Course Scope: In this course, a thorough examination of several well-known techniques that are used for the design and analysis of algorithms will be covered. Topics to be covered include theoretical measures of algorithm complexity, sorting and selection algorithms, greedy algorithms, divide and conquer techniques, dynamic programming, graph algorithms, search strategies, and an introduction to the theory of NP-completeness. Additional topics may be covered if time permits. Students are expected to have taken prior undergraduate courses in data structures and algorithms, as well as calculus and discrete mathematics. Programming skills are also a prerequisite.
CS 310 and CS 330 Calculus (MATH 113, 114, 213) and MATH 125 Familiarity with a high-level programming language
Cormen, Leiserson & Rivest, Introduction to Algorithms, McGraw Hill, 1990
S. Dasgupta, C.H.Papadimitriou and U.V. Vazirani: Algorithms
There will be a midterm examination, several practice homework assignments, one programming projects and a comprehensive final examination. All required assignments must be completed by the stated due date and time. Late coursework will not be accepted and make-up tests will not be given for missed examinations. Please note that all coursework is to be done independently- see the GMU Honor Code System and Policies at http://www.gmu.edu/catalog/acadpol.html .
Tentative List of Topics:
|Growth of Functions||2|
|Summations and Recurrences||3,4|
|Counting and Probability||6|
|Sorting and Order Statistics||7 - 10|
|Graph Algorithms||23 - 26|
|NP-Completeness and Approximation Algorithms||36 - 37|
Please Note: You are expected to be familiar with the material in Chapters 1, 11 - 13, 19.