This course explores various techniques used in the design and analysis of computer algorithms. Topics covered include sorting, search trees, hashing, dynamic programming, greedy algorithms, amortized analysis, graph algorithms and basic compexity theory. Time permitting additional advanced topics might be covered.
The required textbook for this course is Introduction to Algorithms (Third Edition) by Cormen, Leiserson, Rivest and Stein. Most of the topics and examples covered in this course will be adapted from this text.
This course focuses on the theoretical aspects of designing and analyzing correct and efficient algorithms. Accordingly, there are no programming projects. Problem set assignments and exams will instead require pencil and paper analysis.
In more detail, grades in this course will be based on problem sets, a midterm, and a non-cumulative final.
The problem set problems will be graded on the following scale: check plus (correct answer with at most minor issues), check (shows understanding but has at least one major issue), and zero (does not demonstrate a reasonable understanding of the problem, or we could not follow your solution). Each check plus earns you 4 points, each check 2 points, and each zero, of course, 0 points. At the end of the semester, I add up all the points you earned, and this number is your problem set score.
Each problem set will be returned to you along with sample solutions, grading notes, and a guide to mapping your point score to a letter grade scale. Though this mapping will vary from problem set to problem set, depending on length and difficulty, in most cases, to earn an A on a problem set you should be aiming to get a check plus on most problems.
The midterm will be taken in class and will cover material from the first half of the class. The final exam will be taken during the final exam period and will cover material from the second half of the class. That is, the final exam is not cumulative. The midterm will be returned to you with sample solutions, grading notes, and a guide to mapping your numerical score to a letter grade.
In determining your final grade, I will add up the total points you earned on problem sets, the total points you earned on your midterm, and the total points you earned on your final. I will then map your point sum to a final letter grade.
To do so, I add to our class grading spreadsheet invented A, B, C, and D students. For each assignment and exam I give the A student the score that corresponds to the middle of the A range, the B student the score that corresponds to the middle of the B range, and so on. At the end of the class, I sum up the scores in these rows to establish a basic point range for A, B, C, and D grades. I use these to help inform the final mapping of your numerical score to a letter grade.
Notice, the total points available for the problem sets will add up to be roughly 50% of the total possible points, with the total points available on the midterms and final each adding up to roughly 25% of the available points.
If you have any questions about your current course performance please do not hesitate to talk to me. I do not want your final grade to be a surprise.
I will hold regular office hours from 2:00 to 3:30 pm on Monday, in my office at 334 Saint Mary's Hall. I'm also always available for quick questions immediately following class.
For quick questions, I prefer talking in person immediately following class or in office hours. For complicated technical questions, asking me in person during office hours is also usually best.
If neither option works, you can email me at firstname.lastname@example.org. A few notes about email communication:
The teaching assistant for our class is Sam Balthazard (email@example.com). He will primarily be responsible for helping with problem set grading. If there is enough demand from students, it is possible that he will also hold regular office hours to discuss the problem sets.
The course schedule below describes when each problem set is assigned, when it is due, and what lectures it covers. I will post a link for downloading each problem set on the course schedule on the day the problem set is assigned. Keep in mind that the problem set schedule on the course schedule is preliminary and might shift as the semester progresses.
The following rules describe my expectations and grading policies for problem sets:
There will be two exams in the course: a midterm and a final. The final exam is not cumulative; that is, it covers material from the second half of the course.
I take academic integrity seriously. To repeat the problem set instructions from above: You can work in groups of at most three people on the problem sets. All students must write up their own answers and record on the top of the problem set any group members they worked with.
You many only discuss problems with me, your group members, and teaching assistant. The only materials you can reference when working on these problems are your course notes and the assigned textbook. In particular, you may not reference online sources.
You may not bring any outside material into exams.
You may not reference any problem sets, exams, or solutions from prior teachings of this course.
Violating these rules will lead to a zero on the assignment and potential reporting to the academic honor council.
When in doubt, ask me what is allowed.
Below is the current schedule for the course. I might adjust this schedule as the semester progresses so please keep checking back for the latest version.
|Class Number||Date||Description||CLRS Chapters|
|Part 1: Algorithm Basics|
|Mon 9/3||No class: Labor Day|
|2||Wed 9/5||Tools: correctness proofs, step complexity and asymptotic analysis||2,3|
|3||Mon 9/10||Tools: Recurrences: recursion trees and master method||4|
Tools: probabilistic analysis and randomized algorithms
|5||Mon 9/17||Divide and conquer: basic technique, mergesort, quicksort||2,7|
|6||Wed 9/19||Advanced sorting: randomized quicksort, sorting lower bounds||7,8|
Advanced sorting (cont.): linear time sorting. Time permitting: dynamic sets
and binary search tree basics.
|Part 2: Advanced Data Structures and Design/Analysis Techniques|
|8||Wed 9/26||Search trees||12|
|10||Wed 10/3||Amortized analysis (cont.); dynamic programming (part 1)||15|
|Mon 10/8||No class: mid-semester holiday|
Dynamic programming (part 2)
|14||Mon 10/22||Hashing questions; Greedy algorithms||22|
|Part 3: Graph Algorithms|
Graph representation, graph search, topological sort
|16||Mon 10/29||Midterm (covers parts 1 and 2)|
|17||Wed 10/31||Minimum spanning trees||23|
Minimum spanning trees (cont)
|19||Wed 11/7||Shortest paths||26|
|20||Mon 11/12||Flows and cuts||26|
Flows and cuts (cont)
|Part 4: Computability and Complexity Theory|
|22||Mon 11/19||Decision problems and computability||34|
|23||Wed 11/21||Complexity theory basics|
|24||Mon 11/26||NP completeness||34|
NP completeness (cont)
|Part 5: Advanced Topics|
|26||Mon 12/3||Approximation algorithms|
|27||Wed 12/5||Advanced topic (tbd.)|
|28||Mon 12/10||Final exam review|
|Thur 12/13||Final Exam (12:30 to 2:30pm in Saint Mary's 111)|