Fundamental Algorithms

Alan Siegel

Lecture: T 5:10-7:00, Room 109

Recitation: Th 5:10-6:00, Room 109

Office Hours: T 2-3, Th 6-7 and by appointment
Office: 330 Phone: 998-3122

This course covers the design and analysis of combinatorial algorithms. The curriculum is concept-based and emphasizes the art of problem-solving. The class features weekly exercises designed to strengthen conceptual understanding and problem solving skills. Students are presumed to have adequate programming skills and to have a solid understanding of basic data structures and their implementation in the programming languages of their choice. Although some mathematical sophistication is very helpful for this course, the necessary mathematics is contained within the curriculum.

In some recitation sessions, sophisticated problems will be solved by the class in closely supervised individual, collaborative, and group efforts. Other recitation sessions will be used for additional lecture.

Required Text:

An Introduction to Algorithms: their Methods and ssendaM, by A.R. Siegel.
A BRAND NEW edition of the text is available at NYU Copy Central 547 LaGuardia Places Tel: 212.998.1050

Course Topics

Algorithmic Design Paradigms

The Greedy Method
Dynamic Programming
Sorting- and Selection-based processing
Algorithm Redesign and Adaptation
Problem Transformations

The Analysis of Algorithmic Performance

Asymptotic Growth
Recurrence Equations
The Recursion Tree Solution Method
Probabilistic Analysis
Structural Analysis
Lower Bounds

Managing Data for Efficient Processing

Lists, Stacks, Queues, Priority Queues, Trees and Graphs
Tarjan's Categorization of Data Structures
Search Trees and their Enhancement
Sorting, Selection, and Hashing

Selected Representative Algorithms/problems

Topological Sort
Connected Components
Biconnected Components and Strong Components
Representative styles of Dynamic Programming and their applications
Standard Sorting and Selection Algorithms
Selected topics in Hashing
Minimum Spanning Trees
Shortest Path Problems

An approximate schedule of topics can be found here.

It will change as the lectures and organization are adapted to fit the current time constraints.


Course Grading Policy