6.046J Design and Analysis of Algorithms (Spring 2015, MIT OCW) | Computer Science

6.046J Design and Analysis of Algorithms

6.046J Design and Analysis of Algorithms (Spring 2015, MIT OCW). Instructors: Prof. Erik Demaine, Prof. Srinivas Devadas, and Prof. Nancy Lynch. This is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of efficient algorithms, emphasizing methods of application. Topics include divide-and-conquer, randomization, dynamic programming, greedy algorithms, incremental improvement, complexity, and cryptography. (from ocw.mit.edu)

Overview

Lecture 01 - Overview, Interval Scheduling

Lecture 02 - Divide and Conquer: Convex Hull, Median Finding

Lecture 03 - Divide and Conquer: FFT

Lecture 04 - Divide and Conquer: van Emde Boas Trees

Lecture 05 - Amortization: Amortized Analysis

Lecture 06 - Randomization: Matrix Multiply, Quicksort

Lecture 07 - Randomization: Skip Lists

Lecture 08 - Randomization: Universal and Perfect Hashing

Lecture 09 - Augmentation: Range Trees

Lecture 10 - Dynamic Programming: Advanced DP

Lecture 11 - Dynamic Programming: All-Pairs Shortest Paths

Lecture 12 - Greedy Algorithms: Minimum Spanning Tree

Lecture 13 - Incremental Improvement: Max Flow, Min Cut

Lecture 14 - Incremental Improvement: Matching

Lecture 15 - Linear Programming: LP, Reductions, Simplex

Lecture 16 - Complexity: P, NP, NP-completeness, Reductions

Lecture 17 - Complexity: Approximation Algorithms

Lecture 18 - Complexity: Fixed-Parameter Algorithms

Lecture 19 - Synchronous Distributed Algorithms: Symmetry-Breaking. Shortest-Paths Spanning Trees

Lecture 20 - Asynchronous Distributed Algorithms: Shortest-Paths Spanning Trees

Lecture 21 - Cryptography: Hash Functions

Lecture 22 - Cryptography: Encryption

Lecture 23 - Cache-Oblivious Algorithms: Medians and Matrices

Lecture 24 - Cache-Oblivious Algorithms: Searching and Sorting

References

6.046J Design and Analysis of Algorithms (Spring 2015)
Instructors: Prof. Erik Demaine, Prof. Srinivas Devadas, and Prof. Nancy Lynch. Lecture Notes. Exams and Solutions. Assignments and Solutions. Recitation Notes and Videos. Syllabus.