This course covers the essential information that every serious programmer needs to know about algorithms and data structures, with emphasis on applications and scientific performance analysis of Java implementations. Part I covers basic iterable data types, sorting, and searching algorithms.
An introduction to fundamental data types, algorithms, and data structures, with emphasis on applications and scientific performance analysis of Java implementations. Specific topics covered include: union-find algorithms; basic iterable data types (stack, queues, and bags); sorting algorithms (quicksort, mergesort, heapsort) and applications; priority queues; binary search trees; red-black trees; hash tables; and symbol-table applications.
All you need is a basic familiarity with programming in Java. This course is primarily aimed at first- and second-year undergraduates interested in engineering or science, along with high school students and professionals with an interest (and some background) in programming.
Although the lectures are designed to be self-contained, students wanting to expand their knowledge beyond what we can cover in a 6-week class can find a much more extensive coverage of this topic in our book Algorithms (4th Edition), published by Addison-Wesley Professional.
There will be two lectures (60-75 minutes each) each week. The lectures are divided into about 4-6 segments, separated by interactive quiz questions for you to to help you process and understand the material. In addition, there will be a problem set and a programming assignment each week and there will be a final exam.
Part I focuses on elementary data structures, sorting, and searching. Topics include union-find, binary search, stacks, queues, bags, insertion sort, selection sort, shellsort, quicksort, 3-way quicksort, mergesort,heapsort, binary heaps, binary search trees, red-black trees, separate chaining and linear probing hash tables, Graham scan, and kd-trees.
Part II focuses on graph and string-processing algorithms. Topics include depth-first search, breadth-first search, topological sort, Kosaraju-Sharir, Kruskal, Prim, Dijkistra, Bellman-Ford, Ford-Fulkerson, LSD radix sort, MSD radix sort, 3-way radix quicksort, multiway tries, ternary search tries, Knuth-Morris-Pratt, Boyer-Moore, Rabin-Karp, regular expression matching, run-length coding, Huffman coding, LZW compression, and the Burrows-Wheeler transform.
Yes. Our free booksite contains synopses of the text, web exercises, Java implementations of all the algorithms covered (and many more) that are designed for you to be able to download and use with one click, test data, and many other resources.
The two courses are complementary. This one is essentially a programming course that concentrates on developing code; that one is essentially a math course that concentrates on understanding proofs. This course is about learning algorithms in the context of implementing and testing them in practical applications; that one is about learning algorithms in the context of developing mathematical models that help explain why they are efficient. In typical computer science curriculums, a course like this one is taken by first- and second-year students and a course like that one is taken by juniors and seniors.
Yes. This course is for anyone using a computer to address large problems (and therefore needing efficient algorithms). At Princeton, over 25% of all students take the course, including people majoring in engineering, biology, physics, chemistry, economics, and many other fields, not just computer science.
Our central thesis is that algorithms are best understood by implementing and testing them. Our use of Java is essentially expository, and we shy away from exotic features, so we expect you would be able to adapt our code to your favorite language. However, we require that you submit the programming assignments in Java. If you have some experience programming in another language, you might find it worthwhile to learn our programming model by studying our book An Introduction to Programming in Java: An Interdisciplinary Approach and associated free booksite.
No certificates, statements of accomplishment, or other credentials will be awarded in connection with this course.