Divide and Conquer, Sorting and Searching, and Randomized Algorithms

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Free Online Course: Divide and Conquer, Sorting and Searching, and Randomized Algorithms provided by Coursera is a comprehensive online course, which lasts for 4 weeks long, 17 hours worth of material. The course is taught in English and is free of charge. Upon completion of the course, you can receive an e-certificate from Coursera. Divide and Conquer, Sorting and Searching, and Randomized Algorithms is taught by Tim Roughgarden.

Overview
  • The primary topics in this part of the specialization are: asymptotic ("Big-oh") notation, sorting and searching, divide and conquer (master method, integer and matrix multiplication, closest pair), and randomized algorithms (QuickSort, contraction algorithm for min cuts).

Syllabus
    • Week 1
      • Introduction; "big-oh" notation and asymptotic analysis.
    • Week 2
      • Divide-and-conquer basics; the master method for analyzing divide and conquer algorithms.
    • Week 3
      • The QuickSort algorithm and its analysis; probability review.
    • Week 4

      • Linear-time selection; graphs, cuts, and the contraction algorithm.