Syllabus

Lecture 1: Overview and introduction to the study of complex systems

Lecture 2: Limit sets, stability, and robustness

Lecture 3: Oscillations, bifurcations, and phase transitions

Lecture 4: Chaos, iterated maps, and prediction

Lecture 5: Period doubling, fractals, and conservative systems

Lecture 6: Random walks, stable distributions, and first passage times

Lecture 7: Power laws and similar distributions

Lecture 8: Phase transitions and criticality

Lecture 9: Coarsening, random sequential adsorption, and pair formation

Lecture 10: Markov processes and landscape models

Lecture 11: Cellular automata and entropy

Lecture 12: Poisson processes and random matrix theory

Lecture 13: Graphs and networks

Lecture 14: Toward answers to big questions

Lecture 1: Overview and introduction to the study of complex systems

Lecture 2: Limit sets, stability, and robustness

Lecture 3: Oscillations, bifurcations, and phase transitions

Lecture 4: Chaos, iterated maps, and prediction

Lecture 5: Period doubling, fractals, and conservative systems

Lecture 6: Random walks, stable distributions, and first passage times

Lecture 7: Power laws and similar distributions

Lecture 8: Phase transitions and criticality

Lecture 9: Coarsening, random sequential adsorption, and pair formation

Lecture 10: Markov processes and landscape models

Lecture 11: Cellular automata and entropy

Lecture 12: Poisson processes and random matrix theory

Lecture 13: Graphs and networks

Lecture 14: Toward answers to big questions

Individual Reading Lists

Problem Set 1

Problem Set 1 Solutions

Problem Set 2

Problem Set 2 Solutions

Problem Set 3

Problem Set 3 Solutions

Problem Set 4

Problem Set 4 Solutions

Problem Set 5

Problem Set 5 Solutions

Midterm Exam

Midterm Exam Solutions

Final Project Description

Problem Set 1

Problem Set 1 Solutions

Problem Set 2

Problem Set 2 Solutions

Problem Set 3

Problem Set 3 Solutions

Problem Set 4

Problem Set 4 Solutions

Problem Set 5

Problem Set 5 Solutions

Midterm Exam

Midterm Exam Solutions

Final Project Description

– If you have questions about the above course materials, please contact me via the email below. –

– All assignments are due by 2 p.m. on the due date. You may submit them either in class or by email at or before this time. –