Tuesday and Thursday, 4:00-5:20 PM, Zoom Meeting ID 153 784 362. (Alternative means of connecting to Zoom)
Instructor: Brendan Juba
Office Hours: 5:20-6:00, (after lecture)
Email: ![]()
Please use the class Piazza board for all course-related communication We will use it for course announcements. Email of a personal/confidential nature may be directed to the instructor at the email above.
TA office hours will be held via Zoom for the remainder of the semester.
The schedule of topics for class meetings and of assignments may be subject to change as the semester progresses. Readings marked "KT" refer to sections of the course text relevant to each class. Assignments will be linked from the schedule as they are assigned. Lecture notes and source files for these notes are also posted here. Here is a file containing definitions of additional commands needed to compile the TeX source for the lecture notes: notes-preamble.tex
| Lecture no. | Topic | Dates | Homework |
| Lec. 1 | Divide-and-Conquer I Matrix multiplication and Strassen's algorithm summary TeX source | 1/14 |
Assigned:
Review Ch. 2 of KT (asymptotic analysis). Review KT 5.1-5.2 (divide and conquer algorithms) |
| Lec. 2 | Greedy Algorithms I Scheduling KT 4.1 summary TeX source | 1/16 | Assigned: Homework 1 |
| Lec. 3 | Dynamic Programming I Weighted Scheduling KT 6.1-6.2 summary TeX source | 1/21 | |
| Lec. 4 | Divide-and-Conquer II: The closest pair problem KT 5.4 summary TeX source | 1/23 | Assigned: Review Ch. 3 of KT (on graphs). |
| Lec. 5 | Greedy Algorithms II Scheduling all requests; start Minimum Spanning Tree finish KT 4.1, start KT 4.5 summary TeX source | 1/28 |
Due:
Homework 1 Assigned: Homework 2 |
| Lec. 6 | Greedy Algorithms III Two algorithms: Kruskal and Prim finish KT 4.5 summary TeX source | 1/30 | |
| Lec. 7 | Dynamic Programming II Knapsack and Sequence Alignment KT 6.4, 6.6 summary TeX source | 2/4 |
Due:
Homework 2 Assigned: Homework 3 |
| Lec. 8 | Max Flow I Ford-Fulkerson Algorithm KT 7.1 summary TeX source | 2/6 | Break | No lecture | 2/11 |
Due:
Homework 3 Assigned: Homework 4 sample midterm exam |
| Lec. 9 | Max Flow II Min-Cut KT 7.2, start 7.5 summary TeX source | 2/13 | |
| Lec. 10 | Reductions I Matchings and more finish KT 7.5, 7.10, start 8.1 summary TeX source | 2/18 |
Due:
Homework 4 |
| Exam 1 | Midterm Exam 1(in class) | 2/20 | |
| Lec. 11 | Reductions II Relating problems finish KT 8.1, start 8.2 summary TeX source | 2/25 | Assigned: Homework 5 |
| Lec. 12 | Intractability and NP-completeness KT finish 8.2, 8.3, start 8.4 summary TeX source | 2/27 | |
| Lec. 13 | Intractability via Reductions I KT finish 8.4, 8.8 summary TeX source | 3/3 |
Due:
Homework 5 Assigned: Homework 6 Review basic probability, KT 13.12, KT 13.3 |
| Break | Lecture cancelled | 3/5 | Holiday | Spring Break - no lecture | 3/10 | Holiday | Spring Break - no lecture | 3/12 |
| Pandemic | Transition to on-line - Lecture cancelled | 3/17 | |
| Pandemick | Transition to on-line - Lecture cancelled | 3/19 | |
| Lec. 14 | Average-case analysis: Naive trees and hashing summary TeX source | 3/24 |
Due:
Homework 6 |
| Lec. 15 | Randomized algorithms I From trees to treaps Roughly, KT 13.5; see also KT 13.9 summary TeX source | 3/26 | Assigned: Homework 7 |
| Lec. 16 | Intractability via Reductions II KT 8.5, 8.7 summary TeX source | 3/31 | |
| Lec. 17 | Randomized algorithms II Hashing KT 13.6 summary TeX source | 4/2 |
Due:
Homework 7 Assigned: Homework 8 |
| Lec. 18 | Randomized algorithms III: Algorithms that may err KT 13.2, start 4.6 summary TeX source | 4/7 |
Sample midterm exam on Canvas |
| Lec. 19 | On-line algorithms I: Amortized Analysis KT 4.6, start 13.8 summary TeX source | 4/9 |
Due:
Homework 8 |
| Exam 2 | Midterm Exam 2(in class) | 4/14 | |
| Lec. 20 | On-line algorithms II: Competitive Analysis KT 13.8, 11.1 summary TeX source | 4/16 | Assigned: Homework 9 |
| Lec. 21 | Approximation algorithms I Random solutions; start LPs KT 11.3, 13.4, start 11.6 summary TeX source | 4/21 | |
| Lec. 22 | Approximation algorithms II Relaxing and rounding KT 11.6, summary of 11.8 summary TeX source | 4/23 |
Due:
Homework 9 Assigned: Homework 10 (Extra credit) Practice final exam on Canvas |