Fordham Math 1700-R01: Mathematical Modelling, Spring 2021
Course Documents
Our course Google Drive folder contains the syllabus, lecture notes, homework assignments, and other course documents.
Meetings and Recordings
Use the links in the following table to join our class meetings on Zoom.
| Monday | Tuesday | Wednesday | Thursday | Friday | |
|---|---|---|---|---|---|
| Lecture | 2:30-3:45 pm | 2:30-3:45 pm | |||
| Office Hours | 12-1 pm | 9-11 am | 10-11:30 am |
Our course Panopto folder contains recordings of all lectures.
Additional Resources
- The Fordham Math Help Room is available at these hours. No appointment is necessary.
- Desmos.com provides a free online graphing calculator. They also have a free app for mobile devices.
- WolframAlpha.com provides a search bar for everything mathematical.
- Calculus.org for supplemental notes, examples, practice exams, etc.
Schedule
| Class | Date | Agenda |
|---|---|---|
| Lec 01 | 2/01 | Welcome, 1.1 Modeling Reality |
| Lec 02 | 2/04 | 1.2 Discrete Dynamical Systems |
| Lec 03 | 2/08 | 2.1 Some Linear Models |
| Lec 04 | 2/11 | 2.2 Linear Equations and their Solutions |
| Lec 05 | 2/18 | 2.3 Homogeneous Equations and their Applications |
| Lec 06 | 2/22 | 2.4 Solutions of Non-Homogenous Equations |
| Lec 07 | 2/25 | 2.5 Applications of Non-Homogeneous Equations |
| Lec 08 | 3/01 | 2.6 Dynamics of Linear Equations |
| Lec 09 | 3/04 | 2.7 Emperical Models and Linear Regression |
| Lec 10 | 3/08 | 3.1 Some Non-Linear Models |
| Lec 11 | 3/11 | Midterm Exam #1 (chapters 1-2) |
| Lec 12 | 3/15 | 3.2 Autonomous Equations and their Dynamics |
| Lec 13 | 3/18 | 3.3 Cobwebbing, Derivatives, and Dynamics |
| Lec 14 | 3/22 | 3.4 Some Mathematical Applications |
| Lec 15 | 3/25 | 3.5 Periodic Points and Cycles |
| Lec 16 | 3/29 | 3.6 Parameterized Families |
| Lec 17 | 4/01 | 3.7 Bifurcation and Period-Doubling |
| Lec 18 | 4/05 | 3.8 Chaos |
| Lec 19 | 4/08 | 4.1 Some Linear Systems Models |
| Lec 20 | 4/12 | Midterm Exam #2 (chapter 3) |
| Lec 21 | 4/15 | 4.2 Linear Systems and their Dynamics |
| Lec 22 | 4/19 | 4.3 Some Vector and Matrix Arithmetic |
| Lec 23 | 4/22 | 4.4 Stability and Eigenvalues |
| Lec 24 | 4/26 | 4.5 Repeated Real Eigenvalues |
| Lec 25 | 4/29 | 4.6 Comple Numbers and their Arithmetic |
| Lec 26 | 5/03 | 4.7 Complex Eigenvalues |
| TBD | Final Exam (cumulative) |