Syllabus
The following is a tentative syllabus for the course and this page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| Week 1 | ||
| 9/11 (M) | 1.1 | Introduction to Mathematical Modeling |
| 9/13 (W) | 1.2 | Difference Equations and MatLab |
| 9/14 (W) | Individual Student Meetings | |
| 9/15 (F) | 1.3 | Solution Methods and Examples |
| Week 2 | ||
| 9/18 (M) | 1.3 | Population Models |
| 9/20 (W) | 1.4 | Systems of Difference Equations |
| 9/22 (F) | 1.4 | Systems of Voting Data |
| Week 3 | ||
| 9/25 (M) | 3.1-3.4 | Modeling Errors and Least Squares |
| 9/27 (W) | Lecture Notes | Data Examples |
| 9/29 (F) | Lecture Notes | Preference Systems |
| Week 4 | ||
| 10/2 (M) | Lecture Notes | Axiomatic Voting Systems |
| 10/4 (W) | Lecture Notes | Voting Examples and Tournaments |
| 10/6 (F) | 10.1-10.3, 10.7 | Modeling with Games |
| Week 5 | ||
| 10/9 (M) | 10.3-10.6 | Two Player Games |
| 10/11 (W) | 10.3-10.6 | Solution Methods and Nash Equilibrium |
| 10/13 (F) | Lecture Notes | Iterated Games and Auctions |
| Week 6 | ||
| 10/16 (M) | 6.1 | Markov Chains |
| 10/18 (W) | Lecture Notes | Absorbing Markov Chains |
| 10/20 (F) | No Class | |
| Week 7 | ||
| 10/23 (M) | Lecture Notes | Applications of Probability Models |
| 10/25 (W) | Lecture Notes | Applications of Probability Models |
| 10/26 (Th) | Lecture Notes | Benford's law and human pseudorandomness |
| 10/27 (F) | 8.1-8.2 | Modeling with Networks |
| Week 8 | ||
| 10/30 (M) | 8 | Network Centralities |
| 11/1 (W) | 8 | Null Models |
| 11/3 (F) | 8 | Modularity and Assortativity |
| Week 9 | ||
| 11/6 (M) | Lecture Notes | Network Clustering |
| 11/8 (W) | 11.1-11.2 | Differential Equations Models |
| 11/10 (F) | Chapter 12 | Systems of Differential Equations |
| Week 10 | ||
| 11/13 (M) | Chapter 12 | Autonomous Systems and the Lorentz Attractor |
| 11/17 (F) | Final Exam |