plotXpose vs ELEMENTORUM

Plot functions, derivatives & integrals. Explore frequency analysis and Digital Signal Processing (DSP) concepts through graphs. Solve equations numerically using a variety of methods. plotXpose app is a companion to the book Mathematics for Electrical Engineering and Computing by Mary Attenborough, published by Newnes, 2003. The app allows you to define and plot a General Function made up by a composition of any of the following standard operations and functions: -, +, *, / , ^(power), sin, cos, tan, ln (log base e), log (log base 10), arcsin (inverse sine), arccos (inverse cos), arctan (inverse tangent). In addition a Square Wave or Triangular Wave can be defined. You can Open a previously saved function from a file. The function is defined as a function of t (often representing time). Initially the function is defined for values of t between t = -5 and t = 5, at a sampling interval of 0.01, and the y-axis is displayed over the full range for y. These values can be changed using Settings. The function is displayed and also the exact Derivative. The Integral can also be viewed on the same axes and the Frequency spectrum is viewed in a separate tab. o determine values on the graph use View to display a grid or Display Position, in which, tapping on the function, its derivative or integral, displays the coordinates at that location. You can Save to a file any one of the function, derivative or integral. These values can be read back into plotXpose via the Open menu item. Equation solving can be performed using the Zero Find option with various numerical methods. The sequence of values found is displayed on the screen and can be saved to a file. Tangent Mode can be used to display tangents to to any of the defined curves along with the gradient and the equation of the tangent. There are some problems and investigations on the companion website to accompany Mathematics for Electrical Engineering and Computing for which this app can be used. In addition many of the Exercises in other chapters (e.g. graph sketching, numerical integration, sequences) can be checked with the aid of this app. Some extra suggested Problems are given on the plotXpose help website.

Learn the elements of the periodic table in a playful way. All chemical elements have a natural position in the periodic table, which are queried in a quiz-like manner in this ELEMENTORUM app. The tasks are designed so that you benefit from learning how professional chemists memorize the arrangement of the elements. And here's a secret: Very few chemists know ALL chemical elements and their positions in the periodic table by heart. However, what every chemist knows exactly are the main group elements such as H, O, N, C etc. Of the 9 levels in this app, the first 4 levels focus solely on the main group elements. Only then do the subgroup elements such as Co, Ni, Fe, etc. come. In ELEMENTORUM, the subgroup elements are added to the quiz questions in levels 5 to 7. And only the very diligent ones learn the lanthanides and actinoids by heart. But take on the challenge in levels 8 and 9 and try to solve all the tasks correctly. And here's another secret: No chemist learns the periodic table line by line, or row by row, or period by period. Chemists learn the periodic table from top to bottom, column by column, or group by group. And why? Because elements in the same column or group have the same or similar chemical properties. For example, the alkali metals Li, Na, K, Rb and Cs. Or the halogens F, Cl, Br and I. Or the noble gases He, Ne, Ar, Kr and Xe. So it simply makes more sense for a chemist's work to memorize the elements in groups than in periods. In the ELEMENTORUM app you are shown a section of the periodic table in each task, i.e. 3-4 rows (periods) and 3-4 columns (groups). The position of one element should be found. Orientate yourself on which elements are to the left and right of the element you are looking for, but focus in particular on the elements that are above and below. Then, with a little practice, you will be able to assign more and more elements to the correct positions and become a master of the periodic table.