CS 218: Design and Analysis of Algorithms
Winter Quarter, 2006
Mar 16: "problems" slides posted.
Mar 15: Homework 5 solution posted.
Mar 10: Sample final (and solution) posted.
Mar 2: Homework 4 solution posted.
Mar 2: Homework 5 posted.
Feb 28: "Network flow" slides posted.
Feb 28: "Pattern matching" slides posted.
Feb 22: Homework 3 solution posted.
Feb 21: Homework 4 posted.
Feb 21: "Dynamic programming" slides updated.
Feb 17: Midterm and solution posted.
Feb 10: "Dynamic programming" slides posted.
Feb 8: Sample midterm (and solution) posted.
Feb 7: Homework 3 posted.
Feb 7: Homework 2 solution posted.
Feb 2: Homework 2 revised.
Feb 2: "Greedy" slides updated.
Jan 31: "Divide and conquer" slides posted.
Jan 27: "Greedy" slides updated.
Jan 26: due date of Hw2 postponed.
Jan 24: Homework 2 posted.
Jan 24: Homework 1 solution posted.
Jan 17: "Greedy algorithms" slides posted.
Jan 12: Homework 1 posted.
Jan 11: office hours today are cancelled.
Jan 9: "Algorithm analysis" slides posted.
Lecture Schedule Email list Resources Tutorials Animations
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 4-5:30pm. Office: Engineering 2, 317.
Teaching Assistant:
Kan Liu (kanliu AT cs.ucr.edu)
Office hours: Monday 10-11am (EBU II 110).
Lectures:
TR, 2:10pm-3:30pm Engineering 2, 139
Text Book:
Introduction to Algorithms (2nd 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
Jan 10: Course overview, Analysis of Algorithms (slides 1-21)
Jan 12: Analysis of Algorithms (slides 22-45) [HW1 posted]
Jan 17: Analysis of Algorithms (slides 46-61)
Jan 19: Analysis of Algorithms (slides 62-end), Greedy+UnionFind (slides 1-30)
Jan 24: Greedy+UnionFind (slides 31-54) [HW1 due, HW2 posted]
Jan 26: Greedy+UnionFind (slides 55-82)
Jan 31: Greedy+UnionFind (slides 83-124)
Feb 2: Greedy+UnionFind (slides 125-end), DivideEtImpera (slide 1-8)
Feb 7: DivideEtImpera (slide 9-49) [HW2 due, HW3 posted]
Feb 9: DivideEtImpera (slide 50-end)
Feb 14: Midterm review
Feb 16: [Midterm (80mins, in class, closed book, closed notes)]
Feb 21: Dynamic Programming (slides 1-23)[HW3 due, HW4 posted]
Feb 23: Dynamic Programming (slides 24-40)
Feb 28: Dynamic Programming (slides 41-63)
Mar 2: Dynamic Programming (slides 64-end), Pattern Matching (slides 1-25)[HW4 due, HW5 posted]
Mar 7: Pattern Matching (26-end), Flow (1-13)
Mar 9: Flow (14-51, skipped 45-49)
Mar 14: Flow (51-end)[HW5 due]
Mar 16: Review
Mar 20: 11:30-2:30pm [Final (in class, closed book, closed notes)]
Slides
Intro [PDF 2pages/slide]
Algorithm Analysis [PDF 2pages/slide]
Greedy algorithms [PDF 2pages/slide, updated Feb 2]
Divide and Conquer algorithms [PDF 2pages/slide]
Dynamic Programming algorithms [PDF 2pages/slide]
Pattern Matching algorithms [PDF 2pages/slide]
Network flow algorithms [PDF 2pages/slide]
Problems [PDF 2pages/slide]
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