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• Introduction to Calculus Refresher
  Introduction describing the Calculus Refresher notes.
• An algebra trick for finding critical points
  An old algebraic trick that can make finding critical points much easier.
• A refresher on the product rule
  How to compute the derivative of a product.
• Limits with cancellation
  Calculating limits of a fraction my canceling factors from the numerator and denominator.
• Partial fractions
  Using algebra to simplify the integral of rational functions.
• Function examples
  Basic examples of functions illustrating the definition of a function.
• Characterization of linear 2D flows
  
• Matrices and determinants for multivariable calculus
  Brief description of matrices and determinants, at the level needed for multivariable calculus.
• Derivatives of more general power functions
  How to compute the derivative of power functions.
• Introduction to matrices
  A brief introduction to matrices.
• Lines (and other items in Analytic Geometry)
  How to describe the equation for a line in terms of horizontal and vertical coordinates.
• Parametrized curve and derivative as location and velocity
  Description of a parametrization of a curve as the position of a particle and the derivative as the particle's velocity. Illustrated with animated graphics.
• The determinant of a matrix
  The calculation of the determinant of a matrix, a single number that gives useful information about the matrix.
• Developing a logistic model to describe bacteria growth
  Modeling the slowing growth rate caused by environmental carrying capacity in bacteria growth data.
• Equilibria in discrete dynamical systems
  An introduction to the concept of equilibria in discrete dynamical systems and how to calculate them.
• A refresher on the chain rule
  How to compute the derivative of a composition of functions.
• Trigonometric substitution
  Using trigonometric substitution to simplify integrals involving square roots.
• Determining stability by cobwebbing linear approximations around equilibria
  By cobwebbing the linear approximation to a discrete dynamical around an equilibrium, one can determine a criterion for the stability of the equilibrium.
• L'Hospital's rule
  A way to simplify evaluation of limits when the limit is an indeterminate form.
• Environmental carrying capacity
  We examine a difference equation used to describe population growth in limited environments.

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