The article introduces a software application (MATH) supporting an education of Applied Mathematics, with focus on Numerical Mathematics. The MATH is an easy to use tool supporting various numerical methods calculations with graphical user interface and integrated plotting tool for graphical representation written in Qt with extensive use of Qwt…

This paper describes how parametric cubic splines and cubic Bezier curves may be used in designing a two dimensional shape. A simple aerofoil shape is designed using both methods. The mathematics is described and the shape drawn using Excel. The effect of varying parameters is shown in both methods.

Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)

Suggests computer graphing as a topic for computer programing. Reviews Apple II computer graphics information and gives suggestions for writing the programs. Presents equations to help place information onto the screen with proper coordinates. (MVL)

This is a collection of Pascal programs that were developed for a 1986 National Science Foundation-sponsored high school teachers' summer workshop. The programs can be used as a means of extending or enriching textbook material in either high school mathematics or Pascal courses. Some suggested uses are: (1) teacher demonstrations in mathematics…

Describes mathematical problems which occur when using the computer as a calculator. Considers errors in BASIC calculation and the order of mathematical operations. Identifies errors in spreadsheet and calculator programs. Comments on sorting programs and provides a source for Mathemagical Black Holes. (MVL)

Provides a listing of a software graphics program that investigates the law of reflection and Snell's law of refraction. Written in BASIC for the Apple II personal computer. (MVL)

Explains graphing functions when using LOTUS 1-2-3. Provides examples and explains keystroke entries needed to make the graphs. Notes up to six functions can be displayed on the same set of axes. (MVL)

Considers activities that use LOGO to slide, turn, and flip the "turtle." Uses non-LOGO tools such as cutouts, pattern blocks, and tangrams to enhance the motion work. Provides examples and programs with explanations. (MVL)

Considers the development of a computer program for interactive, screen-oriented problem solving. Provides theoretical background and program development to determine internal energy, heat capacity, and entropy. Lists the program written in BASIC for Apple II computers. (MVL)

Notes two uses of computer spreadsheets in the chemistry classroom. Discusses the general use of the spreadsheet to easily provide changing parameters of equations and then replotting the results on the screen. Presents a molecular orbital spreadsheet calculation of the LCAO-MO approach. Supplies representative printouts and graphs. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

Presents five computer programs: (1) Accurate Numerical Solutions of the One-Dimensional Schrodinger Equation; (2) NMR Simulation and Interactive Drill/Interpretation; (3) A Simple Computer Program for the Calculation of 13C-NMR Chemical Shifts; (4) Constants of 1:1 Complexes from NMR or Spectrophotometric Measurements; and (5) Saturation…

Describes two computer programs for chemistry: (1) "A Microcomputer Simulation of Fractal Electrodeposition" (provides for the study of fractal aggregrates, BASIC 4.0); and (2) "Counters on Grids" (a game to illustrate the distribution of energy). Notes the programs are available from the authors. (MVL)