# 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) |