CS477/677: Analysis of Algorithms

Spring 2005

General Information Course Description Syllabus Assignments/Grading Announcements



Instructor: Monica Nicolescu

E-mail:monica@cs.unr.edu
Office:SEM 239
Phone:(775) 784-1687
Office hours:Tuesday, Thursday 11:00am-noon

Teaching assistant: Kai Xu

E-mail:xukai@cs.unr.edu
Office:SEM 255A (room 4)
Phone:TBD
Office hours:Monday, Wednesday, 9:30am-noon

Time and Place

Tuesday, Thursday: 1:00pm-2:15pm, SEM 326

Required Textbook

Introduction to Algorithms, Second Edition, 2001.
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein



Course description

The design and analysis of algorithms is the core subject matter of Computer Science. Given a problem, we want to (a) find an algorithm to solve the problem, (b) prove that the algorithm solves the problem correctly, and (c) prove that we cannot solve the problem any faster. Designing an algorithm for a computational problem involves knowledge of the problem domain, a thorough knowledge of the data structures that are available and suitable and no small measure of creativity. This course concentrates on the above problems, studying useful algorithmic design techniques, and methods for analyzing algorithms.

Prerequisites

CS 365. Good knowledge of data structures (such as linked lists and trees) and a good mathematical background are required.



Syllabus

Following are the topics that will be discussed, listed in the approximate order in which they will be covered.
  • Introduction/Mathematical Foundations (Chapters 1, 3, Appendix A)
  • Recurrences (Chapter 4)
  • Sorting Algorithms (Chapters 2, 8)
  • Randomized Algorithms (Chapters 5, 7, 9)
  • Data Structures (Chapters 6, 11, 12, 13, 14)
  • Greedy Algorithms (Chapter 16)
  • Dynamic Programming (Chapter 15)
  • Graph Algorithms (Appendix B4, Chapters 22, 23, 24, 25)
  • Selected Topics (Chapters 28, 30, 31, 34, 35)

Class schedule

The topics presented and the lecture notes for each class will gradually be posted below as we cover them in the class. The assignments and their due dates will also be posted in this table. Please check this web page regularly for updates.

Date Topic Readings Assignments

Jan 18

Introduction Chapter 1 ---

Jan 20

Asymptotic notations, recurrences Chapter 3, Appendix A ---

Jan 25

Solving recurrences Chapter 4 Hw1 out

Jan 27

Sorting --- ---

Feb 1

Sorting: Quicksort Chapter 7 Hw2 out

Feb 3

Sorting: Quicksort Chapter 7 ---

Feb 8

Homework problem review, exercise session --- Hw3 out

Feb 10

Sorting in linear time Chapters 7, 9 ---

Feb 15

Heaps Chapter 6 Hw4 out

Feb 17

No class --- ---

Feb 22

Binary search trees --- Hw 5 out

Feb 24

Red-black trees --- ---

Mar 1

Augmenting data structures --- ---

Mar 3

Mid-term review --- ---

Mar 8

MID-TERM --- ---

Mar 10

Mid-term discussion --- ---

Mar 15

Augmenting Data Structures, Hash Tables --- ---

Mar 17

Hash Tables --- Hw6 out

Mar 22

Dynamic Programming Chapter 15 ---

Mar 24

Dynamic Programming Chapter 15 Hw7 out

Mar 29

Spring Break - no class --- ---

Mar 31

Spring Break - no class --- ---

Apr 5

Dynamic Programming Chapter 15 ---

Apr 7

Dynamic Programming, Greedy Algorithms Chapters 15, 16 ---

Apr 12

Greedy Algorithms Chapter 16 ---

Apr 14

Greedy Agorithms, Graph Algorithms: BFS Chapters 16, 22 ---

Apr 19

Graph Algorithms: DFS, Topological Sort, Strongly Connected Components Chapter 22 Hw8 out

Apr 21

Graph Algorithms: Minimum Spanning Trees Chapters 22, 23 ---

Apr 26

Shortest Paths Algorithms: Single Source Shortest Paths Chapter 24 Hw9 out

Apr 28

Shortest Paths Algorithms: All Pairs Shortest Paths Chapter 25 ---

May 3

Review Lecture --- ---



Assignments and grading

Homework assignments: There will be 10 homework assignments. The homeworks and their due dates will be posted on the course web page. Homeworks are due on their specified date at the beginning of the class. Some assignments will contain extra-credit problems and some may have a programming component. For each assignment the undergraduate students are required to solve the problems labeled U-required, while graduate students are required to solve all the problems. For the assignments that include extra-credit problems, the undergraduate students can earn extra-credit by solving either the extra-credit or the graduate level problems. Solutions to all the problems assigned will be provided.

Please make sure that you have a CS department computer account - you will need it for the programming assignments. You can obtain a CS department account by filling out the account registration form at the CS department.

Late policy: each late homework will incur a 10% penalty for each day of delay, but no homeworks may be submitted later than 3 days after the deadline.

Academic integrity: Students are encouraged to study together, however each student must individually prepare his/her solutions. Cheating or plagiarism are not permitted and will be sanctioned according with the UNR policy on Academic Standards. You should carefully read the section on Academic Dishonesty found in the UNR Student Handbook (copies of this section are on-line). Your continued enrollment in this course implies that you have read it, and that you subscribe to the principles stated therein.

Exams: there will be one mid-term and one final exam. Both exams will be closed books, closed notes. Permission to take exams on other dates than scheduled will not be given, except for extreme medical emergencies.

Grading policy (tentative, subject to change):
Homework:40%
Mid-term:25%
Final exam:30%
Attendance and class participation:5%

Grading scheme (tentative, subject to change):
A:90 and above
B:80-89
C:65-79
D:55-64
F:<55




Announcements

Announcements regarding the assignments or other updates will be posted on the class web page and also sent by e-mail. Please check your UNR e-mail account, as this is the address I will use to contact you. If needed, implement e-mail forwarding.
  • Lectora workshops: Mar. 25 (Friday), 2:00-4:00 and Apr. 7 (Thursday), 1:00-3:00; Location: E.L. Cord Training Lab (main floor of Getchell Library)



Created by: Monica NICOLESCU (e-mail:monica@cs.unr.edu)
Last update: 04/12/2004