Chapter 14 Links

Section 14.1

Learn more about the HISTORY OF SEQENCES AND SERIES

Section 14.2

Learn more about ARITHMETIC AND GEOMETRIC SEQUENCES UNIT

• Recursion Discussion
• Sequencer ? JAVA Applet ? Shodor
• Sequencer Exploration Questions

Learn more about the General Formulas ? JAVA Applet

Learn more about ARITHMETIC SEQUENCES AND PARTIAL SUMS

Learn more about SEQUENCES ON THE TI-83+/84+

Learn more about the FIBONACCI SEQUENCE AND GOLDEN RATIO at these websites?

• The Golden Section Ratio: phi
• The Golden Ratio
• Thinkquest: The Golden Ratio
• Some Explorations with the Golden Ratio
• The Evolution of Truth

Learn more about LEONARDO FIBONACCI

• MacTutor History of Mathematics
• Who Was Fibonacci
• Fibonacci the Mathematician
• The Life and Numbers of Fibonacci

Learn more about PATTERNS IN FRACTALS

• Finding Pattterns in Fractals
• Patterns in Fractals Worksheet
• Hilbert Curve Generator ? JAVA Applet ? Shodor
• Another Hilbert Curve Generator ? JAVA Applet ? Shodor
• Koch?s Snowflake ? JAVA Applet ? Shodor
• Sierpinski?s Triangle ? JAVA Applet ? Shodor
• Sierpinski?s Carpet ? JAVA Applet ? Shodor

Learn more about PATTERNS IN PASCAL?S TRIANGLE

• What are Multiples Discussion
• Pascal?s Triangle Discussion
• Patterns in Pascal?s Triangle Worksheet
• Coloring Multiples in Pascal?s Triangle ? JAVA Applet ? Shodor
• Coloring Remainders in Pascal?s Triangle

Learn more about DOT PATTERNS

• The Sierpinski Gasket
• Tower of Hanoi
• Sierpinski Gasket and Tower of Hanoi
• Bicolor Tower of Hanoi

Learn more about DISCRETE PROBLEMS

• Checkerboard Math

Learn more about PLOTTING SEQUENCES

Section 14.3

Learn more about SERIES

• An Introduction to Series
• Convergence of Series
• Geometric Series

Learn more about APPLICATIONS OF GEOMETRIC SERIES

• State Lotteries
  Follow link to Radioactive Decay ? Physics Application
  Follow link to New Jobs ? Public Policy Application
  Follow link to Leasing ? Consumer Application
  Follow link to Tennis ? Sports Application
• The Geometric Series
• Application: A Bouncing Ball

Learn more about CONVERGENT SERIES AND BEYOND

Learn more about PASCAL?S TRIANGLE

• Pascal?s Triangle ? MathWorld
• Discovery Lessons
• Discovering Patterns

Learn more about BLAISE PASCAL

• MacTutor History of Mathematics
• World of Biography
• Trinity College Dublin
• Oregon State University

Learn more about OTHER CONTRIBUTORS

• OMAR KYAYYAM
• YANG HUI
• EUG?NE CHARLES CATALAN

Learn more about the BINOMIAL SERIES

• MathWorld
• A Particular Power Series
• Some Binomial Series Examples

Learn more about the HARMONIC SERIES

• MathWorld
• A Tour Up The Harmonic Series
• The Harmonic Series
• The Harmonic Series in Music

Learn more about NICHOLAS D?ORESME

• MacTutor History of Mathematics
• World of Biography

Learn more about the KOCH SNOWFLAKE

• Von Koch Curve Lab Report ? JAVA Applet
• Applications of Series
• Famous Fractals ? Thinkquest
• Koch Snowflake
• Koch Tetrahedron
• Von Koch Curves
• Classic Iterated Function Systems
• Koch Curve
• Koch Snowflake

Learn more about NIELS FABIAN HELGE VON KOCH

• MacTutor History of Mathematics

Section 14.4

Learn more about MATH INDUCTION

Learn more about SIGMA NOTATION

• Sigma Notation
• Summation, or Sigma, Notation

Learn more about BINARY FRACTAL TREES

• Geometry of Self-Contacting Binary Fractal Trees
• Animations

Learn more about BODE?S LAW

• Cornell University
• Titius-Bode Law with Fibonacci Numbers and the Pascal Triangle
• World of Astronomy
• The Titius/Bode Law

Learn more about JOHANN ELERT BODE

Learn more about JOHANN DANIEL TITIUS