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Course Introduction
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Two Kinds of Paths
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Polynomials vs. Exponentials
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Divide and Conquer
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Big O and All that
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When the details don't matter
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Quiz 1 (self-assessment)
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Divide and Conquer Redux
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Dynamic Programming
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Greedy Algorithms
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Landscapes
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Reductions and Translations
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Lessons So Far
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The Best of All Possible Algorithms
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Complexity Wrap-Up
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Quiz 2 (self-assessment)
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Finding versus Checking
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Circuits and Formulas
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More NP-complete Problems
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P versus NP Problem
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Existence and Nonexistence
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Above and Beyond
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Real World Problems
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Phase Transitions
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Random Problems
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Solvability Threshold
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Modeling Differential Equations
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Landscapes, Clustering, Freezing, and Hardness
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Building Blocks: Recursive Functions
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Building Blocks: Partial Recursive Functions
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λ Calculus
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Turing Machines
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The Halting Problem
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The Grand Unified Theory of Computation
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The Analytical Engine
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Cellular Automata
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Tile-Based Computation
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Dynamical Systems
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Quiz 5 (self-assessment)
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More from Cris Moore
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Other ComplexityExplorer resources
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Computation in Complex Systems (summer 2021)
Lead instructor: Cris Moore