 ## Department of Mathematics at Sugitani Institute for Liberal Arts and Sciences University of Toyama

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### Staff

• Kazuhiro SASANO : Professor
• e-mail : ksasano [followed by @las.u-toyama.ac.jp]
• Tel : +81-76-434-5054
• Office hour : Tuesday 17:00 - 19:00
• : Associate Professor
• e-mail :
• Tel : +81-76-434-7450
• Office hour :

### Teaching Materials Archive [in Japanese]

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.

### Exam Questions Archive [in Japanese, of course]

An archive of a part of exam questions for classes of K. Sasano.

### Java Studies

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, where` f(x,y) `and` g(x,y) `are polynomials of 2nd order.

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