
Product No.
99780 
Supplementary Print 
Price:
FREE with membership 



Applications of Sequences and Limits in Calculus (UMAP)
Yves Nievergelt

Mathematics Topic: Analysis, Calculus, Precalculus 
Application Areas: Chemistry, finance 
Prerequisites: A working knowledge of rational arithmetic, the concepts of mathematical functions, and mathematical induction. 

 ©2000 by COMAP, Inc.  Tools for Teaching 1999  26 pages 

This module introduces applications of the mathematical concepts of "sequence" and "limit" by way of the method of bisection. In precalculus, bisection provides an example of an algorithm, together with approximations of solutions, estimates of accuracy, sequence, and mathematical induction. In beginning calculus and real anaylsis, bisection provides a motivation for precise definitions of the real numbers, for instance, as Dedekind cuts, or as equivalence classes of Cauchy sequences of rational numbers.
Table of Contents:
INTRODUCTION
REASONS FOR SOLVING EQUATIONS
SOLVING EQUATIONS THROUGH BISECTION
FURTHER ISSUES
SOLVING EQUATIONS THROUGH REGULA FALSI
CONCLUSIONS
SOLUTIONS TO THE ODDNUMBERED EXERCISES
REFERENCES
ABOUT THE AUTHOR



