【實用教育app】Calc101|最夯免費app-綠色工廠好玩App

KineMath Calc101 helps teachers and students of mathematicswith the exploration of the basic concepts of calculus.Its clear and intuitive user interface provides anunparalleled representation of tangent lines, derivatives,anti-derivatives, areas under the curve and integrals.These are the topics that constitute the core foundation ofany introductory calculus course.KineMath Calc101 exploits the versatility and touchcapability of the iPad to bring the beauty of mathematicsto the fingertips of teachers and students of calculus.The App provides a dynamic way for the user to interactand explore these ideas, providing an amazing visualrepresentation of the concepts studied.The Tangent Line ApplicationThe Tangent Line application provides the mechanicsto explore the functions that are most widely usedin a high school course. The main slider scans thefunction while having options to plot a Track Pointon the function, its tangent line at that particularpoint and the derivative of the function in question.All of these are controlled by switches that canbe turned ON and OFF. As was the case in the previousKineMath app, all functions have a set of parametersthat are controlled by sliders.Pinching and panning gestures are of course available,in order to give the user a sense of control over theplots that are being studied. Pinching does workon independent directions, allowing for full manipulation of the functions.The equations of the tangent line and derivativefunction do appear when their switches are turned ON,providing a dynamic equation that listens to everychange of the main parameters.All sliders in this app can be customized to varytheir range or to pick specific values that mightotherwise be difficult to reach.The main equation of the function that is beingexplored will always appear in green.Pressing the camera icon does save the graphing viewas an image to the main photo library of the iPad.This feature allows the user to export images for manyother purposes, like email or print.The Riemann Sum ApplicationThe Riemann Sum application is a typical explorationof left, right, midpoint and trapezoid sums. The userhas the ability to vary the values of “a” and “b”,while having the freedom to pick up to 50 elementsor subdivisions. Recall that this applicationis intended as an exploration to facilitate theunderstanding of Riemann Sums. Typically, only a fewrectangles or elements are needed to visualize theseideas.Calc 101 does have some computation ability: Itcalculates the corresponding areas for each sum, givencertain value of “n”, the number of subdivisions.The bottom left of the screen shows a table with allthe corresponding values, including Simpson’s rule,which is just a weighted average of the midpoint andtrapezoid rule.The “Detail Areas” button at the bottom of the screenprovides a popover view with a table that shows thevalues of areas of all the individual subdivisions foreach sum. Tapping one of these cells will highlightthe corresponding region in the graph.