Math Insight

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• Inflection points, concavity upward and downward
  Finding points where the second derivative changes sign.
• The influence of network structure on correlations
  If a network is operating in a linear regime, one can piece together the influence of network motifs on correlations.
• Solutions to elementary integral problems
  Solutions to sample problems illustrating the indefinite and definite integral.
• Elementary integral problems
  Sample problems illustrating the indefinite and definite integral.
• Integrals and the Fundamental Theorem of Calculus
  
• Slides: Integrals and the Fundamental Theorem of Calculus
  
• The integrals of multivariable calculus
  A summary of the integrals of multivariable calculus, including calculation methods and their relationship to the fundamental theorems of vector calculus.
• Integrating the error term of a Taylor polynomial: example
  An example showing how to integrate the error term of Taylor polynomial and interpret the result.
• Integrating Taylor polynomials: first example
  An example showing how to integrate a Taylor polynomial and interpret the result.
• Applications of integration
  Finding the area under a curve as an application of integration
• Slides: Applications of integration: area under a curve
  
• Integration by parts
  Using the product rule backwards to simplify integrals.
• Integration substitutions
  Reversing the chain rule to compute integrals.
• Introduction to the Interactive Gallery of Quadric Surfaces
  A tour of the various quadric surfaces, with interactive applets that illustrate cross sections and the effect of changing parameters.
• Intermediate Value Theorem, location of roots
  Using the Intermediate Value Theorem to find small intervals where a function must have a root.
• Intersecting planes example
  Example showing how to find the solution of two intersecting planes and write the result as a parametrization of the line.
• Definition: Definition of intersection
  The intersection of a set $A$ with a $B$ is the set of elements that are in both set $A$ and $B$. The intersection is denoted as $A \cap B$.
• Introduction to Dynamical Systems
  
• Introducing rabbit predators
  Exploring the interactions between fox and rabbit populations when foxes are introduced to an exploding population of rabbits.
• Math 2374 introduction to Math Insight
  Introduction describing how the Math Insight pages fit into the Math 2374 course.

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