engleski

Student's Manual on Numerical Integration

Abstract. The object of this poster presentation is to render an educational manual on numerical integration which is stored in a separately developed PDF format with interactive forms. The novelty consists in the following: a student reads the mathematical contents (author's diploma work) individual topics on numerical integration and studies the examples of every algorithm. If he/she is online, he/she is o ered the possibility to perform each and every pro- gram example (written in Python) over Internet. A special computer system Scriptrunner serves for this purpose ; however, the user/reader needs not to be familiar with the program. The program is executed by the Scriptrunner and results are returned to the sender. In this way, the new educational possibility is accomplished: every reader reads the manual in his own way, i.e. instead of only one example arbitrarily many examples are available, depending on the input data sent for the program. The reader of the PDF document needs not to have any program installed on his computer except the PDF viewer and an Internet browser. This manual includes algorithms and programs for Newton-Cotes formulas ; simple, composite and recursive trapezoidal rule ; Simpson's rules, Romberg in- tegration, Gaussian integration formulas (Gauss-Chebyshev, Gauss-Laguerre and Gauss-Hermite quadrature) etc. Likewise, many other manuals may be rendered available, too ; the manuals from all mathematical elds using com- puter and algorithms for them may be solved in any programming language. This novelty provides a new dimension for the future digital textbooks.

interactive PDF documents; distance e-learning; numerical

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