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Algorithms-Stanford.University

  • Learn To Think Like A Computer Scientist, Algorithms - Stanford University - Coursera

This specialization is an introduction to algorithms for learners with at least a little programming experience. The specialization is rigorous but emphasizes the big picture and conceptual understanding over low-level implementation and mathematical details. After completing this specialization, you will be well-positioned to ace your technical interviews and speak fluently about algorithms with other programmers and computer scientists.

Course 1 - Divide and Conquer, Sorting and Searching, and Randomized Algorithms

  • INTRODUCTION
  • ASYMPTOTIC ANALYSIS
  • DIVIDE & CONQUER ALGORITHMS
  • THE MASTER METHOD
  • QUICKSORT - ALGORITHM
  • QUICKSORT - ANALYSIS
  • PROBABILITY REVIEW
  • LINEAR-TIME SELECTION
  • GRAPHS AND THE CONTRACTION ALGORITHM

Course 2 - Graph Search, Shortest Paths, and Data Structures

  • GRAPH SEARCH AND CONNECTIVITY
  • DIJKSTRA'S SHORTEST-PATH ALGORITHM
  • HEAPS
  • BALANCED BINARY SEARCH TREES
  • HASHING: THE BASICS
  • UNIVERSAL HASHING
  • BLOOM FILTERS

Course 3 - Greedy Algorithms, Minimum Spanning Trees, and Dynamic Programming

  • TWO MOTIVATING APPLICATIONS
  • INTRODUCTION TO GREEDY ALGORITHMS
  • A SCHEDULING APPLICATION
  • PRIM'S MINIMUM SPANNING TREE ALGORITHM
  • KRUSKAL'S MINIMUM SPANNING TREE ALGORITHM
  • CLUSTERING
  • ADVANCED UNION-FIND
  • HUFFMAN CODES
  • INTRODUCTION TO DYNAMIC PROGRAMMING
  • THE KNAPSACK PROBLEM
  • SEQUENCE ALIGNMENT
  • OPTIMAL BINARY SEARCH TREES

Course 4 - Shortest Paths Revisited, NP-Complete Problems and What To Do About Them

  • THE BELLMAN-FORD ALGORITHM
  • ALL-PAIRS SHORTEST PATHS
  • NP-COMPLETE PROBLEMS
  • FASTER EXACT ALGORITHMS FOR NP-COMPLETE PROBLEMS
  • APPROXIMATION ALGORITHMS FOR NP-COMPLETE PROBLEMS
  • LOCAL SEARCH ALGORITHMS
  • THE WIDER WORLD OF ALGORITHMS

Taught by:

  • Tim Roughgarden - Associate Professor, Computer Science

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