THIS PAGE IS PROVISIONAL. Document hand1.pdf contains the LATEST information about this course. This page will be UP-TO-DATE after the first day of classes. Before that day, consult hand1.pdf as the information below might be that of a previous semester.

A course on algorithms and data-structures. Methods for the analysis of algorithms are introduced, algorithms for sorting, searching, and selection, and data structures that support fast and efficient information retrieval are presented (hashing, heaps and priority queues with applications to data compression, binary search trees, red-black trees). Arithmetic algorithms. Greedy algorithms and dynamic programming-based techniques are introduced in the context of graph algorithms, arithmetic algorithms and text compression. Graph algorithms for traversals (depth-first, breadth-first), shortest-path problems, and spanning tree algorithms are also introduced. String matching algorithms. Introduction to NP-completeness.

INSTRUCTOR:	Alex Gerbessiotis	E-MAIL:	alg435@cs.njit.edu
OFFICE:	GITC 4213, 4th floor	TEL:	(973)-596-3244
OFFICE HOURS:	Tue 4:45-6:00pm and Wed 10:00-11:30am
OFFICE HOURS:	By appointment Tue/Wed/Thu
ASSISTANT:	TBA on course web-page
CLASS HOURS:	Wed 6:00-9:05pm Rm: TIER 112

Course Web Page: http://www.cs.njit.edu/~alexg/courses/cs435/index.html

The following also works: http://web.njit.edu/~alexg/courses/cs435/index.html

1.2 Course Administration

Prerequisites

CS 114, CS 241.

Textbook

T.C.Cormen, C.E.Leiserson, R.L.Rivest, and C. Stein. ``Introduction to Algorithms'', 3rt edition, McGraw-Hill, ISBN-10 : 0262033844, (ISBN-13: 978-0262033848). We abbreviate it in class as CLRS. Note that a 2nd edition is also available; Differences between the two are minor, and mainly on page numbers.

CourseWork:

4 exams (including the final); programming assignments.

Grades:

1000 points = PA(134)+ Ex1 (100) + Ex2 (333) + Ex3 (100) + Ex4(333).

PA1-3

3 programming assignments(PAs) will be handed out. Each one is worth 134 points. You get 134 points credit towards the final grade as long as you collect 134 or more points from any combination of the three PAs (you can do one, or two, or all, completely, or in part); 133 or fewer will gain you 0 points towards the final grade.

PA Dates

Programs MUST be received by email before midnight of the day indicated in the calendar. Submit early, do not wait until the very end; you might get sick, you might get called for jury duty. The indicated date is the last day we must receive your submission, and we will acknowledge it promptly by email. Follow Handout 2 for compliant forms of an email submission. No late work is accepted since one programming assignment can still satisfy the programming assignment requirement. Plan ahead of time, and submit early.

Practice PS

Approximately eight problem sets PS1-8 will be periodically posted along with their solutions. Exams 1 and 3 will draw from these problem sets for some or all of their problems.

Exams

Dates in Course Calendar. Exam 1 is closed-everything. The other three exams are open-textbook only. You may bring a copy of the textbook but you are not allowed to borrow one during the exam. For the final, you may also bring in class a clean copy of Handout 5 on red-black trees in addition to the textbook. Exam1 is on Wed Feb 16, 45min, 100 points. Exam2 is on Wed Mar 9 , 90min, 333 points. Exam3 is on Wed Apr 13, 45mins, 100 points. Exam4 is on Wed May 11, 2hrs, 333 points (double check with the Registrar).

Exam Conflicts

This is a high-numbered required course. In case of multiple exams on a same day, this exam has priority even if it is the last exam of the day.

Objective 1

Learn how to describe the asymptotic performance of algorithms and data structures.

Objective 2

Learn how to derive and determine the asymptotic performance of algorithms and data structures.

