**Important Information**

- Lecture Time: MWF 9:25-10:15
- Location: Hayes-Healy 229
- Office Hours: Sunday 19:00-20:30 and Tuesday 17:00-18:30 in Hurley 295, or by appointment
- E-mail: eburkard@nd.edu
- Course TAs: Angela Adduci (Section 11) and Hannah Porter (Section 12)
- Tutorial Sections:
- Section 11: T 9:30-10:20, DeBartolo 241
- Section 12: T 11:00-11:50, O'Shaughnessy 204

- Course Syllabus
- Calculus Review Packet

**Handouts and Other Stuff**

**Lecture Progress**

Day | Date | Material Covered | Lecture Notes | Homework | Mathematica Notebook (if applicable) |

Wed | Jan 13 | Course Introduction, Polar Coordinates, and Spirographs | Notes | Homework 1a | |

Fri | Jan 15 | Graphing Polar Equations and Conics in Polar (Parabolas) | Notes | Homework 1b | |

Mon | Jan 18 | Ellipses, Hyperbolas, and Starting Derivatives in Polar | Notes | Homework 1c | |

Wed | Jan 20 | Quiz 1 and Derivatives in Polar | Notes | Homework 2a | |

Fri | Jan 22 | Finish Derivatives and Lengths in Polar | Notes | Homework 2b | |

Mon | Jan 25 | Area in Polar and Equiangular Spirals | Notes | Homework 2c | |

Wed | Jan 27 | Calculus Review: Derivatives | Notes (Thanks to Emily!) | Homework 3a | |

Fri | Jan 29 | Quiz 2 and Calculus Review continued | Homework 3b | ||

Mon | Feb 01 | Calculus Review: Fundamental Theorem of Calculus and u-Substitution | Homework 3c | ||

Wed | Feb 03 | Quiz 3 and Calculus Review: Logarithms and Exponentials | Homework 4a | ||

Fri | Feb 05 | Intensive Review of Polar Coordinates | Notes (Thanks to Maureen!) | Homework 4b | |

Mon | Feb 08 | Motion under a Centripetal Force | Notes | Homework 4c | |

Wed | Feb 10 | Quiz 4 and Conic Trajectory implies Inverse Square Law | Notes | Homework 5a | |

Fri | Feb 12 | Inverse Square Law implies Conic Trajectory, Kepler's 1st and 3rd Laws | Notes | Read Section 12.11 | |

Mon | Feb 15 | Digital Visualization Theater | N/A | ||

Wed | Feb 17 | Digital Visualization Theater | N/A | ||

Fri | Feb 19 | Mathematica Tutorial | N/A | N/A | Mathematica Demo |

Mon | Feb 22 | Exam 1 | N/A | ||

Wed | Feb 24 | Beginning Symmetries: Regular Triangle | Notes | Homework 6 | |

Fri | Feb 26 | Triangle Symmetries: The Dihedral Group D_{3} | Notes | Homework 7a | |

Mon | Feb 29 | Physical Symmetry Subgroup, Symmetries of the Tetrahedron, and Symmetries of Irregular Shapes | Notes | Homework 7b | |

Wed | Mar 02 | Quiz 5, Groups, and Symmetries of a Circle | Notes | Homework 8a | |

Fri | Mar 04 | Fractals and Tilings | Notes | Homework 8b | |

Mon | Mar 14 | Matrix Basics and the Rotation Matrix | Notes | Homework 8c | |

Wed | Mar 16 | Quiz 6, Reflection Matrix, and Symmetry Groups | Notes | Homework 9a | |

Fri | Mar 18 | Translations and Isometries of the Plane | Notes | Homework 9b | |

Mon | Mar 21 | General Linear and Affine Transformations of the Plane | Notes | Homework 9c | |

Wed | Mar 23 | Quiz 7 and Review | N/A | N/A | |

Wed | Mar 30 | Exam 2 | N/A | N/A | N/A |

Fri | Apr 01 | Intro to Topology: Homeomorphic, Ambiently Isotopic, and Homotopy Equivalent Spaces | Notes | Homework 10a | |

Mon | Apr 04 | Surfaces and Connected Sum | Notes | Homework 10b | |

Wed | Apr 06 | Quiz 8 and Surfaces as Edge Identifications of Polygons | Notes | Homework 11a | |

Fri | Apr 08 | Orientability and the Euler Characteristic | Notes | Homework 11b | |

Mon | Apr 11 | Euler Characteristic continued and Euler's Polyhedron Formula | Notes | Homework 11c | |

Wed | Apr 13 | Quiz 9 and Platonic Solids Redux | Notes | Homework 12a | |

Fri | Apr 15 | Classification Theorem for Closed Surfaces, Introduction | Notes | Homework 12b | |

Mon | Apr 18 | Classification Theorem for Closed Surfaces | Notes | Homework 12c | |

Wed | Apr 20 | Quiz 10 | |||

Fri | Apr 22 | ||||

Mon | Apr 25 | Exam 3 | |||

Wed | Apr 27 | Documentary | |||

Wed | May 04 | Final Exam | N/A | N/A | N/A |