Graduate Thesis Or Dissertation
 

Real roots of polynomials : an interactive computer approach

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  • This is an interactive, self explanatory computer program on real roots of polynomials with real coefficients. This program called POLYROOT has the double feature of tutoring and problem solving. It allows the user to enter on one line any polynomial with real coefficients. Then, the user can find : 1. characteristics of the polynomial, such as degree, number of terms, leading and constant terms. 2. the number of possible positive and negative real roots using Descartes' Rule of signs. 3. all the possible- rational roots using the Rational Root Theorem. 4. all the rational roots,and their multiplicities using Synthetic Division. 5. approximations for real roots using the Bisection Method and the Newton's Method. 6. approximations for real roots using the graph of the polynomial over any given interval. This compiled program is written in BASIC language and is supported by all IBM compatible machines. POLYBOOT contains four units which can be run in any order. This program will support the study of polynomials in Precalculus and Calculus courses. POLYBOOT is also useful for Mathematics and Engineering students solving linear differential equations using methods such as finding the zeros of the characteristic equation or forming partial fractions.
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Déclaration de droits
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  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6770A in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
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