Objective 3

Learn how fundamental algorithms and data-structures operate, and understand their characteristics. Be able to choose among a variety of similar ones based on problem/program specification and requirements.

Objective 4

Learn how to compose more complex algorithms using as building blocks the fundamental algorithms introduced in class.

Objective 5

Learn how to compose more complex algorithms using the algorithmic design techniques introduced in class.

Outcome 1

Be able to asymptotically compare functions using o,O,omega,Omega,Theta.

Outcome 2

Be able to solve recurrences using the master, the iteration/recursion tree, and the substitution method.

Outcome 3

Become familiar with a variety of sorting algorithms and their performance characteristics (eg, running time, stability, space usage) and be able to choose the best one under a variety of requirements.

Outcome 4

Be able to understand fundamental algorithms and data structures and be able to trace their operations for problems such as sorting, searching, selection, operations on numbers, polynomials and matrices, and graphs.

Outcome 5

Be able to identify the performance characteristics of fundamental algorithms and data structures for problems such as sorting, searching, selection, operations on numbers, polynomials and matrices, and graphs.

Outcome 6

Be able to understand fundamental algorithm design techniques and understand how to use them to solve a variety of algorithmic problems.

Outcome 7

Be able to use the fundamental algorithms introduced in class to design algorithms for more complex problems and analyze their performance.

Outcome 8

Be able to use the design techniques introduced in class to design algorithms for more complex problems and analyze their performance.

• T1 : AL1(1)/AL2(1)/AL3(1): Introduction, Algorithm Design Techniques (Incremental, Divide-and-Conquer)
  T2 : AL1(2)/AL2(1)       : Sorting Algorithms (Insertion, Selection, BubbleSort, MergeSort) Asymptotic growth of functions 
  T3 : AL1(3)              : Recurrences
  T4 : AL3(3)              : Brief Review on elementary data structures (Stacks,Queues,Trees,Lists)
  T5 : AL2(2),AL8(1)       : HeapSort,PriorityQueues,Huffman Coding,and QuickSort(Worst-case and Average-case analysis)
  T6 : AL3(2),AL8(1)       : Distribution-based sorting(Count/Radix/Bucket-Sort).Lower bounds on comparison-based sorting. 
  T7 : AL3(3)              : Selection. Selection in Linear Time.
  T8 : AL3(3)              : Hashing, Balanced Binary Search Trees ( Red-Black Trees).
  T9 : AL2(2),AL3(1)       : Dynamic Programming and Chained Matrix Multiplication,Arithmetic problems
  T10: AL3(2),AL8(1)       : Union Find Algorithms; Introduction to Graph Algorithms
  T11: AL2(1)AL3(2)        : Depth First Search,Breadth First Search,Minimum Spanning Trees.
  T12: AL3(3)              : Shortest path Algorithms (Dijkstra and Floyd-Warshall)
  T13: AL6(3)              : NP-completeness.
  

Section 2.2 of the previous page contains a tentative list of topics that is intended to be covered in class. The code Ti refers to a topic. A topic may spread over one or more lectures. The code ALi refers to the ACM Computing Curricula 2001 topic description code. In parentheses, we provide an approximate number of hours per topic. Hour coverage may change depending on circumstances (eg. class pace, weather). Minimum time requirements of the topics covered are. AL1 (Basic algorithmic analysis):4, AL2 (algorithmic strategies): 6, AL3 (fundamental computing algorithms):12, AL6 (the complexity classes P and NP) optional.

