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This is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of efficient algorithms, emphasizing methods of application.

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2

English

English [CC]

FREE

Description

Topics include divide-and-conquer, randomization, dynamic programming, greedy algorithms, incremental improvement, complexity, and cryptography.

Course content

  • Overview, Interval Scheduling Unlimited
  • Divide & Conquer: Convex Hull, Median Finding Unlimited
  • Divide & Conquer: FFT Unlimited
  • Divide & Conquer: van Emde Boas Trees Unlimited
  • Amortization: Amortized Analysis Unlimited
  • Randomization: Matrix Multiply, Quicksort Unlimited
  • Randomization: Skip Lists Unlimited
  • Randomization: Universal & Perfect Hashing Unlimited
  • Augmentation: Range Trees Unlimited
  • Dynamic Programming: Advanced DP Unlimited
  • Dynamic Programming: All-Pairs Shortest Paths Unlimited
  • Greedy Algorithms: Minimum Spanning Tree Unlimited
  • Incremental Improvement: Max Flow, Min Cut Unlimited
  • Incremental Improvement: Matching Unlimited
  • Linear Programming: LP, reductions, Simplex Unlimited
  • Complexity: P, NP, NP-completeness, Reductions Unlimited
  • Complexity: Approximation Algorithms Unlimited
  • Complexity: Fixed-Parameter Algorithms Unlimited
  • Synchronous Distributed Algorithms: Symmetry-Breaking. Shortest-Paths Spanning Trees Unlimited
  • Asynchronous Distributed Algorithms: Shortest-Paths Spanning Trees Unlimited
  • Cryptography: Hash Functions Unlimited
  • Cryptography: Encryption Unlimited
  • Cache-Oblivious Algorithms: Medians & Matrices Unlimited
  • Cache-Oblivious Algorithms: Searching & Sorting Unlimited

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Instructor

Massachusetts Institute of Technology
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