My apps for math and physics


Analytic Geometry

Stochastics

Alternating Current Using RLC



Affine Transformations

Triangles

Functional Graphs



Analytic Geometry

This app shows objects of analytic geometry in a rotatable 3d coordinate system. You may choose between point, line, vector, angle or plane and in addition there are solid bodies like sphere, pyramid, cone, cylinder and torus. 

For several combinations you may calculate the intersection or distance.

 


There also exists a version for Win 10 here! (external link)



Stochastics

This app covers the following themes of stochastics:

Binomial distribution, normal distribution, testing of hypothesis, risks of 1. and 2. kind, confidence intervals, probability tree.

All results are also shown graphically.

 


There exists a Win-10 version with additional modules like 1d- and 2d-statistics, playing dice, urn models.

->Download . (external link)



Alternating Current Using RLC

The program Alternating Currnet With R-L-C is designed to visualize the interrelations of electric currents and voltages in circuits using resistors, capacitors and inductors. The total voltage is assumed to be of cosine form. The main focus is on graphical representation and calculation. The following views are part of the program:

  • Graphic showing the circuit
  • Vector diagrams of voltages and currents
  • U(t)-diagram including all partial voltages
  • I(t)-diagram including all partial currents
  • P(t)-diagram of the electric power
  • R(f)-diagram showing the absolute value of impedance as a function of the frequency
  • I(f)-diagram showing the absolute value of the electric current as a function of frequency
  • Frequency response locus of impedance and admittance

You can choose between 21 sorts of circuits.


There is a similar app for Win-10

here (external link).



2D-Functional Graphs

You may show the graphs of functions of one variable as well as those of functions in parametric form.

Tangents and integrals can be calculated an shown. In addition the calculation of intersections is available.

 


A much more comprehensive Win-10 programme of mine with dynamic 2d-geometry is available here (external link) for download.



Affine Transformations

This app offers affine transformatioins of polygons, points and vectors, especially

- reflection relative to a point

- reflection relative to a straight line

- translation

- rotation

- scaling

- shear

- gereral affine transformation

 


The capabilities of this app are also included in the Win-10 app "2D-Graphs and 2D-Geometry".

 

Here (external link) it may be downloaded.

 



Triangles

This app offers to construct a triangle via the congruence sentences, calculates all sides and angles and shows the triangle in a coordinate system.

As an option, the points can be specified by their coordinates.

You may choose between the following objects:

- mid perpendicular

- median

- bisectrix of angle

- incircle

- circumcircle

- Thales circle

- square over sides

 

 


All content of this app is also available in the above mentioned Win-10 programme with dynamic 2d-geometry.

Download  here (external link).