This course will cover the most powerful, broadly useful design techniques for algorithms and prepare you for the advanced algorithms classes (523 and 529) and life in general (as a computer scientist). There is no formal textbook for this course; we will be using Jeff Erickson's comprehensive lecture notes and other freely available materials. If you find any errors in Prof. Erickson's materials, please let me know (I will keep track of these over the quarter and award bonus points accordingly).

A major goal of this course is to teach you to solve algorithmic problems with a particular emphasis on communicating solutions (oral and written).

Role Member Office Hours Location
 Lecturer 
Professor Borradaile Wednesday 1-2PM KEC 3071
 Teaching Assistants 
Anna Harutyunyan
Theresa Migler-Von Dollen
Monday and Wednesday 2-3.30 PM Atrium

Schedule

This schedule is tentative and subject to change.

Week Tuesday Thursday
1
Sept 26-30

Intro notes, including stable matching (in more depth)
Am-I-ready-for-this? Assignment, due Wednesday September 28 before noon.
Deposit your solutions in the envelope hanging on the wall beside KEC 3071.
Useful resources for this assignment:
proofs by induction, solving recurrence relations, depth-first search

Bonus: VCG auctions - forcing honesty in a loosely related problem

Divide and conquer.
Solutions to the Am-I-ready-for-this? Assignment?
2
Oct 3-7
Problem solving session 1: divide and conquer. Greedy algorithms.
3
Oct 10-14
(:cell :) Problem solving session 2: greedy algorithms.
Matroids.
Bonus: A discussion of greedy algorithms
4
Oct 17-21
Problem solving session 3: matroids. Dynamic programming (I).
5
Oct 24-28
Test 1 (divide & conquer, greedy, matroids).
(Prof. B out of town Monday and Tuesday.)
Dynamic programming (II).
6
Oct 31-Nov 4
Problem solving session 4: dynamic programming. Randomized algorithms.
Randomized min cut.
Testing sortedness.
7
Nov 7-11
Problem solving session 5: randomized algorithms.
If your group number is odd, solve the odd questions, if your group number is even, solve the even questions.
Network flow (I).
Max flow algorithms.
8
Nov 14-18
Test 2 (dynamic programming and randomized algorithms). Network flow (II).
9
Nov 21-25
Problem solving session 6: network flow. Thanksgiving - no class
10
Nov 28-Dec 2
Linear programming.
The simplex algorithm.
(Prof. B. out of town all week.)
Problem solving session 7: linear programming.
(Note: there will be no written solutions submitted for this session, but questions of this type are "fair game" for the final test.
(Prof. B. out of town all week.)
11
Exam week
Friday December 9 @ 9.30 AM: Test 3 (network flow and linear programming).

Evaluation

Your grade will be determined as follows:

Am-I-ready-for-this? Assignment 4%
Problem solving sessions 36% (6% each) - Tests 60% (20% each)

Please refer to the collaboration and academic honesty? and grading and late policies?.

Your grades indexed by code are available [https://docs.google.com/spreadsheet/pub?hl=en_US&hl=en_US&key=0Ah9y4X4qYHgOdDZQUWZoRGl3ZWFFUVpHdVJRTXlRdFE&single=true&gid=1&output=html here]. Your code is generated by multiplying the middle three digits of your OSU ID number by the last three digits of your OSU ID number.

Problem solving sessions

There will be no assignments in the traditional sense. Rather, you will be working much harder. Roughly every week, there will be a problem solving session, organized as follows:

  • Students are broken up in to groups of 2-4 (assigned randomly for each problem solving session).
  • Each group will prepare solutions to 2 assigned questions before the problem solving session.
  • At the problem solving session I will flag one problem for each group and groups will be paired up to teach and challenge:
    • Suppose groups A and B are paired. Group A will teach the solution to their flagged problem to Group B. Group B will challenge A to make sure that the answer is correct, going over the details and make sure they understand the solution completely. Group B will not take any written material from Group A, but may make their own notes. Groups A and B swap roles and repeat the process with B's flagged problem. It is the challenger's responsibility to make sure that the solution is correct. The challenger, in discussing the problem, may see a simpler solution. The best solution is what should be taken to the next phase.
    • Each group presents the solution that they were taught to the me, the TA and/or the class (depending on time). They will be graded on this presented solution. Group A's grade is determined by both their presentation and the presentation of their flagged problem by Group B.
    • Each group, using any feedback from the challenge or the presentation, must hand in a typeset solution to the problem they were taught before the start of the next class. See the guidelines for written assignments?. These solutions will be posted online to act as a study repository for the midterm and final - perhaps with a round of editing by the TA(s). Print this solution and turn in at the beginning of the next class.

Frequently asked questions

What if Group A couldn't get a solution to our problem before class?

  • Try to work out the solution with Group B. Partial solutions will garner partial marks. Group B may be able to help turn your partial solution into a full solution.

What if Group A didn't even get a partial solution to the problem selected for the teaching round?

  • Too bad! Group A will not participate as a teacher. Group A can still participate as a challenger but can earn at most 50% for this round. Group B's grade will be determined solely by Group A's presentation and can still earn full points. Your lowest problem solving session grade will be dropped.? You should still attend the session. Seeing the solutions to all the problems will (hopefully) be very useful for the midterm and exam.

What if member X of Group A cannot (or does not) help prepare solutions?

  • Member X may still participate as a challenger to Group B and earn up to 50% for the session. The rest of Group A can still earn full points.

What if member X cannot attend the problem solving session?