68 lines
1.0 KiB
Markdown
68 lines
1.0 KiB
Markdown
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- Telescoping sums
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- Division algorithm
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- Peano axions
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- Proof basics
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- Show that irrational
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- Voting systems
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- Weighings
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# Beginners 1
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Grades 2 - 4
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- Basic cyphers
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- Modular Arithmetic
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- Numbers in other bases
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# Beginners 2:
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Grades 4 - 6
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- Pidgeonhole principle
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- Combinatorics
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- N choose K (c and p)
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- stars and bars
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- Induction
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- Boosted induction (cauchy, etc)
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- Compass-and-Ruler constructions
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# Intermediate 1:
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Grades 5 - 7
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- Graphs
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- Instant Insanity
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- Euler walks and paths
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- Konigsberg
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- Logs & Slide rules
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- Vectors and Applications
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- Probability
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- Monty Hall problem
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# Intermediate 2:
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Grades 6 - 9
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# Advanced 1:
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Grades 9 - 10
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- Linear Algebra Basics
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- Graph Theory
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- Algorithms:
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- Ford-Fulkerson
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- Dijkstra
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- Minimal spanning tree
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- Three-color theorem
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# Advanced 2:
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Grades 11 - 12
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- Logic
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- Exists, forall, not. (Definable sets handout)
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- Mockingbird, lambda
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- Numerical cryptography
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- Group Theory
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- Understand Euler's Number
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- Relations
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