JKGRAPH is a Microsoft WINDOWS program for graphing
and analyzing graphs of various kinds of functions that students
are likely to encounter in either a pre-calculus or first year
calculus course. JKGRAPH uses four distinct function groups which
include standard rectangular functions in the form Y=F(X), polar
functions in the form R=F(@), parametric functions in the form
X=F(T) and Y=G(T), and polar parametrized functions in the form
R=F(T) and @=G(T). JKGRAPH can perform integration (numerically
and graphically) by several different ways: lower, midpoint, and
upper Riemann sums; Trapezoid and Simpson's rule; Gaussian quadrature
and Romburg. In particular, one can view the area between two
graphs in any of the four function groups. This program will also
calculate (numerically and graphically) arc length, extrema, volumes
(by both disks and cylinders), surface area and the user can apply
Newton's Method or the Bisection Method to find the zeroes. The
user can also enter a Tangent/Normal/Graph trace mode in which
they can move a tangent line, normal line or a point along the
graph to study the variations of these quantities along the curve.
At each point on the curve the tangent line equation (or normal)
and the coordinates of the point of tangency (normality) are given.
A tutorial file is provided.
This program combines the features of the MSDOS
programs POLAR, PARAM and POLPM which are contained in jkpolpm.zip
and YFUNX which is contained in jkyfunx.zip into a single program
which runs under Windows 3.1 and Windows95.