cover -- copyright page -- Untitled -- Acknowledgments -- Contents -- Introduction and Motivation -- Introduction -- Motivation -- Implementation -- Grading -- Organization -- Computer Exploration of Mathematical Concepts -- A Prime Project -- A Golden Prime Project -- A Rather Normal Project -- Collatz Collapse -- Fractions of Fractions -- Diffusion by Chance -- Random Investing -- Infinite Digits with Finite Storage -- Follow the Rules! -- Chaotic Rabbits -- Smoothing Out Tangles -- Shortening Voices Everywhere -- Student Poster Example -- Numerical Algorithms -- Bit by Bit -- Getting to the Root of the Problem -- Things that Periodically Fit -- Going with the Flow -- SupercaliFRACTAListic! -- Chain Reactions -- The World's Largest Linear Algebra Problem -- Shifting the Way We Think About Linear Algebra -- Facing Reality with Eigenfaces -- Matrix Surgery: Operating on Matrices -- Student Poster Example -- Advanced Numerical Analysis -- Matrices of Matrices -- Wrapping Around Matrices -- Getting Smaller -- Improved Hearing -- You Match I Match -- Seeing More Clearly -- Eigenvalue Computing Side-by-Side -- Delayed Understanding -- Student Poster Example -- Bibliography -- Index -- About the Authors.