Department of Mathematics at Sugitani
Institute for Liberal Arts and Sciences
University of Toyama
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An archive of teaching materials used in the class of Calculus by K. Sasano. They are not enough yet, but we are trying to make them better.
An archive of a part of exam questions for classes of K. Sasano.
Java applets, written by K. Sasano using JAVA2, with source codes.
- Random number generator
- Generates and prints random numbers chosen in arbitrary range of integers.
- Bifurcation diagram of quadratic functions
- Draws the bifurcation diagram of the function
f(x) = a x (1-x) ( 0 <= a <= 4, 0 <= x <= 1 )
for arbitrary range of a and x.- Orbits of Henon map
- Draws the orbit through the origin of Henon map
(x1 = y+1-a*x^2, y1 = b*x)
.- Orbits of some quadratic map
- Draws the orbit through the origin of the quadratic map
(x1 = b*x + a - y*y, y1 = x)
.- Linear transformation on the plane
- Draws the image of points, lines and rectangles under the linear transformation corresponding to any 2 by 2 real matrix
- Phase portrait of 1st order ODE on the plane
- Draws the phase portrait of the differential equation
dx/dt = x (a-bx-my), dy/dt = y (c-dy-nx)
on the plane.- Phase portrait of 1st order ODE on the plane : continued
- Draws the phase portrait of the differential equation
dx/dt = f(x,y), dy/dt = g(x,y)
on the plane, wheref(x,y)
andg(x,y)
are polynomials of 2nd order.