Important Information
Handouts and Other Stuff
Lecture Progress
Mathematica files with an (M) next to it means at least part of the document contains demonstrations from the Wolfram Demonstrations Project. Quiz and Exam dates are tentative until further notice.| 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 D3 | 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 |