Introduction to Algorithms (SMA 5503)

Video Lectures

Audio/video for lectures 20 and 21 are not available.

Lecture 1: Administrivia; Introduction; Analysis of Algorithms, Insertion Sort, Mergesort

Lecture 2: Asymptotic Notation; Recurrences; Substitution, Master Method

Lecture 3: Divide-and-Conquer: Strassen, Fibonacci, Polynomial Multiplication

Lecture 4: Quicksort, Randomized Algorithms

Lecture 5: Linear-time Sorting: Lower Bounds, Counting Sort, Radix Sort

Lecture 6: Order Statistics, Median

Lecture 7: Hashing, Hash Functions

Lecture 8: Universal Hashing, Perfect Hashing

Lecture 9: Relation of BSTs to Quicksort - Analysis of Random BST

Lecture 10: Red-black Trees, Rotations, Insertions, Deletions

Lecture 11: Augmenting Data Structures, Dynamic Order Statistics, Interval Trees

Lecture 12: Skip Lists

Lecture 13: Amortized Algorithms, Table Doubling, Potential Method

Lecture 14: Competitive Analysis: Self-organizing Lists

Lecture 15: Dynamic Programming, Longest Common Subsequence

Lecture 16: Greedy Algorithms, Minimum Spanning Trees

Lecture 17: Shortest Paths I: Properties, Dijkstra's Algorithm, Breadth-first Search

Lecture 18: Shortest Paths II: Bellman-Ford, Linear Programming, Difference Constraints

Lecture 19: Shortest Paths III: All-pairs Shortest Paths, Matrix Multiplication, Floyd-Warshall, Johnson

Lecture 22: Advanced Topics

Lecture 23: Advanced Topics (cont.)

Lecture 24: Advanced Topics (cont.)

Lecture 25: Advanced Topics (cont.) - Discussion of Follow-on Classes