Schedule

The following schedule is for Virtual SIM Camp 2021. More information on SIM Camp 2022 will be available soon.

Virtual SIM Camp Epsilon ran from June 7th through June 11th, and Virtual SIM Camp Delta ran from June 21st through June 25th. As usual, camp began at 9:00 AM and run until 4:15 PM, and each day had a number of short breaks throughout the day plus a longer one in the middle of the day for lunch. See below for the exact schedule.

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Below is the schedule for the online camp in 2021. All times are given in CDT (Central Daylight Time). 

 

SIM Camp Delta

  Monday 6/21 Tuesday 6/22 Wednesday 6/23 Thursday 6/24 Friday 6/25
9:00-12:00

Opening Activities

 

Zoom meeting: Introduction to Camp, 9:00-9:15


Zoom meeting: Zoom Orientation, 9:15-9:55


Break, 9:55-10:15


Individual: Camper Slide Creation, 10:15-10:25


Zoom meeting: Slide Presentations, 10:25-10:45


Zoom meeting: Aha! Moments and Camp Rules, 10:45-11:15


Break, 11:15-11:35


Video: SIM Camp Website, 11:35-11:40


Zoom meeting: Pre-survey, 11:40-12:00

 

The Continued Fraction Universe 

 

Zoom meeting: Introduction, 9:00-9:10


Zoom meeting: Number systems with base other than 10, 9:10-9:40


Break, 9:40-10:00


Zoom meeting: The binary expansion, 10:00-10:40


Break, 10:40-11:00


Zoom meeting: The decimal expansion, 11:00-12:00

 

The Continued Fraction Universe 

 

Zoom meeting: Introduction, 9:00-9:40


Break, 9:40-10:00


Zoom meeting: Euclid's Algorithm, 10:00-10:40


Break, 10:40-11:00


Zoom meeting: Nim Game, 11:00-12:00

 

The Continued Fraction Universe 

 

Zoom meeting: Introduction, 9:00-9:40


Break, 9:40-10:00


Zoom meeting: Convergents, 10:00-10:40


Break, 10:40-11:00


Zoom meeting: Scavenger Hunt, 11:00-12:00

 

The Continued Fraction Universe

 

Zoom meeting: Introduction, 9:00-9:40


Break, 9:40-10:00


Zoom meeting: Best Approximations, 10:00-10:40


Break, 10:40-11:00


Zoom meeting: Leaf Growth Patterns, 11:00-12:00

 

12:00-12:45 Break for lunch Break for lunch Break for lunch Break for lunch Break for lunch
12:45-1:15 Zoom meeting: Stamps, McNuggets, and Frobenius Numbers Zoom meeting: Sperner's Lemma and Fair Division Zoom meeting: The Mathematician's Project Zoom meeting: P vs. NP Zoom meeting: Cut It Out and Fun with Fractals
1:15-4:15

Topological Invariants: How to Distinguish Spaces 

 

Zoom meeting: What to expect?, 5 min


Zoom meeting: General discussion about the universe shape, size and dimensions, 10 min


Zoom meeting: Story time about the shape of earth, 10 min


Video: Flatland, 10 min


Zoom meeting: Discussion about the Flatland, 5 min


Break, 20 min


Zoom meeting: Story time about Expeditions of Square, 10 min


Zoom meeting: What is topology?, 10 min


Zoom meeting: What are the possible shapes?, 20 min


Break, 20 min


Zoom meeting: Invariants, 10 min


Zoom meeting: Make a cube, 15 min


Zoom meeting: Using plane graphs to calculate Euler characteristic, 10 min

Day 1 Notes

 

Topological Invariants: How to Distinguish Spaces 

 

Zoom meeting: Brief Recap, 5 min


Zoom meeting: Torus model, 15 min


Zoom meeting: Torus games, 20 min


Zoom meeting: Competition, 20 min


Break, 20 min


Zoom meeting: Paper torus euler characteristic, 15 min


Zoom meeting: Double torus models, 15 min


Break, 20 min


Zoom meeting: Homotopy, 5 min


Zoom meeting: Groups and Loops, 25 min


Zoom meeting: Homology Classes, 10 min

Day 2 Notes

Day 2 Lecture Notes

Euler Characteristic of a Torus

 

