# Fordham Math 1206-R05: Calculus I, 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 | 8:30-9:45 am | 8:30-9:45 am | |||

Recitation | 3:30-4:20 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.
- Here is a condensed Review of Essential Algebra Concepts and Skills for Calculus that you may find helpful, especially if it has been some time since you were last in a math classroom.
- Here is another review of What to know before taking calculus with lots of links to lecture-style videos.

## Schedule

Class | Date | Agenda |
---|---|---|

Lec 01 | 2/01 | Welcome, 1.1 Four Ways to Represent a Function |

Rec 01 | 2/02 | Review of algebra and trigonometry |

Lec 02 | 2/04 | 1.3 New Functions From Old Functions, 1.4 The Tangent and Velocity Problem |

Lec 03 | 2/08 | 1.5 The Limit of a Function |

Rec 02 | 2/09 | Review 1.1, 1.3, 1.4, 1.5 |

Lec 04 | 2/11 | 1.6 Calculating Limits Using the Limit Laws |

Rec 03 | 2/16 | Review 1.6 |

Lec 05 | 2/18 | 1.7 The Precise Definition of the Limit, 1.8 Continuity |

Lec 06 | 2/22 | 2.1 Derivatives and Rates of Change |

Rec 04 | 2/23 | Review 1.7, 1.8, 2.1 |

Lec 07 | 2/25 | 2.2 The Derivative as a Function |

Lec 08 | 3/01 | 2.3 Differentiation Formulas, 2.4 Derivatives of Trigonometric Functions |

Rec 05 | 3/02 | Review 2.2, 2.3, 2.4 |

Lec 09 | 3/04 | 2.5 The Chain Rule, 2.6 Implicit Differentiation |

Lec 10 | 3/08 | Exam 1 (1.1-2.2) |

Rec 06 | 3/09 | Review 2.5, 2.6/td> |

Lec 11 | 3/11 | 2.8 Related Rates |

Lec 12 | 3/15 | 2.9 Linear Approximation and Differentials |

Rec 07 | 3/16 | Review 2.8, 2.9 |

Lec 13 | 3/18 | 3.1 Maximum and Minimum Values |

Lec 14 | 3/22 | 3.2 The Mean Value Theorem |

Rec 08 | 3/23 | Review 3.1, 3.2 |

Lec 15 | 3/25 | 3.3 How Derivatives Affect the Shape of a Graph |

Lec 16 | 3/29 | 3.4 Limits at Infinity, Horizontal Asymptotes |

Rec 09 | 3/30 | Review 3.3, 3.4 |

Lec 17 | 4/01 | 3.7 Optimization Problems |

Lec 18 | 4/05 | 3.9 Antiderivatives |

Rec 10 | 4/06 | Review 3.7, 3.9, 4.1, 4.2 |

Lec 19 | 4/08 | 4.1 Areas and Distances |

Lec 20 | 4/12 | Exam 2 (2.3-3.9) |

Rec 11 | 4/13 | Review 4.3 |

Lec 21 | 4/15 | 4.2 The Definite Integral, 4.3 The Fundamental Theorem of Calculus |

Lec 22 | 4/19 | 4.4 Indefinite Integrals and the Net Change Theorem, 4.5 The Substitution Rule |

Rec 12 | 4/20 | Review 4.4, 4.5, 6.1 |

Lec 23 | 4/22 | 6.1 Inverse Functions, 6.2* The Natural Logarithmic Function |

Lec 24 | 4/26 | 6.3* The Natural Exponential Function |

Rec 13 | 4/27 | Review 6.2*, 6.3* |

Lec 25 | 4/29 | |

Lec 26 | 5/03 | Review for Final Exam |

Rec 14 | 5/04 | Review for Final Exam |

TBD | Final Exam (cumulative) |