Math Insight

List of applets

• An affine function of one variable

  Applet: An affine function of one variable (Interactive)
  A plot of the affine function $f(x)=ax+b,ドル which is a line.
• Applet: alpha function and tangent lines
  
• An angled line or a plane

  Applet: An angled line or a plane
  The graph of equation $y=3x-2$ could be a line or a plane.
• An angled plane

  Applet: An angled plane
  The graph of the function $g(x,y)=x+y$ is an angled plane.
• An angled plane

  Applet: An angled plane
  The graph of the function $g(x,y)=x+y$ is shown with all axis at the same scale to better reveal the steepness of the angled plane.
• Applet: Angles from parallel lines
  
• Applet: Animal competition
  
• Applet: Animal competition determine phase plane
  
• Applet: Animal competition determine phase plane solution
  
• Applet: Animal competition solution
  
• Area inside sinusoidal curve

  Applet: Area inside sinusoidal curve (Interactive)
  Area inside a sinusoidal curve
• Area via a left Riemann sum

  Applet: Area via a left Riemann sum (Interactive)
  Illustration of the calculation of the area underneath the graph of a function via a left Riemann sum.
• Applet: Area of Riemann sum (Interactive)
  
• Area via a right Riemann sum

  Applet: Area via a right Riemann sum (Interactive)
  Illustration of the calculation of the area underneath the graph of a function via a right Riemann sum.
• Applet: Two-dimensional axes
  
• Details of the Backward Euler approximation to a pure time differential equation

  Applet: Details of the Backward Euler approximation to a pure time differential equation (Interactive)
  Illustration of how the Backward Euler algorithm fixes the slope from the end of each interval to estimate the solution.
• Fitting a linear model to bacteria population change as a function of density

  Applet: Fitting a linear model to bacteria population change as a function of density (Interactive)
  When plotting bacteria population change verses density, one can fit the points with a linear equation to determine a discrete dynamical system model describing bacteria growth.
• Bacteria density data

  Applet: Bacteria density data (Interactive)
  An applet where you can explore different features of the data consisting of the population density of the bacteria V. natriegens as measured every 16 minutes for 160 minutes.
• Applet: Fitting a line to the ratio of new bacteria population to old bacteria population
  
• Applet: Bacteria density versus time along with exponential growth fit
  Comparison of initial bacteria growth with an exponential growth model.

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