Introduction to Algorithms

Calendar

LEC #	TOPICS	KEY DATES
Unit 1: Introduction
1	Algorithmic thinking, peak finding	Problem set 1 out
2	Models of computation, Python cost model, document distance
Unit 2: Sorting and Trees
3	Insertion sort, merge sort	Problem set 1 due Problem set 2 out
4	Heaps and heap sort
5	Binary search trees, BST sort
6	AVL trees, AVL sort	Problem set 2 due
7	Counting sort, radix sort, lower bounds for sorting and searching	Problem set 3 out
Unit 3: Hashing
8	Hashing with chaining
9	Table doubling, Karp-Rabin	Problem set 3 due Problem set 4 out
10	Open addressing, cryptographic hashing	Problem set 4 due
	Quiz 1
Unit 4: Numerics
11	Integer arithmetic, Karatsuba multiplication	Problem set 5 out
12	Square roots, Newton’s method
Unit 5: Graphs
13	Breadth-first search (BFS)
14	Depth-first search (DFS), topological sorting	Problem set 5 due Problem set 6 out
Unit 6: Shortest Paths
15	Single-source shortest paths problem
16	Dijkstra
17	Bellman-Ford
18	Speeding up Dijkstra	Problem set 6 due
	Quiz 2
Unit 7: Dynamic Programming
19	Memoization, subproblems, guessing, bottom-up; Fibonacci, shortest paths	Problem set 7 out
20	Parent pointers; text justification, perfect-information blackjack
21	String subproblems, psuedopolynomial time; parenthesization, edit distance, knapsack
22	Two kinds of guessing; piano/guitar fingering, Tetris training, Super Mario Bros.	Problem set 7 due
Unit 8: Advanced Topics
23	Computational complexity
24	Algorithms research topics