Topological Invariants: How to Distinguish Spaces 

 

Zoom meeting: What is geomerty?, 10 min


Zoom meeting: Spherical Geometry; Area on a sphere, 20 min


Zoom meeting: Hyperbolic geometry, 10 min


Zoom meeting: What is curvature?, 10 min


Break, 20 min


Zoom meeting: Theorema Egregium and Gauss Bonnet, 15 min


Zoom meeting: Uniform geometries on Surfaces, 25 min


Break, 20 min


Zoom meeting: Desmos Activity, 40 min

Day 3 Notes

 

Topological Invariants: How to Distinguish Spaces 

 

Zoom meeting: Discussion, 10 min


Zoom meeting: Dodecahedron, 20 min


Zoom meeting: 3 utilities problem, 20 min


Break, 20 min


Zoom meeting: 3 utilities on paper


Zoom meeting: 3 utilities on torus


Break, 20 min


Zoom meeting: Hairy ball theorem and Poincare hopf index theorem

Day 4 Utilities Notes

Day 4 Vector Fields on Spheres Notes

 

Closing Activities

 

Zoom meeting: Dodecahedron Assembly, 1:15-1:35


Zoom meeting: Two Truths and a Lie, 1:35-2:00


Zoom meeting: Focus Group Discussion, 2:00-2:10


Break, 2:10-2:30


Zoom meeting: Camp Survey, 2:30-2:55


Pictures and Memes Submission Form


Break, 2:55-3:15


Zoom meeting: Fun and Games, 3:15-3:55


Zoom meeting: Closing Slideshow, 3:55-4:15

 

 

 

SIM Camp Epsilon

  Monday 6/7 Tuesday 6/8 Wednesday 6/9 Thursday 6/10 Friday 6/11

9:00-12:00

Opening Activities

Zoom meeting: Introduction to Camp, 9:00-9:15


Zoom meeting: Zoom orientation, 9:15-9:55


Break, 9:55-10:15


Individual: Camper Slide Creation, 10:15-10:25


Zoom meeting: Sharing Slides, 10:25-10:45


Zoom meeting: Aha! Moments and Camp Rules, 10:45-11:15


Break, 11:15-11:35


Video: SIM Camp Website, 10:35-10:40


Zoom meeting: Camp Survey, 11:40-12:00

 

Topological Invariants: How to Distinguish Spaces 

Zoom meeting: Introduction, 5 min


Zoom meeting: General discussion about the universe shape, size and dimensions, 10 min


Zoom meeting: Story time about the shape of earth, 20 min


Break, 20 min


Video: Flatland clip, 10 min


Zoom meeting: Discussion about the Flatland, 5 min


Zoom meeting: Story time about Expeditions of Square, 10 min


Zoom meeting: What do these expeditions of square tell us about the shape?, 20 min


Break, 20 min


Zoom meeting: What is topology?, 10 min


Zoom meeting: Invariants, 10 min


Zoom meeting: Make a shape and calculate euler characteristic, 15 min

 

Topological Invariants: How to Distinguish Spaces 

 

Zoom meeting: Dodecahedron, 20 min


Zoom meeting: Brief Recap, 10 min


Zoom meeting: Torus Model, 15 min


Break, 20 min


Zoom meeting: Torus games, 20 min


Zoom meeting: Competition, 15 min


Zoom meeting: Challenge Non orientability, 10 min


Break, 20 min


Zoom meeting: Paper torus euler characteristic, 15 min


Zoom meeting: Double torus models, 15 min


Zoom meeting: Challenge to find a shape whose euler characteristic is -2, 15 min


Video: Double Torus Animation

Euler Characteristic of a Torus

Day 2 Notes

 

 

Topological Invariants: How to Distinguish Spaces

Zoom meeting: Recap-Euler characteristic, 10 min

Zoom meeting: Discussion on euler characteristic and loops, 5 min


Zoom meeting: Groups and Loops, 25 min


Break, 20 min


Zoom meeting: Homotopy, 10 min


Zoom meeting: Homology classes of loops 10 min


Zoom meeting: Cup product, 15 min


Break, 20 min


Zoom meeting: Desmos activity (code 34MKC2), 40 min

 

Topological Invariants: How to Distinguish Spaces 

 

Zoom meeting: 3 utilities problem


Zoom meeting: 3 utilities on paper


Zoom meeting: 3 utilities on torus


Break, 20 min


Zoom meeting: Hairy ball theorem


Zoom meeting: Poincare hopf index theorem


Break, 20 min


Zoom meeting: Can you hear shape?

