CS 483 Fall 2013
Design and Analysis of Algorithms

Lecture time: Tuesday and Thursday 3:00pm - 4:15pm
Location: Art and Design Building 2026
Course webpage: http://www.cs.gmu.edu/~lifei/teaching/cs483-fall13
Credit: 3 

Instructor: Fei Li, Room 5326, Engineering Building, email: mailto:lifei@cs.gmu.edu
Office hours: Wednesday 5:00pm – 7:00pm

Teaching assistant: Yue Ning, Engineering Building, email: https://r3.res.outlook.com/owa/14.16.335.0/themes/resources/clear1x1.gifhttps://r3.res.outlook.com/owa/14.16.335.0/themes/resources/clear1x1.gifmailto:yning@gmu.edu

Office hours: Fridays 1:00pm – 3:00pm


News:


Course overview:

In this course, a thorough examination of several well-known techniques that are used for the design and analysis of efficient algorithms will be covered. Topics to be covered include theoretical measures of algorithm complexity, greedy algorithms, divide and conquer techniques, dynamic programming, graph algorithms, search strategies, and an introduction to the theory of NP-completeness.

Prerequisites:

CS 310 and CS 330 Calculus (MATH 113, 114, 213) and MATH 125. Please contact with the instructor if you are not sure.

Textbook:

Algorithm Design by Jon Kleinberg and Éva Tardos, Addison Wesley (2006).

Course materials:

 

Lecture

Date

Topic

Lecture Notes

Scope

Assignments

Note

1

August 27, 29

Introduction

Introduction

Stable Matching

 

2

September 3, 5

Asymptotic Notation

3

September 7, 9

Graphs

4

September 17, 19

Greedy

5

September 24, 26

Greedy

6

October 1, 3

Divide-and-Conquer

7

October 8, 10

Divide-and-Conquer

Review

8

Columbus day recess (October 15)

Midterm (October 17)

October 17

9

October 22, 24

Dynamic Programming

10

October 29, 31

Dynamic Programming

11

November 5, 7

Dynamic Programming

 

12

November 12, 14

Maximum Flow

13

November 19, 21

Thanksgiving recess (November 28)

November 26

Some Advanced Topics

14

December 3

Review

Final exam

December 12

1:30pm – 4:15pm

Topics:

In this course, we will consider the algorithm design and analysis techniques of various problems coming from the following areas:

Analysis of Algorithm Efficiency (asymptotic notation, amortized analysis)

Brute Force Techniques (sorting, search, traveling salesmen)

Divide and Conquer (merge sort, quicksort, matrix multiplication, polynomial multiplication)

Graph decomposition and search (connected components, shortest path problem)

Greedy Techniques (minimum spanning tree, Huffman trees)

Dynamic Programming (edit distance,matrix chainmultiplication, knapsack, all pairs shortest paths)

Linear Programming (network flows, matching, simplex, duality)

Randomized Algorithms

Course outcomes:

An understanding of classical problems in Computer Science

An understanding of classical algorithm design and analysis strategies

An ability to analyze the computability of a problem

Be able to design and analyze new algorithms to solve a computational problem

An ability to reason algorithmically

Tentative grading:

Weekly assignments (45%)

Midterm Exam (20%)

Final Exam (35%)

Policies:

Hand in hard copies of assignments in class. Please note that all coursework is to be done independently. Plagiarizing the homework will be penalized by maximum negative credit and cheating on the exam will earn you an F in the course. See the GMU Honor Code System and Policies at http://www.gmu.edu/catalog/acadpol.html andhttp://www.cs.gmu.edu/honor-code.html. You are encouraged to discuss the material BEFORE you do the assignment. As a part of the interaction you can discuss a meaning of the question or possible ways of approaching the solution. The homework should be written strictly by yourself. In case your solution is based on the important idea of someone else please acknowledge that in your solution, to avoid any accusations.

Academic honesty:

The integrity of the University community is affected by the individual choices made by each of us. GMU has an Honor Code with clear guidelines regarding academic integrity. Three fundamental and rather simple principles to follow at all times are that: (1) all work submitted be your own; (2) when using the work or ideas of others, including fellow students, give full credit through accurate citations; and (3) if you are uncertain about the ground rules on a particular assignment, ask for clarification. No grade is important enough to justify academic misconduct. 

Plagiarism means using the exact words, opinions, or factual information from another person without giving the person credit. Writers give credit through accepted documentation styles, such as parenthetical citation, footnotes, or endnotes. Paraphrased material must also be cited, using MLA or APA format. A simple listing of books or articles is not sufficient. Plagiarism is the equivalent of intellectual robbery and cannot be tolerated in the academic setting. If you have any doubts about what constitutes plagiarism, please see me.

Disability statement:

If you have a learning or physical difference that may affect your academic work, you will need to furnish appropriate documentation to the Disability Resource Center. If you qualify for accommodation, the DRC staff will give you a form detailing appropriate accommodations for your instructor.

In addition to providing your professors with the appropriate form, please take the initiative to discuss accommodation with them at the beginning of the semester and as needed during the term. Because of the range of learning differences, faculty members need to learn from you the most effective ways to assist you. If you have contacted the Disability Resource Center and are waiting to hear from a counselor, please tell me.