CS 218: Design and Analysis of Algorithms
Fall Quarter, 2012
(Dec 13) homework 5 solution posted
(Dec 6) problems discussed in class posted
(Nov 28) network flow slides posted, hw3 posted, hw4 solution posted, final syllabus posted
(Nov 14) greedy slides updated
(Nov 13) hw4 posted, hw3 solution posted, dynamic programming slides posted
(Nov 8) Midterm and solution posted
(Oct 30) hw2 solution posted, hw3 posted, greedy slides updated, midterm syllabus posted, mock exam posted
(Oct 23) slides "divide and conquer" updated
(Oct 22) Hw1 solution posted
(Oct 16) Hw2 posted
(Oct 12) Python examples posted
(Oct 8) Entrance exam posted
(Oct 2) Hw1 posted
(Oct 1) Our TA is Yi-Wen Yang
Lecture Schedule Resources Tutorials
Catalog description: CS 218. Design and
Analysis of Algorithms (4) Lecture, 3 hours; outside research, 3
hours. Prerequisite(s): CS 141. Study of efficient data structures and
algorithms for solving problems from a variety of areas such as
sorting, searching, selection, linear algebra, graph theory, and
computational geometry. Worst-case and average-case analysis using
recurrence relations, generating functions, upper and lower bounds,
and other methods. UCR course schedule,
UCR course
catalog.
Instructor:
Stefano Lonardi (stelo AT cs.ucr.edu)
Office hours: Wednesday 10:30-12noon. Office: Chung Hall 325.
Teaching Assistant:
Yi-Wen Yang (yyang027@ucr.edu)
Office hours: Mondays 2-3pm. Location: Chung Hall 110.
Lectures:
TR, 11:10am-12:30pm Chung Hall 142
Text Book:
Introduction to Algorithms (3rd Edition) by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Cliff Stein, MIT Press.
Prerequisites:
Graduate standing, undergraduate courses in algorithms and data structures.
Prerequisites by topic:
Discrete Math: asymptotic notation, basic summation formulas,
sets (operations on sets, relations, functions),
counting (permutations, sets, combinations, binomial coefficients),
probability (independence, random variable, expected value)
Basic Data Structures: array, list, queue, stack, binary search
trees, balanced binary search trees, heap
Sorting and Searching: quicksort, mergesort, heapsort, radix-sort,
binary search
Graph algorithms: DFS, BFS, connected components, biconnected components,
transitive closure
Digraph algorithms: DFS, BFS, strongly connected components, topological sorting
Tentative list of topics
Intro to Analysis: recurrence relations, master theorem, amortized analysis
Pattern matching: brute force, KMP, tries and suffix trees
Greedy: task scheduling, factional knapsack, Huffman codes, Dijkstra, Prim, Kruskal
Union-Find: list and tree implementation, union by rank and path compression, analysis
Divide and conquer: lineat-time selection, Strassen, FFT, Integer multiplication
Dynamic programming: Subset sum, LCS, matrix chain multiplication, Floyd-Warshall
Graph algorithms: Flow and matching
Numerical algorithms: primality testing, RSA
Data structures: binomial heaps and Fibonacci heaps, splay trees
Actual list of topics
Sep 27: Course overview, Analysis of Algorithms (1-27)
Oct 2: Analysis of Algorithms (28-53) [HW1 posted]
Oct 4: Analysis of Algorithms (54-61) [Entrance quiz]
Oct 9: Analysis of Algorithms (62-end), Divide and Conquer (1-15)
Oct 11: Divide and Conquer (16-35)
Oct 16: Divide and Conquer (36-64) [HW1 due, HW2 posted]
Oct 18: Divide and Conquer (65-end)
Oct 23: Greedy (1-33)
Oct 25: Greedy (34-58)
Oct 30: Greedy (59-79) [HW2 due, HW3 posted]
Nov 1: Greedy (80-119)
Nov 6: Midterm Prep
Nov 8: [Midterm (80mins, in class, closed book, closed notes)]
Nov 13: Midterm review, Greedy (120-end), [HW3 due, HW4 posted]
Nov 15: Dynamic Programming (1-26) guest lecture by Prof. Chrobak
Nov 20: Greedy (union-find proof), Dynamic Programming (27-35)
Nov 22: Thanksgiving
Nov 27: Dynamic Programming (36-end)[HW4 due, HW5 posted]
Nov 29: Network Flow (1-)
Dec 4: Network Flow (-end)
Dec 6: Review
Dec 13: Final [HW5 due] & [Final (time 11:30-2:30pm, closed book, closed notes)]
Slides
Intro [PDF 2pages/slide]
Algorithm Analysis [PDF 2pages/slide]
Divide and Conquer algorithms [PDF 2pages/slide]
Greedy algorithms [PDF 2pages/slide, updated Oct 30]
Dynamic Programming algorithms [PDF 2pages/slide]
Network flow algorithms [PDF 2pages/slide]
Python
Python examples
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