Math 145, Winter 1999

Lectures and Labs


PART I: The Stairway to Chaos


Week 01
Lecture 1M: Introduction
Lecture 1W: The NOVA documentary
Lecture 1F: Flows in 1D,
Lab 0: Orientation

Week 02
Lecture 2M: Flows in 1D,
Lecture 2W: Flows in 2D
Lecture 2F: Flows in 2D and 3D
Lab 1: 1D flows in STELLA

Week 03
Lecture 3M: Martin Luther King Jr. Day, no meeting
Lecture 3W: Homoclinic tangles
Lecture 3F: Ueda attractor
Lab 2: 2D flows

PART II: Iteration Theory

Week 04
Lecture 4M: 1D iterations
Lecture 4W: Chaos in a 1D map
Lecture 4F: Quiz #1
Lab 3: 2D and 3D flows

Week 05
Lecture 5M: Chaos and determinism
Lecture 5W: Attractor reconstruction
Lecture 5F: Cellular dynamata
Lab 4: 1D maps
Week 06
Lecture 6M: Introduction to 2D maps
Lecture 6W: Critical curves
Lecture 6F: Chaos in topological dynamics
Lab 5: 1D maps
Week 07: Fractals
Lecture 7M: Absorbing intervals and areas
Lecture 7W: Complex dynamics
Lecture 7F: Yorke video
Lab 6: 1D maps
Week 08: What is it all for?, Quiz #2
Lecture 8M: Peitgen video
Lecture 8W: Critical points in 1D
Lecture 8F: Quiz #2
Lab 7: 2D maps

PART III: Presentations of projects by teams

Weeks 09 and 10: Schedule of projects
Week 11: Final exam, covers lectures and lab, weeks 1-8
Revised Sunday 26 Feb 1999 by Ralph