[ Course Schedule | Midterm and Final | Homework Assignments | Recitations | Resources ]
Instructor: Gregory Valiant (email: gvaliant at cs)
Location and time: Monday and Wednesday 3:00 PM - 4:20 PM, NVIDIA Auditorium
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Course Description
This course will cover the basic approaches and mindsets for analyzing and designing algorithms and data structures. Topics include the following: Worst and average case analysis. Recurrences and asymptotics. Efficient algorithms for sorting, searching, and selection. Data structures: binary search trees, heaps, hash tables. Algorithm design techniques: divide-and-conquer, dynamic programming, greedy algorithms, amortized analysis, randomization. Algorithms for fundamental graph problems: minimum-cost spanning tree, connected components, topological sort, and shortest paths. Possible additional topics: network flow, string searching.
Prerequisites: CS 103 or CS 103B; CS 109 or STATS 116.
Requirements: 7 homework assignments (35%), a midterm (25%), and a final exam (40%).
Teaching Assistants
Luna Frank-Fischer [Head TA], luna16 at stanford
Dilsher Ahmed, dilsher at stanford
Michael Chen, mchen36 at stanford
Ashok Cutkosky, ashokc at stanford
Shloka Desai, shloka at stanford
David Eng, dkeng at stanford
Julien Kawawa-Beaudan, julienkb at stanford
Sam Kim, samhykim at stanford
Maxime Voisin, maximev at stanford
Daniel Wright, dlwright at stanford
Jimmy Wu, jimmyjwu at stanford
Andi Yang, andiy at stanford
Wilbur Yang, wilbury at stanford
Topics and readings for future lectures are tentative and may be changed as the course proceeds. The readings refer to the 3rd edition of CLRS (see Resources below), but older editions should be fine as well.
| Monday | Wednesday | Friday |
| 1/9 Introduction, Why are you here? Read: Ch. 1 Notes (draft) |
1/11 MergeSort, Recurrences, Asymptotics Read: Ch. 2.3, 3 Notes (draft) |
1/13 Homework 1 released |
| 1/16 MLK Day (no classes) | 1/18 Integer Multiplication, Solving Recurrences Read: Ch. 4.3-4.5 Dasgupta-Papadimitriou-Vazirani Sec. 2.2: [pdf] Notes (draft) |
1/20 Homework 1 due Homework 2 released |
| 1/23 Median and Selection Read: Ch. 9 Notes (draft) |
1/25 Quicksort, Probability and Randomized Algorithms Read: Ch. 7, 5 Notes (draft) |
1/27 Homework 2 due Homework 3 released |
| 1/30 Sorting Lower Bounds, Counting Sort Read: Ch. 8.1-2 Avrim Blum's Notes on sorting lower bounds Notes on Bucket Sort and Radix Sort (draft) |
2/1 Binary Search Trees Read: Ch. 12 Notes (draft) |
2/3 Homework 3 due Homework 4 released |
| 2/6 Hashing Read: Ch. 11 Notes (draft) |
2/8 Graphs, DFS, BFS, Dijkstra's Algorithm Read: Ch. 22, 24 Notes (draft) | 2/10 Homework 4 due Homework 5 released |
| 2/13 Strongly Connected Components Read: Ch. 24, 6 Notes (draft) | 2/15 Dijkstra's Algorithm, Amortized Analysis, Bellman-Ford Algorithm Read: Ch. 24.1, 24.3 Notes (draft) |
2/17 Homework 5 due |
| 2/20 President's Day (no class) |
2/22 MIDTERM |
|
| 2/27 Dynamic Programming: Floyd-Warshall, Longest Common Subsequence Read: Ch. 25.2, 15.4 Notes (draft) |
3/1 Chain Matrix Multiplication, Knapsack, Independent Set Notes (draft) |
3/3 Homework 6 released |
| 3/6 Greedy Algorithms Read: Ch. 16 Notes (draft) |
3/8 Minimum Spanning Trees (MST) Read: Ch. 23 Notes (draft) |
3/10 Homework 6 due Homework 7 released |
| 3/13 Minimum Cut/Maximum Flow Notes1 and Notes2. Read: Ch. 26.1-3 |
3/15 Whats Next? | 3/17 Homework 7 due |
3/20 Final Exam, 3:30pm-6:30pm |
Midterm: Wednesday, February 22, in class, 3:00 pm - 4:20 pm
Final: Monday, March 20, 3:30-6:30pm.
Both the midterm and final are closed-book. In the midterm, you are allowed to bring one letter-sized double-sided page of notes. In the final, you are allowed to bring two letter-sized double-sided page of notes.
Regrade Policy
We hold recitation sections in order to review some of the material and solve additional exercises with the students in smaller groups. The sections are optional but highly recommended. The schedule (including locations) of the recitation sections appears in the office hours calendar. Each section covers the material of the previous week except for Friday sections that cover the material of the same week.
The main textbook we use is:
Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein, Introduction to Algorithms, 3rd Edition, MIT Press
The book is available online through the Stanford library.
We will also occasionally use:
Jon Kleinberg, Éva Tardos, Algorithm Design, Pearson/Addison-Wesley
Sanjoy Dasgupta, Christos Papadimitriou, Umesh Vazirani, Algorithms, McGraw-Hill Education
We strongly recommend typesetting solutions to the homework assignments using LaTeX. LaTeX provides a convenient way to produce high-quality documents and it is the standard used for typesetting computer science papers.
Guide: An introduction to LaTeX can be found here. Other guides can be found at howtoTeX and Wikibooks.
Online environments: If you do not wish to install LaTeX, ShareLaTeX and Overleaf are online environments that compile previews of your documents as you type and allow you to share documents with collaborators (this feature won't be useful in this course, though). As a Stanford student, you get a free Overleaf Pro account.
LyX: LyX is a version of LaTeX with graphical interface.
Finding mathematical symbols: The introduction mentioned above contains a table of mathematical symbols in LaTeX. Alternatively, consider Detexify.