 JKGRAPH John Kennedy Mathematics Department Santa Monica College 1900 Pico Blvd. Santa Monica, CA 90405 jkennedy@smc.edu 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. Download jkgraph.zip [509 KB]. Look at the readme file from the program.