Week       Wed   PS/EXAM     PA          Comments
W1         1/19  PS1*        PA1-3out    Due by corresponding exam  
W2         1/26  PS2*                    date                      
W3         2/2   PS3*                                             
W5         2/9   PS4*                                            
W4         2/16  EXAM1       PA1in       MOVED to 2/23 (check web-page)       
W6         2/23  PS5*                                          
W7         3/2   PS6*                                         
W8         3/9   EXAM2      PA2in        MOVED to 3/23 (check web-page)
W-         3/16                           Spring Recess; no classes  
W9         3/23  PS7*                                   
W10        3/30                                        
W11        4/6   PS8*                                 
W12        4/13  EXAM3      PA3in               
W13        4/20                                     
W14        4/27                                    
W15        5/4   Reading Day             5/5 -5/11 is exam week    
W16        5/11  EXAM4                   5/11 is FINAL EXAM DAY   

* Problem Sets (PS) with solutions are not for credit. ** In this calendar, a week starts on a Thursday

MISSING CLASS

If you miss a class and there is no EXAM or PA due it's up to you to make up for lost time.

MISSING PA

There are three scheduled programming assignments and only one is needed to collect the 134 points for the course. Plan ahead of time and submit early; do not wait until the last PA or the last moment to submit. No extensions are granted for any reason, medical or otherwise.

MISSING EXAM

If you miss an exam and there is a valid documentation for your absence, such documentation must be presented within 3 working days from the day the reason for the absence is lifted. The maximum accommodation will be the number of missing days to the exam date. If you miss Exam1 or Exam3, then the Exam2 or Exam4 grade will be used respectively in such a case; no makeup will be provided for Exams 1 and 3.

Programs

Code must be ANSI compliant and neither hardware-specific nor OS-specific. Check Handout 2 for more information on the programming assignments. Programming problems are graded based on test instances decided by the grader on a test platform of the grader's choice (e.g. AFS). Do not expect partial credit if your code fails to run on all test instances unless you accompany your code submission with a detailed bug report.

Extensions

As stated earlier, no extension will be granted for the PAs for any reason. Therefore do no try to act opportunistically i.e skip PA1 and PA2 and aim at doing PA3 completely and correctly to collect 134 points. You might get sick for the period leading to PA3 or called for jury duty or something else might occur and we will grant you no extension for that, even if you have proper documentation.

Grading

Written work will be graded for conciseness and correctness. Use formal arguments, be brief and to the point, and write clearly. Material covered in class and appearing in the relevant notes and chapters of the designated textbook can be used without proof. Excess Programming points can be used to boost your course grade (we account them separately). DO NOT USE pencils to write down your solutions; if you decide to use a pencil do not complain about grading.

Grades

Check the marks in written work and report errors promptly. Resolve any issue related to Ex1-Ex3 and PA1-3 no later than the Reading Day. If you believe a grade you received for the solution of a problem is not representative of your effort, talk to the grader first and then to the instructor (if different). For programming assignments an email with your grade is sent back to you by replying to the email submission of the PA. The final grade is decided based on a 0 to 1000 point scale. A student who collects at least 500 points and completes the minimum programming requirements should expect a grade of C or better; 800 points or more are usually required for an A. The instructor reserves the right to push a student's grade up based on that student's significant programming effort.

Incomplete

A grade of I (incomplete) is given in rare cases where work can not be completed during the semester due to documented long-term illness or absence (e.g. unexpected national guard duty). A student needs to be in good standing (i.e. is passing the course otherwise before the absence and have satisfied programming requirements) and receives an I if there is no time to makeup for the documented lost time. Not showing up in the final will probably get you an F rather than an I.

Collaboration

Collaboration of any kind is NOT allowed in the in-class exams. Students who turn in code obtained through the Internet or otherwise, or is product of another person's/student's work, risk severe punishment, as outlined by the University. The work you submit must be the result of your own effort.

Mobile Devices

Mobile phones/devices and/or laptops/notebooks MUST BE SWITCHED OFF (NOT JUST SILENCED) before the class exams. Switch off noisy devices also before class.

Email/SPAM

Send email from an NJIT email address. NJIT spam filters or us will filter other email address origins. Do not send course email to the instructor's email address unless there is a good reason (e.g. you don't want the grader to read the email or it's urgent and you believe the instructor will respond faster). Include CS 435 in the subject line then.