B.
• Definition: Proper superset definition
  A proper superset of a set A is a superset of A that is not equal to A. In other words, if B is a proper superset of A, then all elements of A are in B but B contains at least one element that is not in A.
• Prototypes: More serious questions about Taylor polynomials
  Questions regarding using Taylor polynomials to approximate a function over an interval.
• Slides: Solving pure-time differential equations with the Forward-Euler algorithm
  
• Graphical solution of pure-time differential equations
  
• Slides: Graphical solution of pure-time differential equations
  
• Introduction to pure-time differential equations
  

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