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algorithm-syllabus's Introduction

Tentative outline for algorithm curriculum (currently based on lectures from last course offering)

Course: Stanford's Algorithm: Design and Analysis, Part 1 by Tim Roughgarden

Book: The Algorithm Design Manual

  • The tilde ~ means something is optional, but for the purposes of this group you should probably read/complete it.
  • Exercises from the book would probably be good practice but can be considered optional; course exercises take precedence.

Index

Schedule

1/19/2015

Themes

Asymptotic Analysis, Divide-and-conquer, Merge Sort

Lectures

  • Week 1 - Introduction

  • Week 1 - Asymptotic Analysis

  • Week 1 - Divide & Conquer Algorithms

Chapters

  • 1 - Introduction to Algorithm Design ~

  • 2 - Algorithm Analysis

  • 4 - Sorting and Searching

    • Sections

      • 1 - Applications of Sorting

      • 2 - Pragmatics of Sorting

      • 5 - Merge Sort

      • 10 - Divide-and-Conquer

Additional Resources


1/26/2015

Themes

Master Method, QuickSort

Lectures

  • Week 2 - The Master Method

  • Week 2 - Quicksort - Algorithm

  • Week 2 - Quicksort - Analysis

  • Week 2 - Probability Review ~

Chapters

  • 4 - Sorting and Searching

    • Sections

      6 - Quicksort: Sorting by Randomization

Additional Resources


2/2/2015

Themes

Linear-Time Selection, Graphs

Lectures

  • Week 3 - Linear-Time Selection

  • Week 3 - Graphs And The Contraction Algorithm

Chapters

  • 4 - Sorting and Searching

    • Sections

      6 - Quicksort: Sorting by Randomization, again

  • 5 - Graph Traversal

    • Sections

      1 - Flavors of Graphs

      2 - Data Structures for Graphs

      3 - War Story: I was a Victim of Moore's Law

      4 - War Story: Getting the Graph

Additional Resources


2/9/2015

Theme

Graphs

Lecture

  • Week 4 - Graph Search And Connectivity

Chapter(s)

  • 5 - Graph Traversal
  • 6 - Weighted Graph Algorithms

Additional Resources


2/16/2015

Themes

Graph Traversal, Heaps, Trees

Lectures

  • Week 5 - Dijkstra's Shortest-Path Algorithm

  • Week 5 - Heaps

  • Week 5 - Balanced Binary Search Trees

Chapters

  • 5 - Graph Traversal

  • 3 - Data Structures


2/23/2015

Themes

Hashing, Bloom Filters

Lectures

  • Week 6 - Hashing: The Basics

  • Week 6 - Universal Hashing

  • Week 6 - Bloom Filters

Chapters

  • 3 - Data Structures

    • Sections

      7 - Hashing and Strings

  • 12 - Data Structures

    • Sections

      5 - Set Data Structures

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