 

12:00-12:45

Break for lunch

Break for lunch

Break for lunch

Break for lunch

Break for lunch

12:45-1:15

Zoom meeting: Cut It Out: Paper Crafts

Zoom meeting: Fun with Fractals

Zoom meeting: The Mathematicians Project

Zoom meeting: Code Cracking

Zoom meeting: Two Truths and a Lie

1:15-4:15

Graphs, Paths, and Bridges 

Zoom meeting: Introductions and Objectives, 1:15-1:30


Zoom meeting: What is a graph, and why might we care? 1:30-1:45


Video: Families of graphs, 1:45-2:05


Break, 2:05-2:25


Zoom meeting: Getting Acquainted, 2:25-3:20


Break, 3:20-3:40


Zoom meeting: A Theorem!, 3:40-4:15

Day 1 Tri-fold Notes

Day 1 Summary

 

Graphs, Paths, and Bridges 

 

Zoom meeting: Introductions and Review, 1:15-1:40


Zoom meeting: A new notion of equality: the equivalence relation, 1:40-1:55


Zoom meeting: What's the Relation?, 1:55-2:15


Break, 2:15-2:40


Zoom meeting: Isomorphism, 2:40-2:55


Zoom meeting: Are They Isomorphic?, 2:55-3:25


Break, 3:25-3:45


Zoom meeting: Is graph isomorphism an equivalence relation?, 3:45-3:50


Zoom meeting: Poll and Q&A, 3:50-4:15


Day 2 Summary

 

Graphs, Paths, and Bridges 

 

Zoom meeting: Introductions and Review, 1:15-1:30


Zoom meeting: Story Time: we're crossing bridges!, 1:30-1:40


Zoom meeting: Shape & Success Part I, 1:40-2:05


Break, 2:05-2:25


Zoom meeting: Shape & Success Part II, 2:25-3:00


Zoom meeting: Bridging the Gap, 3:00-3:05


Break, 3:05-3:25


Zoom meeting: Solve the Bridge Problem!, 3:25-3:50


Video: How the Königsberg bridge problem changed mathematics, 3:50-4:00


Zoom meeting: Discussion about video, 4:00-4:15

From Bridges to a Graph

Day 3 Summary

 

Graphs, Paths, and Bridges

 

Zoom meeting: Introductions, 1:15-1:20


Zoom meeting: Focus shift: from edges to vertices, 1:20-1:35


Zoom meeting: Hamilton, Golomb, and Peterson, 1:35-2:00


Break, 2:00-2:20


Zoom meeting: Museum Visit & a Board Game, 2:20-3:00


Zoom meeting: Method for determining if a graph is Hamiltonian? 3:00-3:10


Break, 3:10-3:30


Zoom meeting: Graphs and Fibonacci, 3:30-3:45


Zoom meeting: A Game, 3:45-4:00


Zoom meeting: Closing remarks, 4:00-4:15

Day 4 Summary

 

Closing Activities

Zoom meeting: Dodecahedron Assembly, 1:15-1:35


Zoom meeting: Scavenger Hunt, 1:35-1:55


Zoom meeting: Focus Group Discussion, 1:55-2:10


Zoom meeting: Picture/Meme Share, 2:10-2:15


Break, 2:15-2:35


Zoom meeting: Fun and Games, 2:35-2:55


Zoom meeting: Post-camp Survey, 2:55-3:15


Break, 3:15-3:35


Zoom meeting: Brainteasers, 3:35-3:55

Brainteasers Solutions


Zoom meeting: Closing Presentation, 3:55-4:15