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 |