## Math 6080 Summer 2018

The course syllabus is available here.

### Worksheets

Platonic Solids July 17
Groups, Symmetry Groups July 18
More group theory, cosets July 19
Stereographic projection July 20
Modular arithmetic: Bezout's lemma, Chinese remainder theorem, Fermat's little theorem July 25
Pascal's triangle and roots of unity July 26
Conic sections, intersections July 27
Intersection multiplicity, projective space July 30, July 31
Transylvanian lottery, Fano plane August 1
Continued fractions, Farey diagram August 2
### Lesson Plans

Thinking in higher and lower dimensions, Shae and Dave: Lesson Plan outline,
Worksheet
Projective Space over finite fields and the game Spot It, Merilee and John:
Presentation,
Worksheet
Modular arithmetic, the Euclidean algorithm and Billiards problems, Emre:
Problems on Euclidean algorithm, gcd, moodular arithmetic,
Problems on modular arithmetic and billiards
Isometries and Rigid Transformations, Charlotte and Becca:
Worksheet on Euclidean Transformations,
Worksheet on Symmetries of a Square,
Worksheet on building a hypercube
Modular arithmetic and time, ISBN and UPC codes, Jennifer and Brooke:
Worksheet,
Slide presentation
Sine, cosine and Lissajous curves, Merry:
Worksheet
Modular arithmetic and shift cyphers with Python, Jessica and Heather:
Screenshot of code